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كراسة المراجعة النهائية فى الرياضيات لامتحان نصف العام للصف السادس الابتدائى

كراسة المراجعة النهائية

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1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫االعتٌادٌة‬ ‫الكسور‬ ‫واختصار‬ ‫القسمة‬ ‫قابلٌة‬ ‫على‬ ‫مراجعة‬ ‫مثال‬1:‫عمى‬ ‫القسمة‬ ‫يقبل‬ ‫رقمين‬ ‫من‬ ‫ا‬ً‫ن‬‫مكو‬ ‫ا‬ً‫عدد‬ ‫اكتب‬2. ‫الحل‬........ :.......................................................................... ‫مثال‬2:‫عم‬ ‫القسمة‬ ‫يقبل‬ ‫الذي‬ ‫العدد‬ ‫حول‬ ‫ة‬‫دائر‬ ‫بوضع‬ ‫حدد‬‫ى‬2‫يقبل‬ ‫الذي‬ ‫تحت‬ ‫وخط‬ ، ‫عمى‬ ‫القسمة‬3:‫يمي‬ ‫فيما‬ 4657،564،657،6;3 ‫تدرٌب‬1:‫عمى‬ ‫القسمة‬ ‫تقبل‬ ‫صحيحة‬ ‫أعداد‬ ‫ثالثة‬ ‫اكتب‬5. :‫الحل‬........... ، ........... ، .......... ‫مثال‬3:‫اخت‬‫ص‬:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫ر‬ )‫أ‬== = )‫ب‬ = )‫ج‬)‫د‬= 11 72 074 094 3 17 ---- ---- ---- ---- ---- ---- ---- ---- 01 742 ---- ---- ‫لها‬ ‫التي‬ ‫األعداد‬ ‫هي‬ ‫األولية‬ ‫األعداد‬.‫فقط‬ ‫عامالن‬ :‫أن‬ ‫تذكر‬ 4‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬ )5( ‫آحادىا‬ ‫رقـ‬ ‫التي‬ ‫ىي‬ :3،5،7،9،;.) 5‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬ )8( ‫آحادىا‬ ‫التي‬ ‫ىي‬ :3‫أك‬8.) 6)‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬6‫عمى‬ ‫القسمة‬ ‫يقبؿ‬ ‫قاميا‬‫ر‬‫أ‬ ‫ع‬‫مجمك‬ ‫التي‬ ‫ىي‬ :6 ‫العدد‬ ‫مضاعفات‬ ‫(مف‬6.) :‫أن‬ ‫تذكر‬
7 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫األع‬ ‫اكتب‬‫بٌن‬ ‫المحصورة‬ ‫األولٌة‬ ‫داد‬1،55: :‫هي‬ ،‫األولية‬ ‫األعداد‬ .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. ‫التق‬‫ـ‬‫وٌم‬ 1:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ ) = = )‫أ‬ = )‫ب‬ 2‫اكتب‬ )5‫أ‬‫على‬ ‫القسمة‬ ‫تقبل‬ ‫عداد‬2،5:‫ا‬ً‫ع‬‫م‬ .......... ، .......... ، .......... ، ......... ، ........l ‫ال‬‫ـ‬‫واج‬‫ـ‬‫ب‬ ‫اكتب‬ )‫أ‬3‫عمى‬ ‫القسمة‬ ‫تقبل‬ ‫أعداد‬2،3‫ا‬ً‫مع‬: . ، ......... ، ................. ‫عمى‬ ‫القسمة‬ ‫يقبل‬ ‫ا‬ً‫عدد‬ ‫اكتب‬ )‫ب‬2،3.‫ا‬ً‫مع‬ .............. :‫ة‬‫صور‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ )‫ج‬ 4)=5)= 6)=7)= !‫معاٌا‬ ‫فكر‬ 27 10 ---- ---- ---- ---- 2 14 ---- ---- 2 71 ---- ---- 11 37 ---- ---- 124 024 ---- ---- 11 72 ---- ----
3 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ :‫األولى‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫النسبة‬ ‫معنى‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫النسبة‬‫أك‬ ‫كميتيف‬ ‫بيف‬ ‫نة‬‫ر‬‫مقا‬ ‫ىي‬.‫الكحدات‬ ‫نفس‬ ‫كليما‬ ‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫عدديف‬ ‫مثال‬1:‫ىدل‬ ‫مع‬ ‫ما‬ ‫إذا‬53‫ياسميف‬ ‫ما‬ ‫كمع‬ ‫جنيو‬73.‫جنيو‬ .‫ياسميف‬ ‫مع‬ ‫كما‬ ‫ىدل‬ ‫مع‬ ‫ما‬ ‫بيف‬ ‫قارف‬ :‫الحل‬ ‫كتكتب‬4:5‫أ‬‫ر‬‫كتق‬4‫إلى‬5 ‫مثال‬2::‫ة‬‫ر‬‫صك‬ ‫أبسط‬ ‫في‬ ‫العدديف‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ 7;،97 :‫الحل‬ ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 7;:97÷(5) 57:65÷(7) 9:;÷(5) 6:7‫ة‬‫ر‬‫صك‬ ‫أبسط‬ :‫آخر‬ ‫حل‬ ‫مثال‬2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : = ‫آخر‬ ‫كعدد‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ‫تدرٌب‬1:‫العددٌن‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬49،65)‫ب‬483:783)‫ج‬67،435 ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 49:65: ............: ............ : ............: ............: ............ : ..................:......: ............ :‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬4( ‫رقم‬ )1،2،3) 53 73 5 7 ‫ىدل‬ ‫مع‬ ‫ما‬ ‫ياسميف‬ ‫مع‬ ‫ما‬=== 4 5 7; 97 = == 57 7 ‫األكؿ‬ ‫العدد‬ ‫الثاني‬ ‫العدد‬ 9 ; 6 7 = )‫انُسثح‬ ‫(يقذو‬ ‫األول‬ ‫انحذ‬ )‫انُسثح‬ ‫(تاني‬ ‫انثاَي‬ ‫انحذ‬ -------- --------
0 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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2 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ ‫معنى‬ ‫على‬ ‫تمارٌن‬ :‫العددٌن‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ :‫التمهٌد‬ 49،73‫التالي‬‫ك‬ ‫المقدـ‬ ‫حدد‬ ‫ثـ‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ ‫مثال‬1:‫البنيف‬ ‫عدد‬ ‫كاف‬ ‫الفصكؿ‬ ‫أحد‬ ‫في‬48‫البنات‬ ‫كعدد‬ ‫تمميذ‬58:‫احسب‬ ،‫تمميذة‬ 4.‫البنات‬ ‫كعدد‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ) 5‫تالميذ‬ ‫كعدد‬ ‫البنات‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ).‫الفصؿ‬ ‫الحل‬ = ‫البنات‬ ‫عدد‬58‫تمميذة‬ = ‫البنيف‬ ‫عدد‬48‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬58+48=73‫ا‬‫ن‬‫ذ‬‫تممي‬ )‫أ‬‫البنيف‬ ‫عدد‬:‫البنات‬ ‫عدد‬ .....:..... .....:..... )‫ب‬‫البنات‬ ‫عدد‬:‫الفصؿ‬ ‫تالميذ‬ ‫عدد‬ .....:..... .....:..... ‫مثال‬2:‫بيف‬ ‫النسبة‬ ‫أكجد‬5.6،8.:8 ‫الحل‬ ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 5.6:8.:8 .....:..... .....:..... .....:..... .....:..... :‫التقوٌم‬‫ا‬ ‫ػدد‬‫ع‬ ‫ػاف‬‫ك‬ ‫إذا‬‫ػتركة‬‫ة‬‫الم‬ ‫ػدارس‬‫م‬‫ال‬ ‫ػدل‬‫ح‬‫إ‬ ‫ػي‬‫ف‬ ‫ػذ‬‫ي‬‫لتالم‬873‫ػدد‬‫ع‬ ‫ػاف‬‫ك‬‫ك‬ ،‫ػذة‬‫ي‬‫كتمم‬ ‫ا‬‫ن‬‫ذ‬‫ػ‬‫ي‬‫تمم‬ ‫البنيف‬738.‫ا‬‫ن‬‫ذ‬‫تممي‬ :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ 4.‫يقتيف‬‫ر‬‫بط‬ ‫البنات‬ ‫كعدد‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ )5.‫المدرسة‬ ‫كتالميذ‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ) .......................................................................................................................................................................... .......................................................................................................................................................................... ............................................................................................................................................................................ .............................................................................................................................................................................
1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬5‫رقم‬ )4،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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2 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫النسبة‬ ‫خواص‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫الطف‬4333‫اـ‬‫ر‬‫ج‬ ‫كيمك‬= ‫اـ‬‫ر‬‫ج‬ ‫الكيمك‬4333‫اـ‬‫ر‬‫ج‬ = ‫الجنيو‬433‫قرش‬= ‫المتر‬433‫سـ‬ ‫الفداف‬–‫اط‬‫ر‬‫القي‬–‫السيـ‬‫اعية‬‫ر‬‫الز‬ ‫اضي‬‫ر‬‫األ‬ ‫مساحة‬ ‫قياس‬ ‫كحدات‬ = ‫الفداف‬57‫اط‬‫ر‬‫قي‬= ‫اط‬‫ر‬‫القي‬57‫سيـ‬ :‫النسبة‬ ‫خواص‬ ‫خاصٌة‬1:.‫نة‬‫ر‬‫المقا‬‫ك‬ ‫التبسيط‬‫ك‬ ‫االختصار‬ ‫حيث‬ ‫مف‬ ‫العادم‬ ‫الكسر‬ ‫اص‬‫ك‬‫خ‬ ‫نفس‬ ‫ليا‬ ‫النسبة‬ ‫خاصٌة‬2:.‫صحيحيف‬ ‫عدديف‬ ‫يككنا‬ ‫أف‬ ‫يجب‬ ‫النسبة‬ ‫حدا‬ ‫خاصٌة‬3:.‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫قياسيما‬ ‫كحدات‬ ‫تككف‬ ‫أف‬ ‫يجب‬ ‫بينيما‬ ‫نسبة‬ ‫لتككيف‬ ‫كميتيف‬ ‫نة‬‫ر‬‫مقا‬ ‫عند‬ ‫خاصٌة‬4:]‫تمييز‬ ‫ليا‬ ‫ليس‬ ‫[النسبة‬ ‫كحدة‬ ‫لو‬ ‫ليس‬ ‫عدد‬ ‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫يف‬‫ر‬‫مقدا‬ ‫بيف‬ ‫النسبة‬ ‫خاصٌة‬5:.‫تيب‬‫ر‬‫الت‬ ‫عمى‬ ‫تحافظ‬ ‫النسبة‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬:5.5‫م‬‫عةر‬ ‫عدد‬ ‫إلى‬ ‫تحكيؿ‬ 4.9:5.5×(43) 49:55 ... : ... ‫المساحتيف‬ )‫ب‬3.:8، ‫اط‬‫ر‬‫قي‬49‫سيـ‬ :‫التحوٌل‬3.:8= ‫اط‬‫ر‬‫قي‬3.:8×57=4;‫سيـ‬ ‫الثانية‬ ‫المساحة‬ : ‫األكلى‬ ‫المساحة‬ 4;:49÷(5) <:; )‫ج‬:=÷=×== :‫أن‬ ‫تذكر‬ ‫سهى‬ ٌ‫فذا‬ ‫قيراط‬ 3 21 1 7 3 0 1 7 3 0 1 7 0 3 0 1 7 3
1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫مثال‬2:‫طكلو‬ ‫مستطيؿ‬63‫كعرضو‬ ‫سـ‬4;.‫كطكلو‬ ‫المستطيؿ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫المس‬ ‫محيط‬)‫العرض‬ + ‫(الطكؿ‬ = ‫تطيؿ‬×5 ( =63+4;× )5 =7;×5=<9‫سـ‬ ‫الطكؿ‬ : ‫المستطيؿ‬ ‫محيط‬ <9:63÷(---) ... : ... ... : ... :‫التقوٌم‬ ‫المبمغيف‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬583‫جنيو‬ ، ‫قرش‬ ‫الحؿ‬ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ 1 72
9 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )1،2) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )3) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ ‫خواص‬ ‫على‬ ‫تمارٌن‬ :‫والمصطلحات‬ ‫المفاهٌم‬ 4= ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ )5= ‫نؽ‬ ‫ط‬5π‫نؽ‬ 5‫الضمع‬ ‫طكؿ‬ = ‫األضالع‬ ‫متساكم‬ ‫المثمث‬ ‫محيط‬ )×6 :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ .......... = ‫بع‬‫ر‬‫الم‬ ‫محيط‬ )‫أ‬........................ ‫ة‬‫ر‬‫الدائ‬ ‫قطر‬ ‫طكؿ‬ )‫ب‬............................ = ‫مثال‬1:.‫ضمعو‬ ‫كطكؿ‬ ‫بع‬‫ر‬‫الم‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫إيجاد‬ ‫الحل‬ ‫الضمع‬ ‫طكؿ‬ : ‫بع‬‫ر‬‫الم‬ ‫محيط‬ ‫الضمع‬ ‫طكؿ‬×7‫الضمع‬ ‫طكؿ‬ :÷()‫الضمع‬ ‫طكؿ‬ 7:4 ‫يب‬‫ر‬‫تد‬4.‫ضمعو‬ ‫كطكؿ‬ ‫األضالع‬ ‫متساكم‬ ‫مثمث‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ : ‫الحؿ‬ ........................................................................................ ........................................................................................ ‫مثال‬2:.‫ىا‬‫قطر‬ ‫نصؼ‬ ‫كطكؿ‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫إيجاد‬ ‫الحل‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬:‫القطر‬ ‫نصؼ‬ ‫طكؿ‬ 5: ‫نؽ‬ ‫ط‬‫نؽ‬÷()‫نؽ‬ 5‫ط‬:4 ‫تدرٌب‬2:.‫ىا‬‫قطر‬ ‫كطكؿ‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ :‫أن‬ ‫تذكر‬
17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫مثال‬3:‫مساحتو‬ ‫مستطيؿ‬65‫سـ‬5‫كعرضو‬7:‫أكجد‬ .‫سـ‬ .‫المستطيؿ‬ ‫طكؿ‬ )‫أ‬.‫كطكلو‬ ‫المستطيؿ‬ ‫عرض‬ ‫بيف‬ ‫النسبة‬ )‫ب‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ :‫التقوٌم‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫س‬ 4= ‫كمحيطو‬ ‫بع‬‫ر‬‫م‬ ‫ضمع‬ ‫طكؿ‬ ‫بيف‬ ‫النسبة‬ )... : ... 5= ‫بع‬‫ر‬‫م‬ ‫في‬ ‫ضمعيف‬ ‫طكلي‬ ‫بيف‬ ‫النسبة‬ )... : ... 6... : ... = ‫كمحيطيا‬ ‫ة‬‫ر‬‫الدائ‬ ‫قطر‬ ‫نصؼ‬ ‫بيف‬ ‫النسبة‬ )
13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )4،5) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬7( ‫رقم‬ )6،7،8) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫وخواصها‬ ‫النسبة‬ ‫على‬ ‫متنوعة‬ ‫تدرٌبات‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ :‫التمهٌد‬، :÷ = : = × == = =4:5 ‫اال‬‫ا‬‫مث‬1:‫ػي‬‫ػ‬‫ى‬ ‫ػد‬‫ػ‬‫م‬‫أح‬ ‫ككزف‬ ‫ػاني‬‫ػ‬‫ى‬ ‫كزف‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬8:9‫ػاف‬‫ػ‬‫ك‬‫ك‬‫ػد‬‫ػ‬‫م‬‫أح‬ ‫كزف‬:5‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫ج‬‫ك‬ .‫ىاني‬ ‫كزف‬ ‫الحل‬ ‫أحمد‬ ‫كزف‬ : ‫ىاني‬ ‫كزف‬ 8:9‫اء‬‫ز‬‫األج‬ ::5‫الحقيقية‬ ‫القيمة‬ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬:5÷9=45‫كجـ‬ = ‫ىاني‬ ‫كزف‬45×8=93‫كجـ‬ ‫مثال‬2:‫تالميذىا‬ ‫عدد‬ ‫مةتركة‬ ‫مدرسة‬873‫تممي‬‫ػي‬‫ى‬ ‫ػات‬‫ن‬‫الب‬ ‫ػدد‬‫ع‬‫ك‬ ‫ػيف‬‫ن‬‫الب‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ‫ككانت‬ ،‫ا‬‫ن‬‫ذ‬ 7:8.‫البنيف‬ ‫كعدد‬ ‫البنات‬ ‫عدد‬ ‫احسب‬ . ‫الحل‬ ‫ع‬‫المجمك‬ : ‫البنات‬ ‫عدد‬ : ‫البنيف‬ ‫عدد‬ 7:8:<‫اء‬‫ز‬‫األج‬ ::873‫الحقيقية‬ ‫القيمة‬ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬873÷<=93‫ا‬‫ن‬‫ذ‬‫تممي‬ ‫عدد‬= ‫البنيف‬7×93=573‫تمميذ‬ = ‫البنات‬ ‫عدد‬8×93=633‫تمميذة‬ = ‫ع‬‫المجمك‬ = ‫التأكيد‬573+633=873‫ا‬‫ن‬‫ذ‬‫تممي‬ :‫تدرٌب‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫كن‬ )‫ػياـ‬‫ػ‬‫ػ‬‫س‬( ‫كزف‬ ‫ػى‬‫ػ‬‫ػ‬‫ل‬‫إ‬ )‫ػامية‬‫ػ‬‫ػ‬‫س‬( ‫كزف‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬::8، ‫نييما‬‫ز‬‫ك‬ ‫بيف‬ ‫الفرؽ‬ ‫ككاف‬<.9.‫منيما‬ ‫كؿ‬ ‫كزف‬ ‫أكجد‬ .‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ‫س‬ ‫كزف‬ : ‫سامية‬ ‫كزف‬......... : ‫ياـ‬ ............. : ............ : ............ ............. : ............ : ............ 3 01 1 73 ( =1×0+ )3) = 1 73 3 01 2 0 3 01 2 0 2 7 2 0 2 7 2 0 7 2 10 71 1 7 !‫معاٌا‬ ‫فكر‬
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬8‫رقم‬ )1،2،5 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫وخواصها‬ ‫النسبة‬ ‫على‬ ‫متنوعة‬ ‫تدرٌبات‬ ‫على‬ ‫تمارٌن‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫التمهٌد‬ = ‫الساعة‬93‫دقيقة‬= ‫اليكـ‬57‫ساعة‬ ..................................... = ‫المستطيؿ‬ ‫محيط‬ ‫تمرٌن‬1:‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬;‫يكماف‬ ، ‫ساعات‬)‫ب‬4;،9.6 ‫الحل‬‫الحل‬ ....... = ‫يكماف‬......................................................... .......................................................................... .......................................................................... .......................................................................... ‫تمرٌن‬2:‫بعدييا‬ ‫بيف‬ ‫النسبة‬ ‫الةكؿ‬ ‫مستطيمة‬ ‫أرض‬ ‫قطعة‬7::‫محيطيا‬ ‫ككاف‬ ،77.‫متر‬ .‫األرض‬ ‫مساحة‬ ‫أكجد‬ )‫العرض‬ + ‫(الطكؿ‬×5 ‫المحيط‬ : ‫الثاني‬ ‫البعد‬ : ‫األكؿ‬ ‫البعد‬ 7:::55 :77 .... = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬........................................................ .................................................................... = ‫األكؿ‬ ‫البعد‬ .................................................................... = ‫الثاني‬ ‫البعد‬ ................... = ‫المساحة‬.................................................... :‫التقوٌم‬ ‫تفاعيما‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫تاف‬‫ر‬‫عما‬7::‫ىك‬ ‫تفاعيما‬‫ر‬‫ا‬ ‫بيف‬ ‫الفرؽ‬ ‫ككاف‬ ،<.‫منيما‬ ‫كؿ‬ ‫تفاع‬‫ر‬‫ا‬ ‫أكجد‬ .‫متر‬ ‫الحل‬ ....................................................................... ....................................................................... .......................................................................
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬8‫رقم‬ )3،4،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫أعداد‬ ‫ثالثة‬ ‫بٌن‬ ‫النسبة‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫التمهٌد‬ 4... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫نصؼ‬ ‫أ‬ ‫كانت‬ ‫إذا‬ ) 5... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫ضعؼ‬ ‫أ‬ ‫كانت‬ ‫إذا‬ ) ‫مثااال‬1:‫األكؿ‬ ‫ػدفع‬‫ػ‬‫ػ‬‫ف‬ ،‫ة‬‫ر‬‫ػا‬‫ػ‬‫ج‬‫ت‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػخاص‬‫ػ‬‫ػ‬‫ة‬‫أ‬ ‫ػة‬‫ػ‬‫ث‬‫ثال‬ ‫ػترؾ‬‫ػ‬‫ػ‬‫ة‬‫ا‬733‫ػاني‬‫ػ‬‫ث‬‫ال‬ ‫ػع‬‫ػ‬‫ػ‬‫ف‬‫كد‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬933،‫ػو‬‫ػ‬‫ػ‬‫ي‬‫جن‬ ‫الثالث‬ ‫كدفع‬4333.‫جنيو‬ ‫أكجد‬.‫ا‬‫ك‬‫دفع‬ ‫ما‬ ‫بيف‬ ‫النسبة‬ : ‫الحل‬ ‫الثالث‬ ‫دفعو‬ ‫ما‬ : ‫الثاني‬ ‫دفعو‬ ‫ما‬ : ‫األكؿ‬ ‫دفعو‬ ‫ما‬ 733:933:4333÷(433) 7:9:43÷(5) 5:6:8 ‫مثال‬2:= ‫ب‬ : ‫أ‬ ‫كاف‬ ‫إذا‬ ،‫ػ‬‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫أعداد‬ ‫ثالثة‬7:6= ‫ػ‬‫ح‬ : ‫ب‬ ‫بيف‬ ‫النسبة‬‫ك‬ ،5:6. ‫ػ‬‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ 7:6... : : ..5:6 .. : .. : .. ‫تدرٌب‬1:‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : 3.8، ،3.458 ‫الحل‬ 3.8::3.458 ............................................. ............................................. ............................................. :‫التقوٌم‬ = ‫ب‬ : ‫أ‬ ‫كانت‬ ‫إذا‬5:6= ‫ػ‬‫ح‬ : ‫ب‬ ،9:8‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ :‫أكجد‬ . ‫الحل‬ ‫أ‬‫ب‬ :‫ػ‬‫ح‬ : ... : ... : ... ... : ... : ... ... : ... : ... 1 0 1 0
74 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫ر‬ )‫قم‬2،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫أعداد‬ ‫ثالثة‬ ‫بٌن‬ ‫النسبة‬ ‫على‬ ‫تمارٌن‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫ثمث‬ ‫أ‬ ‫كاف‬ ‫إذا‬ ) 5= ‫ب‬ : ‫أ‬ ‫كاف‬ ‫إذا‬ )8:9= ‫ػ‬‫ح‬ : ‫ب‬ ،;:<... : ... : ... = ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ :‫فإف‬ ، ‫الحؿ‬ ..................................... ..................................... ..................................... ..................................... ‫تمرٌن‬1:‫كعمي‬ ‫أحمد‬ ‫بيف‬ ‫الماؿ‬ ‫مف‬ ‫مبمغ‬ ‫ع‬‫كز‬‫ػبة‬‫س‬‫بن‬ ‫ػارؽ‬‫ط‬‫ك‬5:8:6‫ػد‬‫ي‬‫ز‬‫ي‬ ‫ػي‬‫م‬‫ع‬ ‫ػع‬‫م‬ ‫ػا‬‫م‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، ‫بمقدار‬ ‫أحمد‬ ‫مع‬ ‫ما‬ ‫عف‬78.‫الكمي‬ ‫المبمغ‬ ‫ككذلؾ‬ ،‫منيـ‬ ‫كؿ‬ ‫مع‬ ‫ما‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ‫ارٌن‬‫ا‬‫تم‬2:‫ػي‬‫ػ‬‫ى‬ ‫ػث‬‫ػ‬‫م‬‫المث‬ ‫ػا‬‫ػ‬‫ي‬‫ا‬‫ك‬‫ز‬ ‫ػات‬‫ػ‬‫س‬‫قيا‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬8:9::‫ػك‬‫ػ‬‫ن‬‫ك‬ ‫ػة‬‫ػ‬‫ي‬‫اك‬‫ز‬ ‫ػؿ‬‫ػ‬‫ك‬ ‫ػاس‬‫ػ‬‫ي‬‫ق‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ع‬ .‫اياه‬‫ك‬‫ز‬ ‫لقياس‬ ‫بالنسبة‬ ‫المثمث‬ ‫الحل‬ ..................................... ..................................... ..................................... ..................................... ..................................... ‫زوايا‬ ‫قياساخ‬ ‫يجًىع‬ = ‫انًثهث‬114ِ ‫أن‬ ‫تذكر‬
77 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫تمرٌن‬3:‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫كانت‬ ‫إذا‬= ‫أ‬ ‫ككانت‬ ،‫ب‬ = ‫أ‬ ‫كانت‬ ‫إذا‬ ،‫أعداد‬ ‫ثالثة‬ ‫ػ‬.‫ػ‬‫ح‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ ‫الحؿ‬ ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ‫تمرٌن‬4:‫ىي‬ ‫أضالعو‬ ‫اؿ‬‫ك‬‫أط‬ ‫بيف‬ ‫النسبة‬ ‫مثمث‬5:6:7‫محيطو‬ ‫كاف‬ ‫فإذا‬ ،87‫اؿ‬‫ك‬‫ػ‬‫ط‬‫أ‬ ‫ػب‬‫س‬‫اح‬ .‫سـ‬ .‫أضالعو‬ ‫الحؿ‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... 2 3 14 3
73 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫رقم‬ )1،3،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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70 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫رقم‬ )1،3،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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72 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫تط‬]‫[المعدل‬ ‫النسبة‬ ‫على‬ ‫بٌقات‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫المعدل‬‫مختمفيف‬ ‫نكعيف‬ ‫مف‬ ‫كميتيف‬ ‫بيف‬ ‫النسبة‬‫ػؿ‬‫ك‬‫ل‬ ‫ػى‬‫ل‬‫األك‬ ‫ػة‬‫ي‬‫الكم‬ ‫ػدات‬‫ح‬‫ك‬ ‫ػدد‬‫ع‬ ‫ػي‬‫ى‬ ‫ػاس‬‫ي‬‫ق‬ ‫كحدة‬ ‫كلممعدؿ‬ .‫الثانية‬ ‫الكمية‬ ‫مف‬ ‫كحدة‬ ‫مثاؿ‬4‫ينتج‬ ‫مصنع‬ :6333‫في‬ ‫لمبة‬7.‫المصنع‬ ‫ليذا‬ ‫اإلنتاج‬ ‫معدؿ‬ ‫أكجد‬ .‫ساعات‬ ‫الحل‬ = ‫المعدؿ‬=:83‫ساعة‬ / ‫لمبة‬ ‫أ‬‫ر‬‫[كتق‬:83]‫ساعة‬ ‫لكؿ‬ ‫لمبة‬ ‫تدرٌب‬1:‫ة‬‫ر‬‫سيا‬ ‫تستيمؾ‬83‫ػافة‬‫س‬‫م‬ ‫ػع‬‫ط‬‫لق‬ ‫يف‬‫ز‬‫ػ‬‫ن‬‫الب‬ ‫ػف‬‫م‬ ‫ػر‬‫ت‬‫ل‬683‫ػتيالؾ‬‫س‬‫ا‬ ‫ػدؿ‬‫ع‬‫م‬ ‫ػب‬‫س‬‫اح‬ .‫ػر‬‫ت‬‫م‬ ‫ػك‬‫م‬‫كي‬ .‫يف‬‫ز‬‫لمبن‬ ‫ة‬‫ر‬‫السيا‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تدرٌب‬2:‫تنتج‬ ‫األكلى‬ ،‫ماكينتاف‬6333‫في‬ ‫القماش‬ ‫مف‬ ‫متر‬7‫تنتج‬ ‫الثانية‬‫ك‬ ،‫ساعات‬5853‫ػي‬‫ف‬ ‫ػر‬‫ت‬‫م‬6 .‫كفاءة‬ ‫أكثر‬ ‫أييما‬ .‫كنصؼ‬ ‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... :‫التقوٌم‬ 4‫ينتج‬ ‫مصنع‬ )8333‫في‬ ‫عصير‬ ‫عمبة‬;.‫اإلنتاج‬ ‫معدؿ‬ ‫احسب‬ .‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... 5‫مسافة‬ ‫تقطع‬ ‫ة‬‫ر‬‫سيا‬ )583‫في‬ ‫متر‬ ‫كيمك‬8.‫المتكسطة‬ ‫عة‬‫السر‬ ‫أكجد‬ .‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. 3444‫نًثح‬ 0‫ساعاخ‬
71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬15) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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72 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫األولى‬ ‫الوحدة‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ ‫تمرٌن‬1::‫بيف‬ ‫النسبة‬ ‫أكجد‬ )‫أ‬4:5.5‫المساحتيف‬ )‫ب‬3.:8، ‫اط‬‫ر‬‫قي‬49‫سيـ‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ 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............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ‫المبمغيف‬ )‫ج‬583: ‫قرش‬:‫جنيو‬)‫د‬8÷47.8... = ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ 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............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ‫تمرٌن‬2:‫مبمغ‬ ‫قسـ‬483.‫الثاني‬ ‫نصيب‬ = ‫األكؿ‬ ‫نصيب‬ ‫يككف‬ ‫بحيث‬ ‫ةخصيف‬ ‫بيف‬ ‫جنيو‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تمرٌن‬3:‫منى‬ ‫ككزف‬ ،‫منى‬ ‫كزف‬ = ‫آية‬ ‫كزف‬ ‫كاف‬ ‫إذا‬.‫أركل‬ ‫كزف‬ ‫بمقدار‬ ‫آية‬ ‫كزف‬ ‫عمى‬ ‫يد‬‫ز‬‫ي‬ ‫أركل‬ ‫كزف‬ ‫كاف‬ ‫إذا‬ ‫منيـ‬ ‫كؿ‬ ‫كزف‬ ‫فأكجد‬57.‫اـ‬‫ر‬‫كيمكج‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تمرٌن‬4:‫ػبة‬‫س‬‫كن‬ ‫ػيا‬‫ض‬‫عر‬ ‫ػى‬‫ل‬‫إ‬ ‫ػا‬‫ي‬‫طكل‬ ‫ػيف‬‫ب‬ ‫ػبة‬‫س‬‫الن‬ ‫الةكؿ‬ ‫مستطيمة‬ ‫أرض‬ ‫قطعة‬8:6‫ػا‬‫ي‬‫محيط‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، 97.‫األرض‬ ‫قطعة‬ ‫مساحة‬ ‫أكجد‬ .‫متر‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... 3 2 1 7 9 0 7 3 3 0 7 3
71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬14‫رقم‬ )1،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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79 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التناسب‬ :‫الثانٌة‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫التناسب‬ ‫معنى‬ :‫والمصطلحات‬ ‫المفاهٌم‬:‫التناسب‬‫أك‬ ‫نسبتيف‬ ‫تساكم‬ ‫ىك‬.‫أكثر‬ :‫التمهٌد‬:‫يأتي‬ ‫ما‬ ‫أكمؿ‬ 4)== 5)== ‫مثال‬1::‫اآلتي‬ ‫الجدكؿ‬ ‫أكمؿ‬ )‫أ‬= = ×9 )‫ب‬;= = × = ÷45 :‫أن‬ ‫ٌنتج‬ ‫الجدول‬ ‫من‬ == ‫األعداد‬ ‫كتعتبر‬6،5،<،9،45،;‫متن‬ ‫أعداد‬‫اسبة‬ ‫تدرٌب‬1:ً‫اآلت‬ ‫التناسب‬ ‫أكمل‬ : )‫أ‬= = = = = )‫ب‬ 3 7 --- 1 --- 72 0 3 11 3 --- 71 6<--48-- 5--;--45 ×7 3 ÷7 3 9 1 7 3 11 3 7 3 1 1 3 7 70 3 3 7 9 1 --- 1 0 3 17 11 74 3 17 9 0
34 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬16) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫التناسب‬ ‫خواص‬ :‫والمصطلحات‬ ‫المفاهٌم‬:‫التناسب‬ ‫خواص‬ ‫خاصٌة‬1::‫يمي‬ ‫كما‬ ‫احدة‬‫ك‬ ‫نسبة‬ ‫بمعمكمية‬ ‫تناسب‬ ‫تككيف‬ ‫يمكف‬ -.)‫(تناسب‬ ‫األكلى‬ ‫النسبة‬ = ‫الناتجة‬ ‫النسبة‬ ‫فإف‬ ‫ا‬‫ن‬‫صفر‬ ‫يساكم‬ ‫ال‬ ‫عدد‬ ‫في‬ ‫النسبة‬ ‫دم‬ ‫ضرب‬ -‫النس‬ ‫فإف‬ ،‫ا‬‫ن‬‫صفر‬ ‫يساكم‬ ‫ال‬ ‫عدد‬ ‫عمى‬ ‫النسبة‬ ‫حدم‬ ‫قسمة‬ ‫عند‬.)‫(تناسب‬ ‫األكلى‬ ‫النسبة‬ = ‫الناتجة‬ ‫بة‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : 4)=5= ) ‫الحؿ‬ 4)=5)= ‫مثال‬2:‫وأكمل‬ ‫الحظ‬ : = )‫أ‬ ‫الحظ‬ 6،8،45،53 6×53=93)‫الطرفيف‬ ‫ضرب‬ ‫(حاصؿ‬ 8×45=93‫ض‬ ‫(حاصؿ‬)‫الكسطيف‬ ‫رب‬ ‫خاصٌة‬2:‫الطرفيف‬ ‫ضرب‬ ‫حاصؿ‬ = ‫الكسطيف‬ ‫ضرب‬ ‫حاصؿ‬ ‫مثال‬3:ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫أوجد‬ : = )‫أ‬، ‫س‬ )‫ب‬:،57،89 ‫الحل‬‫الحل‬ = ‫س‬= = ‫س‬453= ‫س‬ = ‫س‬6 3 2 173 71 1 17 3 274 ×0 ×0 2 ÷3 ÷3 1 3 71 3 2 17 74 ٍ‫انىسطي‬ ٍ‫انطرفي‬ 3 70 12 ‫ش‬ 70×12 3 ‫ش‬ 2 70 21 2×70 21
37 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫مثال‬4:‫اآلتٌة‬ ‫لألعداد‬ ‫المتناسب‬ ‫الثالث‬ ‫الحد‬ ‫أوجد‬ : 4.;،4.8،6 ‫الحؿ‬ 4.;،4.8، ‫س‬ ،6 = = = ‫س‬ = ‫س‬6.9 ‫تدرٌب‬1:‫لألعداد‬ ‫المتناسب‬ ‫الرابع‬ ‫قٌمة‬ ‫أوجد‬ : 9،7.;،48 ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬17‫رقم‬ )1،2 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 1.1 1.2 ‫ش‬ 3 1.1×3 1.2 2.0 1.2
33 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التناسب‬ ‫خواص‬ ‫تابع‬ :ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫أوجد‬ :‫التمهٌد‬ 4)=3.; ‫الحل‬ = + ‫س‬6=7 = ‫س‬7–6 = ‫س‬4 ‫مثال‬1:‫يمزـ‬ ‫تيف‬ ‫بى‬‫ر‬‫م‬ ‫لعمؿ‬ ‫نحتاج‬7.;‫إلى‬ ‫السكر‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬9.‫أكجد‬ .‫التيف‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ 4‫إلى‬ ‫يضاؼ‬ ‫السكر‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫كـ‬ )48‫التيف؟‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ 5‫إلى‬ ‫تضاؼ‬ ‫التيف‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫كـ‬ )47.7‫السكر؟‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ‫التيف‬ ‫كزف‬948 ‫السكر‬ ‫كزف‬7.;‫س‬ ‫كز‬= = )‫(س‬ ‫التيف‬ ‫ف‬4;‫اـ‬‫ر‬‫كيمكج‬ :‫تدرٌب‬ ‫إلى‬ ‫ة‬‫ر‬‫سيا‬ ‫تحتاج‬47‫ػافة‬‫س‬‫م‬ ‫ػع‬‫ط‬‫لق‬ ‫يف‬‫ز‬‫ػ‬‫ن‬‫الب‬ ‫ػف‬‫م‬ ‫لتر‬4:8‫إذا‬ ‫ة‬‫ر‬‫ػيا‬‫س‬‫ال‬ ‫ػا‬‫ي‬‫تقطع‬ ‫ػر‬‫ت‬‫م‬ ‫ػك‬‫م‬‫كي‬ ‫ػـ‬‫ك‬ .‫ػكمتر‬‫م‬‫كي‬ ‫استخدمت‬53.‫يف‬‫ز‬‫بن‬ ‫لتر‬ ‫الحل‬ ‫المسافة‬4:8‫س‬ ‫ات‬‫ر‬‫المت‬ ‫عدد‬4753 = = )‫(س‬ ‫المسافة‬583‫كيمكمتر‬ + ‫ش‬3 2 + ‫ش‬2 2 1 14 10.0×1 0.1 122×74 10
30 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ 1‫أو‬ ):ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫جد‬ = ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... ......................................................................................................................................................... 5‫ػا‬‫ػ‬‫ي‬‫تفاع‬‫ر‬‫ا‬ ‫ػة‬‫ػ‬‫ي‬‫ابتدائ‬ ‫ػة‬‫ػ‬‫س‬‫مدر‬ )47‫ػا‬‫ػ‬‫م‬ ‫ػة‬‫ػ‬‫ظ‬‫لح‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػا‬‫ػ‬‫ي‬‫ظم‬ ‫ػكؿ‬‫ػ‬‫ط‬‫ك‬ ‫ا‬‫ن‬‫ػر‬‫ػ‬‫ت‬‫م‬8‫ة‬‫ر‬‫ػج‬‫ػ‬‫ة‬ ‫ػاع‬‫ػ‬‫ف‬‫ت‬‫ر‬‫ا‬ ‫ػكف‬‫ػ‬‫ك‬‫ي‬ ‫ػـ‬‫ػ‬‫ك‬‫ف‬ .‫ا‬‫ن‬‫ػر‬‫ػ‬‫ت‬‫م‬ ‫ظميا‬ ‫طكؿ‬6.‫المحظة‬ ‫نفس‬ ‫في‬ ‫متر‬ ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... ......................................................................................................................................................... ‫ا‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫لواجب‬17‫رقم‬ )3،4،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 7‫ش‬ 17 2 7
32 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫الرسم‬ ‫مقٌاس‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫الرسـ‬ ‫مقياس‬ :‫التمهٌد‬ = ‫الكيمكمتر‬4333‫متر‬،= ‫المتر‬433‫سـ‬،= ‫الكيمكمتر‬433333‫سـ‬ ‫مثاؿ‬4‫ما‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫ة‬‫ر‬‫القاى‬ ‫ج‬‫بر‬ ‫تفاع‬‫ر‬‫ا‬ ‫كاف‬ ‫إذا‬ :45‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬4;3.‫متر‬ ‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬.‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫ة‬‫ر‬ ‫الحل‬ :ً‫ال‬‫أو‬‫ما‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫ة‬‫ر‬‫القاى‬ ‫ج‬‫بر‬ ‫تفاع‬‫ر‬‫ا‬ ‫التحكيؿ‬45‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬4;3.‫متر‬ .‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫ة‬‫ر‬‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ‫بالسم‬ ‫البرج‬ ‫ارتفاع‬ :‫التحوٌل‬ :ً‫ال‬‫أو‬ 4;3= ‫متر‬4;3×433=4;333‫سـ‬ ‫ة‬‫ر‬‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬‫الحقيقي‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ : 45:4;333÷(9) 5:6333÷(5) 4:4833 :‫أف‬ ‫أم‬=.‫الرسـ‬ ‫مقياس‬ ‫عف‬ ‫يعبر‬ ‫بالكسر‬ ‫كىذا‬ :‫الرسم‬ ‫مقٌاس‬ ‫حاالت‬ > ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ *4‫تكبير‬ ‫يككف‬ *< ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬4‫تصغير‬ ‫يككف‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ ‫أن‬ ‫تذكر‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 1 1244
31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫مثال‬2: ‫مدينتيف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬:8‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫ككانت‬ ‫كيمكمتر‬48.‫سـ‬ .‫يعني‬ ‫كماذا‬ .‫يطة‬‫ر‬‫الخ‬ ‫ليذه‬ ‫الرسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬:8×433333=:833333‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ ‫مقياس‬= ‫الرسـ‬= :ً‫ٌعن‬ ‫وهذا‬ ‫يمثؿ‬ ‫الرسـ‬ ‫في‬ ‫اسـ‬ ‫كؿ‬ ‫أف‬833333.‫الحقيقة‬ ‫في‬ ‫سـ‬ :‫أن‬ ‫الحظ‬‫الرسـ‬ ‫مقياس‬ ‫في‬ ‫التحكيالت‬ ‫أىـ‬ ‫متر‬ ‫كيمك‬‫سـ‬ ‫متر‬‫سـ‬ ‫مـ‬‫سـ‬ ‫الواجب‬ 4‫ب‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬ )‫ػك‬‫ب‬‫أم‬ ‫ػكـ‬‫ك‬‫ك‬ ‫اف‬‫ك‬‫أس‬ ‫يف‬73‫الخر‬ ‫ػى‬‫م‬‫ع‬ ‫ػا‬‫م‬‫بيني‬ ‫ػافة‬‫س‬‫الم‬‫ك‬ ،‫ا‬‫ن‬‫ػكمتر‬‫م‬‫كي‬‫ػة‬‫ط‬‫ي‬43‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ .‫يعني‬ ‫كماذا‬ ‫يطة‬‫ر‬‫الخ‬ ‫ليذه‬ ‫الرسـ‬ ‫مقياس‬ ‫الحل‬ ................................................................................................................. ................................................................................................................. 2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ) )‫أ‬6.8‫سـ‬ ..... = ‫كيمكمتر‬ .................... = ‫الرسـ‬ ‫مقياس‬ )‫ب‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 12 2244444 1 244444 ×144444 ×144 ÷14
32 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ‫مقٌاس‬ ‫تابع‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4< ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ )4.................. ‫يككف‬ 5> ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ )4............. ‫يككف‬...... 6)48‫سـ‬ .... = ‫كيمكمتر‬ ‫تمرٌن‬1:‫طكلو‬ ‫اعي‬‫ر‬‫ز‬ ‫يؽ‬‫ر‬‫ط‬5.8‫يمثؿ‬ ‫طكلو‬ ‫فكاف‬ ،‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫ظير‬ ،‫كيمكمتر‬47.‫سـ‬ .‫يعني‬ ‫كماذا‬ ‫يطة‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ ............................... = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬ ....................................... = ‫الرسـ‬ ‫مقياس‬ ........................................................ ‫مثال‬1:‫الحقيقي‬ ‫طكليا‬ ‫ة‬‫ر‬‫حة‬ ‫تكبير‬ ‫تـ‬ ‫ة‬‫ر‬‫مكب‬ ‫عدسة‬ ‫باستخداـ‬7‫التكبير‬ ‫بعد‬ ‫طكليا‬ ‫ككاف‬ ،‫مـ‬9.‫سـ‬ .)‫الرسـ‬ ‫(مقياس‬ ‫التكبير‬ ‫نسبة‬ ‫احسب‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬7÷43=3.7‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ == = ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انح‬ ‫انطىل‬‫قيقي‬ 1 4.0 14 0 12 1
31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫عمى‬ ‫ية‬‫ر‬‫اإلسكند‬‫ك‬ ‫ة‬‫ر‬‫القاى‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬6.8‫أف‬ ‫ػت‬‫م‬‫عم‬ ‫إذا‬ ‫ػـ‬‫س‬‫الر‬ ‫ػاس‬‫ي‬‫مق‬ ‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ ‫بينيما‬ ‫المسافة‬543.‫كيمكمتر‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. ‫الواجب‬ 4‫ػي‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ة‬‫ح‬ ‫ػر‬‫ػ‬‫ػ‬‫ي‬‫تكب‬ ‫ػـ‬‫ػ‬‫ػ‬‫ت‬ ‫ة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ب‬‫مك‬ ‫ػة‬‫ػ‬‫ػ‬‫س‬‫عد‬ ‫ػتخداـ‬‫ػ‬‫ػ‬‫س‬‫با‬ )8‫ػر‬‫ػ‬‫ػ‬‫ي‬‫التكب‬ ‫ػد‬‫ػ‬‫ػ‬‫ع‬‫ب‬ ‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ‫ػر‬‫ػ‬‫ػ‬‫ت‬‫ممميم‬ 43.‫التكبير‬ ‫نسبة‬ ‫احسب‬ .‫سـ‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 5)‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ك‬‫ك‬ ‫ػكيس‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫س‬‫ر‬;.9‫ػي‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ك‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬4:5 .‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ .‫كيمكمتر‬ ‫الحل‬ ................................................................................. ................................................................................. .................................................................................
39 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الحقٌق‬ ‫الطول‬ ‫إٌجاد‬ :‫التمهٌد‬‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬78‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫ككانت‬ ‫كيمكمتر‬6.‫سـ‬ .‫الرسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. ‫اال‬‫ا‬‫مث‬1:‫ا‬ ‫ػي‬‫ػ‬‫ف‬‫ا‬‫ر‬‫جغ‬ ‫ػكر‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫م‬‫ػر‬‫ػ‬‫ح‬‫الب‬ ‫ػو‬‫ػ‬‫ج‬‫لك‬4:4333333‫ػديف‬‫ػ‬‫م‬‫ب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫فكا‬ ، 68.‫ات‬‫ر‬‫بالكيمكمت‬ ‫البمديف‬ ‫بيف‬ ‫البعد‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ = ‫الرسـ‬ ‫مقياس‬ = = ‫الحقيقي‬ ‫الطكؿ‬=68333333‫سـ‬ = ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫الطكؿ‬68333333÷433333=683‫كيمكمتر‬ ‫اادرٌب‬‫ا‬‫ت‬1:‫ػم‬‫ػ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػكيس‬‫ػ‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ت‬4:833333‫ػى‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػاة‬‫ػ‬‫ػ‬‫ن‬‫الق‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ، ‫يطة‬‫ر‬‫الخ‬67.9.‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫الطكؿ‬ ‫أكجد‬ .‫سـ‬ ‫الحؿ‬ ................................................................................. ................................................................................. ................................................................................. :‫اوٌم‬‫ا‬‫التق‬‫ػك‬‫ػ‬‫ى‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬‫بال‬ ‫ػـ‬‫ػ‬‫س‬‫الر‬ ‫ػاس‬‫ػ‬‫ي‬‫مق‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػث‬‫ػ‬‫ي‬‫ح‬ ‫ػكنية‬‫ػ‬‫س‬‫ال‬ ‫ات‬‫ر‬‫ػا‬‫ػ‬‫م‬‫الع‬ ‫ػدل‬‫ػ‬‫ح‬‫إل‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬ ‫ػاط‬‫ػ‬‫ق‬‫الت‬ ‫ػـ‬‫ػ‬‫ت‬4333:4. ‫فإذا‬‫ىك‬ ‫ة‬‫ر‬‫بالصك‬ ‫السكنية‬ ‫ة‬‫ر‬‫العما‬ ‫تفاع‬‫ر‬‫ا‬ ‫كاف‬6‫تفا‬‫ر‬‫ا‬ ‫فما‬ .‫سـ‬.‫الحقيقة‬ ‫في‬ ‫عيا‬ ‫الحل‬ ................................................................................. ................................................................................. ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 1 1444444 32 ‫انحقيقي‬ ‫انطىل‬ 1444444×32 1
04 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬ 4‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػاحة‬‫ػ‬‫س‬‫الم‬ ‫ػمحة‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬ُ‫ت‬ )4:53333‫بالم‬ ‫ع‬‫ػار‬‫ػ‬‫ة‬ ‫ػر‬‫ػ‬‫ي‬‫ظ‬ ‫ػإذا‬‫ػ‬‫ف‬ ،‫ائط‬‫ر‬‫ػ‬‫ػ‬‫خ‬‫ال‬ ‫ػدل‬‫ػ‬‫ح‬‫إ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫ن‬ ‫بطكؿ‬:.‫باألمتار‬ ‫ع‬‫الةار‬ ‫ىذا‬ ‫طكؿ‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 5‫رسـ‬ ‫بمقياس‬ ‫مرسكمة‬ ‫يطة‬‫ر‬‫خ‬ )6:;33333‫عمييا‬ ‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫فإذا‬ ،45.‫سـ‬ ‫الحقيقية‬ ‫المسافة‬ ‫أكجد‬.‫البمديف‬ ‫بيف‬ ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 3‫(ص‬ ‫المدرسة‬ ‫كتاب‬ )23‫رقم‬ )3 ................................................................................. ................................................................................. .................................................................................
01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ً‫ف‬ ‫الطول‬ ‫إٌجاد‬ :‫التمهٌد‬ ‫بم‬ ‫ػا‬‫ى‬‫تكبير‬ ‫ػد‬‫ع‬‫ب‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫ح‬ ‫رسمت‬‫ػـ‬‫س‬‫ر‬ ‫ػاس‬‫ي‬‫ق‬83:4‫ػـ‬‫س‬‫الر‬ ‫ػي‬‫ف‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫الح‬ ‫ػكؿ‬‫ط‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ،63‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ .‫ات‬‫ر‬‫بالمميمت‬ ‫الحقيقي‬ ‫الطكؿ‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫ػاؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ث‬‫م‬4‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫مق‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫إذا‬ :4:8333333‫ػدينتيف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػيف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ب‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫الب‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ، 483.‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫المدينتيف‬ ‫بيف‬ ‫الطكؿ‬ ‫أكجد‬ .‫كيمكمتر‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬483×433333=48333333‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ = = ‫الرسـ‬ ‫في‬ ‫الطكؿ‬=6‫سـ‬ ‫تدرٌب‬1:‫ػا‬‫ط‬‫كطن‬ ‫ة‬‫ر‬‫القاى‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬;8‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػـ‬‫س‬‫ر‬ ‫ػاس‬‫ي‬‫مق‬ ‫ػاف‬‫ك‬‫ك‬ ،‫ػكمتر‬‫م‬‫كي‬6 :8333333..‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫أكجد‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 8333333 ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ 48333333 4×48333333 8333333
07 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫اوٌم‬‫ا‬‫التق‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػامة‬‫ػ‬‫س‬‫أ‬ ‫ػو‬‫ػ‬‫ي‬‫ألخ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬ ‫ػد‬‫ػ‬‫م‬‫أح‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫س‬4:73‫ػي‬‫ػ‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ػ‬‫ط‬‫ال‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ف‬ . ‫ىك‬ ‫ألسامة‬493‫ة؟‬‫ر‬‫الصك‬ ‫في‬ ‫طكلو‬ ‫ىك‬ ‫فما‬ .‫سـ‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... .................................................................... .................................................................... ‫الواجب‬ 4‫إذ‬ )‫الكبير‬ ‫التؿ‬‫ك‬ ‫اإلسماعيمية‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫ا‬78‫ػكمة‬‫س‬‫المر‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫ككاف‬ ،‫كيمكمتر‬ ‫عمييا‬4:6333333.‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫أكجد‬ . ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... 5)‫(ص‬ ‫المدرسة‬ ‫كتاب‬23‫رقم‬ )4 .................................................................... .................................................................... .................................................................... .................................................................... ....................................................................
03 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ‫مقٌاس‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ :‫المقابل‬ ‫الشكل‬ ‫من‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4............................ = ‫الرسـ‬ ‫مقياس‬ ) 5........................ = ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ) 6.......................... = ‫الحقيقي‬ ‫الطكؿ‬ ) ‫تمرٌن‬1:‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫أم‬8،‫سـ‬ ‫يطة‬‫ر‬‫لمخ‬ ‫الرسـ‬ ‫مقياس‬ ‫ككاف‬4:4333333. :‫أوجد‬4.‫ات‬‫ر‬‫بالكيمكمت‬ ‫البمديف‬ ‫بيف‬ ‫الحقيقي‬ ‫البعد‬ ) 5‫بينيما‬ ‫البعد‬ )‫رسميا‬ ‫مقياس‬ ‫ل‬‫أخر‬ ‫يطة‬‫ر‬‫خ‬ ‫عمى‬4:8333333 ‫الحل‬ 1)= ‫الرسـ‬ ‫مقياس‬ = ‫س‬(‫الحقيقي‬ ‫الطكؿ‬)= =8333333‫سـ‬ ‫الطكؿ‬= ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬8333333÷433333=83‫كيمكمتر‬ 2)= ‫الرسـ‬ ‫مقياس‬ = = )‫الرسـ‬ ‫في‬ ‫(الطكؿ‬ ‫س‬=43‫سـ‬ ‫تمرٌن‬2:‫ػبة‬‫س‬‫بن‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫ح‬ ‫ػر‬‫ي‬‫تكب‬ ‫عدسة‬ ‫استخدمت‬433:4‫ة‬‫ر‬‫ػ‬‫ة‬‫لمح‬ ‫ػي‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ط‬‫ال‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، 3.9‫بعد‬ ‫ة‬‫ر‬‫الحة‬ ‫طكؿ‬ ‫ىك‬ ‫فما‬ .‫ممميمتر‬‫التكبير؟‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫انطىل‬ ‫انرسى‬ ‫في‬ ‫يقياش‬ ‫انرسى‬ ‫انطىل‬ ‫انحقيقي‬ ÷÷ × ‫ا‬ ‫في‬ ‫الطكؿ‬‫لرسـ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 4333333 8 ‫س‬ 8×4333333 4 ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 833333 4×8333333 833333 ‫س‬ 8333333
00 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬‫ػيف‬‫ػ‬‫ب‬‫ػدينتيف‬‫ػ‬‫م‬:8‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػديف‬‫ػ‬‫م‬‫الب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫ككا‬ ،‫ػكمتر‬‫ػ‬‫م‬‫كي‬48‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ ‫يعني؟‬ ‫كماذا‬ ،‫الرسـ‬ ‫مقياس‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... :‫الواجب‬‫الرسم‬ ‫مقٌاس‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ 4‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ،‫ػكيس‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ );.9‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ،‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ 4:5.‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ ،‫كيمكمتر‬ 5‫ػك‬‫ػ‬‫ب‬‫أم‬ ‫ػكـ‬‫ػ‬‫ك‬‫ك‬ ‫اف‬‫ك‬‫ػ‬‫ػ‬‫س‬‫أ‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ )73،‫ػكمتر‬‫ػ‬‫م‬‫كي‬‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫م‬‫بيني‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬‫ك‬43‫ػاس‬‫ػ‬‫ي‬‫مق‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ .‫الرسـ‬ 6‫الحقيقي‬ )‫(أحمد‬ ‫طكؿ‬ )4.8‫بيا‬ ‫الرسـ‬ ‫مقياس‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫طكلو‬ ‫أكجد‬ .‫متر‬4:58. 7‫رسـ‬ ‫بمقياس‬ ‫يطة‬‫ر‬‫خ‬ ‫رسمت‬ )4:833333‫ػدينتيف‬‫م‬ ‫بيف‬ ‫الحقيقية‬ ‫المسافة‬ ‫كانت‬ ‫فإذا‬ ،78،‫ػكمتر‬‫م‬‫كي‬ .‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫عمى‬ ‫المدينتيف‬ ‫بيف‬ ‫البعد‬ ‫أكجد‬ 8‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػاحة‬‫ػ‬‫س‬‫الم‬ ‫ػمحة‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫تر‬ )4:53333‫ائط‬‫ر‬‫ػ‬‫ػ‬‫خ‬‫ال‬ ‫ػدل‬‫ػ‬‫ح‬‫إ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫بالمن‬ ‫ع‬‫ػار‬‫ػ‬‫ة‬ ‫ػر‬‫ػ‬‫ي‬‫ظ‬ ‫ػإذا‬‫ػ‬‫ف‬ ، ‫بطكؿ‬:.‫باألمتار‬ ‫الحقيقي‬ ‫ع‬‫الةار‬ ‫ىذا‬ ‫طكؿ‬ ‫فما‬ .‫سـ‬ 9‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػكمة‬‫ػ‬‫س‬‫مر‬ ‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ )4:583333‫ػو‬‫ػ‬‫ي‬‫عم‬ ‫ػديف‬‫ػ‬‫م‬‫ب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ف‬ ،;.5‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ ‫البمدي‬ ‫بيف‬ ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقية‬ ‫المسافة‬.‫ف‬ :‫فكجدت‬ ،‫الكبير‬ ‫التؿ‬‫ك‬ ‫اإلسماعيمية‬ ‫بيف‬ ‫المسافة‬ )78‫ػكؿ‬‫ط‬‫ب‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػي‬‫ف‬ ‫ػافة‬‫س‬‫الم‬ ‫ىذه‬ ‫رسمت‬ ،‫كيمكمتر‬ 4.8.‫يطة‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ .‫سـ‬ ;‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػة‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫ػ‬‫س‬‫ر‬ )6:;33333‫ػك‬‫ػ‬‫ػ‬‫ى‬ ‫ػدينتيف‬‫ػ‬‫ػ‬‫م‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ،45‫ػد‬‫ػ‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫ػ‬‫س‬ .‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫البعد‬ <‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػة‬‫ػ‬‫ػ‬‫ة‬‫ا‬‫ر‬‫ف‬ ‫ػكرت‬‫ػ‬‫ػ‬‫ص‬ )‫ػي‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬3.8‫ػبة‬‫ػ‬‫ػ‬‫س‬‫بن‬ ‫ػر‬‫ػ‬‫ػ‬‫ي‬‫تكب‬ ‫ػة‬‫ػ‬‫ػ‬‫ل‬‫بت‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬;:4‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػة‬‫ػ‬‫ػ‬‫ة‬‫ا‬‫ر‬‫الف‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكف‬‫ػ‬‫ػ‬‫ك‬‫ي‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ف‬ . .‫ة‬‫ر‬‫الصك‬
02 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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02 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫تمارٌن‬‫عام‬‫ة‬‫الرسم‬ ‫مقٌاس‬ ‫على‬ 4)‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػامة‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫أ‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫ألخ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ػ‬‫ص‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫أح‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬4:73‫ػك‬‫ػ‬‫ػ‬‫ػ‬‫ى‬ ‫ػامة‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫أل‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ال‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ، 493‫ة؟‬‫ر‬‫الصك‬ ‫في‬ ‫طكلو‬ ‫فما‬ ،‫سـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 5‫ىك‬ ‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫مدينتيف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬ )6‫ػي‬‫ى‬ ‫ػة‬‫ق‬‫الحقي‬ ‫ػي‬‫ف‬ ‫ػا‬‫م‬‫بيني‬ ‫ػافة‬‫س‬‫الم‬‫ك‬ ،‫ػـ‬‫س‬<،‫ػكمتر‬‫م‬‫كي‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػس‬‫ف‬‫ن‬ ‫ػى‬‫م‬‫ع‬ ‫ػدينتيف‬‫م‬ ‫ػيف‬‫ب‬ ‫ػد‬‫ع‬‫الب‬ ‫ػاف‬‫ك‬ ‫ذا‬‫ا‬‫ك‬ ،‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػذه‬‫ى‬ ‫ػو‬‫ب‬ ‫ػمت‬‫س‬‫ر‬ ‫ػذم‬‫ل‬‫ا‬ ‫ػـ‬‫س‬‫الر‬ ‫ػاس‬‫ي‬‫مق‬ ‫أكجد‬ ‫ىك‬8.‫المدينتيف‬ ‫بيف‬ ‫الحقيقي‬ ‫البعد‬ ‫احسب‬ .‫سـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 6)‫ػاحتيا‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػتطيمة‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫أرض‬ ‫ػة‬‫ػ‬‫ػ‬‫ع‬‫قط‬4533‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػمت‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػع‬‫ػ‬‫ػ‬‫ب‬‫ر‬‫م‬ ‫ػر‬‫ػ‬‫ػ‬‫ت‬‫م‬4:533‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ف‬ ، ‫الرسـ‬ ‫في‬ ‫طكليا‬53.‫سـ‬ :‫أكجد‬ .‫أرض‬ ‫لقطعة‬ ‫الحقيقي‬ ‫الطكؿ‬ )‫أ‬.‫أرض‬ ‫لقطعة‬ ‫الحقيقي‬ ‫العرض‬ )‫ب‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :18،19‫رقم‬ )1،3،5،7 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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09 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ً‫التناسب‬ ‫التقسٌم‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :ً‫التناسب‬ ‫التقسٌم‬.‫معينة‬ ‫بنسبة‬ ‫ةخصيف‬ ‫بيف‬ ‫كمعمكمة‬ ‫معينة‬ ‫بنسبة‬ ‫معيف‬ ‫ةيء‬ ‫تقسيـ‬ ‫ىك‬ ‫مثال‬1:‫ه‬‫ر‬‫قد‬ ‫الماؿ‬ ‫مف‬ ‫مبمغ‬ ‫قسـ‬83‫بنسبة‬ ‫ةخصيف‬ ‫بيف‬ ‫جنيو‬.‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫تيب‬‫ر‬‫الت‬ ‫عمى‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫مثال‬2:‫األكؿ‬ ‫ػدفع‬‫ف‬ ،‫ة‬‫ر‬‫ػا‬‫ج‬‫ت‬ ‫ػي‬‫ف‬ ‫ػخاص‬‫ة‬‫أ‬ ‫ػة‬‫ث‬‫ثال‬ ‫اةترؾ‬68333‫ػاني‬‫ث‬‫ال‬ ‫ػع‬‫ف‬‫كد‬ ،‫ػو‬‫ي‬‫جن‬58333‫ج‬‫ػع‬‫ف‬‫كد‬ ،‫ػو‬‫ي‬‫ن‬ ‫ػث‬‫ػ‬‫ل‬‫الثا‬53333‫ػاح‬‫ػ‬‫ب‬‫ر‬‫األ‬ ‫ػت‬‫ػ‬‫غ‬‫بم‬ ‫ػاـ‬‫ػ‬‫ع‬‫ال‬ ‫ػة‬‫ػ‬‫ي‬‫نيا‬ ‫ػي‬‫ػ‬‫ف‬‫ك‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬49333‫ػنيـ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ك‬ ‫ػيب‬‫ػ‬‫ص‬‫ن‬ ‫ػب‬‫ػ‬‫س‬‫اح‬ .‫ػو‬‫ػ‬‫ي‬‫جن‬ .‫باح‬‫ر‬‫األ‬ ‫مف‬ ‫الحل‬ ‫ع‬‫المجمك‬ : ‫الثالث‬ ‫دفعو‬ ‫ما‬ : ‫الثاني‬ ‫دفعو‬ ‫ما‬ : ‫األكؿ‬ ‫دفعو‬ ‫ما‬ 68333:58333:53333: 68:58:53: ::8:7:49 :49333 = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬49333÷49=4333‫جنيو‬ = ‫األكؿ‬ ‫نصيب‬4333×:=:333‫جنيو‬ = ‫الثاني‬ ‫نصيب‬4333×8=8333‫جنيو‬ = ‫الثالث‬ ‫نصيب‬4333×7=7333‫ج‬‫نيو‬ 5 6
24 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫ػاؿ‬‫ػ‬‫ػ‬‫ث‬‫م‬6‫ػغ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ق‬ :9933،‫ػمير‬‫ػ‬‫ػ‬‫س‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػامي‬‫ػ‬‫ػ‬‫س‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ف‬ ،‫ػامم‬‫ػ‬‫ػ‬‫س‬‫ك‬ ‫ػامي‬‫ػ‬‫ػ‬‫س‬‫ك‬ ‫ػمير‬‫ػ‬‫ػ‬‫س‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػو‬‫ػ‬‫ػ‬‫ي‬‫جن‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫سامي‬ ‫نصيب‬ ‫سامم‬ ‫كنصيب‬ ‫الحل‬ ‫ع‬‫المجمك‬ : ‫سامم‬ ‫نصيب‬ : ‫سامي‬ ‫نصيب‬ : ‫سمير‬ ‫نصيب‬ 5:4:-: -:6:5:....... ....... : ....... : ....... : ....... = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬................................................................................................................................ = ‫سمير‬ ‫نصيب‬............................................................................................................................................. = ‫سامي‬ ‫نصيب‬............................................................................................................................................ = ‫سامم‬ ‫نصيب‬............................................................................................................................................. :‫التأكٌد‬= ‫ع‬‫المجمك‬.............................................................................................................................. ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬25‫رقم‬ )1،2-‫(ص‬23‫رقم‬ )5–‫(ص‬26‫رقم‬ )3 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 5 6 4 5
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫التناسب‬ ‫التقسٌم‬ ‫تابع‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ‫ما‬ ‫مدرسة‬ ‫تالميذ‬ ‫عدد‬ ‫كاف‬ ‫إذا‬873‫ككاف‬ ،‫كتمميذة‬ ‫تمميذ‬.‫البنات‬ ‫عدد‬ ‫أكجد‬ . ‫الحل‬ = ‫البنات‬ ‫عدد‬×873=783‫بنت‬ ‫مثال‬1:‫ه‬‫ر‬‫قد‬ ‫مبمغ‬ ‫اآلباء‬ ‫أحد‬ ‫ع‬‫كز‬558‫ككانت‬ ،‫المبمغ‬ ‫ثمث‬ ‫األكؿ‬ ‫نصيب‬ ‫فكاف‬ ،‫الثالثة‬ ‫أبنائو‬ ‫بيف‬ ‫جنيو‬‫النسبة‬ ‫ىي‬ ‫الثالث‬ ‫نصيب‬ ‫إلى‬ ‫الثاني‬ ‫نصيب‬ ‫بيف‬5:6.‫الثالثة‬ ‫األبناء‬ ‫مف‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ . ‫الحل‬ = ‫األكؿ‬ ‫نصيب‬×558=:8‫جنيو‬ = ‫الباقي‬558–:8=483‫جنيو‬ ‫ع‬‫المجمك‬ : ‫الثالث‬ ‫نصيب‬ : ‫الثاني‬ ‫نصيب‬ 5:6:8 ........ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬....................................................... .................................................................... = ‫الثاني‬ ‫نصيب‬ .................................................................... = ‫الثالث‬ ‫نصيب‬ :‫تدرٌب‬‫م‬ ‫أرض‬ ‫ػة‬‫ع‬‫قط‬ ‫ػرؾ‬‫ت‬‫ك‬ ‫ػؿ‬‫ج‬‫ر‬ ‫ػكفي‬‫ت‬‫ػاحتيا‬‫س‬<9‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ .‫ػو‬‫ي‬‫كبنت‬ ‫ػو‬‫ي‬‫ككلد‬ ‫ػو‬‫ت‬‫زكج‬ ‫ػى‬‫م‬‫ع‬ ‫ػت‬‫ع‬‫كز‬ ،‫ػداف‬‫ف‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫البنت‬ ‫نصيب‬ ‫ضعؼ‬ ‫الكلد‬ ‫كنصيب‬ ‫التركة‬ ‫الزكجة‬ ‫نصيب‬ ‫الحل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 8 9 8 9 4 6 4 ;
27 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫بن‬ ‫ػيف‬‫ػ‬‫ػ‬‫ص‬‫ةخ‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػاؿ‬‫ػ‬‫ػ‬‫م‬‫ال‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػغ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ق‬6:8‫األكؿ‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػى‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػد‬‫ػ‬‫ػ‬‫ي‬‫ز‬‫ي‬ ‫ػاني‬‫ػ‬‫ػ‬‫ث‬‫ال‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ، ‫بمقدار‬63.‫األكؿ‬ ‫نصيب‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬25‫رقم‬ )4،5–‫(ص‬26‫رقم‬ )6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
23 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫المائة‬ ‫حساب‬ :‫والمصطلحات‬ ‫المفاهٌم‬ ‫المئوٌة‬ ‫النسبة‬: ‫الثاني‬ ‫حدىا‬ ‫نسبة‬ ‫ىي‬433 = ‫كمو‬ ‫لممقدار‬ ‫المئكية‬ ‫النسبة‬ *433= %4 ‫عادي‬ ‫كسر‬ ‫إلى‬ ‫المئوٌة‬ ‫النسبة‬ ‫تحوٌل‬ :ً‫ال‬‫أو‬: ‫مثال‬1:‫كسر‬ ‫صورة‬ ‫على‬ ‫اآلتٌة‬ ‫النسب‬ ‫ضع‬‫عادي‬:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ ‫ثم‬ 4):8%== = 5)45.8= %== == ‫تدرٌب‬1:‫كسر‬ ‫إلى‬ ‫اآلتٌة‬ ‫المئوٌة‬ ‫النسب‬ ‫حول‬‫عادي‬: 4)78..……………………………………………………… = % 5)6:.8……………………………………………………… = % ‫مثال‬2:‫عشري‬ ‫كسر‬ ‫صورة‬ ً‫ف‬ ‫اآلتٌة‬ ‫المئوٌة‬ ‫النسبة‬ ‫ضع‬ : 4):8= %=3.:8 5)5.8= %=3.458 ‫تدرٌب‬2:‫عشري‬ ‫كسر‬ ‫إلى‬ ‫حول‬ : 4)68............................................................... = % 5)95.8............................................................ = % ‫مثال‬3:‫مئوٌة‬ ‫نسبة‬ ‫إلى‬ ‫حول‬ : 4)=×433= %53% 5)3.958=3.958×433= %95.8% :‫مئوٌة‬ ‫نسبة‬ ‫صورة‬ ‫على‬ ‫ضع‬ :‫تدرٌب‬ 4)3.78................................................................ = 5................................................................ = ) 22÷2 144÷2 12÷2 74÷2 3 0 17.2×14 144×14 172÷2 1444÷2 72÷2 744÷2 2 04 1 1 22 144 17.2 144 1 2 1 2 3 0
20 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫الواجب‬‫ت‬‫المائة‬ ‫حساب‬ ‫على‬ ‫مارٌن‬ 1ً‫ال‬‫ك‬ ‫حول‬ ):‫مئوٌة‬ ‫نسبة‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ 4.............................................. = ) 5.............................................. = ) 6.............................................. = ) 7)89.75. =........................................... 8)3.68.............................................. = 9)3.33;............................................ = :)5.38.............................................. = 2‫حول‬ ):‫عادٌة‬ ‫كسور‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ ً‫ال‬‫ك‬ 4)5.8.............................................. = % 5)<3............................................... = % 6)45.......................................... = % 3:‫عشرٌة‬ ‫كسور‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ ً‫ال‬‫ك‬ ‫حول‬ ) 4)49.................................. = %............. 5)58............................................... = % 6)45.8............................................ = % 12 24 3 0 2 1 2 1
22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫تابع‬ :‫التمهٌد‬ = ‫كمو‬ ‫لممقدار‬ ‫المئكية‬ ‫النسبة‬433= %4 ‫تمرٌن‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : )‫أ‬4–68............. = %)‫ب‬:8%................. = )‫ج‬43÷43%...... = ‫مثال‬1:‫ػر‬‫ي‬‫ر‬‫الح‬ ‫ػبة‬‫س‬‫ن‬ ‫ككانت‬ ،‫ير‬‫ر‬‫كح‬ ‫ككتاف‬ ‫قطف‬ ‫المالبس‬ ‫أحد‬ ‫مككنات‬ ‫كانت‬ ‫إذا‬48‫ػف‬‫ط‬‫الق‬ ‫ػبة‬‫س‬‫كن‬ ،% 88.‫لمكتاف‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .% ‫الحل‬ = ‫لمكتاف‬ ‫المئكية‬ ‫النسبة‬433%-(48+ %88)% =433%-:3= %63% :‫تاادرٌب‬‫ػد‬‫ػ‬‫ج‬‫ما‬ ‫ل‬‫ػتر‬‫ػ‬‫ة‬‫ا‬‫ػاؼ‬‫ػ‬‫ي‬‫أل‬‫ك‬ ‫ػف‬‫ػ‬‫ط‬‫ق‬ ‫ػف‬‫ػ‬‫م‬ ‫ع‬‫ػنك‬‫ػ‬‫ص‬‫[م‬ ‫ة‬‫ر‬‫ػغي‬‫ػ‬‫ص‬ ‫ػة‬‫ػ‬‫ق‬‫بطا‬ ‫ػالؿ‬‫ػ‬‫خ‬ ‫ػف‬‫ػ‬‫م‬ ‫ػو‬‫ػ‬‫ي‬‫عم‬ ‫ػا‬‫ػ‬‫ن‬‫مكتكب‬ )‫ػيرت‬‫ػ‬‫ة‬ ‫ػي‬‫ػ‬‫ت‬( ‫األلياؼ‬ ‫نسبة‬ ‫ككانت‬ )‫صناعية‬73‫ػؿ‬‫ك‬‫ل‬ ‫ػافل‬‫ك‬‫الم‬ ‫ػر‬‫س‬‫الك‬ ‫ػد‬‫ج‬‫أك‬ ‫ػـ‬‫ث‬ ،‫القطف‬ ‫نسبة‬ ‫احسب‬ .‫فقط‬ % .‫منيا‬ ‫نسبة‬ ‫الحل‬ ...................................................................... ...................................................................... ‫مثال‬2:‫بيا‬ ‫مدرسة‬533‫الناجحيف‬ ‫عدد‬ ‫ككاف‬ ،‫تمميذ‬4:8.‫لمناجحيف‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .‫تمميذ‬ ‫الحل‬ = ‫الناجحيف‬ ‫عدد‬4:8‫تمميذ‬ = ‫لمناجحيف‬ ‫المئكية‬ ‫النسبة‬×433% =×433= %;:.8% ‫مثال‬3:‫ا‬‫بو‬ ‫تقاؿ‬‫ر‬‫ب‬ ‫قفص‬ ‫سمير‬ ‫ل‬‫ةتر‬483‫فييا‬ ‫كجد‬ ،‫تقالة‬‫ر‬‫ب‬57.‫فاسدة‬ ‫تقالة‬‫ر‬‫ب‬‫ػة‬‫ي‬‫المئك‬ ‫ػبة‬‫س‬‫الن‬ ‫احسب‬ .‫السميـ‬ ‫تقاؿ‬‫ر‬‫لمب‬ ‫الحل‬ ........................................................ = ‫السميـ‬ ‫تقاؿ‬‫ر‬‫الب‬ ‫عدد‬ .................................... = ‫السميـ‬ ‫تقاؿ‬‫ر‬‫لمب‬ ‫المئكية‬ ‫النسبة‬.......... ‫أن‬ ‫تذكر‬ ٍ‫انُاجحي‬ ‫عذد‬ ‫انكهي‬ ‫انعذد‬ 122 744
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫اادرٌب‬‫ا‬‫ت‬‫ػا‬‫ػ‬‫ػ‬‫ي‬‫ب‬ ‫ػة‬‫ػ‬‫ػ‬‫س‬‫مدر‬733‫ػات‬‫ػ‬‫ػ‬‫ن‬‫الب‬ ‫ػدد‬‫ػ‬‫ػ‬‫ع‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ،‫ػذة‬‫ػ‬‫ػ‬‫ي‬‫كتمم‬ ‫ػذ‬‫ػ‬‫ػ‬‫ي‬‫تمم‬483‫ػدد‬‫ػ‬‫ػ‬‫ع‬‫ل‬ ‫ػة‬‫ػ‬‫ػ‬‫ي‬‫المئك‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫الن‬ ‫ػد‬‫ػ‬‫ػ‬‫ج‬‫أك‬ .‫ػذة‬‫ػ‬‫ػ‬‫ي‬‫تمم‬ .‫البنيف‬ ‫الحل‬ ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬21‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................
22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تمارٌن‬ :‫التمهٌد‬:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4% ..... = × ) 5% .... = ) ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ : 4)73‫مف‬ %453‫جنيو‬ ‫الحل‬ 453×=7;‫جنيو‬ 5‫كاف‬ ‫إذا‬ )63‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %483‫المبمغ؟‬ ‫ىك‬ ‫فما‬ .‫جنيو‬ = ‫المبمغ‬483= ×833‫جنيو‬ ‫تدرٌب‬1‫أوجد‬ ::ً‫ٌأت‬ ‫ما‬ 4)48‫مف‬ %493.‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ...................................................................... ...................................................................... 5‫كاف‬ ‫إذا‬ )58‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %733‫المبمغ؟‬ ‫ىك‬ ‫فما‬ .‫جنيو‬ ‫ال‬‫حل‬ ...................................................................... ...................................................................... :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫تدرٌب‬ 4)73+ %58= .... + %4 5)48‫مف‬ %493.................... = 6)3.:7%..... = 7)63%-3.63........ = 7 2 2 7 0 2 04 144 144 34
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬ 1):ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4%.... = ) 5= ‫كانت‬ ‫إذا‬ )<............... = ‫س‬ ‫فإف‬ % 6)4%...... = 7)95.8= % 8= )43..... = ‫س‬ ‫فإف‬ ، % 9)53%..... = + % :)45‫مف‬ %5833‫ا‬‫ن‬‫جنيي‬ ...... = ‫جنيو‬ ;)73+ %58+ %= ....4 <)48‫مف‬ %493....... = 43........................................... ‫ىي‬ ‫المئكية‬ ‫النسبة‬ ) 44)3.:7=%..... = 45)4%..... = 2‫(ص‬ ‫المدرسة‬ ‫كتاب‬ )21‫رقم‬ )4،5 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 13 14 ‫ش‬ 2 3 2 ..... 1 ‫ش‬ 11 7 2 20 .....
29 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السادس‬ ‫الدرس‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :ً‫ال‬‫أو‬‫الخصم‬ ‫أو‬ ‫الفائدة‬ ‫حساب‬: ‫ا‬:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫لتمهٌد‬ 4)8%-3.38......... = 5‫كانت‬ ‫إذا‬ )63‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %483.......... = ‫المبمغ‬ ‫فإف‬ .‫جنيو‬ 6)83+ %58= .... + %4 ‫ااااال‬‫ا‬‫مث‬1:‫ػغ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػى‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫م‬ ‫ػت‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫أكد‬6333‫ػدة‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ئ‬‫الفا‬ ‫ػت‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ،‫ػكؾ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫الب‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ح‬‫أ‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫جن‬43.8%.‫ا‬‫ن‬‫ػنكي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ .‫الفائدة‬ ‫بعد‬ ‫المبمغ‬ ‫فأكجد‬ ‫ال‬‫حل‬ ‫الفائدة‬ ‫بعد‬ ‫المبمغ‬ : ‫الفائدة‬ : ‫الفائدة‬ ‫قبؿ‬ ‫المبمغ‬ 433:43.8:443.8 6333‫س‬ : : = ‫الفائدة‬ ‫بعد‬ ‫المبمغ‬=6648‫جنيو‬ ‫مثال‬2:‫ثمنو‬ ‫خالط‬7;3‫خصـ‬ ‫عميو‬ ‫جنيو‬43.‫الخصـ‬ ‫بعد‬ ‫الثمف‬ ‫أكجد‬ .% ‫الحل‬ ‫قب‬ ‫الثمف‬‫الخصـ‬ ‫بعد‬ ‫الثمف‬ : ‫الخصـ‬ ‫مقدار‬ : ‫الخصـ‬ ‫ؿ‬ 433:43:<3 7;3‫س‬ : : = = ‫الخصـ‬ ‫بعد‬ ‫الثمف‬765‫جنيو‬ :‫تاادرٌب‬‫ة‬‫ر‬‫ػيا‬‫ػ‬‫س‬ ‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػاف‬‫ػ‬‫ك‬ ‫إذا‬;333‫ػيض‬‫ػ‬‫ف‬‫تخ‬ ‫ػا‬‫ػ‬‫ي‬‫كعمي‬ ‫ػو‬‫ػ‬‫ي‬‫جن‬53‫ػدار‬‫ػ‬‫ق‬‫كم‬ ‫ػيض‬‫ػ‬‫ف‬‫التخ‬ ‫ػد‬‫ػ‬‫ع‬‫ب‬ ‫ػثمف‬‫ػ‬‫ل‬‫ا‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .% .‫التخفيض‬ ‫الحل‬ ...................................................................... ...................................................................... 3444×114.2 144 94×014 144
14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫المدرسة‬ ‫تالميذ‬ ‫عدد‬ ‫كاف‬ ‫إذا‬633‫الناجحيف‬ ‫نسبة‬ ‫ككانت‬ ‫ا‬‫ن‬‫ذ‬‫تممي‬<:.‫اسبيف‬‫ر‬‫ال‬ ‫عدد‬ ‫أكجد‬ .% ‫الحل‬ ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22‫رقم‬ )1،3–(‫ص‬26‫رقم‬ )4 ................................................................................................................................................................................................................................................................................................................................ 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ :‫تابع‬‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :‫الشراء‬ ‫وثمن‬ ‫البٌع‬ ‫ثمن‬ ‫حساب‬ :‫ا‬ًٌ‫ثان‬ ‫مثال‬1:‫بمبمغ‬ ‫بضاعة‬ ‫تاجر‬ ‫ل‬‫اةتر‬4973‫بمكسب‬ ‫كباعيا‬ ،‫جنيو‬48.‫البيع‬ ‫ثمف‬ ‫أكجد‬ .% ‫الحل‬ ‫البيع‬ ‫ثمف‬ : ‫المكسب‬ : ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ 433:48:448 4973:--‫س‬ : = = ‫البيع‬ ‫ثمف‬4;;9‫جنيو‬ :‫ادرٌب‬‫ا‬‫ت‬‫ل‬‫ػتر‬‫ػ‬‫ة‬‫ا‬‫ػغ‬‫ػ‬‫م‬‫بمب‬ ‫ػة‬‫ػ‬‫ج‬‫ثال‬ ‫ػاجر‬‫ػ‬‫ت‬<93‫ػا‬‫ػ‬‫ي‬‫نقم‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػرؼ‬‫ػ‬‫ص‬‫ك‬ ‫ػو‬‫ػ‬‫ي‬‫جن‬53‫ة‬‫ر‬‫ػا‬‫ػ‬‫س‬‫بخ‬ ‫ػا‬‫ػ‬‫ي‬‫باع‬ ‫ػـ‬‫ػ‬‫ث‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬58.% .‫ة‬‫ر‬‫الخسا‬ ‫كمقدار‬ ‫البيع‬ ‫ثمف‬ ‫أكجد‬ ‫الحل‬ ..................................... = ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬‫البيع‬ ‫ثمف‬ : ‫ة‬‫ر‬‫الخسا‬ ‫مقدار‬ : 433:58::8 ---‫ص‬ : ‫س‬ : ................................................ = ‫ة‬‫ر‬‫الخسا‬ ‫مقدار‬ .................................................... = ‫البيع‬ ‫ثمف‬. :‫التقوٌم‬ ‫ػغ‬‫م‬‫بمب‬ ‫ػة‬‫ي‬‫بائ‬‫ر‬‫كي‬ ‫ػة‬‫ج‬‫ثال‬ ‫ػات‬‫ض‬‫التخفي‬ ‫ػـ‬‫س‬‫مك‬ ‫ػي‬‫ف‬ ‫يماف‬‫ر‬‫نا‬ ‫اةترت‬54;8‫ا‬‫ن‬‫ػم‬‫ص‬‫خ‬ ‫ػائع‬‫ب‬‫ال‬ ‫ػا‬‫ي‬‫منح‬ ‫أف‬ ‫ػد‬‫ع‬‫ب‬ ‫ػا‬‫ن‬‫جنيي‬ 8.‫التخفيض‬ ‫قبؿ‬ ‫الثالجة‬ ‫ثمف‬ ‫أكجد‬ .% ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... 1104×112 144
17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22)‫رقم‬2،5–‫(ص‬26‫رقم‬ )7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :‫تابع‬ :‫ا‬ً‫ث‬‫ثال‬‫الخسارة‬ ‫أو‬ ‫للمكسب‬ ‫المئوٌة‬ ‫النسبة‬ ‫إٌجاد‬: :‫والمصطلحات‬ ‫المفاهٌم‬ ‫البيع‬ ‫ثمف‬ = ‫المكسب‬–‫اء‬‫ر‬‫الة‬ ‫ثمف‬ ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ = ‫ة‬‫ر‬‫الخسا‬–‫البيع‬ ‫ثمف‬ ‫مثال‬1:‫بمبمغ‬ ‫بضاعة‬ ‫تاجر‬ ‫ل‬‫اةتر‬4533‫بمبمغ‬ ‫كباعيا‬ ‫جنيو‬7;;.‫جنيو‬ ‫النس‬ ‫أكجد‬.‫لممكسب‬ ‫المئكية‬ ‫بة‬ ‫الحل‬ ‫البيع‬ ‫ثمف‬ = ‫المكسب‬–‫اء‬‫ر‬‫الة‬ ‫ثمف‬ =47;;–4533=5;;‫جنيو‬ = ‫لممكسب‬ ‫المئكية‬ ‫النسبة‬×433% =×433= %57% ‫مثال‬2:‫تاجر‬ ‫ل‬‫اةتر‬‫بمبمغ‬ ‫ة‬‫ر‬‫سيا‬59583‫ػال‬‫ص‬‫إ‬ ‫ػى‬‫م‬‫ع‬ ‫كصرؼ‬ ،‫جنيو‬‫حيا‬6:83‫ػغ‬‫م‬‫بمب‬ ‫ػا‬‫ي‬‫باع‬ ‫ػـ‬‫ث‬ ،‫ػو‬‫ي‬‫جن‬ 58833.‫ة‬‫ر‬‫لمخسا‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ = ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬59583+6:83=63333‫جنيو‬ = ‫ة‬‫ر‬‫الخسا‬63333–58833=7833‫جنيو‬ = ‫ة‬‫ر‬‫لمخسا‬ ‫المئكية‬ ‫النسبة‬×433= %48% :‫تدرٌب‬‫بمبمغ‬ ‫ة‬‫ر‬‫سيا‬ ‫تاجر‬ ‫ل‬‫اةتر‬9;333‫ػرؼ‬‫ص‬‫ك‬ ،‫جنيو‬‫ػغ‬‫م‬‫مب‬ ‫ػدىا‬‫ي‬‫كتجد‬ ‫ػالحيا‬‫ص‬‫إ‬ ‫ػى‬‫م‬‫ع‬7333،‫ػو‬‫ي‬‫جن‬ ‫بمبمغ‬ ‫باعيا‬ ‫ثـ‬;5;33.‫جنيو‬ ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... ‫أن‬ ‫تذكر‬ ‫المكس‬ ‫من‬ ‫كل‬ ‫ينسب‬‫المصاريف‬‫و‬ ‫اء‬‫ر‬‫الش‬ ‫ثمن‬ ‫إلى‬ ‫ا‬ً‫دائم‬ ‫ة‬‫الخسار‬ ‫أو‬ ‫ب‬ ‫انًكسة‬ ‫وانًصاريف‬ ‫انشراء‬ ًٍ‫ث‬ 711 1744 0244 34444
10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػغ‬‫م‬‫بمب‬ ‫أرض‬ ‫قطعة‬ ‫جؿ‬‫ر‬ ‫ل‬‫اةتر‬433333‫ػغ‬‫م‬‫بمب‬ ‫ات‬‫ك‬‫ػن‬‫س‬ ‫ػالث‬‫ث‬ ‫ػد‬‫ع‬‫ب‬ ‫ػا‬‫ي‬‫كباع‬ ،‫ػو‬‫ي‬‫جن‬463333‫ػد‬‫ج‬‫أك‬ .‫ػو‬‫ي‬‫جن‬ .‫بحو‬‫ر‬‫ل‬ ‫المئكية‬ ‫النسبة‬ ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22‫رقم‬ )4–‫(ص‬23‫رقم‬ )6 ................................................................................................................................................................................................................................................................................................................................ 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12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫ال‬‫والقٌاس‬ ‫الهندسة‬ :‫الثالثة‬ ‫وحدة‬ ‫األول‬ ‫الدرس‬ ‫الهندسٌة‬ ‫األشكال‬ ‫بٌن‬ ‫العالقات‬ ٌ‫المستق‬ ‫بٌن‬ ‫العالقة‬ :‫التمهٌد‬‫م‬:‫ات‬ 1‫متقاطعان‬ ‫مستقٌمان‬ ): ‫ايا‬‫ك‬‫ز‬ ‫بع‬‫ر‬‫أ‬ ‫تقاطعيما‬ ‫مف‬ ‫ينتج‬ ‫مستقيماف‬ ‫ىما‬. 2‫متعامدان‬ ‫مستقٌمان‬ ): ‫تقاطعيما‬ ‫مف‬ ‫ينتج‬ ‫مستقيماف‬ ‫ىما‬.‫قائمة‬ ‫ايا‬‫ك‬‫ز‬ ‫بع‬‫ر‬‫أ‬ 3):‫متوازٌان‬ ‫مستقٌمان‬ .‫ا‬‫ن‬‫أبد‬ ‫يتقاطعاف‬ ‫ال‬ ‫مستقيماف‬ ‫ىما‬ ‫هـ‬ ‫أ‬ ‫د‬ ‫حـ‬ ‫ب‬ ‫ع‬ ‫ش‬‫ص‬ ‫ل‬ ‫و‬ ‫ل‬ ٌ‫و‬ ‫و‬
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫األضـــالع‬ ‫متـــوازي‬ 4.‫الطكؿ‬ ‫في‬ ‫كمتساكييف‬ ‫ييف‬‫ز‬‫ا‬‫ك‬‫مت‬ ‫متقابميف‬ ‫ضمعيف‬ ‫كؿ‬ ‫فيو‬ ‫باعي‬‫ر‬ ‫ةكؿ‬ ) 5.‫القياس‬ ‫في‬ ‫متساكيتيف‬ ‫متقابمتيف‬ ‫اكيتيف‬‫ز‬ ‫كؿ‬ ) 6‫مجمكعيما‬ ‫متتاليتيف‬ ‫اكيتيف‬‫ز‬ ‫كؿ‬ )4;3‫ق‬ . 7‫اآلخ‬ ‫منيما‬ ‫كؿ‬ ‫ينصؼ‬ ‫اف‬‫ر‬‫القط‬ ).‫ر‬ 8‫متساكي‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ).‫الطكؿ‬ ‫في‬ ‫اف‬ 9.‫متعامداف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) ‫المستطٌل‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬‫إحدل‬.‫قائمة‬ ‫اياه‬‫ك‬‫ز‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) ‫المعٌن‬ .‫الطكؿ‬ ‫في‬ ‫متساكييف‬ ‫ييف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫كؿ‬ ‫فيو‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ) ‫الم‬‫ـ‬‫رب‬‫ــ‬‫ع‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬‫إحدل‬.‫متساكياف‬ ‫اف‬‫ر‬‫متجاك‬ ‫ضمعاف‬ ‫كؿ‬ ‫كفيو‬ ‫قائمة‬ ‫اياه‬‫ك‬‫ز‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ) ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫ش‬ ‫ص‬‫ل‬ ‫ع‬ ‫و‬
12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫اله‬ ‫األشكال‬ ‫بٌن‬ ‫العالقة‬‫ندسٌة‬ :‫أكمل‬ * 4.................. ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫الطكؿ‬ ‫في‬ ‫متساكية‬ ‫بعة‬‫ر‬‫األ‬ ‫األضالع‬ ) 5.................. ، ................. ‫مف‬ ‫كؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 6............ ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ).... 7............... ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫ائـ‬‫ك‬‫ق‬ ‫بع‬‫ر‬‫األ‬ ‫ايا‬‫ك‬‫الز‬ ) 8، ................. ، ................. ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ك‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫الق‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػاكيتاف‬‫ػ‬‫ػ‬‫س‬‫مت‬ ‫ػاف‬‫ػ‬‫ػ‬‫ت‬‫المتقابم‬ ‫ػاف‬‫ػ‬‫ػ‬‫ت‬‫اي‬‫ك‬‫الز‬ ) .................. ، ................... 9... ‫ػف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػر‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫خ‬‫اآل‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫مني‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػؼ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ص‬‫ين‬ ‫اف‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫الق‬ )، ................. ، .............. .................. ، ................... :‫قياسيما‬ ‫ع‬‫مجمك‬ ‫المتتاليتاف‬ ‫ايتاف‬‫ك‬‫الز‬ )4;3‫ق‬ ................. ، ................. ‫مف‬ ‫كؿ‬ ‫في‬ ;..................... ‫يسمى‬ ‫فإنو‬ ‫قائمة‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ايا‬‫ك‬‫ز‬ ‫إحدل‬ ‫كاف‬ ‫إذا‬ ) <‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ت‬ ‫إذا‬ )‫ػمى‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ي‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫فإ‬ ،‫ػداف‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫متعا‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫ر‬‫قط‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ‫ػالع‬‫ػ‬‫ػ‬‫ػ‬‫ض‬‫األ‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫يف‬‫ر‬‫ػاك‬‫ػ‬‫ػ‬‫ػ‬‫ج‬‫مت‬ ‫ػمعيف‬‫ػ‬‫ػ‬‫ػ‬‫ض‬ ‫ال‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬ ‫كل‬ ................. 43................. = ‫اآلخر‬ ‫منيما‬ ‫كؿ‬ ‫ينصؼ‬ ‫اف‬‫ر‬‫القط‬ ‫فييا‬ ‫التي‬ ‫باعية‬‫ر‬‫ال‬ ‫األةكاؿ‬ ‫عدد‬ ) ‫متوازي‬ ‫األضالع‬ ‫مستطٌل‬ ‫معٌن‬ ‫مربع‬ ‫ضلعان‬ ‫متجاوران‬ ‫متساويان‬ ‫أو‬ ‫القطران‬ ‫متعامدان‬
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫الحفظ‬ ‫مع‬ ‫مرة‬ ‫الهندسٌة‬ ‫األشكال‬ ‫من‬ ‫كل‬ ‫خواص‬ ‫كتابة‬ :‫الواجب‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬28‫رقم‬ )1،2–‫(ص‬29‫رقم‬ )5 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الهندسٌة‬ ‫األشكال‬ ‫بٌن‬ ‫العالقات‬ ‫تابع‬ :‫التمهٌد‬ 1:‫المقابل‬ ‫الشكل‬ ً‫ف‬ ‫الزواٌا‬ ‫عدد‬ ‫كم‬ ) ‫ايا‬‫ك‬‫الز‬ ‫عدد‬.………………… ‫كىي‬……………،..……………،.…………… ……………،..……………،.…………… 2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ) ‫يككف‬ ‫متعامداف‬ ‫اه‬‫ر‬‫قط‬ ‫الذم‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ )‫أ‬…………… ‫كمت‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ )‫ب‬‫في‬ ‫عامداف‬………………… :‫والمصطلحات‬ ‫المفاهٌم‬ )‫يف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫ع‬‫(مجمك‬ = ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬×5 ‫مثال‬1::‫ػؿ‬‫ب‬‫المقا‬ ‫ػكؿ‬‫ة‬‫ال‬ ‫في‬‫ب‬ ‫أ‬‫حــ‬‫ػو‬‫ي‬‫ف‬ ‫ػالع‬‫ض‬‫أ‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫د‬: = )‫(<أ‬ ‫ؽ‬83‫ق‬ =‫ب‬ ‫أ‬ ،7‫أ‬ ،‫سـ‬=‫د‬9،‫سـ‬ (‫ؽ‬<‫ب‬ ‫د‬‫حـ‬= )63‫ق‬ . :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ 4<(‫ؽ‬ )‫حـ‬‫ؽ(<أد‬ ،)‫د‬ ‫ب‬ ‫ؽ(<أ‬ ،)‫حـ‬‫د‬ ‫(<أ‬ ‫ؽ‬ ،).)‫ب‬ 5‫ب‬ ‫أ‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬ )‫حـ‬.‫د‬ ‫الحل‬ 4<( ‫ؽ‬ )‫حـ‬= )‫(<أ‬ ‫ؽ‬ = )83‫ق‬ ‫متقابمتاف‬ ‫اكيتاف‬‫ز‬[‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫في‬] = )‫د‬ ‫ب‬ ‫ؽ(<أ‬4;3–(83+63= )4;3–;3=433‫ق‬ ]‫متتاليتاف‬ ‫اكيتاف‬‫ز‬[ ‫د‬ ‫ؽ(<أ‬‫حـ‬= )4;3–83=463‫ق‬ ]‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫في‬ ‫متتاليتاف‬ ‫اكيتاف‬‫ز‬[ <(‫ؽ‬= )‫ب‬ ‫د‬ ‫أ‬4;3–(83+433= )4;3–483=63‫ق‬ = ‫المثمث‬ ‫ايا‬‫ك‬‫ز‬ ‫ع‬‫(مجمك‬4;3‫ق‬ ) 5)‫يف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫ع‬‫(مجمك‬ = ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬ )×5 =(7+9× )5 =43×5=53‫سـ‬ ‫أ‬ ‫ب‬ ‫ح‬ ‫ـ‬ ‫د‬ ‫هـ‬ ‫د‬ ‫حـ‬ ‫أ‬ ‫ب‬ 24ِ 34ِ
24 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫المنحرف‬ ‫شبه‬.‫ياف‬‫ز‬‫ا‬‫ك‬‫مت‬ ‫متقابالف‬ ‫ضمعاف‬ ‫فيو‬ ‫باعي‬‫ر‬ ‫ةكؿ‬ ‫ىك‬ :‫تدرٌب‬ :‫المقابل‬ ‫الشكل‬ ً‫ف‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬<( ‫ؽ‬ :‫أكجد‬ .‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬<(‫ؽ‬ ،)‫د‬<(‫ؽ‬ ،)‫ػ‬‫ح‬ ‫أ‬ ‫ب‬)‫د‬ ‫ػ‬‫ح‬ ‫أ‬ ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫ا‬:‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬28‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫أن‬ ‫تذكر‬ ‫د‬ ‫حـ‬ ‫أ‬ ‫ب‬ 144 ِ 32ِ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫ت‬‫الهندسٌة‬ ‫األشكال‬ ‫على‬ ‫مارٌن‬ ‫تمرٌن‬1:‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬،:‫فيو‬ = ‫د‬ ‫ـ‬7= ‫د‬ ‫أ‬ ،‫سـ‬:= ‫ب‬ ‫أ‬ ،‫سـ‬9‫سـ‬، =)‫د‬ ‫أ‬ ‫ػ‬‫ح‬<(‫ؽ‬83‫ق‬ =)‫ػ‬‫ح‬ ‫ب‬ ‫ؽ(<أ‬ ،98‫ق‬ . :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ ‫ؽ(<أد‬ )‫أ‬‫حـ‬).)‫ػ‬‫ح‬ ‫أ‬ ‫ؽ(<ب‬ ،.‫د‬ ‫ب‬ ‫طكؿ‬ )‫ب‬6‫د‬ ‫ب‬ ‫أ‬ ‫المثمث‬ ‫محيط‬ ) ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫تمرٌن‬2::‫أكجد‬ ،‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬ ‫المقابؿ‬ ‫الةكؿ‬ ‫في‬ 4)‫ػ‬‫ح‬ ‫أ‬ ‫ؽ(<ب‬ )5)‫ػ‬‫ح‬ ‫د‬ ‫ؽ(<أ‬ ) ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ 114 ِ 02ِ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬
27 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬‫(ص‬36‫رقم‬ )1،2-‫(ص‬45‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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23 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫البصرٌة‬ ‫األنماط‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫البصري‬ ‫النمط‬.‫معينة‬ ‫لقاعدة‬ ‫ا‬‫ن‬‫كفق‬ ‫الرمكز‬ ‫أك‬ ‫األةكاؿ‬ ‫مف‬ ‫تتابع‬ ‫ىك‬ ‫مثال‬1:‫وأكمل‬ ‫الحظ‬ : .............. ............ ‫ع‬ ‫س‬ ‫س‬ ‫ع‬ ‫س‬ ‫س‬ ‫ع‬ ‫س‬ ‫س‬ ‫مثال‬2:‫النمط‬ ‫وصف‬ ‫أكمل‬ : .................................. :‫النمط‬ ‫وصف‬‫ت‬‫الةكؿ‬ ‫ار‬‫ر‬‫ك‬ ‫مثاؿ‬6:‫النمط‬ ‫في‬ ‫التالي‬ ‫الةكؿ‬ ‫اكتب‬ : ............................. :‫وصفه‬ ‫واكتب‬ ‫تكراره‬ ‫وأكمل‬ ‫النمط‬ ‫اكتشف‬ :‫تدرٌب‬ 4)............................... .................... :‫النمط‬ ‫كصؼ‬........................ 5)................................. ............................................ :‫النمط‬ ‫كصؼ‬
20 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬35)
22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الحجوم‬ ‫قٌاس‬ ‫وحدات‬ :‫المجسمات‬ :ً‫ال‬‫أو‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫المجسم‬‫ي‬ ‫ما‬ ‫كؿ‬ ‫ىك‬.‫اغ‬‫ر‬‫الف‬ ‫مف‬ ‫حيز‬ ‫ةغؿ‬ ‫المجسمات‬ :‫المستطٌالت‬ ‫متوازي‬ .‫اصو‬‫ك‬‫خ‬ ‫منتظـ‬ ‫ىندسي‬ ‫مجسـ‬ ‫ىك‬ 4.‫مستطيؿ‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫أكجو‬ ‫ستة‬ ‫لو‬ ) 5‫لو‬ )45،‫حرؼ‬;.‫رؤكس‬ 6‫ي‬‫ز‬‫ا‬‫ك‬‫كمت‬ ‫المساحة‬ ‫في‬ ‫متساكييف‬ ‫متقابميف‬ ‫كجييف‬ ‫كؿ‬ )‫ي‬.‫ف‬ 7‫ن‬‫ف‬‫حر‬ ‫يسمى‬ ‫مستقيمة‬ ‫قطعة‬ ‫في‬ ‫يتقاطعاف‬ ‫كجييف‬ ‫كؿ‬ ).‫ا‬ :‫المكعب‬ ‫از‬‫ك‬‫مت‬ ‫ىك‬.‫الثالثة‬ ‫أبعاده‬ ‫تساكت‬ ‫مستطيالت‬ ‫م‬ 4.‫بع‬‫ر‬‫م‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫أكجو‬ ‫ستة‬ ‫لو‬ )5‫لو‬ )45.‫الطكؿ‬ ‫في‬ ‫متساكية‬ ‫جميعيا‬ ‫حرؼ‬ 6‫لو‬ );.‫رؤكس‬ ً‫هندس‬ ‫شكل‬ ‫لها‬ً‫هندس‬ ‫شكل‬ ‫لها‬ ‫لٌس‬
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫الحجم‬.‫اغ‬‫ر‬‫الف‬ ‫مف‬ ‫الجسـ‬ ‫يةغمو‬ ‫الذم‬ ‫الحيز‬ ‫مقدار‬ ‫ىك‬ ‫الحجوم‬ ‫قٌاس‬ ‫وحدات‬ 4)‫الديسم‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4‫ديس‬( ‫ـ‬43.)‫سـ‬ 5)‫السم‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4.‫سـ‬ 6)‫م‬ ‫الـ‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4= ‫ـ‬433= ‫سـ‬43.‫ديسـ‬ 7)‫مم‬ ‫الـ‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4.‫مـ‬ :‫أكمل‬ 4)8‫سـ‬6‫مـ‬ ........ =65)4833‫مـ‬6‫سـ‬ ......... =6 6)3.334‫سـ‬6‫مـ‬ ........ =67)633333‫سـ‬6.... =‫مـ‬ .......6 8):333333‫سـ‬6‫ـ‬ ....... =69);8333333333‫مـ‬6‫........سـ‬ =6 :)57333‫ديسـ‬6‫......ـ‬ =6;)48‫ديسـ‬6‫مـ‬ ....... =6 :‫ا‬ًٌ‫تنازل‬ ‫رتب‬ 833333‫سـ‬683333‫ديسـ‬68‫ـ‬6 .................................................................................. ×0111×0111×0111 ÷0111÷0111÷0111 ‫و‬3‫ديسى‬3‫سى‬3‫يى‬3
22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬31‫رقم‬ )1،2
21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬31‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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29 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ‫المستطٌالت‬ ‫متوازي‬ ‫حجم‬ :‫التمهٌد‬‫لو‬ ‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬45،‫حرؼ‬7،‫طكؿ‬7،‫عرض‬7‫تفاع‬‫ر‬‫ا‬ ‫[الطكؿ‬ ‫بيا‬ ‫يقصد‬ ‫األبعاد‬]‫تفاع‬‫ر‬‫اال‬ ، ‫العرض‬ ، = ‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫حجـ‬‫الطكؿ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ ‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = ‫القاعدة‬ ‫مساحة‬ =×‫تفاع‬‫ر‬‫اال‬ ‫مثال‬1:‫طكلو‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬8‫كعرضو‬ ،‫سـ‬6‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬5.‫سـ‬ .‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫حجـ‬ ‫أكجد‬ ‫الحل‬ ‫ال‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬‫طكؿ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ =8×6×5 =63‫سـ‬6 ‫مثال‬2:‫أبعاده‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬63،‫سـ‬5،‫ديسـ‬<.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ :ً‫ال‬‫أو‬‫التحكيؿ‬5= ‫ديسـ‬5×43=53‫سـ‬ ‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =63×53×<=8733‫سـ‬6 :‫تدرٌب‬‫قاعدتو‬ ‫مساحة‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬<‫سـ‬5‫تفاعو‬‫ر‬‫ا‬‫ك‬6.‫سـ‬ ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫تفاع‬‫ر‬‫اال‬ =<×6=5:‫سـ‬6 :‫التقوٌم‬ ‫طكلو‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬:‫كعرضو‬ ‫ديسـ‬5‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫متر‬6.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫الطكؿ‬=:= ‫ديسـ‬:×43=:3‫سـ‬ ‫ال‬‫عرض‬5= ‫متر‬5×433=533‫سـ‬= ‫تفاع‬‫ر‬‫اال‬6‫سـ‬ ‫الطكؿ‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ =:3×533×6 =75333‫سـ‬6
14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬32‫رقم‬ )1،2،4 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المستطٌالت‬ ‫متوازي‬ ‫حجم‬ ‫تابع‬ :‫أكمل‬ :‫المقابل‬ ‫الشكل‬ ‫من‬ :‫التمهٌد‬ ‫القاعدة‬ ‫مساحة‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫تفاع‬‫ر‬‫اال‬ ‫القاعدة‬ ‫مساحة‬‫الطكؿ‬ =×‫العرض‬ ‫االرتفاع‬=‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬÷‫القاعدة‬ ‫مساحة‬ ‫القاعدة‬ ‫طول‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫تفاع‬‫ر‬‫(اال‬×)‫العرض‬ ‫القاعدة‬ ‫عرض‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫(اال‬‫تفاع‬‫ر‬×)‫الطكؿ‬ ‫اااال‬‫ا‬‫مث‬1:‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫قاعد‬ ‫ػتطيالت‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬‫ػمعيا‬‫ػ‬‫ػ‬‫ػ‬‫ض‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫ب‬‫ر‬‫م‬8،‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ ‫تفاه‬‫ر‬‫ا‬‫ك‬6.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫الضمع‬ ‫طكؿ‬ = ‫القاعدة‬ ‫مساحة‬×‫نفسو‬ =8×8=58‫سـ‬ ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫تفاع‬‫ر‬‫اال‬ =58×6=:8‫سـ‬6 ‫مثاؿ‬5‫ح‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ :‫جمو‬;43‫سـ‬6‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،48‫كعرضو‬ ،‫سـ‬9.‫سـ‬ :‫أكجد‬4.‫القاعدة‬ ‫مساحة‬ )5.‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫طكؿ‬ ) ‫الحل‬ ‫القاعدة‬ ‫مساحة‬‫الحجـ‬ =÷‫تفاع‬‫ر‬‫اال‬ =;43÷48=87‫سـ‬5 ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫طكؿ‬÷‫العرض‬ =87÷9=<‫سـ‬ ‫ااال‬‫ا‬‫مث‬3:‫ع‬ ‫ػندكؽ‬‫ػ‬‫ػ‬‫ص‬‫ػاده‬‫ػ‬‫ػ‬‫ع‬‫أب‬ ‫ػتطيالت‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫ػ‬‫م‬93،‫ػـ‬‫ػ‬‫ػ‬‫س‬7;،‫ػـ‬‫ػ‬‫ػ‬‫س‬57‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػع‬‫ػ‬‫ػ‬‫ط‬‫ق‬ ‫ػع‬‫ػ‬‫ػ‬‫ض‬‫ك‬ ‫اد‬‫ر‬‫ػ‬‫ػ‬‫ػ‬ُ‫ي‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬ ‫أبعادىا‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫الصابكف‬43،‫سـ‬7،‫سـ‬6.‫سـ‬ :‫أوجد‬‫الصابكنة‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ ‫بالجنيو‬ ‫الصندكؽ‬ ‫كثمف‬ ،‫الصابكف‬ ‫قطع‬ ‫عدد‬83.‫قرش‬ ‫الحل‬ ‫الصندكؽ‬ ‫حجـ‬‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = =93×7;×57=9<453‫سـ‬6 = ‫الصابكنة‬ ‫قطعة‬ ‫حجـ‬43×7×6=453‫سـ‬ ‫الصابكف‬ ‫قطع‬ ‫عدد‬=9<453÷453=8:9‫صابكنة‬ ‫الصندكؽ‬ ‫ثمف‬=8:9×83=5;;33‫ا‬‫ن‬‫ة‬‫قر‬ ‫بالجنيو‬ ‫الثمف‬=5;;33÷433=5;;‫جنيو‬ ÷÷ ×
17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬32‫رقم‬ )3،5–‫(ص‬33‫رقم‬ )6،7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫المكعب‬ ‫حجم‬ :‫المكعب‬ :‫التمهٌد‬‫ا‬‫ك‬‫مت‬ ‫ىك‬.‫الثالثة‬ ‫أبعاده‬ ‫تساكت‬ ‫مستطيالت‬ ‫م‬‫ز‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫المكعب‬ ‫حجـ‬×‫نفسو‬×‫نفسو‬ :‫المكعب‬ ‫حرف‬ ‫طول‬ ‫إٌجاد‬ 1:‫يكون‬ ،‫األحرف‬ ‫ع‬‫مجمو‬ ‫عمم‬ ‫إذا‬ ) ‫األحرؼ‬ ‫ع‬‫مجمك‬ = ‫الحرؼ‬ ‫طكؿ‬÷45 2:‫يكون‬ ،‫أوجهه‬ ‫أحد‬ ‫محيط‬ ‫أو‬ ،‫القاعدة‬ ‫محيط‬ ‫عمم‬ ‫إذا‬ ) ‫القاعدة‬ ‫محيط‬ = ‫الحرؼ‬ ‫طكؿ‬÷7 3‫مساحة‬ ‫عمم‬ ‫إذا‬ ):‫يكون‬ ،‫أوجهه‬ ‫أحد‬ ‫مساحة‬ ‫أو‬ ‫المكعب‬ ‫قاعدة‬ ‫الحرؼ‬ ‫طكؿ‬‫ىك‬‫ضرب‬ ‫إذا‬ ‫عدد‬×.‫المساحة‬ ‫يعطي‬ ‫نفسو‬ = ‫الحرؼ‬ ‫طكؿ‬‫المساحة‬(‫لمتأكيد‬)‫اآللة‬ ‫باستخداـ‬ 4:‫يكون‬ ،‫المكعب‬ ‫حجم‬ ‫عمم‬ ‫إذا‬ ) ‫ضرب‬ ‫إذا‬ ‫عدد‬ ‫ىك‬ ‫الحرؼ‬ ‫طكؿ‬×‫نفسو‬×‫الحجـ‬ ‫يعطي‬ ‫نفسو‬ = ‫الحرؼ‬ ‫طكؿ‬‫الحجـ‬shift(‫ل‬‫متأكي‬)‫اآللة‬ ‫باستخداـ‬ ‫د‬ :‫ولذلك‬.‫األكلية‬ ‫اممو‬‫ك‬‫ع‬ ‫إلى‬ ‫الحجـ‬ ‫بتحميؿ‬ ‫تقكـ‬ ‫الحجـ‬ ‫عمـ‬ ‫إذا‬ ‫مثال‬1:‫حرفو‬ ‫طكؿ‬ ‫مكعب‬8.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:= ‫الحرؼ‬ ‫طكؿ‬8‫س‬‫ـ‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫الحجـ‬×‫نفسو‬×‫نفسو‬ =8×8×8=458‫سـ‬6 ‫مثال‬2:‫أحرفو‬ ‫ع‬‫مجمك‬ ‫مكعب‬43;.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:‫ط‬............................................... = ‫الحرؼ‬ ‫كؿ‬ ............................................... = ‫الحجـ‬............................................... = ‫مثال‬3:‫أكجيو‬ ‫أحد‬ ‫مساحة‬ ‫مكعب‬69‫سـ‬5.‫حجمو‬ ‫أكجد‬ . ‫الحل‬:‫الحرؼ‬ ‫طكؿ‬=9‫سـ‬ ........................................................ = ‫الحجـ‬ ‫مثال‬4:‫قاعدتو‬ ‫محيط‬ ‫مكعب‬5;.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:‫المحيط‬ = ‫الحرؼ‬ ‫طكؿ‬÷7 ............................................ = ...................................... = ‫المكعب‬ ‫حجـ‬...... ‫مثال‬5:‫حجمو‬ ‫مكعب‬549‫سـ‬6.‫حرفو‬ ‫طكؿ‬ ‫أكجد‬ . ‫الحل‬:= ‫الحرؼ‬ ‫طكؿ‬5×6=9‫سـ‬ 36 = 6 ‫اآلنح‬ ‫تاستخذاو‬ 7117 1417 207 723 93 33 1 3 7
10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المكعب‬ ‫حجم‬ :‫تابع‬ :‫التمهٌد‬4‫ع‬‫مجمك‬ ‫مكعب‬ ):‫أحرفو‬ ‫مف‬ ‫أحرؼ‬;7.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ .................................................................. .................................................................. 5‫حجمو‬ ‫مكعب‬ )4:5;‫سـ‬6‫أكجد‬ .‫حرفو‬ ‫طكؿ‬. ‫الحل‬ .................................................................. .................................................................. ‫مثااال‬1:‫ػا‬‫ػ‬‫ي‬‫حرف‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػة‬‫ػ‬‫ب‬‫عم‬;‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػب‬‫ػ‬‫س‬‫اح‬ .‫ػالعطر‬‫ػ‬‫ب‬ ‫ػأة‬‫ػ‬‫ب‬‫مع‬ ‫ػـ‬‫ػ‬‫س‬6‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػاف‬‫ػ‬‫ك‬ ‫إذا‬ ‫ػب‬‫ػ‬‫م‬‫ع‬ ‫السـ‬6‫احد‬‫ك‬‫ال‬3.58.‫جنيو‬ ‫الحل‬ = ‫الحرؼ‬ ‫طكؿ‬;‫سـ‬ = ‫العمبة‬ ‫حجـ‬;×;×;=845‫سـ‬6 = ‫احدة‬‫ك‬‫ال‬ ‫العمبة‬ ‫سعر‬845×3.58=45;‫جنيو‬ ‫سعر‬6= ‫عمب‬45;×6=6;7‫جنيو‬ ‫تمرٌن‬1:‫ب‬ُ‫ص‬;733‫سـ‬6‫ػتطيالت‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ة‬ ‫عمى‬ ‫إناء‬ ‫في‬ ‫الماء‬ ‫مف‬‫ػاده‬‫ع‬‫أب‬ ‫الداخمية‬68،‫سـ‬53،‫سـ‬78.‫سـ‬ :‫أوجد‬4‫اإل‬ ‫في‬ ‫الماء‬ ‫تفاع‬‫ر‬‫ا‬ ).‫ناء‬5.‫ا‬‫ن‬‫تمام‬ ‫اإلناء‬ ‫لمأل‬ ‫إضافتو‬ ‫الالزـ‬ ‫الماء‬ ‫حجـ‬ ) ‫الحل‬ ‫الماء‬ ‫حجـ‬ = ‫الماء‬ ‫تفاع‬‫ر‬‫ا‬÷‫القاعدة‬ ‫مساحة‬ =;733( ÷68×53) =;733÷:33=45‫سـ‬ = ‫كمو‬ ‫اإلناء‬ ‫حجـ‬68×53×78=64833‫سـ‬6 = ‫إضافتو‬ ‫الالزـ‬ ‫الماء‬ ‫حجـ‬64833-;733=56433‫سـ‬6
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫اارٌن‬‫ا‬‫تم‬3:‫ػو‬‫ػ‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػب‬‫ػ‬‫ػ‬‫ع‬‫مك‬ ‫ػكف‬‫ػ‬‫ػ‬‫ت‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػندكؽ‬‫ػ‬‫ػ‬‫ص‬83‫ػتاؿ‬‫ػ‬‫ػ‬‫س‬‫ي‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ة‬‫ز‬‫ػا‬‫ػ‬‫ػ‬‫ف‬ ‫ػو‬‫ػ‬‫ػ‬‫م‬‫بداخ‬ ‫ػع‬‫ػ‬‫ػ‬‫ض‬‫ك‬ ،‫ػـ‬‫ػ‬‫ػ‬‫س‬ ‫ػر‬‫ػ‬‫س‬‫الك‬ ‫ػف‬‫ػ‬‫م‬ ‫ػا‬‫ػ‬‫ي‬‫كلحمايت‬‫ػ‬‫ػ‬‫ت‬‫ػو‬‫ػ‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ة‬‫ال‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكف‬‫ػ‬‫ت‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫م‬ ‫ػر‬‫ػ‬‫خ‬‫آ‬ ‫ػندكؽ‬‫ػ‬‫ص‬ ‫ػؿ‬‫ػ‬‫خ‬‫دا‬ ‫ػندكؽ‬‫ػ‬‫ص‬‫ال‬ ‫ػع‬‫ػ‬‫ض‬‫ك‬ ‫ـ‬ 93.‫لذلؾ‬ ‫المستخدـ‬ ‫الفيبر‬ ‫حجـ‬ ‫احسب‬ .‫بالفيبر‬ ‫الجيات‬ ‫جميع‬ ‫مف‬ ‫اغ‬‫ر‬‫الف‬ ‫مأل‬ ‫ثـ‬ ،‫سـ‬ ‫الحل‬ ‫ا‬ ‫الصندكؽ‬ ‫حجـ‬= ‫ألكؿ‬83×83×83=458333‫سـ‬6 = ‫الثاني‬ ‫الصندكؽ‬ ‫حجـ‬93×93×93=549333‫سـ‬6 ‫األكؿ‬ ‫الصندكؽ‬ ‫حجـ‬ = ‫الفيبر‬ ‫حجـ‬–‫الثاني‬ ‫الصندكؽ‬ ‫حجـ‬ =549333–458333=<4333‫سـ‬6 ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )4،5 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12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الحجوم‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ :‫التمهٌد‬( + ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬5×)‫مؾ‬ُ‫الس‬ ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬–(5×)‫مؾ‬ُ‫الس‬ ‫تمرٌن‬1:‫أكجيو‬ ‫مساحة‬ ‫مكعب‬87‫سـ‬5.‫حجمو‬ ‫أكجد‬ . ‫الحل‬ ........................................................................... ........................................................................... ........................................................................... ‫ارٌن‬‫ا‬‫تم‬2:‫ػداخمي‬‫ػ‬‫ل‬‫ا‬ ‫ػو‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ف‬ ،‫ػاج‬‫ػ‬‫ج‬‫الز‬ ‫ػف‬‫ػ‬‫م‬ ‫ع‬‫ػنك‬‫ػ‬‫ص‬‫م‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػة‬‫ػ‬‫ن‬‫ي‬‫ز‬‫ال‬ ‫ػماؾ‬‫ػ‬‫س‬‫أل‬ ‫ػكض‬‫ػ‬‫ح‬ 98‫حج‬ ‫أكجد‬ .‫سـ‬‫الزجاج‬ ‫مؾ‬ُ‫س‬ ‫كاف‬ ‫إذا‬ ‫الحكض‬ ‫منو‬ ‫ع‬‫المصنك‬ ‫الزجاج‬ ‫ـ‬83.‫ممميمتر‬ ‫الحل‬ = ‫التحكيؿ‬83÷433=3.8‫سـ‬ ( + ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬5×)‫مؾ‬ُ‫الس‬ =98( +5×3.8= )98+4=99‫سـ‬ ‫جي‬‫الخار‬ ‫الحجـ‬.......................................... =................. ‫الداخمي‬ ‫الحجـ‬............................................................ = ‫جي‬‫الخار‬ ‫الحجـ‬ = ‫الزجاج‬ ‫حجـ‬–‫الداخمي‬ ‫الحجـ‬ ...................................................................... = ........................ =..............................................
11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )6–(‫ص‬37‫رقم‬ )4،7،8،9 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السادس‬ ‫الدرس‬ ‫السعة‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫السعة‬.‫سعة‬ ‫أجكؼ‬ ‫مجسـ‬ ‫ألم‬ ‫الداخمي‬ ‫اغ‬‫ر‬‫الف‬ ‫حجـ‬ ‫ىي‬ :‫اإلناء‬ ‫سعة‬.‫ا‬‫ن‬‫تمام‬ ‫يممؤه‬ ‫الذم‬ ‫السائؿ‬ ‫حجـ‬ ‫ىي‬ :‫السعة‬ ‫قٌاس‬ ‫وحدة‬‫المتر‬ ‫السعة‬ ‫قٌاس‬ ‫وحدات‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : 4)8933‫سـ‬6‫لتر‬ ......... =5)3.56‫ـ‬6......... =‫لتر‬ . 6)<.85‫ديسـ‬6‫لتر‬ ....... =7)7.96‫..........سـ‬ = ‫لتر‬6 :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫تدرٌب‬ 4)88‫ممم‬‫سـ‬ ...... =‫يتر‬65)3.99‫ـ‬6‫لتر‬ ....... = 6)6.58‫ـ‬6‫ديسـ‬ ...... =67)8:33‫مـ‬6‫ممميتر‬ .... = ‫تمرٌن‬1: ‫الداخؿ‬ ‫مف‬ ‫حرفو‬ ‫طكؿ‬ ‫مكعب‬ ‫ةكؿ‬ ‫عمى‬ ‫إناء‬63‫ال‬ ‫يت‬‫ز‬‫ب‬ ‫مؿء‬ ‫سـ‬.‫طعاـ‬ 4.‫الطعاـ‬ ‫يت‬‫ز‬ ‫مف‬ ‫سعتو‬ ‫احسب‬ ) 5‫احد‬‫ك‬‫ال‬ ‫المتر‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ )<.8.‫كمو‬ ‫يت‬‫ز‬‫ال‬ ‫ثمف‬ ‫احسب‬ .‫ا‬‫ن‬‫جنيي‬ ‫الحل‬ ......................................................... ......................................................... ......................................................... ‫و‬3 ‫يتر‬ =3 ‫يى‬3 ‫ديسى‬3 )‫(نتر‬ ‫سى‬3 )‫(يههيتر‬
94 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬35‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السعة‬ :‫تابع‬ ‫تمرٌن‬1:‫بو‬ ‫كعاء‬45‫ػا‬‫ي‬‫من‬ ‫ػؿ‬‫ك‬ ‫ػعة‬‫س‬ ‫ة‬‫ر‬‫ػغي‬‫ص‬ ‫ػات‬‫ج‬‫زجا‬ ‫في‬ ‫يغيا‬‫ر‬‫تف‬ ‫اد‬‫ر‬ُ‫ي‬ ‫العسؿ‬ ‫مف‬ ‫لتر‬733‫ػـ‬‫س‬6‫ػب‬‫س‬‫اح‬ . .‫لذلؾ‬ ‫الالزمة‬ ‫الزجاجات‬ ‫عدد‬ ‫الحؿ‬ ‫بالسـ‬ ‫الكعاء‬ ‫سعة‬6=45×4333=45333‫سـ‬6 = ‫الزجاجات‬ ‫عدد‬45333÷7=63‫زجاجة‬ ‫تمرٌن‬2:‫ػ‬‫ي‬‫الداخم‬ ‫ػاده‬‫ع‬‫أب‬ ‫ػتطيالت‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ة‬ ‫ػى‬‫م‬‫ع‬ ‫ػباحة‬‫س‬ ‫ػاـ‬‫م‬‫ح‬‫ة‬73،‫ـ‬63،‫ـ‬4.;‫ػعتو‬‫س‬ ‫ػب‬‫س‬‫اح‬ .‫ـ‬ .‫ات‬‫ر‬‫بالمت‬ ‫الحل‬ ......................................................... ......................................................... ......................................................... ‫ارٌن‬‫ا‬‫تم‬3:‫ػتطيالت‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػاء‬‫ػ‬‫ن‬‫إ‬‫ػو‬‫ػ‬‫ت‬‫قاعد‬ ‫ػدا‬‫ػ‬‫ع‬‫ب‬58،‫ػـ‬‫ػ‬‫س‬63‫ػو‬‫ػ‬‫ع‬‫تفا‬‫ر‬‫ا‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬75‫ػعت‬‫ػ‬‫ض‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬ ‫تفاعيا‬‫ر‬‫ا‬ ‫الر‬‫ك‬‫الس‬ ‫مف‬ ‫كمية‬ ‫بداخمو‬.‫اإلناء‬ ‫تفاع‬‫ر‬‫ا‬ :‫احسب‬4.‫باإلناء‬ ‫الر‬‫ك‬‫الس‬ ‫حجـ‬ ) 5‫احد‬‫ك‬‫ال‬ ‫المتر‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ ‫الر‬‫ك‬‫لمس‬ ‫الكمي‬ ‫الثمف‬ )4.5.‫جنيو‬ ‫الحل‬ = ‫الر‬‫ك‬‫الس‬ ‫تفاع‬‫ر‬‫ا‬×75=47‫سـ‬ ‫الر‬‫ك‬‫الس‬ ‫حجـ‬= ‫بالمتر‬43833÷4333=43.8‫لتر‬ = ‫الر‬‫ك‬‫الس‬ ‫ثمف‬43.8×4.5=45.9‫جنيو‬ 1 3 1 3
97 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬35‫رقم‬ )4–‫(ص‬45‫رقم‬ )7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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93 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابعة‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫أنواع‬ 4):‫اافٌة‬‫ا‬‫وص‬ ‫ااات‬‫ا‬‫بٌان‬‫ػكف‬‫ػ‬‫ػ‬‫م‬‫ال‬ :‫ػؿ‬‫ػ‬‫ػ‬‫ث‬‫م‬ ،‫ػع‬‫ػ‬‫ػ‬‫م‬‫المجت‬ ‫اد‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ف‬‫أ‬ ‫ػة‬‫ػ‬‫ػ‬‫ل‬‫حا‬ ‫ػؼ‬‫ػ‬‫ػ‬‫ص‬‫لك‬ ‫ػفات‬‫ػ‬‫ػ‬‫ص‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ص‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػب‬‫ػ‬‫ػ‬‫ت‬‫تك‬ ‫ػات‬‫ػ‬‫ػ‬‫ن‬‫بيا‬ ‫ػي‬‫ػ‬‫ػ‬‫ى‬ .‫الجنسية‬ ،‫االجتماعية‬ ‫الحالة‬ ،‫الميالد‬ ‫مكاف‬ ،‫المفضؿ‬ ‫األكؿ‬ ،‫المفضؿ‬ 5):‫كمٌااة‬ ‫بٌانااات‬‫ق‬ ‫ػف‬‫ػ‬‫ع‬ ‫ػر‬‫ػ‬‫ي‬‫لمتعب‬ ‫ػداد‬‫ػ‬‫ع‬‫أ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ص‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػب‬‫ػ‬‫ت‬‫تك‬ ‫ػات‬‫ػ‬‫ن‬‫بيا‬ ‫ػي‬‫ػ‬‫ػ‬‫ى‬،‫ػر‬‫ػ‬‫ػ‬‫م‬‫الع‬ :‫ػؿ‬‫ػ‬‫ث‬‫م‬ ،‫ػة‬‫ػ‬‫ن‬‫معي‬ ‫ة‬‫ر‬‫ػاى‬‫ػ‬‫ظ‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬ .‫ة‬‫ر‬‫ا‬‫ر‬‫الح‬ ‫درجة‬ ،‫الميالد‬ ‫يخ‬‫ر‬‫تا‬ ،‫الحذاء‬ ‫مقاس‬ ،‫الكزف‬ ،‫الطكؿ‬ 6):‫البٌانات‬ ‫استمارة‬‫ػيف‬‫ع‬‫م‬ ‫ػخص‬‫ة‬ ‫ػص‬‫خ‬‫ت‬ ‫ػة‬‫ي‬‫الكم‬‫ك‬ ‫ػفية‬‫ص‬‫الك‬ ‫ػات‬‫ن‬‫البيا‬ ‫ػف‬‫م‬ ‫ػة‬‫ع‬‫مجمك‬ ‫ػمف‬‫ض‬‫تت‬ ‫ة‬‫ر‬‫استما‬ ‫ىي‬ .‫معيف‬ ‫كةيء‬ 7):‫البٌانات‬ ‫قاعدة‬‫األة‬ ‫مف‬ ‫عدد‬ ‫تخص‬ ‫الكمية‬‫ك‬ ‫الكصفية‬ ‫البيانات‬ ‫مف‬ ‫مجمكعة‬ ‫ىي‬.‫المؤسسات‬‫ك‬ ‫خاص‬
90 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬42،43) ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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92 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫الوصفٌة‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫تجمٌع‬ ‫بو‬ ‫فصؿ‬ :‫مثاؿ‬69‫ػس‬‫م‬‫خ‬ ‫ػيف‬‫ب‬ ‫ػف‬‫م‬ ‫ػنيـ‬‫م‬ ‫ػؿ‬‫ك‬ ‫ػميا‬‫ض‬‫يف‬ ‫ػي‬‫ت‬‫ال‬ ‫ػة‬‫ي‬‫ا‬‫ك‬‫الي‬ ‫ػجيؿ‬‫س‬‫ت‬ ‫ػؿ‬‫ص‬‫الف‬ ‫ػد‬‫ئ‬‫ا‬‫ر‬ ‫ػنيـ‬‫م‬ ‫ػب‬‫م‬‫ط‬ ‫ا‬‫ن‬‫ذ‬‫تممي‬ ‫ػاء‬‫ػ‬‫ػ‬‫ن‬‫[الغ‬ :‫ػي‬‫ػ‬‫ػ‬‫ى‬ ،‫ػات‬‫ػ‬‫ػ‬‫ي‬‫ا‬‫ك‬‫ى‬–‫ػـ‬‫ػ‬‫ػ‬‫س‬‫الر‬–‫ػؿ‬‫ػ‬‫ػ‬‫ي‬‫التمث‬–‫اءة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫ال‬–،‫ػات‬‫ػ‬‫ػ‬‫ي‬‫ا‬‫ك‬‫الي‬ ‫ػؾ‬‫ػ‬‫ػ‬‫م‬‫ت‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػابقة‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫ػيـ‬‫ػ‬‫ػ‬‫ظ‬‫لتن‬ ]‫ػزؼ‬‫ػ‬‫ػ‬‫ع‬‫ال‬ :‫التالي‬ ‫النحك‬ ‫عمى‬ ‫البيانات‬ ‫فكانت‬ ‫رسـ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫غناء‬–‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫رسـ‬ ‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫عزؼ‬–‫تمثيؿ‬–‫غناء‬–‫اءة‬‫ر‬‫ق‬–‫رسـ‬ ‫تمثيؿ‬–‫رسـ‬–‫غناء‬–‫عزؼ‬–‫رسـ‬–‫تمثيؿ‬–‫رسـ‬–‫اءة‬‫ر‬‫ق‬ ‫اءة‬‫ر‬‫ق‬–‫رسـ‬–‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫رسـ‬–‫غناء‬–‫رسـ‬–‫اءة‬‫ر‬‫ق‬ ‫غناء‬–‫تمثيؿ‬–‫رسـ‬–‫عزؼ‬ ‫جدكؿ‬ ‫ككف‬ *:‫م‬‫ار‬‫ر‬‫التك‬ ‫يع‬‫ز‬‫التك‬ ‫جدكؿ‬ ‫اكتب‬ ‫ثـ‬ ،‫م‬‫ار‬‫ر‬‫تك‬ ‫بيانات‬ ‫يغ‬‫ر‬‫تف‬ ‫العالمات‬ ‫تفرٌع‬ ‫جدول‬ ‫الهواٌة‬‫العالمات‬‫العدد‬ ‫الغناء‬........................... ‫الرسـ‬........................... ‫التمثيؿ‬........................... ‫اءة‬‫ر‬‫الق‬........................... ‫العزؼ‬........................... ‫التكراري‬ ‫التوزٌع‬ ‫جدول‬ ‫انهىايح‬‫انغُاء‬‫انرسى‬‫انتًثيم‬‫انقراءج‬‫انعسف‬‫انًجًىع‬
91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬44‫رقم‬ )1،2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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92 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫الكمٌة‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫تجمٌع‬ ‫قيمة‬ ‫أكبر‬ = ‫المدل‬–‫قيمة‬ ‫أصغر‬ = ‫المجمكعات‬ ‫عدد‬ ‫ػدل‬‫ػ‬‫ح‬‫بإ‬ ‫ػادس‬‫ػ‬‫س‬‫ال‬ ‫ػؼ‬‫ػ‬‫ص‬‫ال‬ ‫ػكؿ‬‫ػ‬‫ص‬‫ف‬ ‫ػد‬‫ػ‬‫ح‬‫أ‬ ‫ػذ‬‫ػ‬‫ي‬‫لتالم‬ ‫ػي‬‫ػ‬‫س‬‫ا‬‫ر‬‫الد‬ ‫ػاـ‬‫ػ‬‫ع‬‫ال‬ ‫ػة‬‫ػ‬‫ي‬‫نيا‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػيات‬‫ػ‬‫ض‬‫يا‬‫ر‬‫ال‬ ‫ػادة‬‫ػ‬‫م‬ ‫ػائج‬‫ػ‬‫ت‬‫ن‬ ‫ػر‬‫ػ‬‫ص‬‫ح‬ ‫ػـ‬‫ػ‬‫ت‬ ‫كعددىـ‬ ‫المدارس‬75:‫يمي‬ ‫كما‬ ‫درجاتيـ‬ ‫فكانت‬ ،‫ا‬‫ن‬‫ذ‬‫تممي‬ ،‫العظمى‬ ‫النياية‬ ‫درجة‬ ‫مف‬‫كىي‬93:‫درجة‬ 69–65–75–6;–78–5;–75 8:–53–74–8<–7<–7;–79 73–7;–84–86–87–88–69 66–77–8:–87–79–85–59 6:–63–67–7:–68–77–5< 7<–7<–83–56–76–6<–76 ‫الحل‬ ‫تح‬‫قيمة‬ ‫أصغر‬‫ك‬ ‫قيمة‬ ‫أكبر‬ ‫ديد‬ = ‫قيمة‬ ‫أكبر‬8< = ‫قيمة‬ ‫أصغر‬5 = ‫المدل‬8<–53=6< = ‫المجمكعة‬ ‫طكؿ‬ ‫تحديد‬8‫درجات‬ = = = ‫المجمكعات‬ ‫عدد‬:=;‫مجمكعات‬ :‫البٌانات‬ ‫تفرٌغ‬ ‫جدول‬ ‫الدرجات‬ ‫مجموعة‬‫العالمات‬‫التكرار‬ 53- 58- 63- 68- 73- 78- 83- ‫ع‬‫المجمك‬ ‫انًذي‬ ‫انًجًىعح‬ ‫طىل‬ ‫انًذي‬ ‫انًجًىعح‬ ‫طىل‬ 39 2 0 2
91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ :‫التكراري‬ ‫التوزٌع‬ ‫جدول‬ ‫المجم‬‫وعة‬53-58-63-68-73-78-83-88-‫ع‬‫المجمك‬ ‫التكرار‬ :‫اآلتٌة‬ ‫األسئلة‬ ‫عن‬ ‫أجب‬ ‫ثم‬ ،‫التكراري‬ ‫الجدول‬ ‫اكتب‬ ‫ثم‬ ،‫التكراري‬ ‫التفرٌغ‬ ‫جدول‬ ‫كون‬ * 4‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ ‫ما‬ )83‫التالميذ؟‬ ‫الء‬‫ؤ‬‫لي‬ ‫المئكية‬ ‫النسبة‬ ‫كما‬ ‫فأكثر؟‬ ‫درجة‬ .................................................................................................... .................................................................................................... 5‫ال‬ ‫النسبة‬ ‫كما‬ ‫نظرؾ؟‬ ‫كجية‬ ‫مف‬ ‫الدرجات‬ ‫أقؿ‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ ‫ما‬ )‫ليـ؟‬ ‫مئكية‬ .................................................................................................... 6‫ياضيات؟‬‫ر‬‫ال‬ ‫مادة‬ ‫في‬ ‫زمالئؾ‬ ‫تنصم‬ َ‫ـ‬ِ‫ب‬ ) .................................................................................................... ‫ا‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫لواجب‬45‫رقم‬ )1–‫(ص‬46‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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99 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ ‫تمثٌل‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫المجمكعة‬ ‫مركز‬ ‫مثال‬1:‫لدرجات‬ ‫تكرار‬ ‫توزٌع‬ ‫ٌمثل‬ ً‫اآلت‬ ‫الجدول‬75:‫تلمٌذ‬ ‫المجموعة‬43-53-63-73-83-93-‫ع‬‫المجمك‬ ‫التكرار‬9;4548434<:3 4‫ث‬ ،‫م‬‫ار‬‫ر‬‫التك‬ ‫بالمنحنى‬ ‫السابقة‬ ‫البيانات‬ ‫مثؿ‬ ):‫األسئمة‬ ‫عف‬ ‫أجب‬ ‫ـ‬ ‫مف‬ ‫أقؿ‬ ‫عمى‬ ‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬ )‫أ‬63.‫درجة‬ )‫ب‬‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬‫عمى‬73.‫فأكثر‬ ‫درجة‬ ‫مف‬ ‫درجات‬ ‫عمى‬ ‫الحاصميف‬ ‫لمتالميذ‬ ‫المئكية‬ ‫النسبة‬ )‫ج‬53‫مف‬ ‫أقؿ‬‫ك‬ ‫درجة‬73.‫درجة‬ ‫الحل‬ = ‫التالميذ‬ ‫عدد‬ )‫أ‬9+;=47‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬ )‫ب‬48+43+4<=77‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬ )‫ج‬;+45=53‫تمميذ‬ = ‫المئكية‬ ‫النسبة‬×433= %5;.8% ‫َهايتها‬ + ‫انًجًىعح‬ ‫تذايح‬ 7 74 24
144 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫المجموعة‬ ‫مركز‬ ‫جدول‬ ‫تكوٌن‬ ‫المجموعة‬‫المجموعة‬ ‫مركز‬‫التكرار‬‫الممثلة‬ ‫النقطة‬ ‫للمجموعة‬ 43-9(48،9) 53-;(58،;) 63-45 73-48 83-43 93-4< ‫تمثٌل‬‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ 14+74 7 =12 74+34 7 =72
141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬47‫رقم‬ )1 ................................................................................................................................................................................................................................................................................................................................ 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147 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ ‫تمثٌل‬
143 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ ‫تمثٌل‬ ‫على‬ ‫تمارٌن‬ ‫تمرٌن‬1: 4‫درجات‬ ‫كانت‬ ‫إذا‬ )[ ‫بيف‬ ‫ح‬‫اك‬‫ر‬‫تت‬ ‫التالميذ‬53،85.‫درجة‬ ] .‫لمدرجات‬ ‫المدل‬ :‫أكجد‬ ‫الحل‬ = ‫المدل‬85–53=65‫درجة‬ 5‫درجات‬ ‫كانت‬ ‫إذا‬ )9‫ىي‬ ‫االمتحانات‬ ‫أحد‬ ‫في‬ ‫تالميذ‬5<،66،8:،73،69،7<، .‫الدرجات‬ ‫ليذه‬ ‫المدل‬ ‫فأكجد‬ ‫الحل‬ ........ = ‫درجة‬ ‫أكبر‬،....... = ‫درجة‬ ‫أصغر‬ .................................. = ‫المدل‬ ‫تمرٌن‬2:‫لدرجات‬ ‫م‬‫ار‬‫ر‬‫تك‬ ‫يع‬‫ز‬‫تك‬ ‫يمثؿ‬ ‫اآلتي‬ ‫الجدكؿ‬83:‫االمتحانات‬ ‫أحد‬ ‫في‬ ‫تمميذ‬ ‫المجموعة‬3-43-53-63-73-83-‫الم‬‫ع‬‫جمك‬ ‫التكرار‬7:;4744983 4:‫األسئمة‬ ‫عف‬ ‫أجب‬ ‫ثـ‬ ،‫م‬‫ار‬‫ر‬‫التك‬ ‫بالمنحنى‬ ‫السابقة‬ ‫البيانات‬ ‫مثؿ‬ ) ‫مف‬ ‫أقؿ‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ )‫أ‬63.‫درجة‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ )‫ب‬73.‫ليـ‬ ‫المئكية‬ ‫النسبة‬ ‫ىي‬ ‫كما‬ ،‫فأكثر‬ ‫درجة‬ ‫عمى‬ ‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬ )‫ج‬43‫درجات‬‫مف‬ ‫أقؿ‬‫ك‬63.‫درجة‬
140 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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142 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫واجب‬‫كتاب‬ :‫(ص‬ ‫المدرسة‬47‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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142 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬‫(ص‬48‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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149 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
114 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫النهائٌة‬ ‫المراجعة‬
111 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
117 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬
113 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
110 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬
112 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
111 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ ً‫الدراس‬ ‫الفصل‬

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كراسة المراجعة النهائية فى الرياضيات لامتحان نصف العام للصف السادس الابتدائى

  • 1.
    1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫االعتٌادٌة‬ ‫الكسور‬ ‫واختصار‬ ‫القسمة‬ ‫قابلٌة‬ ‫على‬ ‫مراجعة‬ ‫مثال‬1:‫عمى‬ ‫القسمة‬ ‫يقبل‬ ‫رقمين‬ ‫من‬ ‫ا‬ً‫ن‬‫مكو‬ ‫ا‬ً‫عدد‬ ‫اكتب‬2. ‫الحل‬........ :.......................................................................... ‫مثال‬2:‫عم‬ ‫القسمة‬ ‫يقبل‬ ‫الذي‬ ‫العدد‬ ‫حول‬ ‫ة‬‫دائر‬ ‫بوضع‬ ‫حدد‬‫ى‬2‫يقبل‬ ‫الذي‬ ‫تحت‬ ‫وخط‬ ، ‫عمى‬ ‫القسمة‬3:‫يمي‬ ‫فيما‬ 4657،564،657،6;3 ‫تدرٌب‬1:‫عمى‬ ‫القسمة‬ ‫تقبل‬ ‫صحيحة‬ ‫أعداد‬ ‫ثالثة‬ ‫اكتب‬5. :‫الحل‬........... ، ........... ، .......... ‫مثال‬3:‫اخت‬‫ص‬:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫ر‬ )‫أ‬== = )‫ب‬ = )‫ج‬)‫د‬= 11 72 074 094 3 17 ---- ---- ---- ---- ---- ---- ---- ---- 01 742 ---- ---- ‫لها‬ ‫التي‬ ‫األعداد‬ ‫هي‬ ‫األولية‬ ‫األعداد‬.‫فقط‬ ‫عامالن‬ :‫أن‬ ‫تذكر‬ 4‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬ )5( ‫آحادىا‬ ‫رقـ‬ ‫التي‬ ‫ىي‬ :3،5،7،9،;.) 5‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬ )8( ‫آحادىا‬ ‫التي‬ ‫ىي‬ :3‫أك‬8.) 6)‫عمى‬ ‫القسمة‬ ‫تقبؿ‬ ‫التي‬ ‫األعداد‬6‫عمى‬ ‫القسمة‬ ‫يقبؿ‬ ‫قاميا‬‫ر‬‫أ‬ ‫ع‬‫مجمك‬ ‫التي‬ ‫ىي‬ :6 ‫العدد‬ ‫مضاعفات‬ ‫(مف‬6.) :‫أن‬ ‫تذكر‬
  • 2.
    7 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫األع‬ ‫اكتب‬‫بٌن‬ ‫المحصورة‬ ‫األولٌة‬ ‫داد‬1،55: :‫هي‬ ،‫األولية‬ ‫األعداد‬ .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. .................................................................................................................................................................................................. ‫التق‬‫ـ‬‫وٌم‬ 1:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ ) = = )‫أ‬ = )‫ب‬ 2‫اكتب‬ )5‫أ‬‫على‬ ‫القسمة‬ ‫تقبل‬ ‫عداد‬2،5:‫ا‬ً‫ع‬‫م‬ .......... ، .......... ، .......... ، ......... ، ........l ‫ال‬‫ـ‬‫واج‬‫ـ‬‫ب‬ ‫اكتب‬ )‫أ‬3‫عمى‬ ‫القسمة‬ ‫تقبل‬ ‫أعداد‬2،3‫ا‬ً‫مع‬: . ، ......... ، ................. ‫عمى‬ ‫القسمة‬ ‫يقبل‬ ‫ا‬ً‫عدد‬ ‫اكتب‬ )‫ب‬2،3.‫ا‬ً‫مع‬ .............. :‫ة‬‫صور‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ )‫ج‬ 4)=5)= 6)=7)= !‫معاٌا‬ ‫فكر‬ 27 10 ---- ---- ---- ---- 2 14 ---- ---- 2 71 ---- ---- 11 37 ---- ---- 124 024 ---- ---- 11 72 ---- ----
  • 3.
    3 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ :‫األولى‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫النسبة‬ ‫معنى‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫النسبة‬‫أك‬ ‫كميتيف‬ ‫بيف‬ ‫نة‬‫ر‬‫مقا‬ ‫ىي‬.‫الكحدات‬ ‫نفس‬ ‫كليما‬ ‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫عدديف‬ ‫مثال‬1:‫ىدل‬ ‫مع‬ ‫ما‬ ‫إذا‬53‫ياسميف‬ ‫ما‬ ‫كمع‬ ‫جنيو‬73.‫جنيو‬ .‫ياسميف‬ ‫مع‬ ‫كما‬ ‫ىدل‬ ‫مع‬ ‫ما‬ ‫بيف‬ ‫قارف‬ :‫الحل‬ ‫كتكتب‬4:5‫أ‬‫ر‬‫كتق‬4‫إلى‬5 ‫مثال‬2::‫ة‬‫ر‬‫صك‬ ‫أبسط‬ ‫في‬ ‫العدديف‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ 7;،97 :‫الحل‬ ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 7;:97÷(5) 57:65÷(7) 9:;÷(5) 6:7‫ة‬‫ر‬‫صك‬ ‫أبسط‬ :‫آخر‬ ‫حل‬ ‫مثال‬2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : = ‫آخر‬ ‫كعدد‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ‫تدرٌب‬1:‫العددٌن‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬49،65)‫ب‬483:783)‫ج‬67،435 ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 49:65: ............: ............ : ............: ............: ............ : ..................:......: ............ :‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬4( ‫رقم‬ )1،2،3) 53 73 5 7 ‫ىدل‬ ‫مع‬ ‫ما‬ ‫ياسميف‬ ‫مع‬ ‫ما‬=== 4 5 7; 97 = == 57 7 ‫األكؿ‬ ‫العدد‬ ‫الثاني‬ ‫العدد‬ 9 ; 6 7 = )‫انُسثح‬ ‫(يقذو‬ ‫األول‬ ‫انحذ‬ )‫انُسثح‬ ‫(تاني‬ ‫انثاَي‬ ‫انحذ‬ -------- --------
  • 4.
    0 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 5.
    2 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ ‫معنى‬ ‫على‬ ‫تمارٌن‬ :‫العددٌن‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ :‫التمهٌد‬ 49،73‫التالي‬‫ك‬ ‫المقدـ‬ ‫حدد‬ ‫ثـ‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ ‫مثال‬1:‫البنيف‬ ‫عدد‬ ‫كاف‬ ‫الفصكؿ‬ ‫أحد‬ ‫في‬48‫البنات‬ ‫كعدد‬ ‫تمميذ‬58:‫احسب‬ ،‫تمميذة‬ 4.‫البنات‬ ‫كعدد‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ) 5‫تالميذ‬ ‫كعدد‬ ‫البنات‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ).‫الفصؿ‬ ‫الحل‬ = ‫البنات‬ ‫عدد‬58‫تمميذة‬ = ‫البنيف‬ ‫عدد‬48‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬58+48=73‫ا‬‫ن‬‫ذ‬‫تممي‬ )‫أ‬‫البنيف‬ ‫عدد‬:‫البنات‬ ‫عدد‬ .....:..... .....:..... )‫ب‬‫البنات‬ ‫عدد‬:‫الفصؿ‬ ‫تالميذ‬ ‫عدد‬ .....:..... .....:..... ‫مثال‬2:‫بيف‬ ‫النسبة‬ ‫أكجد‬5.6،8.:8 ‫الحل‬ ‫األكؿ‬ ‫العدد‬:‫الثاني‬ ‫العدد‬ 5.6:8.:8 .....:..... .....:..... .....:..... .....:..... :‫التقوٌم‬‫ا‬ ‫ػدد‬‫ع‬ ‫ػاف‬‫ك‬ ‫إذا‬‫ػتركة‬‫ة‬‫الم‬ ‫ػدارس‬‫م‬‫ال‬ ‫ػدل‬‫ح‬‫إ‬ ‫ػي‬‫ف‬ ‫ػذ‬‫ي‬‫لتالم‬873‫ػدد‬‫ع‬ ‫ػاف‬‫ك‬‫ك‬ ،‫ػذة‬‫ي‬‫كتمم‬ ‫ا‬‫ن‬‫ذ‬‫ػ‬‫ي‬‫تمم‬ ‫البنيف‬738.‫ا‬‫ن‬‫ذ‬‫تممي‬ :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ 4.‫يقتيف‬‫ر‬‫بط‬ ‫البنات‬ ‫كعدد‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ )5.‫المدرسة‬ ‫كتالميذ‬ ‫البنيف‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ) .......................................................................................................................................................................... .......................................................................................................................................................................... ............................................................................................................................................................................ .............................................................................................................................................................................
  • 6.
    1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬5‫رقم‬ )4،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 7.
    2 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫النسبة‬ ‫خواص‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫الطف‬4333‫اـ‬‫ر‬‫ج‬ ‫كيمك‬= ‫اـ‬‫ر‬‫ج‬ ‫الكيمك‬4333‫اـ‬‫ر‬‫ج‬ = ‫الجنيو‬433‫قرش‬= ‫المتر‬433‫سـ‬ ‫الفداف‬–‫اط‬‫ر‬‫القي‬–‫السيـ‬‫اعية‬‫ر‬‫الز‬ ‫اضي‬‫ر‬‫األ‬ ‫مساحة‬ ‫قياس‬ ‫كحدات‬ = ‫الفداف‬57‫اط‬‫ر‬‫قي‬= ‫اط‬‫ر‬‫القي‬57‫سيـ‬ :‫النسبة‬ ‫خواص‬ ‫خاصٌة‬1:.‫نة‬‫ر‬‫المقا‬‫ك‬ ‫التبسيط‬‫ك‬ ‫االختصار‬ ‫حيث‬ ‫مف‬ ‫العادم‬ ‫الكسر‬ ‫اص‬‫ك‬‫خ‬ ‫نفس‬ ‫ليا‬ ‫النسبة‬ ‫خاصٌة‬2:.‫صحيحيف‬ ‫عدديف‬ ‫يككنا‬ ‫أف‬ ‫يجب‬ ‫النسبة‬ ‫حدا‬ ‫خاصٌة‬3:.‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫قياسيما‬ ‫كحدات‬ ‫تككف‬ ‫أف‬ ‫يجب‬ ‫بينيما‬ ‫نسبة‬ ‫لتككيف‬ ‫كميتيف‬ ‫نة‬‫ر‬‫مقا‬ ‫عند‬ ‫خاصٌة‬4:]‫تمييز‬ ‫ليا‬ ‫ليس‬ ‫[النسبة‬ ‫كحدة‬ ‫لو‬ ‫ليس‬ ‫عدد‬ ‫ع‬‫النك‬ ‫نفس‬ ‫مف‬ ‫يف‬‫ر‬‫مقدا‬ ‫بيف‬ ‫النسبة‬ ‫خاصٌة‬5:.‫تيب‬‫ر‬‫الت‬ ‫عمى‬ ‫تحافظ‬ ‫النسبة‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬:5.5‫م‬‫عةر‬ ‫عدد‬ ‫إلى‬ ‫تحكيؿ‬ 4.9:5.5×(43) 49:55 ... : ... ‫المساحتيف‬ )‫ب‬3.:8، ‫اط‬‫ر‬‫قي‬49‫سيـ‬ :‫التحوٌل‬3.:8= ‫اط‬‫ر‬‫قي‬3.:8×57=4;‫سيـ‬ ‫الثانية‬ ‫المساحة‬ : ‫األكلى‬ ‫المساحة‬ 4;:49÷(5) <:; )‫ج‬:=÷=×== :‫أن‬ ‫تذكر‬ ‫سهى‬ ٌ‫فذا‬ ‫قيراط‬ 3 21 1 7 3 0 1 7 3 0 1 7 0 3 0 1 7 3
  • 8.
    1 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫مثال‬2:‫طكلو‬ ‫مستطيؿ‬63‫كعرضو‬ ‫سـ‬4;.‫كطكلو‬ ‫المستطيؿ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫المس‬ ‫محيط‬)‫العرض‬ + ‫(الطكؿ‬ = ‫تطيؿ‬×5 ( =63+4;× )5 =7;×5=<9‫سـ‬ ‫الطكؿ‬ : ‫المستطيؿ‬ ‫محيط‬ <9:63÷(---) ... : ... ... : ... :‫التقوٌم‬ ‫المبمغيف‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬583‫جنيو‬ ، ‫قرش‬ ‫الحؿ‬ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ 1 72
  • 9.
    9 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )1،2) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 10.
    14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )3) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 11.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫النسبة‬ ‫خواص‬ ‫على‬ ‫تمارٌن‬ :‫والمصطلحات‬ ‫المفاهٌم‬ 4= ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ )5= ‫نؽ‬ ‫ط‬5π‫نؽ‬ 5‫الضمع‬ ‫طكؿ‬ = ‫األضالع‬ ‫متساكم‬ ‫المثمث‬ ‫محيط‬ )×6 :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ .......... = ‫بع‬‫ر‬‫الم‬ ‫محيط‬ )‫أ‬........................ ‫ة‬‫ر‬‫الدائ‬ ‫قطر‬ ‫طكؿ‬ )‫ب‬............................ = ‫مثال‬1:.‫ضمعو‬ ‫كطكؿ‬ ‫بع‬‫ر‬‫الم‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫إيجاد‬ ‫الحل‬ ‫الضمع‬ ‫طكؿ‬ : ‫بع‬‫ر‬‫الم‬ ‫محيط‬ ‫الضمع‬ ‫طكؿ‬×7‫الضمع‬ ‫طكؿ‬ :÷()‫الضمع‬ ‫طكؿ‬ 7:4 ‫يب‬‫ر‬‫تد‬4.‫ضمعو‬ ‫كطكؿ‬ ‫األضالع‬ ‫متساكم‬ ‫مثمث‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ : ‫الحؿ‬ ........................................................................................ ........................................................................................ ‫مثال‬2:.‫ىا‬‫قطر‬ ‫نصؼ‬ ‫كطكؿ‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫إيجاد‬ ‫الحل‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬:‫القطر‬ ‫نصؼ‬ ‫طكؿ‬ 5: ‫نؽ‬ ‫ط‬‫نؽ‬÷()‫نؽ‬ 5‫ط‬:4 ‫تدرٌب‬2:.‫ىا‬‫قطر‬ ‫كطكؿ‬ ‫ة‬‫ر‬‫الدائ‬ ‫محيط‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ :‫أن‬ ‫تذكر‬
  • 12.
    17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫مثال‬3:‫مساحتو‬ ‫مستطيؿ‬65‫سـ‬5‫كعرضو‬7:‫أكجد‬ .‫سـ‬ .‫المستطيؿ‬ ‫طكؿ‬ )‫أ‬.‫كطكلو‬ ‫المستطيؿ‬ ‫عرض‬ ‫بيف‬ ‫النسبة‬ )‫ب‬ ‫الحل‬ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ ........................................................................................ :‫التقوٌم‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫س‬ 4= ‫كمحيطو‬ ‫بع‬‫ر‬‫م‬ ‫ضمع‬ ‫طكؿ‬ ‫بيف‬ ‫النسبة‬ )... : ... 5= ‫بع‬‫ر‬‫م‬ ‫في‬ ‫ضمعيف‬ ‫طكلي‬ ‫بيف‬ ‫النسبة‬ )... : ... 6... : ... = ‫كمحيطيا‬ ‫ة‬‫ر‬‫الدائ‬ ‫قطر‬ ‫نصؼ‬ ‫بيف‬ ‫النسبة‬ )
  • 13.
    13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬6( ‫رقم‬ )4،5) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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  • 14.
    10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬7( ‫رقم‬ )6،7،8) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 15.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫وخواصها‬ ‫النسبة‬ ‫على‬ ‫متنوعة‬ ‫تدرٌبات‬ ‫بٌن‬ ‫النسبة‬ ‫أوجد‬ :‫التمهٌد‬، :÷ = : = × == = =4:5 ‫اال‬‫ا‬‫مث‬1:‫ػي‬‫ػ‬‫ى‬ ‫ػد‬‫ػ‬‫م‬‫أح‬ ‫ككزف‬ ‫ػاني‬‫ػ‬‫ى‬ ‫كزف‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬8:9‫ػاف‬‫ػ‬‫ك‬‫ك‬‫ػد‬‫ػ‬‫م‬‫أح‬ ‫كزف‬:5‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫ج‬‫ك‬ .‫ىاني‬ ‫كزف‬ ‫الحل‬ ‫أحمد‬ ‫كزف‬ : ‫ىاني‬ ‫كزف‬ 8:9‫اء‬‫ز‬‫األج‬ ::5‫الحقيقية‬ ‫القيمة‬ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬:5÷9=45‫كجـ‬ = ‫ىاني‬ ‫كزف‬45×8=93‫كجـ‬ ‫مثال‬2:‫تالميذىا‬ ‫عدد‬ ‫مةتركة‬ ‫مدرسة‬873‫تممي‬‫ػي‬‫ى‬ ‫ػات‬‫ن‬‫الب‬ ‫ػدد‬‫ع‬‫ك‬ ‫ػيف‬‫ن‬‫الب‬ ‫عدد‬ ‫بيف‬ ‫النسبة‬ ‫ككانت‬ ،‫ا‬‫ن‬‫ذ‬ 7:8.‫البنيف‬ ‫كعدد‬ ‫البنات‬ ‫عدد‬ ‫احسب‬ . ‫الحل‬ ‫ع‬‫المجمك‬ : ‫البنات‬ ‫عدد‬ : ‫البنيف‬ ‫عدد‬ 7:8:<‫اء‬‫ز‬‫األج‬ ::873‫الحقيقية‬ ‫القيمة‬ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬873÷<=93‫ا‬‫ن‬‫ذ‬‫تممي‬ ‫عدد‬= ‫البنيف‬7×93=573‫تمميذ‬ = ‫البنات‬ ‫عدد‬8×93=633‫تمميذة‬ = ‫ع‬‫المجمك‬ = ‫التأكيد‬573+633=873‫ا‬‫ن‬‫ذ‬‫تممي‬ :‫تدرٌب‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫كن‬ )‫ػياـ‬‫ػ‬‫ػ‬‫س‬( ‫كزف‬ ‫ػى‬‫ػ‬‫ػ‬‫ل‬‫إ‬ )‫ػامية‬‫ػ‬‫ػ‬‫س‬( ‫كزف‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬::8، ‫نييما‬‫ز‬‫ك‬ ‫بيف‬ ‫الفرؽ‬ ‫ككاف‬<.9.‫منيما‬ ‫كؿ‬ ‫كزف‬ ‫أكجد‬ .‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ‫س‬ ‫كزف‬ : ‫سامية‬ ‫كزف‬......... : ‫ياـ‬ ............. : ............ : ............ ............. : ............ : ............ 3 01 1 73 ( =1×0+ )3) = 1 73 3 01 2 0 3 01 2 0 2 7 2 0 2 7 2 0 7 2 10 71 1 7 !‫معاٌا‬ ‫فكر‬
  • 16.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬8‫رقم‬ )1،2،5 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 17.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫وخواصها‬ ‫النسبة‬ ‫على‬ ‫متنوعة‬ ‫تدرٌبات‬ ‫على‬ ‫تمارٌن‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫التمهٌد‬ = ‫الساعة‬93‫دقيقة‬= ‫اليكـ‬57‫ساعة‬ ..................................... = ‫المستطيؿ‬ ‫محيط‬ ‫تمرٌن‬1:‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : )‫أ‬;‫يكماف‬ ، ‫ساعات‬)‫ب‬4;،9.6 ‫الحل‬‫الحل‬ ....... = ‫يكماف‬......................................................... .......................................................................... .......................................................................... .......................................................................... ‫تمرٌن‬2:‫بعدييا‬ ‫بيف‬ ‫النسبة‬ ‫الةكؿ‬ ‫مستطيمة‬ ‫أرض‬ ‫قطعة‬7::‫محيطيا‬ ‫ككاف‬ ،77.‫متر‬ .‫األرض‬ ‫مساحة‬ ‫أكجد‬ )‫العرض‬ + ‫(الطكؿ‬×5 ‫المحيط‬ : ‫الثاني‬ ‫البعد‬ : ‫األكؿ‬ ‫البعد‬ 7:::55 :77 .... = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬........................................................ .................................................................... = ‫األكؿ‬ ‫البعد‬ .................................................................... = ‫الثاني‬ ‫البعد‬ ................... = ‫المساحة‬.................................................... :‫التقوٌم‬ ‫تفاعيما‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫تاف‬‫ر‬‫عما‬7::‫ىك‬ ‫تفاعيما‬‫ر‬‫ا‬ ‫بيف‬ ‫الفرؽ‬ ‫ككاف‬ ،<.‫منيما‬ ‫كؿ‬ ‫تفاع‬‫ر‬‫ا‬ ‫أكجد‬ .‫متر‬ ‫الحل‬ ....................................................................... ....................................................................... .......................................................................
  • 18.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬8‫رقم‬ )3،4،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 19.
    19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫أعداد‬ ‫ثالثة‬ ‫بٌن‬ ‫النسبة‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫التمهٌد‬ 4... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫نصؼ‬ ‫أ‬ ‫كانت‬ ‫إذا‬ ) 5... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫ضعؼ‬ ‫أ‬ ‫كانت‬ ‫إذا‬ ) ‫مثااال‬1:‫األكؿ‬ ‫ػدفع‬‫ػ‬‫ػ‬‫ف‬ ،‫ة‬‫ر‬‫ػا‬‫ػ‬‫ج‬‫ت‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػخاص‬‫ػ‬‫ػ‬‫ة‬‫أ‬ ‫ػة‬‫ػ‬‫ث‬‫ثال‬ ‫ػترؾ‬‫ػ‬‫ػ‬‫ة‬‫ا‬733‫ػاني‬‫ػ‬‫ث‬‫ال‬ ‫ػع‬‫ػ‬‫ػ‬‫ف‬‫كد‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬933،‫ػو‬‫ػ‬‫ػ‬‫ي‬‫جن‬ ‫الثالث‬ ‫كدفع‬4333.‫جنيو‬ ‫أكجد‬.‫ا‬‫ك‬‫دفع‬ ‫ما‬ ‫بيف‬ ‫النسبة‬ : ‫الحل‬ ‫الثالث‬ ‫دفعو‬ ‫ما‬ : ‫الثاني‬ ‫دفعو‬ ‫ما‬ : ‫األكؿ‬ ‫دفعو‬ ‫ما‬ 733:933:4333÷(433) 7:9:43÷(5) 5:6:8 ‫مثال‬2:= ‫ب‬ : ‫أ‬ ‫كاف‬ ‫إذا‬ ،‫ػ‬‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫أعداد‬ ‫ثالثة‬7:6= ‫ػ‬‫ح‬ : ‫ب‬ ‫بيف‬ ‫النسبة‬‫ك‬ ،5:6. ‫ػ‬‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ 7:6... : : ..5:6 .. : .. : .. ‫تدرٌب‬1:‫بٌن‬ ‫النسبة‬ ‫أوجد‬ : 3.8، ،3.458 ‫الحل‬ 3.8::3.458 ............................................. ............................................. ............................................. :‫التقوٌم‬ = ‫ب‬ : ‫أ‬ ‫كانت‬ ‫إذا‬5:6= ‫ػ‬‫ح‬ : ‫ب‬ ،9:8‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ :‫أكجد‬ . ‫الحل‬ ‫أ‬‫ب‬ :‫ػ‬‫ح‬ : ... : ... : ... ... : ... : ... ... : ... : ... 1 0 1 0
  • 20.
    74 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫ر‬ )‫قم‬2،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 21.
    71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫أعداد‬ ‫ثالثة‬ ‫بٌن‬ ‫النسبة‬ ‫على‬ ‫تمارٌن‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4... : ... = ‫ب‬ : ‫أ‬ ‫فإف‬ ،‫ب‬ ‫ثمث‬ ‫أ‬ ‫كاف‬ ‫إذا‬ ) 5= ‫ب‬ : ‫أ‬ ‫كاف‬ ‫إذا‬ )8:9= ‫ػ‬‫ح‬ : ‫ب‬ ،;:<... : ... : ... = ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ :‫فإف‬ ، ‫الحؿ‬ ..................................... ..................................... ..................................... ..................................... ‫تمرٌن‬1:‫كعمي‬ ‫أحمد‬ ‫بيف‬ ‫الماؿ‬ ‫مف‬ ‫مبمغ‬ ‫ع‬‫كز‬‫ػبة‬‫س‬‫بن‬ ‫ػارؽ‬‫ط‬‫ك‬5:8:6‫ػد‬‫ي‬‫ز‬‫ي‬ ‫ػي‬‫م‬‫ع‬ ‫ػع‬‫م‬ ‫ػا‬‫م‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، ‫بمقدار‬ ‫أحمد‬ ‫مع‬ ‫ما‬ ‫عف‬78.‫الكمي‬ ‫المبمغ‬ ‫ككذلؾ‬ ،‫منيـ‬ ‫كؿ‬ ‫مع‬ ‫ما‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ‫ارٌن‬‫ا‬‫تم‬2:‫ػي‬‫ػ‬‫ى‬ ‫ػث‬‫ػ‬‫م‬‫المث‬ ‫ػا‬‫ػ‬‫ي‬‫ا‬‫ك‬‫ز‬ ‫ػات‬‫ػ‬‫س‬‫قيا‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػبة‬‫ػ‬‫س‬‫الن‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬8:9::‫ػك‬‫ػ‬‫ن‬‫ك‬ ‫ػة‬‫ػ‬‫ي‬‫اك‬‫ز‬ ‫ػؿ‬‫ػ‬‫ك‬ ‫ػاس‬‫ػ‬‫ي‬‫ق‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ع‬ .‫اياه‬‫ك‬‫ز‬ ‫لقياس‬ ‫بالنسبة‬ ‫المثمث‬ ‫الحل‬ ..................................... ..................................... ..................................... ..................................... ..................................... ‫زوايا‬ ‫قياساخ‬ ‫يجًىع‬ = ‫انًثهث‬114ِ ‫أن‬ ‫تذكر‬
  • 22.
    77 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫تمرٌن‬3:‫ح‬ ، ‫ب‬ ، ‫أ‬ ‫كانت‬ ‫إذا‬= ‫أ‬ ‫ككانت‬ ،‫ب‬ = ‫أ‬ ‫كانت‬ ‫إذا‬ ،‫أعداد‬ ‫ثالثة‬ ‫ػ‬.‫ػ‬‫ح‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ ‫الحؿ‬ ‫ػ‬‫ح‬ : ‫ب‬ : ‫أ‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... ‫تمرٌن‬4:‫ىي‬ ‫أضالعو‬ ‫اؿ‬‫ك‬‫أط‬ ‫بيف‬ ‫النسبة‬ ‫مثمث‬5:6:7‫محيطو‬ ‫كاف‬ ‫فإذا‬ ،87‫اؿ‬‫ك‬‫ػ‬‫ط‬‫أ‬ ‫ػب‬‫س‬‫اح‬ .‫سـ‬ .‫أضالعو‬ ‫الحؿ‬ ..................................... ..................................... ..................................... ..................................... ..................................... ..................................... 2 3 14 3
  • 23.
    73 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫رقم‬ )1،3،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 24.
    70 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬9‫رقم‬ )1،3،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 25.
    72 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫تط‬]‫[المعدل‬ ‫النسبة‬ ‫على‬ ‫بٌقات‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫المعدل‬‫مختمفيف‬ ‫نكعيف‬ ‫مف‬ ‫كميتيف‬ ‫بيف‬ ‫النسبة‬‫ػؿ‬‫ك‬‫ل‬ ‫ػى‬‫ل‬‫األك‬ ‫ػة‬‫ي‬‫الكم‬ ‫ػدات‬‫ح‬‫ك‬ ‫ػدد‬‫ع‬ ‫ػي‬‫ى‬ ‫ػاس‬‫ي‬‫ق‬ ‫كحدة‬ ‫كلممعدؿ‬ .‫الثانية‬ ‫الكمية‬ ‫مف‬ ‫كحدة‬ ‫مثاؿ‬4‫ينتج‬ ‫مصنع‬ :6333‫في‬ ‫لمبة‬7.‫المصنع‬ ‫ليذا‬ ‫اإلنتاج‬ ‫معدؿ‬ ‫أكجد‬ .‫ساعات‬ ‫الحل‬ = ‫المعدؿ‬=:83‫ساعة‬ / ‫لمبة‬ ‫أ‬‫ر‬‫[كتق‬:83]‫ساعة‬ ‫لكؿ‬ ‫لمبة‬ ‫تدرٌب‬1:‫ة‬‫ر‬‫سيا‬ ‫تستيمؾ‬83‫ػافة‬‫س‬‫م‬ ‫ػع‬‫ط‬‫لق‬ ‫يف‬‫ز‬‫ػ‬‫ن‬‫الب‬ ‫ػف‬‫م‬ ‫ػر‬‫ت‬‫ل‬683‫ػتيالؾ‬‫س‬‫ا‬ ‫ػدؿ‬‫ع‬‫م‬ ‫ػب‬‫س‬‫اح‬ .‫ػر‬‫ت‬‫م‬ ‫ػك‬‫م‬‫كي‬ .‫يف‬‫ز‬‫لمبن‬ ‫ة‬‫ر‬‫السيا‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تدرٌب‬2:‫تنتج‬ ‫األكلى‬ ،‫ماكينتاف‬6333‫في‬ ‫القماش‬ ‫مف‬ ‫متر‬7‫تنتج‬ ‫الثانية‬‫ك‬ ،‫ساعات‬5853‫ػي‬‫ف‬ ‫ػر‬‫ت‬‫م‬6 .‫كفاءة‬ ‫أكثر‬ ‫أييما‬ .‫كنصؼ‬ ‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... :‫التقوٌم‬ 4‫ينتج‬ ‫مصنع‬ )8333‫في‬ ‫عصير‬ ‫عمبة‬;.‫اإلنتاج‬ ‫معدؿ‬ ‫احسب‬ .‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... 5‫مسافة‬ ‫تقطع‬ ‫ة‬‫ر‬‫سيا‬ )583‫في‬ ‫متر‬ ‫كيمك‬8.‫المتكسطة‬ ‫عة‬‫السر‬ ‫أكجد‬ .‫ساعات‬ ‫الحل‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. 3444‫نًثح‬ 0‫ساعاخ‬
  • 26.
    71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬15) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 27.
    72 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫األولى‬ ‫الوحدة‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ ‫تمرٌن‬1::‫بيف‬ ‫النسبة‬ ‫أكجد‬ )‫أ‬4:5.5‫المساحتيف‬ )‫ب‬3.:8، ‫اط‬‫ر‬‫قي‬49‫سيـ‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ‫المبمغيف‬ )‫ج‬583: ‫قرش‬:‫جنيو‬)‫د‬8÷47.8... = ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ ‫تمرٌن‬2:‫مبمغ‬ ‫قسـ‬483.‫الثاني‬ ‫نصيب‬ = ‫األكؿ‬ ‫نصيب‬ ‫يككف‬ ‫بحيث‬ ‫ةخصيف‬ ‫بيف‬ ‫جنيو‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تمرٌن‬3:‫منى‬ ‫ككزف‬ ،‫منى‬ ‫كزف‬ = ‫آية‬ ‫كزف‬ ‫كاف‬ ‫إذا‬.‫أركل‬ ‫كزف‬ ‫بمقدار‬ ‫آية‬ ‫كزف‬ ‫عمى‬ ‫يد‬‫ز‬‫ي‬ ‫أركل‬ ‫كزف‬ ‫كاف‬ ‫إذا‬ ‫منيـ‬ ‫كؿ‬ ‫كزف‬ ‫فأكجد‬57.‫اـ‬‫ر‬‫كيمكج‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ‫تمرٌن‬4:‫ػبة‬‫س‬‫كن‬ ‫ػيا‬‫ض‬‫عر‬ ‫ػى‬‫ل‬‫إ‬ ‫ػا‬‫ي‬‫طكل‬ ‫ػيف‬‫ب‬ ‫ػبة‬‫س‬‫الن‬ ‫الةكؿ‬ ‫مستطيمة‬ ‫أرض‬ ‫قطعة‬8:6‫ػا‬‫ي‬‫محيط‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، 97.‫األرض‬ ‫قطعة‬ ‫مساحة‬ ‫أكجد‬ .‫متر‬ ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... 3 2 1 7 9 0 7 3 3 0 7 3
  • 28.
    71 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬14‫رقم‬ )1،4 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 29.
    79 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التناسب‬ :‫الثانٌة‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫التناسب‬ ‫معنى‬ :‫والمصطلحات‬ ‫المفاهٌم‬:‫التناسب‬‫أك‬ ‫نسبتيف‬ ‫تساكم‬ ‫ىك‬.‫أكثر‬ :‫التمهٌد‬:‫يأتي‬ ‫ما‬ ‫أكمؿ‬ 4)== 5)== ‫مثال‬1::‫اآلتي‬ ‫الجدكؿ‬ ‫أكمؿ‬ )‫أ‬= = ×9 )‫ب‬;= = × = ÷45 :‫أن‬ ‫ٌنتج‬ ‫الجدول‬ ‫من‬ == ‫األعداد‬ ‫كتعتبر‬6،5،<،9،45،;‫متن‬ ‫أعداد‬‫اسبة‬ ‫تدرٌب‬1:ً‫اآلت‬ ‫التناسب‬ ‫أكمل‬ : )‫أ‬= = = = = )‫ب‬ 3 7 --- 1 --- 72 0 3 11 3 --- 71 6<--48-- 5--;--45 ×7 3 ÷7 3 9 1 7 3 11 3 7 3 1 1 3 7 70 3 3 7 9 1 --- 1 0 3 17 11 74 3 17 9 0
  • 30.
    34 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬16) ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 31.
    31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫التناسب‬ ‫خواص‬ :‫والمصطلحات‬ ‫المفاهٌم‬:‫التناسب‬ ‫خواص‬ ‫خاصٌة‬1::‫يمي‬ ‫كما‬ ‫احدة‬‫ك‬ ‫نسبة‬ ‫بمعمكمية‬ ‫تناسب‬ ‫تككيف‬ ‫يمكف‬ -.)‫(تناسب‬ ‫األكلى‬ ‫النسبة‬ = ‫الناتجة‬ ‫النسبة‬ ‫فإف‬ ‫ا‬‫ن‬‫صفر‬ ‫يساكم‬ ‫ال‬ ‫عدد‬ ‫في‬ ‫النسبة‬ ‫دم‬ ‫ضرب‬ -‫النس‬ ‫فإف‬ ،‫ا‬‫ن‬‫صفر‬ ‫يساكم‬ ‫ال‬ ‫عدد‬ ‫عمى‬ ‫النسبة‬ ‫حدم‬ ‫قسمة‬ ‫عند‬.)‫(تناسب‬ ‫األكلى‬ ‫النسبة‬ = ‫الناتجة‬ ‫بة‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : 4)=5= ) ‫الحؿ‬ 4)=5)= ‫مثال‬2:‫وأكمل‬ ‫الحظ‬ : = )‫أ‬ ‫الحظ‬ 6،8،45،53 6×53=93)‫الطرفيف‬ ‫ضرب‬ ‫(حاصؿ‬ 8×45=93‫ض‬ ‫(حاصؿ‬)‫الكسطيف‬ ‫رب‬ ‫خاصٌة‬2:‫الطرفيف‬ ‫ضرب‬ ‫حاصؿ‬ = ‫الكسطيف‬ ‫ضرب‬ ‫حاصؿ‬ ‫مثال‬3:ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫أوجد‬ : = )‫أ‬، ‫س‬ )‫ب‬:،57،89 ‫الحل‬‫الحل‬ = ‫س‬= = ‫س‬453= ‫س‬ = ‫س‬6 3 2 173 71 1 17 3 274 ×0 ×0 2 ÷3 ÷3 1 3 71 3 2 17 74 ٍ‫انىسطي‬ ٍ‫انطرفي‬ 3 70 12 ‫ش‬ 70×12 3 ‫ش‬ 2 70 21 2×70 21
  • 32.
    37 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫مثال‬4:‫اآلتٌة‬ ‫لألعداد‬ ‫المتناسب‬ ‫الثالث‬ ‫الحد‬ ‫أوجد‬ : 4.;،4.8،6 ‫الحؿ‬ 4.;،4.8، ‫س‬ ،6 = = = ‫س‬ = ‫س‬6.9 ‫تدرٌب‬1:‫لألعداد‬ ‫المتناسب‬ ‫الرابع‬ ‫قٌمة‬ ‫أوجد‬ : 9،7.;،48 ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬17‫رقم‬ )1،2 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 1.1 1.2 ‫ش‬ 3 1.1×3 1.2 2.0 1.2
  • 33.
    33 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التناسب‬ ‫خواص‬ ‫تابع‬ :ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫أوجد‬ :‫التمهٌد‬ 4)=3.; ‫الحل‬ = + ‫س‬6=7 = ‫س‬7–6 = ‫س‬4 ‫مثال‬1:‫يمزـ‬ ‫تيف‬ ‫بى‬‫ر‬‫م‬ ‫لعمؿ‬ ‫نحتاج‬7.;‫إلى‬ ‫السكر‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬9.‫أكجد‬ .‫التيف‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ 4‫إلى‬ ‫يضاؼ‬ ‫السكر‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫كـ‬ )48‫التيف؟‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ 5‫إلى‬ ‫تضاؼ‬ ‫التيف‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫كـ‬ )47.7‫السكر؟‬ ‫مف‬ ‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ‫التيف‬ ‫كزف‬948 ‫السكر‬ ‫كزف‬7.;‫س‬ ‫كز‬= = )‫(س‬ ‫التيف‬ ‫ف‬4;‫اـ‬‫ر‬‫كيمكج‬ :‫تدرٌب‬ ‫إلى‬ ‫ة‬‫ر‬‫سيا‬ ‫تحتاج‬47‫ػافة‬‫س‬‫م‬ ‫ػع‬‫ط‬‫لق‬ ‫يف‬‫ز‬‫ػ‬‫ن‬‫الب‬ ‫ػف‬‫م‬ ‫لتر‬4:8‫إذا‬ ‫ة‬‫ر‬‫ػيا‬‫س‬‫ال‬ ‫ػا‬‫ي‬‫تقطع‬ ‫ػر‬‫ت‬‫م‬ ‫ػك‬‫م‬‫كي‬ ‫ػـ‬‫ك‬ .‫ػكمتر‬‫م‬‫كي‬ ‫استخدمت‬53.‫يف‬‫ز‬‫بن‬ ‫لتر‬ ‫الحل‬ ‫المسافة‬4:8‫س‬ ‫ات‬‫ر‬‫المت‬ ‫عدد‬4753 = = )‫(س‬ ‫المسافة‬583‫كيمكمتر‬ + ‫ش‬3 2 + ‫ش‬2 2 1 14 10.0×1 0.1 122×74 10
  • 34.
    30 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ 1‫أو‬ ):ً‫اآلت‬ ‫التناسب‬ ً‫ف‬ ‫س‬ ‫قٌمة‬ ‫جد‬ = ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... ......................................................................................................................................................... 5‫ػا‬‫ػ‬‫ي‬‫تفاع‬‫ر‬‫ا‬ ‫ػة‬‫ػ‬‫ي‬‫ابتدائ‬ ‫ػة‬‫ػ‬‫س‬‫مدر‬ )47‫ػا‬‫ػ‬‫م‬ ‫ػة‬‫ػ‬‫ظ‬‫لح‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػا‬‫ػ‬‫ي‬‫ظم‬ ‫ػكؿ‬‫ػ‬‫ط‬‫ك‬ ‫ا‬‫ن‬‫ػر‬‫ػ‬‫ت‬‫م‬8‫ة‬‫ر‬‫ػج‬‫ػ‬‫ة‬ ‫ػاع‬‫ػ‬‫ف‬‫ت‬‫ر‬‫ا‬ ‫ػكف‬‫ػ‬‫ك‬‫ي‬ ‫ػـ‬‫ػ‬‫ك‬‫ف‬ .‫ا‬‫ن‬‫ػر‬‫ػ‬‫ت‬‫م‬ ‫ظميا‬ ‫طكؿ‬6.‫المحظة‬ ‫نفس‬ ‫في‬ ‫متر‬ ‫الحل‬ .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... ......................................................................................................................................................... ‫ا‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫لواجب‬17‫رقم‬ )3،4،5،6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 7‫ش‬ 17 2 7
  • 35.
    32 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫الرسم‬ ‫مقٌاس‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫الرسـ‬ ‫مقياس‬ :‫التمهٌد‬ = ‫الكيمكمتر‬4333‫متر‬،= ‫المتر‬433‫سـ‬،= ‫الكيمكمتر‬433333‫سـ‬ ‫مثاؿ‬4‫ما‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫ة‬‫ر‬‫القاى‬ ‫ج‬‫بر‬ ‫تفاع‬‫ر‬‫ا‬ ‫كاف‬ ‫إذا‬ :45‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬4;3.‫متر‬ ‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬.‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫ة‬‫ر‬ ‫الحل‬ :ً‫ال‬‫أو‬‫ما‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫ة‬‫ر‬‫القاى‬ ‫ج‬‫بر‬ ‫تفاع‬‫ر‬‫ا‬ ‫التحكيؿ‬45‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬4;3.‫متر‬ .‫الحقيقي‬ ‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫ة‬‫ر‬‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ ‫بيف‬ ‫النسبة‬ ‫أكجد‬ ‫الحل‬ ‫بالسم‬ ‫البرج‬ ‫ارتفاع‬ :‫التحوٌل‬ :ً‫ال‬‫أو‬ 4;3= ‫متر‬4;3×433=4;333‫سـ‬ ‫ة‬‫ر‬‫الصك‬ ‫في‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬‫الحقيقي‬ ‫ج‬‫البر‬ ‫تفاع‬‫ر‬‫ا‬ : 45:4;333÷(9) 5:6333÷(5) 4:4833 :‫أف‬ ‫أم‬=.‫الرسـ‬ ‫مقياس‬ ‫عف‬ ‫يعبر‬ ‫بالكسر‬ ‫كىذا‬ :‫الرسم‬ ‫مقٌاس‬ ‫حاالت‬ > ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ *4‫تكبير‬ ‫يككف‬ *< ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬4‫تصغير‬ ‫يككف‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ ‫أن‬ ‫تذكر‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 1 1244
  • 36.
    31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫مثال‬2: ‫مدينتيف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬:8‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫ككانت‬ ‫كيمكمتر‬48.‫سـ‬ .‫يعني‬ ‫كماذا‬ .‫يطة‬‫ر‬‫الخ‬ ‫ليذه‬ ‫الرسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬:8×433333=:833333‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ ‫مقياس‬= ‫الرسـ‬= :ً‫ٌعن‬ ‫وهذا‬ ‫يمثؿ‬ ‫الرسـ‬ ‫في‬ ‫اسـ‬ ‫كؿ‬ ‫أف‬833333.‫الحقيقة‬ ‫في‬ ‫سـ‬ :‫أن‬ ‫الحظ‬‫الرسـ‬ ‫مقياس‬ ‫في‬ ‫التحكيالت‬ ‫أىـ‬ ‫متر‬ ‫كيمك‬‫سـ‬ ‫متر‬‫سـ‬ ‫مـ‬‫سـ‬ ‫الواجب‬ 4‫ب‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬ )‫ػك‬‫ب‬‫أم‬ ‫ػكـ‬‫ك‬‫ك‬ ‫اف‬‫ك‬‫أس‬ ‫يف‬73‫الخر‬ ‫ػى‬‫م‬‫ع‬ ‫ػا‬‫م‬‫بيني‬ ‫ػافة‬‫س‬‫الم‬‫ك‬ ،‫ا‬‫ن‬‫ػكمتر‬‫م‬‫كي‬‫ػة‬‫ط‬‫ي‬43‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ .‫يعني‬ ‫كماذا‬ ‫يطة‬‫ر‬‫الخ‬ ‫ليذه‬ ‫الرسـ‬ ‫مقياس‬ ‫الحل‬ ................................................................................................................. ................................................................................................................. 2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ) )‫أ‬6.8‫سـ‬ ..... = ‫كيمكمتر‬ .................... = ‫الرسـ‬ ‫مقياس‬ )‫ب‬ ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 12 2244444 1 244444 ×144444 ×144 ÷14
  • 37.
    32 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ‫مقٌاس‬ ‫تابع‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4< ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ )4.................. ‫يككف‬ 5> ‫الرسـ‬ ‫مقياس‬ ‫كاف‬ ‫إذا‬ )4............. ‫يككف‬...... 6)48‫سـ‬ .... = ‫كيمكمتر‬ ‫تمرٌن‬1:‫طكلو‬ ‫اعي‬‫ر‬‫ز‬ ‫يؽ‬‫ر‬‫ط‬5.8‫يمثؿ‬ ‫طكلو‬ ‫فكاف‬ ،‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫ظير‬ ،‫كيمكمتر‬47.‫سـ‬ .‫يعني‬ ‫كماذا‬ ‫يطة‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ ............................... = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬ ....................................... = ‫الرسـ‬ ‫مقياس‬ ........................................................ ‫مثال‬1:‫الحقيقي‬ ‫طكليا‬ ‫ة‬‫ر‬‫حة‬ ‫تكبير‬ ‫تـ‬ ‫ة‬‫ر‬‫مكب‬ ‫عدسة‬ ‫باستخداـ‬7‫التكبير‬ ‫بعد‬ ‫طكليا‬ ‫ككاف‬ ،‫مـ‬9.‫سـ‬ .)‫الرسـ‬ ‫(مقياس‬ ‫التكبير‬ ‫نسبة‬ ‫احسب‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬7÷43=3.7‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ == = ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انح‬ ‫انطىل‬‫قيقي‬ 1 4.0 14 0 12 1
  • 38.
    31 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫عمى‬ ‫ية‬‫ر‬‫اإلسكند‬‫ك‬ ‫ة‬‫ر‬‫القاى‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬6.8‫أف‬ ‫ػت‬‫م‬‫عم‬ ‫إذا‬ ‫ػـ‬‫س‬‫الر‬ ‫ػاس‬‫ي‬‫مق‬ ‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ ‫بينيما‬ ‫المسافة‬543.‫كيمكمتر‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. ‫الواجب‬ 4‫ػي‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ة‬‫ح‬ ‫ػر‬‫ػ‬‫ػ‬‫ي‬‫تكب‬ ‫ػـ‬‫ػ‬‫ػ‬‫ت‬ ‫ة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ب‬‫مك‬ ‫ػة‬‫ػ‬‫ػ‬‫س‬‫عد‬ ‫ػتخداـ‬‫ػ‬‫ػ‬‫س‬‫با‬ )8‫ػر‬‫ػ‬‫ػ‬‫ي‬‫التكب‬ ‫ػد‬‫ػ‬‫ػ‬‫ع‬‫ب‬ ‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ‫ػر‬‫ػ‬‫ػ‬‫ت‬‫ممميم‬ 43.‫التكبير‬ ‫نسبة‬ ‫احسب‬ .‫سـ‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 5)‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ك‬‫ك‬ ‫ػكيس‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫س‬‫ر‬;.9‫ػي‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ك‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬4:5 .‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ .‫كيمكمتر‬ ‫الحل‬ ................................................................................. ................................................................................. .................................................................................
  • 39.
    39 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الحقٌق‬ ‫الطول‬ ‫إٌجاد‬ :‫التمهٌد‬‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬78‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫ككانت‬ ‫كيمكمتر‬6.‫سـ‬ .‫الرسـ‬ ‫مقياس‬ ‫أكجد‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. ‫اال‬‫ا‬‫مث‬1:‫ا‬ ‫ػي‬‫ػ‬‫ف‬‫ا‬‫ر‬‫جغ‬ ‫ػكر‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫م‬‫ػر‬‫ػ‬‫ح‬‫الب‬ ‫ػو‬‫ػ‬‫ج‬‫لك‬4:4333333‫ػديف‬‫ػ‬‫م‬‫ب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫فكا‬ ، 68.‫ات‬‫ر‬‫بالكيمكمت‬ ‫البمديف‬ ‫بيف‬ ‫البعد‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ = ‫الرسـ‬ ‫مقياس‬ = = ‫الحقيقي‬ ‫الطكؿ‬=68333333‫سـ‬ = ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫الطكؿ‬68333333÷433333=683‫كيمكمتر‬ ‫اادرٌب‬‫ا‬‫ت‬1:‫ػم‬‫ػ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػكيس‬‫ػ‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ت‬4:833333‫ػى‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػاة‬‫ػ‬‫ػ‬‫ن‬‫الق‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ، ‫يطة‬‫ر‬‫الخ‬67.9.‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫الطكؿ‬ ‫أكجد‬ .‫سـ‬ ‫الحؿ‬ ................................................................................. ................................................................................. ................................................................................. :‫اوٌم‬‫ا‬‫التق‬‫ػك‬‫ػ‬‫ى‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬‫بال‬ ‫ػـ‬‫ػ‬‫س‬‫الر‬ ‫ػاس‬‫ػ‬‫ي‬‫مق‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػث‬‫ػ‬‫ي‬‫ح‬ ‫ػكنية‬‫ػ‬‫س‬‫ال‬ ‫ات‬‫ر‬‫ػا‬‫ػ‬‫م‬‫الع‬ ‫ػدل‬‫ػ‬‫ح‬‫إل‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬ ‫ػاط‬‫ػ‬‫ق‬‫الت‬ ‫ػـ‬‫ػ‬‫ت‬4333:4. ‫فإذا‬‫ىك‬ ‫ة‬‫ر‬‫بالصك‬ ‫السكنية‬ ‫ة‬‫ر‬‫العما‬ ‫تفاع‬‫ر‬‫ا‬ ‫كاف‬6‫تفا‬‫ر‬‫ا‬ ‫فما‬ .‫سـ‬.‫الحقيقة‬ ‫في‬ ‫عيا‬ ‫الحل‬ ................................................................................. ................................................................................. ‫انرسى‬ ‫في‬ ‫انطىل‬ ‫انحقيقي‬ ‫انطىل‬ 1 1444444 32 ‫انحقيقي‬ ‫انطىل‬ 1444444×32 1
  • 40.
    04 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬ 4‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػاحة‬‫ػ‬‫س‬‫الم‬ ‫ػمحة‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬ُ‫ت‬ )4:53333‫بالم‬ ‫ع‬‫ػار‬‫ػ‬‫ة‬ ‫ػر‬‫ػ‬‫ي‬‫ظ‬ ‫ػإذا‬‫ػ‬‫ف‬ ،‫ائط‬‫ر‬‫ػ‬‫ػ‬‫خ‬‫ال‬ ‫ػدل‬‫ػ‬‫ح‬‫إ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫ن‬ ‫بطكؿ‬:.‫باألمتار‬ ‫ع‬‫الةار‬ ‫ىذا‬ ‫طكؿ‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 5‫رسـ‬ ‫بمقياس‬ ‫مرسكمة‬ ‫يطة‬‫ر‬‫خ‬ )6:;33333‫عمييا‬ ‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫فإذا‬ ،45.‫سـ‬ ‫الحقيقية‬ ‫المسافة‬ ‫أكجد‬.‫البمديف‬ ‫بيف‬ ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحل‬ ................................................................................. ................................................................................. ................................................................................. 3‫(ص‬ ‫المدرسة‬ ‫كتاب‬ )23‫رقم‬ )3 ................................................................................. ................................................................................. .................................................................................
  • 41.
    01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ً‫ف‬ ‫الطول‬ ‫إٌجاد‬ :‫التمهٌد‬ ‫بم‬ ‫ػا‬‫ى‬‫تكبير‬ ‫ػد‬‫ع‬‫ب‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫ح‬ ‫رسمت‬‫ػـ‬‫س‬‫ر‬ ‫ػاس‬‫ي‬‫ق‬83:4‫ػـ‬‫س‬‫الر‬ ‫ػي‬‫ف‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫الح‬ ‫ػكؿ‬‫ط‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ،63‫ػد‬‫ج‬‫أك‬ .‫ػـ‬‫س‬ .‫ات‬‫ر‬‫بالمميمت‬ ‫الحقيقي‬ ‫الطكؿ‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫ػاؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ث‬‫م‬4‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫مق‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫إذا‬ :4:8333333‫ػدينتيف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػيف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ب‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫الب‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ، 483.‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫المدينتيف‬ ‫بيف‬ ‫الطكؿ‬ ‫أكجد‬ .‫كيمكمتر‬ ‫الحل‬ = ‫بالسـ‬ ‫الحقيقي‬ ‫الطكؿ‬483×433333=48333333‫سـ‬ = ‫الرسـ‬ ‫مقياس‬ = = ‫الرسـ‬ ‫في‬ ‫الطكؿ‬=6‫سـ‬ ‫تدرٌب‬1:‫ػا‬‫ط‬‫كطن‬ ‫ة‬‫ر‬‫القاى‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬;8‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػـ‬‫س‬‫ر‬ ‫ػاس‬‫ي‬‫مق‬ ‫ػاف‬‫ك‬‫ك‬ ،‫ػكمتر‬‫م‬‫كي‬6 :8333333..‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫أكجد‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 8333333 ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ 48333333 4×48333333 8333333
  • 42.
    07 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫اوٌم‬‫ا‬‫التق‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػامة‬‫ػ‬‫س‬‫أ‬ ‫ػو‬‫ػ‬‫ي‬‫ألخ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ص‬ ‫ػد‬‫ػ‬‫م‬‫أح‬ ‫ػـ‬‫ػ‬‫س‬‫ر‬‫ػـ‬‫ػ‬‫س‬4:73‫ػي‬‫ػ‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ػ‬‫ط‬‫ال‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ف‬ . ‫ىك‬ ‫ألسامة‬493‫ة؟‬‫ر‬‫الصك‬ ‫في‬ ‫طكلو‬ ‫ىك‬ ‫فما‬ .‫سـ‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... .................................................................... .................................................................... ‫الواجب‬ 4‫إذ‬ )‫الكبير‬ ‫التؿ‬‫ك‬ ‫اإلسماعيمية‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫ا‬78‫ػكمة‬‫س‬‫المر‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫ككاف‬ ،‫كيمكمتر‬ ‫عمييا‬4:6333333.‫يطة‬‫ر‬‫الخ‬ ‫عمى‬ ‫بينيما‬ ‫المسافة‬ ‫أكجد‬ . ‫الحل‬ .................................................................... .................................................................... .................................................................... .................................................................... 5)‫(ص‬ ‫المدرسة‬ ‫كتاب‬23‫رقم‬ )4 .................................................................... .................................................................... .................................................................... .................................................................... ....................................................................
  • 43.
    03 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرسم‬ ‫مقٌاس‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ :‫المقابل‬ ‫الشكل‬ ‫من‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4............................ = ‫الرسـ‬ ‫مقياس‬ ) 5........................ = ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ) 6.......................... = ‫الحقيقي‬ ‫الطكؿ‬ ) ‫تمرٌن‬1:‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫بمديف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫أم‬8،‫سـ‬ ‫يطة‬‫ر‬‫لمخ‬ ‫الرسـ‬ ‫مقياس‬ ‫ككاف‬4:4333333. :‫أوجد‬4.‫ات‬‫ر‬‫بالكيمكمت‬ ‫البمديف‬ ‫بيف‬ ‫الحقيقي‬ ‫البعد‬ ) 5‫بينيما‬ ‫البعد‬ )‫رسميا‬ ‫مقياس‬ ‫ل‬‫أخر‬ ‫يطة‬‫ر‬‫خ‬ ‫عمى‬4:8333333 ‫الحل‬ 1)= ‫الرسـ‬ ‫مقياس‬ = ‫س‬(‫الحقيقي‬ ‫الطكؿ‬)= =8333333‫سـ‬ ‫الطكؿ‬= ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬8333333÷433333=83‫كيمكمتر‬ 2)= ‫الرسـ‬ ‫مقياس‬ = = )‫الرسـ‬ ‫في‬ ‫(الطكؿ‬ ‫س‬=43‫سـ‬ ‫تمرٌن‬2:‫ػبة‬‫س‬‫بن‬ ‫ة‬‫ر‬‫ػ‬‫ة‬‫ح‬ ‫ػر‬‫ي‬‫تكب‬ ‫عدسة‬ ‫استخدمت‬433:4‫ة‬‫ر‬‫ػ‬‫ة‬‫لمح‬ ‫ػي‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ط‬‫ال‬ ‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ ، 3.9‫بعد‬ ‫ة‬‫ر‬‫الحة‬ ‫طكؿ‬ ‫ىك‬ ‫فما‬ .‫ممميمتر‬‫التكبير؟‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫انطىل‬ ‫انرسى‬ ‫في‬ ‫يقياش‬ ‫انرسى‬ ‫انطىل‬ ‫انحقيقي‬ ÷÷ × ‫ا‬ ‫في‬ ‫الطكؿ‬‫لرسـ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 4333333 8 ‫س‬ 8×4333333 4 ‫الرسـ‬ ‫في‬ ‫الطكؿ‬ ‫الحقيقي‬ ‫الطكؿ‬ 4 833333 4×8333333 833333 ‫س‬ 8333333
  • 44.
    00 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫إذا‬‫ػيف‬‫ػ‬‫ب‬‫ػدينتيف‬‫ػ‬‫م‬:8‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػديف‬‫ػ‬‫م‬‫الب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫ككا‬ ،‫ػكمتر‬‫ػ‬‫م‬‫كي‬48‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ ‫يعني؟‬ ‫كماذا‬ ،‫الرسـ‬ ‫مقياس‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... :‫الواجب‬‫الرسم‬ ‫مقٌاس‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ 4‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ،‫ػكيس‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ال‬ ‫ػاة‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫لق‬ ‫ػة‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ );.9‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ،‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ 4:5.‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ ،‫كيمكمتر‬ 5‫ػك‬‫ػ‬‫ب‬‫أم‬ ‫ػكـ‬‫ػ‬‫ك‬‫ك‬ ‫اف‬‫ك‬‫ػ‬‫ػ‬‫س‬‫أ‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ )73،‫ػكمتر‬‫ػ‬‫م‬‫كي‬‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫م‬‫بيني‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬‫ك‬43‫ػاس‬‫ػ‬‫ي‬‫مق‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ .‫الرسـ‬ 6‫الحقيقي‬ )‫(أحمد‬ ‫طكؿ‬ )4.8‫بيا‬ ‫الرسـ‬ ‫مقياس‬ ‫ة‬‫ر‬‫صك‬ ‫في‬ ‫طكلو‬ ‫أكجد‬ .‫متر‬4:58. 7‫رسـ‬ ‫بمقياس‬ ‫يطة‬‫ر‬‫خ‬ ‫رسمت‬ )4:833333‫ػدينتيف‬‫م‬ ‫بيف‬ ‫الحقيقية‬ ‫المسافة‬ ‫كانت‬ ‫فإذا‬ ،78،‫ػكمتر‬‫م‬‫كي‬ .‫يطة‬‫ر‬‫الخ‬ ‫ىذه‬ ‫عمى‬ ‫المدينتيف‬ ‫بيف‬ ‫البعد‬ ‫أكجد‬ 8‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػاحة‬‫ػ‬‫س‬‫الم‬ ‫ػمحة‬‫ػ‬‫ص‬‫م‬ ‫ػـ‬‫ػ‬‫س‬‫تر‬ )4:53333‫ائط‬‫ر‬‫ػ‬‫ػ‬‫خ‬‫ال‬ ‫ػدل‬‫ػ‬‫ح‬‫إ‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػا‬‫ػ‬‫ي‬‫بالمن‬ ‫ع‬‫ػار‬‫ػ‬‫ة‬ ‫ػر‬‫ػ‬‫ي‬‫ظ‬ ‫ػإذا‬‫ػ‬‫ف‬ ، ‫بطكؿ‬:.‫باألمتار‬ ‫الحقيقي‬ ‫ع‬‫الةار‬ ‫ىذا‬ ‫طكؿ‬ ‫فما‬ .‫سـ‬ 9‫ػـ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ي‬‫بمق‬ ‫ػكمة‬‫ػ‬‫س‬‫مر‬ ‫ػة‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ )4:583333‫ػو‬‫ػ‬‫ي‬‫عم‬ ‫ػديف‬‫ػ‬‫م‬‫ب‬ ‫ػيف‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ف‬ ،;.5‫ػد‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫س‬ ‫البمدي‬ ‫بيف‬ ‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقية‬ ‫المسافة‬.‫ف‬ :‫فكجدت‬ ،‫الكبير‬ ‫التؿ‬‫ك‬ ‫اإلسماعيمية‬ ‫بيف‬ ‫المسافة‬ )78‫ػكؿ‬‫ط‬‫ب‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػي‬‫ف‬ ‫ػافة‬‫س‬‫الم‬ ‫ىذه‬ ‫رسمت‬ ،‫كيمكمتر‬ 4.8.‫يطة‬‫ر‬‫الخ‬ ‫رسـ‬ ‫مقياس‬ ‫أكجد‬ .‫سـ‬ ;‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػة‬‫ػ‬‫ػ‬‫ط‬‫ي‬‫ر‬‫خ‬ ‫ػمت‬‫ػ‬‫ػ‬‫س‬‫ر‬ )6:;33333‫ػك‬‫ػ‬‫ػ‬‫ى‬ ‫ػدينتيف‬‫ػ‬‫ػ‬‫م‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػافة‬‫ػ‬‫ػ‬‫س‬‫الم‬ ‫ػت‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ،45‫ػد‬‫ػ‬‫ػ‬‫ج‬‫أك‬ .‫ػـ‬‫ػ‬‫ػ‬‫س‬ .‫ات‬‫ر‬‫بالكيمكمت‬ ‫الحقيقي‬ ‫البعد‬ <‫ػا‬‫ػ‬‫ػ‬‫ي‬‫طكل‬ ‫ػة‬‫ػ‬‫ػ‬‫ة‬‫ا‬‫ر‬‫ف‬ ‫ػكرت‬‫ػ‬‫ػ‬‫ص‬ )‫ػي‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬3.8‫ػبة‬‫ػ‬‫ػ‬‫س‬‫بن‬ ‫ػر‬‫ػ‬‫ػ‬‫ي‬‫تكب‬ ‫ػة‬‫ػ‬‫ػ‬‫ل‬‫بت‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬;:4‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػة‬‫ػ‬‫ػ‬‫ة‬‫ا‬‫ر‬‫الف‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكف‬‫ػ‬‫ػ‬‫ك‬‫ي‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ف‬ . .‫ة‬‫ر‬‫الصك‬
  • 45.
    02 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 46.
    01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 47.
    02 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫تمارٌن‬‫عام‬‫ة‬‫الرسم‬ ‫مقٌاس‬ ‫على‬ 4)‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػامة‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫أ‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫ألخ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ػ‬‫ص‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫أح‬ ‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ر‬4:73‫ػك‬‫ػ‬‫ػ‬‫ػ‬‫ى‬ ‫ػامة‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫أل‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫الحقي‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫ال‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ، 493‫ة؟‬‫ر‬‫الصك‬ ‫في‬ ‫طكلو‬ ‫فما‬ ،‫سـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 5‫ىك‬ ‫يطة‬‫ر‬‫خ‬ ‫عمى‬ ‫مدينتيف‬ ‫بيف‬ ‫المسافة‬ ‫كانت‬ ‫إذا‬ )6‫ػي‬‫ى‬ ‫ػة‬‫ق‬‫الحقي‬ ‫ػي‬‫ف‬ ‫ػا‬‫م‬‫بيني‬ ‫ػافة‬‫س‬‫الم‬‫ك‬ ،‫ػـ‬‫س‬<،‫ػكمتر‬‫م‬‫كي‬ ‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػس‬‫ف‬‫ن‬ ‫ػى‬‫م‬‫ع‬ ‫ػدينتيف‬‫م‬ ‫ػيف‬‫ب‬ ‫ػد‬‫ع‬‫الب‬ ‫ػاف‬‫ك‬ ‫ذا‬‫ا‬‫ك‬ ،‫ػة‬‫ط‬‫ي‬‫ر‬‫الخ‬ ‫ػذه‬‫ى‬ ‫ػو‬‫ب‬ ‫ػمت‬‫س‬‫ر‬ ‫ػذم‬‫ل‬‫ا‬ ‫ػـ‬‫س‬‫الر‬ ‫ػاس‬‫ي‬‫مق‬ ‫أكجد‬ ‫ىك‬8.‫المدينتيف‬ ‫بيف‬ ‫الحقيقي‬ ‫البعد‬ ‫احسب‬ .‫سـ‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 6)‫ػاحتيا‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػتطيمة‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫أرض‬ ‫ػة‬‫ػ‬‫ػ‬‫ع‬‫قط‬4533‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫بمق‬ ‫ػمت‬‫ػ‬‫ػ‬‫س‬‫ر‬ ‫ػع‬‫ػ‬‫ػ‬‫ب‬‫ر‬‫م‬ ‫ػر‬‫ػ‬‫ػ‬‫ت‬‫م‬4:533‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ف‬ ، ‫الرسـ‬ ‫في‬ ‫طكليا‬53.‫سـ‬ :‫أكجد‬ .‫أرض‬ ‫لقطعة‬ ‫الحقيقي‬ ‫الطكؿ‬ )‫أ‬.‫أرض‬ ‫لقطعة‬ ‫الحقيقي‬ ‫العرض‬ )‫ب‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 48.
    01 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :18،19‫رقم‬ )1،3،5،7 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 49.
    09 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ً‫التناسب‬ ‫التقسٌم‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :ً‫التناسب‬ ‫التقسٌم‬.‫معينة‬ ‫بنسبة‬ ‫ةخصيف‬ ‫بيف‬ ‫كمعمكمة‬ ‫معينة‬ ‫بنسبة‬ ‫معيف‬ ‫ةيء‬ ‫تقسيـ‬ ‫ىك‬ ‫مثال‬1:‫ه‬‫ر‬‫قد‬ ‫الماؿ‬ ‫مف‬ ‫مبمغ‬ ‫قسـ‬83‫بنسبة‬ ‫ةخصيف‬ ‫بيف‬ ‫جنيو‬.‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫تيب‬‫ر‬‫الت‬ ‫عمى‬ ‫الحل‬ .................................................................... .................................................................... .................................................................... ‫مثال‬2:‫األكؿ‬ ‫ػدفع‬‫ف‬ ،‫ة‬‫ر‬‫ػا‬‫ج‬‫ت‬ ‫ػي‬‫ف‬ ‫ػخاص‬‫ة‬‫أ‬ ‫ػة‬‫ث‬‫ثال‬ ‫اةترؾ‬68333‫ػاني‬‫ث‬‫ال‬ ‫ػع‬‫ف‬‫كد‬ ،‫ػو‬‫ي‬‫جن‬58333‫ج‬‫ػع‬‫ف‬‫كد‬ ،‫ػو‬‫ي‬‫ن‬ ‫ػث‬‫ػ‬‫ل‬‫الثا‬53333‫ػاح‬‫ػ‬‫ب‬‫ر‬‫األ‬ ‫ػت‬‫ػ‬‫غ‬‫بم‬ ‫ػاـ‬‫ػ‬‫ع‬‫ال‬ ‫ػة‬‫ػ‬‫ي‬‫نيا‬ ‫ػي‬‫ػ‬‫ف‬‫ك‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬49333‫ػنيـ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ك‬ ‫ػيب‬‫ػ‬‫ص‬‫ن‬ ‫ػب‬‫ػ‬‫س‬‫اح‬ .‫ػو‬‫ػ‬‫ي‬‫جن‬ .‫باح‬‫ر‬‫األ‬ ‫مف‬ ‫الحل‬ ‫ع‬‫المجمك‬ : ‫الثالث‬ ‫دفعو‬ ‫ما‬ : ‫الثاني‬ ‫دفعو‬ ‫ما‬ : ‫األكؿ‬ ‫دفعو‬ ‫ما‬ 68333:58333:53333: 68:58:53: ::8:7:49 :49333 = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬49333÷49=4333‫جنيو‬ = ‫األكؿ‬ ‫نصيب‬4333×:=:333‫جنيو‬ = ‫الثاني‬ ‫نصيب‬4333×8=8333‫جنيو‬ = ‫الثالث‬ ‫نصيب‬4333×7=7333‫ج‬‫نيو‬ 5 6
  • 50.
    24 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫ػاؿ‬‫ػ‬‫ػ‬‫ث‬‫م‬6‫ػغ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ق‬ :9933،‫ػمير‬‫ػ‬‫ػ‬‫س‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػامي‬‫ػ‬‫ػ‬‫س‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ف‬ ،‫ػامم‬‫ػ‬‫ػ‬‫س‬‫ك‬ ‫ػامي‬‫ػ‬‫ػ‬‫س‬‫ك‬ ‫ػمير‬‫ػ‬‫ػ‬‫س‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػو‬‫ػ‬‫ػ‬‫ي‬‫جن‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫سامي‬ ‫نصيب‬ ‫سامم‬ ‫كنصيب‬ ‫الحل‬ ‫ع‬‫المجمك‬ : ‫سامم‬ ‫نصيب‬ : ‫سامي‬ ‫نصيب‬ : ‫سمير‬ ‫نصيب‬ 5:4:-: -:6:5:....... ....... : ....... : ....... : ....... = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬................................................................................................................................ = ‫سمير‬ ‫نصيب‬............................................................................................................................................. = ‫سامي‬ ‫نصيب‬............................................................................................................................................ = ‫سامم‬ ‫نصيب‬............................................................................................................................................. :‫التأكٌد‬= ‫ع‬‫المجمك‬.............................................................................................................................. ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬25‫رقم‬ )1،2-‫(ص‬23‫رقم‬ )5–‫(ص‬26‫رقم‬ )3 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 5 6 4 5
  • 51.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫التناسب‬ ‫التقسٌم‬ ‫تابع‬ :‫التمهٌد‬ :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ‫ما‬ ‫مدرسة‬ ‫تالميذ‬ ‫عدد‬ ‫كاف‬ ‫إذا‬873‫ككاف‬ ،‫كتمميذة‬ ‫تمميذ‬.‫البنات‬ ‫عدد‬ ‫أكجد‬ . ‫الحل‬ = ‫البنات‬ ‫عدد‬×873=783‫بنت‬ ‫مثال‬1:‫ه‬‫ر‬‫قد‬ ‫مبمغ‬ ‫اآلباء‬ ‫أحد‬ ‫ع‬‫كز‬558‫ككانت‬ ،‫المبمغ‬ ‫ثمث‬ ‫األكؿ‬ ‫نصيب‬ ‫فكاف‬ ،‫الثالثة‬ ‫أبنائو‬ ‫بيف‬ ‫جنيو‬‫النسبة‬ ‫ىي‬ ‫الثالث‬ ‫نصيب‬ ‫إلى‬ ‫الثاني‬ ‫نصيب‬ ‫بيف‬5:6.‫الثالثة‬ ‫األبناء‬ ‫مف‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ . ‫الحل‬ = ‫األكؿ‬ ‫نصيب‬×558=:8‫جنيو‬ = ‫الباقي‬558–:8=483‫جنيو‬ ‫ع‬‫المجمك‬ : ‫الثالث‬ ‫نصيب‬ : ‫الثاني‬ ‫نصيب‬ 5:6:8 ........ = ‫احد‬‫ك‬‫ال‬ ‫ء‬‫الجز‬ ‫قيمة‬....................................................... .................................................................... = ‫الثاني‬ ‫نصيب‬ .................................................................... = ‫الثالث‬ ‫نصيب‬ :‫تدرٌب‬‫م‬ ‫أرض‬ ‫ػة‬‫ع‬‫قط‬ ‫ػرؾ‬‫ت‬‫ك‬ ‫ػؿ‬‫ج‬‫ر‬ ‫ػكفي‬‫ت‬‫ػاحتيا‬‫س‬<9‫ػاف‬‫ك‬ ‫ػإذا‬‫ف‬ .‫ػو‬‫ي‬‫كبنت‬ ‫ػو‬‫ي‬‫ككلد‬ ‫ػو‬‫ت‬‫زكج‬ ‫ػى‬‫م‬‫ع‬ ‫ػت‬‫ع‬‫كز‬ ،‫ػداف‬‫ف‬ .‫منيـ‬ ‫كؿ‬ ‫نصيب‬ ‫أكجد‬ .‫البنت‬ ‫نصيب‬ ‫ضعؼ‬ ‫الكلد‬ ‫كنصيب‬ ‫التركة‬ ‫الزكجة‬ ‫نصيب‬ ‫الحل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. 8 9 8 9 4 6 4 ;
  • 52.
    27 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫بن‬ ‫ػيف‬‫ػ‬‫ػ‬‫ص‬‫ةخ‬ ‫ػيف‬‫ػ‬‫ػ‬‫ب‬ ‫ػاؿ‬‫ػ‬‫ػ‬‫م‬‫ال‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػغ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬‫ق‬6:8‫األكؿ‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػى‬‫ػ‬‫ػ‬‫م‬‫ع‬ ‫ػد‬‫ػ‬‫ػ‬‫ي‬‫ز‬‫ي‬ ‫ػاني‬‫ػ‬‫ػ‬‫ث‬‫ال‬ ‫ػيب‬‫ػ‬‫ػ‬‫ص‬‫ن‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ف‬ ، ‫بمقدار‬63.‫األكؿ‬ ‫نصيب‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬25‫رقم‬ )4،5–‫(ص‬26‫رقم‬ )6 ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................
  • 53.
    23 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫المائة‬ ‫حساب‬ :‫والمصطلحات‬ ‫المفاهٌم‬ ‫المئوٌة‬ ‫النسبة‬: ‫الثاني‬ ‫حدىا‬ ‫نسبة‬ ‫ىي‬433 = ‫كمو‬ ‫لممقدار‬ ‫المئكية‬ ‫النسبة‬ *433= %4 ‫عادي‬ ‫كسر‬ ‫إلى‬ ‫المئوٌة‬ ‫النسبة‬ ‫تحوٌل‬ :ً‫ال‬‫أو‬: ‫مثال‬1:‫كسر‬ ‫صورة‬ ‫على‬ ‫اآلتٌة‬ ‫النسب‬ ‫ضع‬‫عادي‬:‫صورة‬ ‫أبسط‬ ‫إلى‬ ‫اختصر‬ ‫ثم‬ 4):8%== = 5)45.8= %== == ‫تدرٌب‬1:‫كسر‬ ‫إلى‬ ‫اآلتٌة‬ ‫المئوٌة‬ ‫النسب‬ ‫حول‬‫عادي‬: 4)78..……………………………………………………… = % 5)6:.8……………………………………………………… = % ‫مثال‬2:‫عشري‬ ‫كسر‬ ‫صورة‬ ً‫ف‬ ‫اآلتٌة‬ ‫المئوٌة‬ ‫النسبة‬ ‫ضع‬ : 4):8= %=3.:8 5)5.8= %=3.458 ‫تدرٌب‬2:‫عشري‬ ‫كسر‬ ‫إلى‬ ‫حول‬ : 4)68............................................................... = % 5)95.8............................................................ = % ‫مثال‬3:‫مئوٌة‬ ‫نسبة‬ ‫إلى‬ ‫حول‬ : 4)=×433= %53% 5)3.958=3.958×433= %95.8% :‫مئوٌة‬ ‫نسبة‬ ‫صورة‬ ‫على‬ ‫ضع‬ :‫تدرٌب‬ 4)3.78................................................................ = 5................................................................ = ) 22÷2 144÷2 12÷2 74÷2 3 0 17.2×14 144×14 172÷2 1444÷2 72÷2 744÷2 2 04 1 1 22 144 17.2 144 1 2 1 2 3 0
  • 54.
    20 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫الواجب‬‫ت‬‫المائة‬ ‫حساب‬ ‫على‬ ‫مارٌن‬ 1ً‫ال‬‫ك‬ ‫حول‬ ):‫مئوٌة‬ ‫نسبة‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ 4.............................................. = ) 5.............................................. = ) 6.............................................. = ) 7)89.75. =........................................... 8)3.68.............................................. = 9)3.33;............................................ = :)5.38.............................................. = 2‫حول‬ ):‫عادٌة‬ ‫كسور‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ ً‫ال‬‫ك‬ 4)5.8.............................................. = % 5)<3............................................... = % 6)45.......................................... = % 3:‫عشرٌة‬ ‫كسور‬ ‫إلى‬ ً‫ٌأت‬ ‫مما‬ ً‫ال‬‫ك‬ ‫حول‬ ) 4)49.................................. = %............. 5)58............................................... = % 6)45.8............................................ = % 12 24 3 0 2 1 2 1
  • 55.
    22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫تابع‬ :‫التمهٌد‬ = ‫كمو‬ ‫لممقدار‬ ‫المئكية‬ ‫النسبة‬433= %4 ‫تمرٌن‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : )‫أ‬4–68............. = %)‫ب‬:8%................. = )‫ج‬43÷43%...... = ‫مثال‬1:‫ػر‬‫ي‬‫ر‬‫الح‬ ‫ػبة‬‫س‬‫ن‬ ‫ككانت‬ ،‫ير‬‫ر‬‫كح‬ ‫ككتاف‬ ‫قطف‬ ‫المالبس‬ ‫أحد‬ ‫مككنات‬ ‫كانت‬ ‫إذا‬48‫ػف‬‫ط‬‫الق‬ ‫ػبة‬‫س‬‫كن‬ ،% 88.‫لمكتاف‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .% ‫الحل‬ = ‫لمكتاف‬ ‫المئكية‬ ‫النسبة‬433%-(48+ %88)% =433%-:3= %63% :‫تاادرٌب‬‫ػد‬‫ػ‬‫ج‬‫ما‬ ‫ل‬‫ػتر‬‫ػ‬‫ة‬‫ا‬‫ػاؼ‬‫ػ‬‫ي‬‫أل‬‫ك‬ ‫ػف‬‫ػ‬‫ط‬‫ق‬ ‫ػف‬‫ػ‬‫م‬ ‫ع‬‫ػنك‬‫ػ‬‫ص‬‫[م‬ ‫ة‬‫ر‬‫ػغي‬‫ػ‬‫ص‬ ‫ػة‬‫ػ‬‫ق‬‫بطا‬ ‫ػالؿ‬‫ػ‬‫خ‬ ‫ػف‬‫ػ‬‫م‬ ‫ػو‬‫ػ‬‫ي‬‫عم‬ ‫ػا‬‫ػ‬‫ن‬‫مكتكب‬ )‫ػيرت‬‫ػ‬‫ة‬ ‫ػي‬‫ػ‬‫ت‬( ‫األلياؼ‬ ‫نسبة‬ ‫ككانت‬ )‫صناعية‬73‫ػؿ‬‫ك‬‫ل‬ ‫ػافل‬‫ك‬‫الم‬ ‫ػر‬‫س‬‫الك‬ ‫ػد‬‫ج‬‫أك‬ ‫ػـ‬‫ث‬ ،‫القطف‬ ‫نسبة‬ ‫احسب‬ .‫فقط‬ % .‫منيا‬ ‫نسبة‬ ‫الحل‬ ...................................................................... ...................................................................... ‫مثال‬2:‫بيا‬ ‫مدرسة‬533‫الناجحيف‬ ‫عدد‬ ‫ككاف‬ ،‫تمميذ‬4:8.‫لمناجحيف‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .‫تمميذ‬ ‫الحل‬ = ‫الناجحيف‬ ‫عدد‬4:8‫تمميذ‬ = ‫لمناجحيف‬ ‫المئكية‬ ‫النسبة‬×433% =×433= %;:.8% ‫مثال‬3:‫ا‬‫بو‬ ‫تقاؿ‬‫ر‬‫ب‬ ‫قفص‬ ‫سمير‬ ‫ل‬‫ةتر‬483‫فييا‬ ‫كجد‬ ،‫تقالة‬‫ر‬‫ب‬57.‫فاسدة‬ ‫تقالة‬‫ر‬‫ب‬‫ػة‬‫ي‬‫المئك‬ ‫ػبة‬‫س‬‫الن‬ ‫احسب‬ .‫السميـ‬ ‫تقاؿ‬‫ر‬‫لمب‬ ‫الحل‬ ........................................................ = ‫السميـ‬ ‫تقاؿ‬‫ر‬‫الب‬ ‫عدد‬ .................................... = ‫السميـ‬ ‫تقاؿ‬‫ر‬‫لمب‬ ‫المئكية‬ ‫النسبة‬.......... ‫أن‬ ‫تذكر‬ ٍ‫انُاجحي‬ ‫عذد‬ ‫انكهي‬ ‫انعذد‬ 122 744
  • 56.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫اادرٌب‬‫ا‬‫ت‬‫ػا‬‫ػ‬‫ػ‬‫ي‬‫ب‬ ‫ػة‬‫ػ‬‫ػ‬‫س‬‫مدر‬733‫ػات‬‫ػ‬‫ػ‬‫ن‬‫الب‬ ‫ػدد‬‫ػ‬‫ػ‬‫ع‬ ‫ػاف‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ،‫ػذة‬‫ػ‬‫ػ‬‫ي‬‫كتمم‬ ‫ػذ‬‫ػ‬‫ػ‬‫ي‬‫تمم‬483‫ػدد‬‫ػ‬‫ػ‬‫ع‬‫ل‬ ‫ػة‬‫ػ‬‫ػ‬‫ي‬‫المئك‬ ‫ػبة‬‫ػ‬‫ػ‬‫س‬‫الن‬ ‫ػد‬‫ػ‬‫ػ‬‫ج‬‫أك‬ .‫ػذة‬‫ػ‬‫ػ‬‫ي‬‫تمم‬ .‫البنيف‬ ‫الحل‬ ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬21‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................
  • 57.
    22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تمارٌن‬ :‫التمهٌد‬:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4% ..... = × ) 5% .... = ) ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ : 4)73‫مف‬ %453‫جنيو‬ ‫الحل‬ 453×=7;‫جنيو‬ 5‫كاف‬ ‫إذا‬ )63‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %483‫المبمغ؟‬ ‫ىك‬ ‫فما‬ .‫جنيو‬ = ‫المبمغ‬483= ×833‫جنيو‬ ‫تدرٌب‬1‫أوجد‬ ::ً‫ٌأت‬ ‫ما‬ 4)48‫مف‬ %493.‫اـ‬‫ر‬‫كيمكج‬ ‫الحل‬ ...................................................................... ...................................................................... 5‫كاف‬ ‫إذا‬ )58‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %733‫المبمغ؟‬ ‫ىك‬ ‫فما‬ .‫جنيو‬ ‫ال‬‫حل‬ ...................................................................... ...................................................................... :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫تدرٌب‬ 4)73+ %58= .... + %4 5)48‫مف‬ %493.................... = 6)3.:7%..... = 7)63%-3.63........ = 7 2 2 7 0 2 04 144 144 34
  • 58.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫الواجب‬ 1):ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ 4%.... = ) 5= ‫كانت‬ ‫إذا‬ )<............... = ‫س‬ ‫فإف‬ % 6)4%...... = 7)95.8= % 8= )43..... = ‫س‬ ‫فإف‬ ، % 9)53%..... = + % :)45‫مف‬ %5833‫ا‬‫ن‬‫جنيي‬ ...... = ‫جنيو‬ ;)73+ %58+ %= ....4 <)48‫مف‬ %493....... = 43........................................... ‫ىي‬ ‫المئكية‬ ‫النسبة‬ ) 44)3.:7=%..... = 45)4%..... = 2‫(ص‬ ‫المدرسة‬ ‫كتاب‬ )21‫رقم‬ )4،5 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 13 14 ‫ش‬ 2 3 2 ..... 1 ‫ش‬ 11 7 2 20 .....
  • 59.
    29 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السادس‬ ‫الدرس‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :ً‫ال‬‫أو‬‫الخصم‬ ‫أو‬ ‫الفائدة‬ ‫حساب‬: ‫ا‬:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫لتمهٌد‬ 4)8%-3.38......... = 5‫كانت‬ ‫إذا‬ )63‫يساكم‬ ‫ما‬ ‫مبمغ‬ ‫مف‬ %483.......... = ‫المبمغ‬ ‫فإف‬ .‫جنيو‬ 6)83+ %58= .... + %4 ‫ااااال‬‫ا‬‫مث‬1:‫ػغ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫مب‬ ‫ػى‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫م‬ ‫ػت‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫أكد‬6333‫ػدة‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ئ‬‫الفا‬ ‫ػت‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫كا‬ ‫ػإذا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ،‫ػكؾ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫الب‬ ‫ػد‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ح‬‫أ‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫جن‬43.8%.‫ا‬‫ن‬‫ػنكي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ .‫الفائدة‬ ‫بعد‬ ‫المبمغ‬ ‫فأكجد‬ ‫ال‬‫حل‬ ‫الفائدة‬ ‫بعد‬ ‫المبمغ‬ : ‫الفائدة‬ : ‫الفائدة‬ ‫قبؿ‬ ‫المبمغ‬ 433:43.8:443.8 6333‫س‬ : : = ‫الفائدة‬ ‫بعد‬ ‫المبمغ‬=6648‫جنيو‬ ‫مثال‬2:‫ثمنو‬ ‫خالط‬7;3‫خصـ‬ ‫عميو‬ ‫جنيو‬43.‫الخصـ‬ ‫بعد‬ ‫الثمف‬ ‫أكجد‬ .% ‫الحل‬ ‫قب‬ ‫الثمف‬‫الخصـ‬ ‫بعد‬ ‫الثمف‬ : ‫الخصـ‬ ‫مقدار‬ : ‫الخصـ‬ ‫ؿ‬ 433:43:<3 7;3‫س‬ : : = = ‫الخصـ‬ ‫بعد‬ ‫الثمف‬765‫جنيو‬ :‫تاادرٌب‬‫ة‬‫ر‬‫ػيا‬‫ػ‬‫س‬ ‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػاف‬‫ػ‬‫ك‬ ‫إذا‬;333‫ػيض‬‫ػ‬‫ف‬‫تخ‬ ‫ػا‬‫ػ‬‫ي‬‫كعمي‬ ‫ػو‬‫ػ‬‫ي‬‫جن‬53‫ػدار‬‫ػ‬‫ق‬‫كم‬ ‫ػيض‬‫ػ‬‫ف‬‫التخ‬ ‫ػد‬‫ػ‬‫ع‬‫ب‬ ‫ػثمف‬‫ػ‬‫ل‬‫ا‬ ‫ػد‬‫ػ‬‫ج‬‫أك‬ .% .‫التخفيض‬ ‫الحل‬ ...................................................................... ...................................................................... 3444×114.2 144 94×014 144
  • 60.
    14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫المدرسة‬ ‫تالميذ‬ ‫عدد‬ ‫كاف‬ ‫إذا‬633‫الناجحيف‬ ‫نسبة‬ ‫ككانت‬ ‫ا‬‫ن‬‫ذ‬‫تممي‬<:.‫اسبيف‬‫ر‬‫ال‬ ‫عدد‬ ‫أكجد‬ .% ‫الحل‬ ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22‫رقم‬ )1،3–(‫ص‬26‫رقم‬ )4 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................
  • 61.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ :‫تابع‬‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :‫الشراء‬ ‫وثمن‬ ‫البٌع‬ ‫ثمن‬ ‫حساب‬ :‫ا‬ًٌ‫ثان‬ ‫مثال‬1:‫بمبمغ‬ ‫بضاعة‬ ‫تاجر‬ ‫ل‬‫اةتر‬4973‫بمكسب‬ ‫كباعيا‬ ،‫جنيو‬48.‫البيع‬ ‫ثمف‬ ‫أكجد‬ .% ‫الحل‬ ‫البيع‬ ‫ثمف‬ : ‫المكسب‬ : ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ 433:48:448 4973:--‫س‬ : = = ‫البيع‬ ‫ثمف‬4;;9‫جنيو‬ :‫ادرٌب‬‫ا‬‫ت‬‫ل‬‫ػتر‬‫ػ‬‫ة‬‫ا‬‫ػغ‬‫ػ‬‫م‬‫بمب‬ ‫ػة‬‫ػ‬‫ج‬‫ثال‬ ‫ػاجر‬‫ػ‬‫ت‬<93‫ػا‬‫ػ‬‫ي‬‫نقم‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػرؼ‬‫ػ‬‫ص‬‫ك‬ ‫ػو‬‫ػ‬‫ي‬‫جن‬53‫ة‬‫ر‬‫ػا‬‫ػ‬‫س‬‫بخ‬ ‫ػا‬‫ػ‬‫ي‬‫باع‬ ‫ػـ‬‫ػ‬‫ث‬ ،‫ػو‬‫ػ‬‫ي‬‫جن‬58.% .‫ة‬‫ر‬‫الخسا‬ ‫كمقدار‬ ‫البيع‬ ‫ثمف‬ ‫أكجد‬ ‫الحل‬ ..................................... = ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬‫البيع‬ ‫ثمف‬ : ‫ة‬‫ر‬‫الخسا‬ ‫مقدار‬ : 433:58::8 ---‫ص‬ : ‫س‬ : ................................................ = ‫ة‬‫ر‬‫الخسا‬ ‫مقدار‬ .................................................... = ‫البيع‬ ‫ثمف‬. :‫التقوٌم‬ ‫ػغ‬‫م‬‫بمب‬ ‫ػة‬‫ي‬‫بائ‬‫ر‬‫كي‬ ‫ػة‬‫ج‬‫ثال‬ ‫ػات‬‫ض‬‫التخفي‬ ‫ػـ‬‫س‬‫مك‬ ‫ػي‬‫ف‬ ‫يماف‬‫ر‬‫نا‬ ‫اةترت‬54;8‫ا‬‫ن‬‫ػم‬‫ص‬‫خ‬ ‫ػائع‬‫ب‬‫ال‬ ‫ػا‬‫ي‬‫منح‬ ‫أف‬ ‫ػد‬‫ع‬‫ب‬ ‫ػا‬‫ن‬‫جنيي‬ 8.‫التخفيض‬ ‫قبؿ‬ ‫الثالجة‬ ‫ثمف‬ ‫أكجد‬ .% ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... 1104×112 144
  • 62.
    17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22)‫رقم‬2،5–‫(ص‬26‫رقم‬ )7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 63.
    13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المائة‬ ‫حساب‬ ‫على‬ ‫تطبٌقات‬ :‫تابع‬ :‫ا‬ً‫ث‬‫ثال‬‫الخسارة‬ ‫أو‬ ‫للمكسب‬ ‫المئوٌة‬ ‫النسبة‬ ‫إٌجاد‬: :‫والمصطلحات‬ ‫المفاهٌم‬ ‫البيع‬ ‫ثمف‬ = ‫المكسب‬–‫اء‬‫ر‬‫الة‬ ‫ثمف‬ ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬ = ‫ة‬‫ر‬‫الخسا‬–‫البيع‬ ‫ثمف‬ ‫مثال‬1:‫بمبمغ‬ ‫بضاعة‬ ‫تاجر‬ ‫ل‬‫اةتر‬4533‫بمبمغ‬ ‫كباعيا‬ ‫جنيو‬7;;.‫جنيو‬ ‫النس‬ ‫أكجد‬.‫لممكسب‬ ‫المئكية‬ ‫بة‬ ‫الحل‬ ‫البيع‬ ‫ثمف‬ = ‫المكسب‬–‫اء‬‫ر‬‫الة‬ ‫ثمف‬ =47;;–4533=5;;‫جنيو‬ = ‫لممكسب‬ ‫المئكية‬ ‫النسبة‬×433% =×433= %57% ‫مثال‬2:‫تاجر‬ ‫ل‬‫اةتر‬‫بمبمغ‬ ‫ة‬‫ر‬‫سيا‬59583‫ػال‬‫ص‬‫إ‬ ‫ػى‬‫م‬‫ع‬ ‫كصرؼ‬ ،‫جنيو‬‫حيا‬6:83‫ػغ‬‫م‬‫بمب‬ ‫ػا‬‫ي‬‫باع‬ ‫ػـ‬‫ث‬ ،‫ػو‬‫ي‬‫جن‬ 58833.‫ة‬‫ر‬‫لمخسا‬ ‫المئكية‬ ‫النسبة‬ ‫أكجد‬ .‫جنيو‬ ‫الحل‬ = ‫يؼ‬‫ر‬‫المصا‬‫ك‬ ‫اء‬‫ر‬‫الة‬ ‫ثمف‬59583+6:83=63333‫جنيو‬ = ‫ة‬‫ر‬‫الخسا‬63333–58833=7833‫جنيو‬ = ‫ة‬‫ر‬‫لمخسا‬ ‫المئكية‬ ‫النسبة‬×433= %48% :‫تدرٌب‬‫بمبمغ‬ ‫ة‬‫ر‬‫سيا‬ ‫تاجر‬ ‫ل‬‫اةتر‬9;333‫ػرؼ‬‫ص‬‫ك‬ ،‫جنيو‬‫ػغ‬‫م‬‫مب‬ ‫ػدىا‬‫ي‬‫كتجد‬ ‫ػالحيا‬‫ص‬‫إ‬ ‫ػى‬‫م‬‫ع‬7333،‫ػو‬‫ي‬‫جن‬ ‫بمبمغ‬ ‫باعيا‬ ‫ثـ‬;5;33.‫جنيو‬ ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... ‫أن‬ ‫تذكر‬ ‫المكس‬ ‫من‬ ‫كل‬ ‫ينسب‬‫المصاريف‬‫و‬ ‫اء‬‫ر‬‫الش‬ ‫ثمن‬ ‫إلى‬ ‫ا‬ً‫دائم‬ ‫ة‬‫الخسار‬ ‫أو‬ ‫ب‬ ‫انًكسة‬ ‫وانًصاريف‬ ‫انشراء‬ ًٍ‫ث‬ 711 1744 0244 34444
  • 64.
    10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التقوٌم‬ ‫ػغ‬‫م‬‫بمب‬ ‫أرض‬ ‫قطعة‬ ‫جؿ‬‫ر‬ ‫ل‬‫اةتر‬433333‫ػغ‬‫م‬‫بمب‬ ‫ات‬‫ك‬‫ػن‬‫س‬ ‫ػالث‬‫ث‬ ‫ػد‬‫ع‬‫ب‬ ‫ػا‬‫ي‬‫كباع‬ ،‫ػو‬‫ي‬‫جن‬463333‫ػد‬‫ج‬‫أك‬ .‫ػو‬‫ي‬‫جن‬ .‫بحو‬‫ر‬‫ل‬ ‫المئكية‬ ‫النسبة‬ ‫الحل‬ ...................................................................... ...................................................................... ...................................................................... ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬22‫رقم‬ )4–‫(ص‬23‫رقم‬ )6 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................
  • 65.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫ال‬‫والقٌاس‬ ‫الهندسة‬ :‫الثالثة‬ ‫وحدة‬ ‫األول‬ ‫الدرس‬ ‫الهندسٌة‬ ‫األشكال‬ ‫بٌن‬ ‫العالقات‬ ٌ‫المستق‬ ‫بٌن‬ ‫العالقة‬ :‫التمهٌد‬‫م‬:‫ات‬ 1‫متقاطعان‬ ‫مستقٌمان‬ ): ‫ايا‬‫ك‬‫ز‬ ‫بع‬‫ر‬‫أ‬ ‫تقاطعيما‬ ‫مف‬ ‫ينتج‬ ‫مستقيماف‬ ‫ىما‬. 2‫متعامدان‬ ‫مستقٌمان‬ ): ‫تقاطعيما‬ ‫مف‬ ‫ينتج‬ ‫مستقيماف‬ ‫ىما‬.‫قائمة‬ ‫ايا‬‫ك‬‫ز‬ ‫بع‬‫ر‬‫أ‬ 3):‫متوازٌان‬ ‫مستقٌمان‬ .‫ا‬‫ن‬‫أبد‬ ‫يتقاطعاف‬ ‫ال‬ ‫مستقيماف‬ ‫ىما‬ ‫هـ‬ ‫أ‬ ‫د‬ ‫حـ‬ ‫ب‬ ‫ع‬ ‫ش‬‫ص‬ ‫ل‬ ‫و‬ ‫ل‬ ٌ‫و‬ ‫و‬
  • 66.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫األضـــالع‬ ‫متـــوازي‬ 4.‫الطكؿ‬ ‫في‬ ‫كمتساكييف‬ ‫ييف‬‫ز‬‫ا‬‫ك‬‫مت‬ ‫متقابميف‬ ‫ضمعيف‬ ‫كؿ‬ ‫فيو‬ ‫باعي‬‫ر‬ ‫ةكؿ‬ ) 5.‫القياس‬ ‫في‬ ‫متساكيتيف‬ ‫متقابمتيف‬ ‫اكيتيف‬‫ز‬ ‫كؿ‬ ) 6‫مجمكعيما‬ ‫متتاليتيف‬ ‫اكيتيف‬‫ز‬ ‫كؿ‬ )4;3‫ق‬ . 7‫اآلخ‬ ‫منيما‬ ‫كؿ‬ ‫ينصؼ‬ ‫اف‬‫ر‬‫القط‬ ).‫ر‬ 8‫متساكي‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ).‫الطكؿ‬ ‫في‬ ‫اف‬ 9.‫متعامداف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) ‫المستطٌل‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬‫إحدل‬.‫قائمة‬ ‫اياه‬‫ك‬‫ز‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) ‫المعٌن‬ .‫الطكؿ‬ ‫في‬ ‫متساكييف‬ ‫ييف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫كؿ‬ ‫فيو‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫غير‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ) ‫الم‬‫ـ‬‫رب‬‫ــ‬‫ع‬ ‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ىك‬‫إحدل‬.‫متساكياف‬ ‫اف‬‫ر‬‫متجاك‬ ‫ضمعاف‬ ‫كؿ‬ ‫كفيو‬ ‫قائمة‬ ‫اياه‬‫ك‬‫ز‬ :‫اإلضافٌة‬ ‫الخواص‬ 4.‫الطكؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 5.‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ) ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ ‫و‬ ‫ش‬ ‫ص‬‫ل‬ ‫ع‬ ‫و‬
  • 67.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫اله‬ ‫األشكال‬ ‫بٌن‬ ‫العالقة‬‫ندسٌة‬ :‫أكمل‬ * 4.................. ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫الطكؿ‬ ‫في‬ ‫متساكية‬ ‫بعة‬‫ر‬‫األ‬ ‫األضالع‬ ) 5.................. ، ................. ‫مف‬ ‫كؿ‬ ‫في‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ ) 6............ ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫متعامداف‬ ‫اف‬‫ر‬‫القط‬ ).... 7............... ، ................... ‫مف‬ ‫كؿ‬ ‫في‬ ‫ائـ‬‫ك‬‫ق‬ ‫بع‬‫ر‬‫األ‬ ‫ايا‬‫ك‬‫الز‬ ) 8، ................. ، ................. ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ك‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬‫الق‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػاكيتاف‬‫ػ‬‫ػ‬‫س‬‫مت‬ ‫ػاف‬‫ػ‬‫ػ‬‫ت‬‫المتقابم‬ ‫ػاف‬‫ػ‬‫ػ‬‫ت‬‫اي‬‫ك‬‫الز‬ ) .................. ، ................... 9... ‫ػف‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫ػر‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫خ‬‫اآل‬ ‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫مني‬ ‫ػؿ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ك‬ ‫ػؼ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ص‬‫ين‬ ‫اف‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬‫الق‬ )، ................. ، .............. .................. ، ................... :‫قياسيما‬ ‫ع‬‫مجمك‬ ‫المتتاليتاف‬ ‫ايتاف‬‫ك‬‫الز‬ )4;3‫ق‬ ................. ، ................. ‫مف‬ ‫كؿ‬ ‫في‬ ;..................... ‫يسمى‬ ‫فإنو‬ ‫قائمة‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ايا‬‫ك‬‫ز‬ ‫إحدل‬ ‫كاف‬ ‫إذا‬ ) <‫ػا‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ت‬ ‫إذا‬ )‫ػمى‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫ي‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ن‬‫فإ‬ ،‫ػداف‬‫ػ‬‫ػ‬‫ػ‬‫م‬‫متعا‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ي‬‫ر‬‫قط‬ ‫ػاف‬‫ػ‬‫ػ‬‫ػ‬‫ك‬‫ك‬ ‫ػالع‬‫ػ‬‫ػ‬‫ػ‬‫ض‬‫األ‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػي‬‫ػ‬‫ػ‬‫ػ‬‫ف‬ ‫يف‬‫ر‬‫ػاك‬‫ػ‬‫ػ‬‫ػ‬‫ج‬‫مت‬ ‫ػمعيف‬‫ػ‬‫ػ‬‫ػ‬‫ض‬ ‫ال‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬ ‫كل‬ ................. 43................. = ‫اآلخر‬ ‫منيما‬ ‫كؿ‬ ‫ينصؼ‬ ‫اف‬‫ر‬‫القط‬ ‫فييا‬ ‫التي‬ ‫باعية‬‫ر‬‫ال‬ ‫األةكاؿ‬ ‫عدد‬ ) ‫متوازي‬ ‫األضالع‬ ‫مستطٌل‬ ‫معٌن‬ ‫مربع‬ ‫ضلعان‬ ‫متجاوران‬ ‫متساويان‬ ‫أو‬ ‫القطران‬ ‫متعامدان‬
  • 68.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫الحفظ‬ ‫مع‬ ‫مرة‬ ‫الهندسٌة‬ ‫األشكال‬ ‫من‬ ‫كل‬ ‫خواص‬ ‫كتابة‬ :‫الواجب‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬28‫رقم‬ )1،2–‫(ص‬29‫رقم‬ )5 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 69.
    19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الهندسٌة‬ ‫األشكال‬ ‫بٌن‬ ‫العالقات‬ ‫تابع‬ :‫التمهٌد‬ 1:‫المقابل‬ ‫الشكل‬ ً‫ف‬ ‫الزواٌا‬ ‫عدد‬ ‫كم‬ ) ‫ايا‬‫ك‬‫الز‬ ‫عدد‬.………………… ‫كىي‬……………،..……………،.…………… ……………،..……………،.…………… 2:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ ) ‫يككف‬ ‫متعامداف‬ ‫اه‬‫ر‬‫قط‬ ‫الذم‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ )‫أ‬…………… ‫كمت‬ ‫متساكياف‬ ‫اف‬‫ر‬‫القط‬ )‫ب‬‫في‬ ‫عامداف‬………………… :‫والمصطلحات‬ ‫المفاهٌم‬ )‫يف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫ع‬‫(مجمك‬ = ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬×5 ‫مثال‬1::‫ػؿ‬‫ب‬‫المقا‬ ‫ػكؿ‬‫ة‬‫ال‬ ‫في‬‫ب‬ ‫أ‬‫حــ‬‫ػو‬‫ي‬‫ف‬ ‫ػالع‬‫ض‬‫أ‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫د‬: = )‫(<أ‬ ‫ؽ‬83‫ق‬ =‫ب‬ ‫أ‬ ،7‫أ‬ ،‫سـ‬=‫د‬9،‫سـ‬ (‫ؽ‬<‫ب‬ ‫د‬‫حـ‬= )63‫ق‬ . :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ 4<(‫ؽ‬ )‫حـ‬‫ؽ(<أد‬ ،)‫د‬ ‫ب‬ ‫ؽ(<أ‬ ،)‫حـ‬‫د‬ ‫(<أ‬ ‫ؽ‬ ،).)‫ب‬ 5‫ب‬ ‫أ‬ ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬ )‫حـ‬.‫د‬ ‫الحل‬ 4<( ‫ؽ‬ )‫حـ‬= )‫(<أ‬ ‫ؽ‬ = )83‫ق‬ ‫متقابمتاف‬ ‫اكيتاف‬‫ز‬[‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫في‬] = )‫د‬ ‫ب‬ ‫ؽ(<أ‬4;3–(83+63= )4;3–;3=433‫ق‬ ]‫متتاليتاف‬ ‫اكيتاف‬‫ز‬[ ‫د‬ ‫ؽ(<أ‬‫حـ‬= )4;3–83=463‫ق‬ ]‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫في‬ ‫متتاليتاف‬ ‫اكيتاف‬‫ز‬[ <(‫ؽ‬= )‫ب‬ ‫د‬ ‫أ‬4;3–(83+433= )4;3–483=63‫ق‬ = ‫المثمث‬ ‫ايا‬‫ك‬‫ز‬ ‫ع‬‫(مجمك‬4;3‫ق‬ ) 5)‫يف‬‫ر‬‫متجاك‬ ‫ضمعيف‬ ‫ع‬‫(مجمك‬ = ‫األضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫محيط‬ )×5 =(7+9× )5 =43×5=53‫سـ‬ ‫أ‬ ‫ب‬ ‫ح‬ ‫ـ‬ ‫د‬ ‫هـ‬ ‫د‬ ‫حـ‬ ‫أ‬ ‫ب‬ 24ِ 34ِ
  • 70.
    24 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫المنحرف‬ ‫شبه‬.‫ياف‬‫ز‬‫ا‬‫ك‬‫مت‬ ‫متقابالف‬ ‫ضمعاف‬ ‫فيو‬ ‫باعي‬‫ر‬ ‫ةكؿ‬ ‫ىك‬ :‫تدرٌب‬ :‫المقابل‬ ‫الشكل‬ ً‫ف‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬<( ‫ؽ‬ :‫أكجد‬ .‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬<(‫ؽ‬ ،)‫د‬<(‫ؽ‬ ،)‫ػ‬‫ح‬ ‫أ‬ ‫ب‬)‫د‬ ‫ػ‬‫ح‬ ‫أ‬ ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫ا‬:‫الواجب‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬28‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫أن‬ ‫تذكر‬ ‫د‬ ‫حـ‬ ‫أ‬ ‫ب‬ 144 ِ 32ِ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬
  • 71.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫ت‬‫الهندسٌة‬ ‫األشكال‬ ‫على‬ ‫مارٌن‬ ‫تمرٌن‬1:‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬،:‫فيو‬ = ‫د‬ ‫ـ‬7= ‫د‬ ‫أ‬ ،‫سـ‬:= ‫ب‬ ‫أ‬ ،‫سـ‬9‫سـ‬، =)‫د‬ ‫أ‬ ‫ػ‬‫ح‬<(‫ؽ‬83‫ق‬ =)‫ػ‬‫ح‬ ‫ب‬ ‫ؽ(<أ‬ ،98‫ق‬ . :ً‫ٌأت‬ ‫ما‬ ‫أوجد‬ ‫ؽ(<أد‬ )‫أ‬‫حـ‬).)‫ػ‬‫ح‬ ‫أ‬ ‫ؽ(<ب‬ ،.‫د‬ ‫ب‬ ‫طكؿ‬ )‫ب‬6‫د‬ ‫ب‬ ‫أ‬ ‫المثمث‬ ‫محيط‬ ) ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫تمرٌن‬2::‫أكجد‬ ،‫أضالع‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫د‬ ‫ػ‬‫ح‬ ‫ب‬ ‫أ‬ ‫المقابؿ‬ ‫الةكؿ‬ ‫في‬ 4)‫ػ‬‫ح‬ ‫أ‬ ‫ؽ(<ب‬ )5)‫ػ‬‫ح‬ ‫د‬ ‫ؽ(<أ‬ ) ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ‫و‬ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬ 114 ِ 02ِ ‫أ‬ ‫ب‬‫حـ‬ ‫د‬
  • 72.
    27 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬‫(ص‬36‫رقم‬ )1،2-‫(ص‬45‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ............................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 73.
    23 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫البصرٌة‬ ‫األنماط‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫البصري‬ ‫النمط‬.‫معينة‬ ‫لقاعدة‬ ‫ا‬‫ن‬‫كفق‬ ‫الرمكز‬ ‫أك‬ ‫األةكاؿ‬ ‫مف‬ ‫تتابع‬ ‫ىك‬ ‫مثال‬1:‫وأكمل‬ ‫الحظ‬ : .............. ............ ‫ع‬ ‫س‬ ‫س‬ ‫ع‬ ‫س‬ ‫س‬ ‫ع‬ ‫س‬ ‫س‬ ‫مثال‬2:‫النمط‬ ‫وصف‬ ‫أكمل‬ : .................................. :‫النمط‬ ‫وصف‬‫ت‬‫الةكؿ‬ ‫ار‬‫ر‬‫ك‬ ‫مثاؿ‬6:‫النمط‬ ‫في‬ ‫التالي‬ ‫الةكؿ‬ ‫اكتب‬ : ............................. :‫وصفه‬ ‫واكتب‬ ‫تكراره‬ ‫وأكمل‬ ‫النمط‬ ‫اكتشف‬ :‫تدرٌب‬ 4)............................... .................... :‫النمط‬ ‫كصؼ‬........................ 5)................................. ............................................ :‫النمط‬ ‫كصؼ‬
  • 74.
  • 75.
    22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الحجوم‬ ‫قٌاس‬ ‫وحدات‬ :‫المجسمات‬ :ً‫ال‬‫أو‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫المجسم‬‫ي‬ ‫ما‬ ‫كؿ‬ ‫ىك‬.‫اغ‬‫ر‬‫الف‬ ‫مف‬ ‫حيز‬ ‫ةغؿ‬ ‫المجسمات‬ :‫المستطٌالت‬ ‫متوازي‬ .‫اصو‬‫ك‬‫خ‬ ‫منتظـ‬ ‫ىندسي‬ ‫مجسـ‬ ‫ىك‬ 4.‫مستطيؿ‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫أكجو‬ ‫ستة‬ ‫لو‬ ) 5‫لو‬ )45،‫حرؼ‬;.‫رؤكس‬ 6‫ي‬‫ز‬‫ا‬‫ك‬‫كمت‬ ‫المساحة‬ ‫في‬ ‫متساكييف‬ ‫متقابميف‬ ‫كجييف‬ ‫كؿ‬ )‫ي‬.‫ف‬ 7‫ن‬‫ف‬‫حر‬ ‫يسمى‬ ‫مستقيمة‬ ‫قطعة‬ ‫في‬ ‫يتقاطعاف‬ ‫كجييف‬ ‫كؿ‬ ).‫ا‬ :‫المكعب‬ ‫از‬‫ك‬‫مت‬ ‫ىك‬.‫الثالثة‬ ‫أبعاده‬ ‫تساكت‬ ‫مستطيالت‬ ‫م‬ 4.‫بع‬‫ر‬‫م‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫أكجو‬ ‫ستة‬ ‫لو‬ )5‫لو‬ )45.‫الطكؿ‬ ‫في‬ ‫متساكية‬ ‫جميعيا‬ ‫حرؼ‬ 6‫لو‬ );.‫رؤكس‬ ً‫هندس‬ ‫شكل‬ ‫لها‬ً‫هندس‬ ‫شكل‬ ‫لها‬ ‫لٌس‬
  • 76.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫الحجم‬.‫اغ‬‫ر‬‫الف‬ ‫مف‬ ‫الجسـ‬ ‫يةغمو‬ ‫الذم‬ ‫الحيز‬ ‫مقدار‬ ‫ىك‬ ‫الحجوم‬ ‫قٌاس‬ ‫وحدات‬ 4)‫الديسم‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4‫ديس‬( ‫ـ‬43.)‫سـ‬ 5)‫السم‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4.‫سـ‬ 6)‫م‬ ‫الـ‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4= ‫ـ‬433= ‫سـ‬43.‫ديسـ‬ 7)‫مم‬ ‫الـ‬3:‫فو‬‫ر‬‫ح‬ ‫طكؿ‬ ‫مكعب‬ ‫حجـ‬ ‫ىك‬4.‫مـ‬ :‫أكمل‬ 4)8‫سـ‬6‫مـ‬ ........ =65)4833‫مـ‬6‫سـ‬ ......... =6 6)3.334‫سـ‬6‫مـ‬ ........ =67)633333‫سـ‬6.... =‫مـ‬ .......6 8):333333‫سـ‬6‫ـ‬ ....... =69);8333333333‫مـ‬6‫........سـ‬ =6 :)57333‫ديسـ‬6‫......ـ‬ =6;)48‫ديسـ‬6‫مـ‬ ....... =6 :‫ا‬ًٌ‫تنازل‬ ‫رتب‬ 833333‫سـ‬683333‫ديسـ‬68‫ـ‬6 .................................................................................. ×0111×0111×0111 ÷0111÷0111÷0111 ‫و‬3‫ديسى‬3‫سى‬3‫يى‬3
  • 77.
    22 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬31‫رقم‬ )1،2
  • 78.
    21 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬31‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 79.
    29 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ‫المستطٌالت‬ ‫متوازي‬ ‫حجم‬ :‫التمهٌد‬‫لو‬ ‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬45،‫حرؼ‬7،‫طكؿ‬7،‫عرض‬7‫تفاع‬‫ر‬‫ا‬ ‫[الطكؿ‬ ‫بيا‬ ‫يقصد‬ ‫األبعاد‬]‫تفاع‬‫ر‬‫اال‬ ، ‫العرض‬ ، = ‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫حجـ‬‫الطكؿ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ ‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = ‫القاعدة‬ ‫مساحة‬ =×‫تفاع‬‫ر‬‫اال‬ ‫مثال‬1:‫طكلو‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬8‫كعرضو‬ ،‫سـ‬6‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،‫سـ‬5.‫سـ‬ .‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫حجـ‬ ‫أكجد‬ ‫الحل‬ ‫ال‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬‫طكؿ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ =8×6×5 =63‫سـ‬6 ‫مثال‬2:‫أبعاده‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬63،‫سـ‬5،‫ديسـ‬<.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ :ً‫ال‬‫أو‬‫التحكيؿ‬5= ‫ديسـ‬5×43=53‫سـ‬ ‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =63×53×<=8733‫سـ‬6 :‫تدرٌب‬‫قاعدتو‬ ‫مساحة‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬<‫سـ‬5‫تفاعو‬‫ر‬‫ا‬‫ك‬6.‫سـ‬ ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫تفاع‬‫ر‬‫اال‬ =<×6=5:‫سـ‬6 :‫التقوٌم‬ ‫طكلو‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬:‫كعرضو‬ ‫ديسـ‬5‫تفاعو‬‫ر‬‫ا‬‫ك‬ ‫متر‬6.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫الطكؿ‬=:= ‫ديسـ‬:×43=:3‫سـ‬ ‫ال‬‫عرض‬5= ‫متر‬5×433=533‫سـ‬= ‫تفاع‬‫ر‬‫اال‬6‫سـ‬ ‫الطكؿ‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫العرض‬×‫تفاع‬‫ر‬‫اال‬ =:3×533×6 =75333‫سـ‬6
  • 80.
    14 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬32‫رقم‬ )1،2،4 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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  • 81.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المستطٌالت‬ ‫متوازي‬ ‫حجم‬ ‫تابع‬ :‫أكمل‬ :‫المقابل‬ ‫الشكل‬ ‫من‬ :‫التمهٌد‬ ‫القاعدة‬ ‫مساحة‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫تفاع‬‫ر‬‫اال‬ ‫القاعدة‬ ‫مساحة‬‫الطكؿ‬ =×‫العرض‬ ‫االرتفاع‬=‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬÷‫القاعدة‬ ‫مساحة‬ ‫القاعدة‬ ‫طول‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫تفاع‬‫ر‬‫(اال‬×)‫العرض‬ ‫القاعدة‬ ‫عرض‬‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬ =÷‫(اال‬‫تفاع‬‫ر‬×)‫الطكؿ‬ ‫اااال‬‫ا‬‫مث‬1:‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫قاعد‬ ‫ػتطيالت‬‫ػ‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬‫ػمعيا‬‫ػ‬‫ػ‬‫ػ‬‫ض‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػو‬‫ػ‬‫ػ‬‫ػ‬‫ع‬‫ب‬‫ر‬‫م‬8،‫ػـ‬‫ػ‬‫ػ‬‫ػ‬‫س‬ ‫تفاه‬‫ر‬‫ا‬‫ك‬6.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ ‫الضمع‬ ‫طكؿ‬ = ‫القاعدة‬ ‫مساحة‬×‫نفسو‬ =8×8=58‫سـ‬ ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫حجـ‬×‫تفاع‬‫ر‬‫اال‬ =58×6=:8‫سـ‬6 ‫مثاؿ‬5‫ح‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ :‫جمو‬;43‫سـ‬6‫تفاعو‬‫ر‬‫ا‬‫ك‬ ،48‫كعرضو‬ ،‫سـ‬9.‫سـ‬ :‫أكجد‬4.‫القاعدة‬ ‫مساحة‬ )5.‫المستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫طكؿ‬ ) ‫الحل‬ ‫القاعدة‬ ‫مساحة‬‫الحجـ‬ =÷‫تفاع‬‫ر‬‫اال‬ =;43÷48=87‫سـ‬5 ‫القاعدة‬ ‫مساحة‬ = ‫م‬‫از‬‫ك‬‫المت‬ ‫طكؿ‬÷‫العرض‬ =87÷9=<‫سـ‬ ‫ااال‬‫ا‬‫مث‬3:‫ع‬ ‫ػندكؽ‬‫ػ‬‫ػ‬‫ص‬‫ػاده‬‫ػ‬‫ػ‬‫ع‬‫أب‬ ‫ػتطيالت‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫ػ‬‫م‬93،‫ػـ‬‫ػ‬‫ػ‬‫س‬7;،‫ػـ‬‫ػ‬‫ػ‬‫س‬57‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػع‬‫ػ‬‫ػ‬‫ط‬‫ق‬ ‫ػع‬‫ػ‬‫ػ‬‫ض‬‫ك‬ ‫اد‬‫ر‬‫ػ‬‫ػ‬‫ػ‬ُ‫ي‬ ‫ػـ‬‫ػ‬‫ػ‬‫س‬ ‫أبعادىا‬ ‫مستطيالت‬ ‫م‬‫از‬‫ك‬‫مت‬ ‫ةكؿ‬ ‫عمى‬ ‫منيا‬ ‫كؿ‬ ‫الصابكف‬43،‫سـ‬7،‫سـ‬6.‫سـ‬ :‫أوجد‬‫الصابكنة‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ ‫بالجنيو‬ ‫الصندكؽ‬ ‫كثمف‬ ،‫الصابكف‬ ‫قطع‬ ‫عدد‬83.‫قرش‬ ‫الحل‬ ‫الصندكؽ‬ ‫حجـ‬‫الثالثة‬ ‫أبعاده‬ ‫ضرب‬ ‫حاصؿ‬ = =93×7;×57=9<453‫سـ‬6 = ‫الصابكنة‬ ‫قطعة‬ ‫حجـ‬43×7×6=453‫سـ‬ ‫الصابكف‬ ‫قطع‬ ‫عدد‬=9<453÷453=8:9‫صابكنة‬ ‫الصندكؽ‬ ‫ثمف‬=8:9×83=5;;33‫ا‬‫ن‬‫ة‬‫قر‬ ‫بالجنيو‬ ‫الثمف‬=5;;33÷433=5;;‫جنيو‬ ÷÷ ×
  • 82.
    17 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬32‫رقم‬ )3،5–‫(ص‬33‫رقم‬ )6،7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. 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  • 83.
    13 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الخامس‬ ‫الدرس‬ ‫المكعب‬ ‫حجم‬ :‫المكعب‬ :‫التمهٌد‬‫ا‬‫ك‬‫مت‬ ‫ىك‬.‫الثالثة‬ ‫أبعاده‬ ‫تساكت‬ ‫مستطيالت‬ ‫م‬‫ز‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫المكعب‬ ‫حجـ‬×‫نفسو‬×‫نفسو‬ :‫المكعب‬ ‫حرف‬ ‫طول‬ ‫إٌجاد‬ 1:‫يكون‬ ،‫األحرف‬ ‫ع‬‫مجمو‬ ‫عمم‬ ‫إذا‬ ) ‫األحرؼ‬ ‫ع‬‫مجمك‬ = ‫الحرؼ‬ ‫طكؿ‬÷45 2:‫يكون‬ ،‫أوجهه‬ ‫أحد‬ ‫محيط‬ ‫أو‬ ،‫القاعدة‬ ‫محيط‬ ‫عمم‬ ‫إذا‬ ) ‫القاعدة‬ ‫محيط‬ = ‫الحرؼ‬ ‫طكؿ‬÷7 3‫مساحة‬ ‫عمم‬ ‫إذا‬ ):‫يكون‬ ،‫أوجهه‬ ‫أحد‬ ‫مساحة‬ ‫أو‬ ‫المكعب‬ ‫قاعدة‬ ‫الحرؼ‬ ‫طكؿ‬‫ىك‬‫ضرب‬ ‫إذا‬ ‫عدد‬×.‫المساحة‬ ‫يعطي‬ ‫نفسو‬ = ‫الحرؼ‬ ‫طكؿ‬‫المساحة‬(‫لمتأكيد‬)‫اآللة‬ ‫باستخداـ‬ 4:‫يكون‬ ،‫المكعب‬ ‫حجم‬ ‫عمم‬ ‫إذا‬ ) ‫ضرب‬ ‫إذا‬ ‫عدد‬ ‫ىك‬ ‫الحرؼ‬ ‫طكؿ‬×‫نفسو‬×‫الحجـ‬ ‫يعطي‬ ‫نفسو‬ = ‫الحرؼ‬ ‫طكؿ‬‫الحجـ‬shift(‫ل‬‫متأكي‬)‫اآللة‬ ‫باستخداـ‬ ‫د‬ :‫ولذلك‬.‫األكلية‬ ‫اممو‬‫ك‬‫ع‬ ‫إلى‬ ‫الحجـ‬ ‫بتحميؿ‬ ‫تقكـ‬ ‫الحجـ‬ ‫عمـ‬ ‫إذا‬ ‫مثال‬1:‫حرفو‬ ‫طكؿ‬ ‫مكعب‬8.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:= ‫الحرؼ‬ ‫طكؿ‬8‫س‬‫ـ‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫الحجـ‬×‫نفسو‬×‫نفسو‬ =8×8×8=458‫سـ‬6 ‫مثال‬2:‫أحرفو‬ ‫ع‬‫مجمك‬ ‫مكعب‬43;.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:‫ط‬............................................... = ‫الحرؼ‬ ‫كؿ‬ ............................................... = ‫الحجـ‬............................................... = ‫مثال‬3:‫أكجيو‬ ‫أحد‬ ‫مساحة‬ ‫مكعب‬69‫سـ‬5.‫حجمو‬ ‫أكجد‬ . ‫الحل‬:‫الحرؼ‬ ‫طكؿ‬=9‫سـ‬ ........................................................ = ‫الحجـ‬ ‫مثال‬4:‫قاعدتو‬ ‫محيط‬ ‫مكعب‬5;.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬:‫المحيط‬ = ‫الحرؼ‬ ‫طكؿ‬÷7 ............................................ = ...................................... = ‫المكعب‬ ‫حجـ‬...... ‫مثال‬5:‫حجمو‬ ‫مكعب‬549‫سـ‬6.‫حرفو‬ ‫طكؿ‬ ‫أكجد‬ . ‫الحل‬:= ‫الحرؼ‬ ‫طكؿ‬5×6=9‫سـ‬ 36 = 6 ‫اآلنح‬ ‫تاستخذاو‬ 7117 1417 207 723 93 33 1 3 7
  • 84.
    10 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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.................................................................................................................................................................................................................................................................................................................................
  • 85.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫المكعب‬ ‫حجم‬ :‫تابع‬ :‫التمهٌد‬4‫ع‬‫مجمك‬ ‫مكعب‬ ):‫أحرفو‬ ‫مف‬ ‫أحرؼ‬;7.‫حجمو‬ ‫أكجد‬ .‫سـ‬ ‫الحل‬ .................................................................. .................................................................. 5‫حجمو‬ ‫مكعب‬ )4:5;‫سـ‬6‫أكجد‬ .‫حرفو‬ ‫طكؿ‬. ‫الحل‬ .................................................................. .................................................................. ‫مثااال‬1:‫ػا‬‫ػ‬‫ي‬‫حرف‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػة‬‫ػ‬‫ب‬‫عم‬;‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػب‬‫ػ‬‫س‬‫اح‬ .‫ػالعطر‬‫ػ‬‫ب‬ ‫ػأة‬‫ػ‬‫ب‬‫مع‬ ‫ػـ‬‫ػ‬‫س‬6‫ػف‬‫ػ‬‫م‬‫ث‬ ‫ػاف‬‫ػ‬‫ك‬ ‫إذا‬ ‫ػب‬‫ػ‬‫م‬‫ع‬ ‫السـ‬6‫احد‬‫ك‬‫ال‬3.58.‫جنيو‬ ‫الحل‬ = ‫الحرؼ‬ ‫طكؿ‬;‫سـ‬ = ‫العمبة‬ ‫حجـ‬;×;×;=845‫سـ‬6 = ‫احدة‬‫ك‬‫ال‬ ‫العمبة‬ ‫سعر‬845×3.58=45;‫جنيو‬ ‫سعر‬6= ‫عمب‬45;×6=6;7‫جنيو‬ ‫تمرٌن‬1:‫ب‬ُ‫ص‬;733‫سـ‬6‫ػتطيالت‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ة‬ ‫عمى‬ ‫إناء‬ ‫في‬ ‫الماء‬ ‫مف‬‫ػاده‬‫ع‬‫أب‬ ‫الداخمية‬68،‫سـ‬53،‫سـ‬78.‫سـ‬ :‫أوجد‬4‫اإل‬ ‫في‬ ‫الماء‬ ‫تفاع‬‫ر‬‫ا‬ ).‫ناء‬5.‫ا‬‫ن‬‫تمام‬ ‫اإلناء‬ ‫لمأل‬ ‫إضافتو‬ ‫الالزـ‬ ‫الماء‬ ‫حجـ‬ ) ‫الحل‬ ‫الماء‬ ‫حجـ‬ = ‫الماء‬ ‫تفاع‬‫ر‬‫ا‬÷‫القاعدة‬ ‫مساحة‬ =;733( ÷68×53) =;733÷:33=45‫سـ‬ = ‫كمو‬ ‫اإلناء‬ ‫حجـ‬68×53×78=64833‫سـ‬6 = ‫إضافتو‬ ‫الالزـ‬ ‫الماء‬ ‫حجـ‬64833-;733=56433‫سـ‬6
  • 86.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫اارٌن‬‫ا‬‫تم‬3:‫ػو‬‫ػ‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ػ‬‫ة‬‫ال‬ ‫ػب‬‫ػ‬‫ػ‬‫ع‬‫مك‬ ‫ػكف‬‫ػ‬‫ػ‬‫ت‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ػندكؽ‬‫ػ‬‫ػ‬‫ص‬83‫ػتاؿ‬‫ػ‬‫ػ‬‫س‬‫ي‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫ػ‬‫م‬ ‫ة‬‫ز‬‫ػا‬‫ػ‬‫ػ‬‫ف‬ ‫ػو‬‫ػ‬‫ػ‬‫م‬‫بداخ‬ ‫ػع‬‫ػ‬‫ػ‬‫ض‬‫ك‬ ،‫ػـ‬‫ػ‬‫ػ‬‫س‬ ‫ػر‬‫ػ‬‫س‬‫الك‬ ‫ػف‬‫ػ‬‫م‬ ‫ػا‬‫ػ‬‫ي‬‫كلحمايت‬‫ػ‬‫ػ‬‫ت‬‫ػو‬‫ػ‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػكؿ‬‫ػ‬‫ة‬‫ال‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكف‬‫ػ‬‫ت‬‫ر‬‫الك‬ ‫ػف‬‫ػ‬‫م‬ ‫ػر‬‫ػ‬‫خ‬‫آ‬ ‫ػندكؽ‬‫ػ‬‫ص‬ ‫ػؿ‬‫ػ‬‫خ‬‫دا‬ ‫ػندكؽ‬‫ػ‬‫ص‬‫ال‬ ‫ػع‬‫ػ‬‫ض‬‫ك‬ ‫ـ‬ 93.‫لذلؾ‬ ‫المستخدـ‬ ‫الفيبر‬ ‫حجـ‬ ‫احسب‬ .‫بالفيبر‬ ‫الجيات‬ ‫جميع‬ ‫مف‬ ‫اغ‬‫ر‬‫الف‬ ‫مأل‬ ‫ثـ‬ ،‫سـ‬ ‫الحل‬ ‫ا‬ ‫الصندكؽ‬ ‫حجـ‬= ‫ألكؿ‬83×83×83=458333‫سـ‬6 = ‫الثاني‬ ‫الصندكؽ‬ ‫حجـ‬93×93×93=549333‫سـ‬6 ‫األكؿ‬ ‫الصندكؽ‬ ‫حجـ‬ = ‫الفيبر‬ ‫حجـ‬–‫الثاني‬ ‫الصندكؽ‬ ‫حجـ‬ =549333–458333=<4333‫سـ‬6 ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )4،5 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 87.
    12 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الحجوم‬ ‫على‬ ‫عامة‬ ‫تمارٌن‬ :‫التمهٌد‬( + ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬5×)‫مؾ‬ُ‫الس‬ ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬–(5×)‫مؾ‬ُ‫الس‬ ‫تمرٌن‬1:‫أكجيو‬ ‫مساحة‬ ‫مكعب‬87‫سـ‬5.‫حجمو‬ ‫أكجد‬ . ‫الحل‬ ........................................................................... ........................................................................... ........................................................................... ‫ارٌن‬‫ا‬‫تم‬2:‫ػداخمي‬‫ػ‬‫ل‬‫ا‬ ‫ػو‬‫ػ‬‫ف‬‫حر‬ ‫ػكؿ‬‫ػ‬‫ط‬ ‫ػاف‬‫ػ‬‫ك‬ ‫ػإذا‬‫ػ‬‫ف‬ ،‫ػاج‬‫ػ‬‫ج‬‫الز‬ ‫ػف‬‫ػ‬‫م‬ ‫ع‬‫ػنك‬‫ػ‬‫ص‬‫م‬ ‫ػب‬‫ػ‬‫ع‬‫مك‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػة‬‫ػ‬‫ن‬‫ي‬‫ز‬‫ال‬ ‫ػماؾ‬‫ػ‬‫س‬‫أل‬ ‫ػكض‬‫ػ‬‫ح‬ 98‫حج‬ ‫أكجد‬ .‫سـ‬‫الزجاج‬ ‫مؾ‬ُ‫س‬ ‫كاف‬ ‫إذا‬ ‫الحكض‬ ‫منو‬ ‫ع‬‫المصنك‬ ‫الزجاج‬ ‫ـ‬83.‫ممميمتر‬ ‫الحل‬ = ‫التحكيؿ‬83÷433=3.8‫سـ‬ ( + ‫الداخمي‬ ‫الحرؼ‬ ‫طكؿ‬ = ‫جي‬‫الخار‬ ‫الحرؼ‬ ‫طكؿ‬5×)‫مؾ‬ُ‫الس‬ =98( +5×3.8= )98+4=99‫سـ‬ ‫جي‬‫الخار‬ ‫الحجـ‬.......................................... =................. ‫الداخمي‬ ‫الحجـ‬............................................................ = ‫جي‬‫الخار‬ ‫الحجـ‬ = ‫الزجاج‬ ‫حجـ‬–‫الداخمي‬ ‫الحجـ‬ ...................................................................... = ........................ =..............................................
  • 88.
    11 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬34‫رقم‬ )6–(‫ص‬37‫رقم‬ )4،7،8،9 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 89.
    19 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السادس‬ ‫الدرس‬ ‫السعة‬ :‫والمصطلحات‬ ‫المفاهٌم‬ :‫السعة‬.‫سعة‬ ‫أجكؼ‬ ‫مجسـ‬ ‫ألم‬ ‫الداخمي‬ ‫اغ‬‫ر‬‫الف‬ ‫حجـ‬ ‫ىي‬ :‫اإلناء‬ ‫سعة‬.‫ا‬‫ن‬‫تمام‬ ‫يممؤه‬ ‫الذم‬ ‫السائؿ‬ ‫حجـ‬ ‫ىي‬ :‫السعة‬ ‫قٌاس‬ ‫وحدة‬‫المتر‬ ‫السعة‬ ‫قٌاس‬ ‫وحدات‬ ‫مثال‬1:ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ : 4)8933‫سـ‬6‫لتر‬ ......... =5)3.56‫ـ‬6......... =‫لتر‬ . 6)<.85‫ديسـ‬6‫لتر‬ ....... =7)7.96‫..........سـ‬ = ‫لتر‬6 :ً‫ٌأت‬ ‫ما‬ ‫أكمل‬ :‫تدرٌب‬ 4)88‫ممم‬‫سـ‬ ...... =‫يتر‬65)3.99‫ـ‬6‫لتر‬ ....... = 6)6.58‫ـ‬6‫ديسـ‬ ...... =67)8:33‫مـ‬6‫ممميتر‬ .... = ‫تمرٌن‬1: ‫الداخؿ‬ ‫مف‬ ‫حرفو‬ ‫طكؿ‬ ‫مكعب‬ ‫ةكؿ‬ ‫عمى‬ ‫إناء‬63‫ال‬ ‫يت‬‫ز‬‫ب‬ ‫مؿء‬ ‫سـ‬.‫طعاـ‬ 4.‫الطعاـ‬ ‫يت‬‫ز‬ ‫مف‬ ‫سعتو‬ ‫احسب‬ ) 5‫احد‬‫ك‬‫ال‬ ‫المتر‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ )<.8.‫كمو‬ ‫يت‬‫ز‬‫ال‬ ‫ثمف‬ ‫احسب‬ .‫ا‬‫ن‬‫جنيي‬ ‫الحل‬ ......................................................... ......................................................... ......................................................... ‫و‬3 ‫يتر‬ =3 ‫يى‬3 ‫ديسى‬3 )‫(نتر‬ ‫سى‬3 )‫(يههيتر‬
  • 90.
    94 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬35‫رقم‬ )1،2،3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 91.
    91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫السعة‬ :‫تابع‬ ‫تمرٌن‬1:‫بو‬ ‫كعاء‬45‫ػا‬‫ي‬‫من‬ ‫ػؿ‬‫ك‬ ‫ػعة‬‫س‬ ‫ة‬‫ر‬‫ػغي‬‫ص‬ ‫ػات‬‫ج‬‫زجا‬ ‫في‬ ‫يغيا‬‫ر‬‫تف‬ ‫اد‬‫ر‬ُ‫ي‬ ‫العسؿ‬ ‫مف‬ ‫لتر‬733‫ػـ‬‫س‬6‫ػب‬‫س‬‫اح‬ . .‫لذلؾ‬ ‫الالزمة‬ ‫الزجاجات‬ ‫عدد‬ ‫الحؿ‬ ‫بالسـ‬ ‫الكعاء‬ ‫سعة‬6=45×4333=45333‫سـ‬6 = ‫الزجاجات‬ ‫عدد‬45333÷7=63‫زجاجة‬ ‫تمرٌن‬2:‫ػ‬‫ي‬‫الداخم‬ ‫ػاده‬‫ع‬‫أب‬ ‫ػتطيالت‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ة‬ ‫ػى‬‫م‬‫ع‬ ‫ػباحة‬‫س‬ ‫ػاـ‬‫م‬‫ح‬‫ة‬73،‫ـ‬63،‫ـ‬4.;‫ػعتو‬‫س‬ ‫ػب‬‫س‬‫اح‬ .‫ـ‬ .‫ات‬‫ر‬‫بالمت‬ ‫الحل‬ ......................................................... ......................................................... ......................................................... ‫ارٌن‬‫ا‬‫تم‬3:‫ػتطيالت‬‫ػ‬‫س‬‫م‬ ‫م‬‫از‬‫ك‬‫ػ‬‫ػ‬‫ت‬‫م‬ ‫ػكؿ‬‫ػ‬‫ة‬ ‫ػى‬‫ػ‬‫م‬‫ع‬ ‫ػاء‬‫ػ‬‫ن‬‫إ‬‫ػو‬‫ػ‬‫ت‬‫قاعد‬ ‫ػدا‬‫ػ‬‫ع‬‫ب‬58،‫ػـ‬‫ػ‬‫س‬63‫ػو‬‫ػ‬‫ع‬‫تفا‬‫ر‬‫ا‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬75‫ػعت‬‫ػ‬‫ض‬‫ك‬ ،‫ػـ‬‫ػ‬‫س‬ ‫تفاعيا‬‫ر‬‫ا‬ ‫الر‬‫ك‬‫الس‬ ‫مف‬ ‫كمية‬ ‫بداخمو‬.‫اإلناء‬ ‫تفاع‬‫ر‬‫ا‬ :‫احسب‬4.‫باإلناء‬ ‫الر‬‫ك‬‫الس‬ ‫حجـ‬ ) 5‫احد‬‫ك‬‫ال‬ ‫المتر‬ ‫ثمف‬ ‫كاف‬ ‫إذا‬ ‫الر‬‫ك‬‫لمس‬ ‫الكمي‬ ‫الثمف‬ )4.5.‫جنيو‬ ‫الحل‬ = ‫الر‬‫ك‬‫الس‬ ‫تفاع‬‫ر‬‫ا‬×75=47‫سـ‬ ‫الر‬‫ك‬‫الس‬ ‫حجـ‬= ‫بالمتر‬43833÷4333=43.8‫لتر‬ = ‫الر‬‫ك‬‫الس‬ ‫ثمف‬43.8×4.5=45.9‫جنيو‬ 1 3 1 3
  • 92.
    97 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬35‫رقم‬ )4–‫(ص‬45‫رقم‬ )7 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. 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................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 93.
    93 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابعة‬ ‫الوحدة‬ ‫األول‬ ‫الدرس‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫أنواع‬ 4):‫اافٌة‬‫ا‬‫وص‬ ‫ااات‬‫ا‬‫بٌان‬‫ػكف‬‫ػ‬‫ػ‬‫م‬‫ال‬ :‫ػؿ‬‫ػ‬‫ػ‬‫ث‬‫م‬ ،‫ػع‬‫ػ‬‫ػ‬‫م‬‫المجت‬ ‫اد‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ف‬‫أ‬ ‫ػة‬‫ػ‬‫ػ‬‫ل‬‫حا‬ ‫ػؼ‬‫ػ‬‫ػ‬‫ص‬‫لك‬ ‫ػفات‬‫ػ‬‫ػ‬‫ص‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ص‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػب‬‫ػ‬‫ػ‬‫ت‬‫تك‬ ‫ػات‬‫ػ‬‫ػ‬‫ن‬‫بيا‬ ‫ػي‬‫ػ‬‫ػ‬‫ى‬ .‫الجنسية‬ ،‫االجتماعية‬ ‫الحالة‬ ،‫الميالد‬ ‫مكاف‬ ،‫المفضؿ‬ ‫األكؿ‬ ،‫المفضؿ‬ 5):‫كمٌااة‬ ‫بٌانااات‬‫ق‬ ‫ػف‬‫ػ‬‫ع‬ ‫ػر‬‫ػ‬‫ي‬‫لمتعب‬ ‫ػداد‬‫ػ‬‫ع‬‫أ‬ ‫ة‬‫ر‬‫ػك‬‫ػ‬‫ػ‬‫ص‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػب‬‫ػ‬‫ت‬‫تك‬ ‫ػات‬‫ػ‬‫ن‬‫بيا‬ ‫ػي‬‫ػ‬‫ػ‬‫ى‬،‫ػر‬‫ػ‬‫ػ‬‫م‬‫الع‬ :‫ػؿ‬‫ػ‬‫ث‬‫م‬ ،‫ػة‬‫ػ‬‫ن‬‫معي‬ ‫ة‬‫ر‬‫ػاى‬‫ػ‬‫ظ‬ ‫ػاس‬‫ػ‬‫ػ‬‫ي‬ .‫ة‬‫ر‬‫ا‬‫ر‬‫الح‬ ‫درجة‬ ،‫الميالد‬ ‫يخ‬‫ر‬‫تا‬ ،‫الحذاء‬ ‫مقاس‬ ،‫الكزف‬ ،‫الطكؿ‬ 6):‫البٌانات‬ ‫استمارة‬‫ػيف‬‫ع‬‫م‬ ‫ػخص‬‫ة‬ ‫ػص‬‫خ‬‫ت‬ ‫ػة‬‫ي‬‫الكم‬‫ك‬ ‫ػفية‬‫ص‬‫الك‬ ‫ػات‬‫ن‬‫البيا‬ ‫ػف‬‫م‬ ‫ػة‬‫ع‬‫مجمك‬ ‫ػمف‬‫ض‬‫تت‬ ‫ة‬‫ر‬‫استما‬ ‫ىي‬ .‫معيف‬ ‫كةيء‬ 7):‫البٌانات‬ ‫قاعدة‬‫األة‬ ‫مف‬ ‫عدد‬ ‫تخص‬ ‫الكمية‬‫ك‬ ‫الكصفية‬ ‫البيانات‬ ‫مف‬ ‫مجمكعة‬ ‫ىي‬.‫المؤسسات‬‫ك‬ ‫خاص‬
  • 94.
    90 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬42،43) ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 95.
    92 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫الثان‬ ‫الدرس‬ ‫الوصفٌة‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫تجمٌع‬ ‫بو‬ ‫فصؿ‬ :‫مثاؿ‬69‫ػس‬‫م‬‫خ‬ ‫ػيف‬‫ب‬ ‫ػف‬‫م‬ ‫ػنيـ‬‫م‬ ‫ػؿ‬‫ك‬ ‫ػميا‬‫ض‬‫يف‬ ‫ػي‬‫ت‬‫ال‬ ‫ػة‬‫ي‬‫ا‬‫ك‬‫الي‬ ‫ػجيؿ‬‫س‬‫ت‬ ‫ػؿ‬‫ص‬‫الف‬ ‫ػد‬‫ئ‬‫ا‬‫ر‬ ‫ػنيـ‬‫م‬ ‫ػب‬‫م‬‫ط‬ ‫ا‬‫ن‬‫ذ‬‫تممي‬ ‫ػاء‬‫ػ‬‫ػ‬‫ن‬‫[الغ‬ :‫ػي‬‫ػ‬‫ػ‬‫ى‬ ،‫ػات‬‫ػ‬‫ػ‬‫ي‬‫ا‬‫ك‬‫ى‬–‫ػـ‬‫ػ‬‫ػ‬‫س‬‫الر‬–‫ػؿ‬‫ػ‬‫ػ‬‫ي‬‫التمث‬–‫اءة‬‫ر‬‫ػ‬‫ػ‬‫ػ‬‫ق‬‫ال‬–،‫ػات‬‫ػ‬‫ػ‬‫ي‬‫ا‬‫ك‬‫الي‬ ‫ػؾ‬‫ػ‬‫ػ‬‫م‬‫ت‬ ‫ػي‬‫ػ‬‫ػ‬‫ف‬ ‫ػابقة‬‫ػ‬‫ػ‬‫س‬‫م‬ ‫ػيـ‬‫ػ‬‫ػ‬‫ظ‬‫لتن‬ ]‫ػزؼ‬‫ػ‬‫ػ‬‫ع‬‫ال‬ :‫التالي‬ ‫النحك‬ ‫عمى‬ ‫البيانات‬ ‫فكانت‬ ‫رسـ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫غناء‬–‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫رسـ‬ ‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫عزؼ‬–‫عزؼ‬–‫تمثيؿ‬–‫غناء‬–‫اءة‬‫ر‬‫ق‬–‫رسـ‬ ‫تمثيؿ‬–‫رسـ‬–‫غناء‬–‫عزؼ‬–‫رسـ‬–‫تمثيؿ‬–‫رسـ‬–‫اءة‬‫ر‬‫ق‬ ‫اءة‬‫ر‬‫ق‬–‫رسـ‬–‫تمثيؿ‬–‫اءة‬‫ر‬‫ق‬–‫رسـ‬–‫غناء‬–‫رسـ‬–‫اءة‬‫ر‬‫ق‬ ‫غناء‬–‫تمثيؿ‬–‫رسـ‬–‫عزؼ‬ ‫جدكؿ‬ ‫ككف‬ *:‫م‬‫ار‬‫ر‬‫التك‬ ‫يع‬‫ز‬‫التك‬ ‫جدكؿ‬ ‫اكتب‬ ‫ثـ‬ ،‫م‬‫ار‬‫ر‬‫تك‬ ‫بيانات‬ ‫يغ‬‫ر‬‫تف‬ ‫العالمات‬ ‫تفرٌع‬ ‫جدول‬ ‫الهواٌة‬‫العالمات‬‫العدد‬ ‫الغناء‬........................... ‫الرسـ‬........................... ‫التمثيؿ‬........................... ‫اءة‬‫ر‬‫الق‬........................... ‫العزؼ‬........................... ‫التكراري‬ ‫التوزٌع‬ ‫جدول‬ ‫انهىايح‬‫انغُاء‬‫انرسى‬‫انتًثيم‬‫انقراءج‬‫انعسف‬‫انًجًىع‬
  • 96.
    91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬44‫رقم‬ )1،2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 97.
    92 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الثالث‬ ‫الدرس‬ ‫الكمٌة‬ ‫اإلحصائٌة‬ ‫البٌانات‬ ‫تجمٌع‬ ‫قيمة‬ ‫أكبر‬ = ‫المدل‬–‫قيمة‬ ‫أصغر‬ = ‫المجمكعات‬ ‫عدد‬ ‫ػدل‬‫ػ‬‫ح‬‫بإ‬ ‫ػادس‬‫ػ‬‫س‬‫ال‬ ‫ػؼ‬‫ػ‬‫ص‬‫ال‬ ‫ػكؿ‬‫ػ‬‫ص‬‫ف‬ ‫ػد‬‫ػ‬‫ح‬‫أ‬ ‫ػذ‬‫ػ‬‫ي‬‫لتالم‬ ‫ػي‬‫ػ‬‫س‬‫ا‬‫ر‬‫الد‬ ‫ػاـ‬‫ػ‬‫ع‬‫ال‬ ‫ػة‬‫ػ‬‫ي‬‫نيا‬ ‫ػي‬‫ػ‬‫ف‬ ‫ػيات‬‫ػ‬‫ض‬‫يا‬‫ر‬‫ال‬ ‫ػادة‬‫ػ‬‫م‬ ‫ػائج‬‫ػ‬‫ت‬‫ن‬ ‫ػر‬‫ػ‬‫ص‬‫ح‬ ‫ػـ‬‫ػ‬‫ت‬ ‫كعددىـ‬ ‫المدارس‬75:‫يمي‬ ‫كما‬ ‫درجاتيـ‬ ‫فكانت‬ ،‫ا‬‫ن‬‫ذ‬‫تممي‬ ،‫العظمى‬ ‫النياية‬ ‫درجة‬ ‫مف‬‫كىي‬93:‫درجة‬ 69–65–75–6;–78–5;–75 8:–53–74–8<–7<–7;–79 73–7;–84–86–87–88–69 66–77–8:–87–79–85–59 6:–63–67–7:–68–77–5< 7<–7<–83–56–76–6<–76 ‫الحل‬ ‫تح‬‫قيمة‬ ‫أصغر‬‫ك‬ ‫قيمة‬ ‫أكبر‬ ‫ديد‬ = ‫قيمة‬ ‫أكبر‬8< = ‫قيمة‬ ‫أصغر‬5 = ‫المدل‬8<–53=6< = ‫المجمكعة‬ ‫طكؿ‬ ‫تحديد‬8‫درجات‬ = = = ‫المجمكعات‬ ‫عدد‬:=;‫مجمكعات‬ :‫البٌانات‬ ‫تفرٌغ‬ ‫جدول‬ ‫الدرجات‬ ‫مجموعة‬‫العالمات‬‫التكرار‬ 53- 58- 63- 68- 73- 78- 83- ‫ع‬‫المجمك‬ ‫انًذي‬ ‫انًجًىعح‬ ‫طىل‬ ‫انًذي‬ ‫انًجًىعح‬ ‫طىل‬ 39 2 0 2
  • 98.
    91 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ :‫التكراري‬ ‫التوزٌع‬ ‫جدول‬ ‫المجم‬‫وعة‬53-58-63-68-73-78-83-88-‫ع‬‫المجمك‬ ‫التكرار‬ :‫اآلتٌة‬ ‫األسئلة‬ ‫عن‬ ‫أجب‬ ‫ثم‬ ،‫التكراري‬ ‫الجدول‬ ‫اكتب‬ ‫ثم‬ ،‫التكراري‬ ‫التفرٌغ‬ ‫جدول‬ ‫كون‬ * 4‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ ‫ما‬ )83‫التالميذ؟‬ ‫الء‬‫ؤ‬‫لي‬ ‫المئكية‬ ‫النسبة‬ ‫كما‬ ‫فأكثر؟‬ ‫درجة‬ .................................................................................................... .................................................................................................... 5‫ال‬ ‫النسبة‬ ‫كما‬ ‫نظرؾ؟‬ ‫كجية‬ ‫مف‬ ‫الدرجات‬ ‫أقؿ‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ ‫ما‬ )‫ليـ؟‬ ‫مئكية‬ .................................................................................................... 6‫ياضيات؟‬‫ر‬‫ال‬ ‫مادة‬ ‫في‬ ‫زمالئؾ‬ ‫تنصم‬ َ‫ـ‬ِ‫ب‬ ) .................................................................................................... ‫ا‬‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫لواجب‬45‫رقم‬ )1–‫(ص‬46‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 99.
    99 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫الرابع‬ ‫الدرس‬ ‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ ‫تمثٌل‬ :‫والمصطلحات‬ ‫المفاهٌم‬ = ‫المجمكعة‬ ‫مركز‬ ‫مثال‬1:‫لدرجات‬ ‫تكرار‬ ‫توزٌع‬ ‫ٌمثل‬ ً‫اآلت‬ ‫الجدول‬75:‫تلمٌذ‬ ‫المجموعة‬43-53-63-73-83-93-‫ع‬‫المجمك‬ ‫التكرار‬9;4548434<:3 4‫ث‬ ،‫م‬‫ار‬‫ر‬‫التك‬ ‫بالمنحنى‬ ‫السابقة‬ ‫البيانات‬ ‫مثؿ‬ ):‫األسئمة‬ ‫عف‬ ‫أجب‬ ‫ـ‬ ‫مف‬ ‫أقؿ‬ ‫عمى‬ ‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬ )‫أ‬63.‫درجة‬ )‫ب‬‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬‫عمى‬73.‫فأكثر‬ ‫درجة‬ ‫مف‬ ‫درجات‬ ‫عمى‬ ‫الحاصميف‬ ‫لمتالميذ‬ ‫المئكية‬ ‫النسبة‬ )‫ج‬53‫مف‬ ‫أقؿ‬‫ك‬ ‫درجة‬73.‫درجة‬ ‫الحل‬ = ‫التالميذ‬ ‫عدد‬ )‫أ‬9+;=47‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬ )‫ب‬48+43+4<=77‫تمميذ‬ = ‫التالميذ‬ ‫عدد‬ )‫ج‬;+45=53‫تمميذ‬ = ‫المئكية‬ ‫النسبة‬×433= %5;.8% ‫َهايتها‬ + ‫انًجًىعح‬ ‫تذايح‬ 7 74 24
  • 100.
    144 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫المجموعة‬ ‫مركز‬ ‫جدول‬ ‫تكوٌن‬ ‫المجموعة‬‫المجموعة‬ ‫مركز‬‫التكرار‬‫الممثلة‬ ‫النقطة‬ ‫للمجموعة‬ 43-9(48،9) 53-;(58،;) 63-45 73-48 83-43 93-4< ‫تمثٌل‬‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ 14+74 7 =12 74+34 7 =72
  • 101.
    141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫(ص‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬47‫رقم‬ )1 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 102.
  • 103.
    143 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ‫التكراري‬ ‫بالمنحنى‬ ‫البٌانات‬ ‫تمثٌل‬ ‫على‬ ‫تمارٌن‬ ‫تمرٌن‬1: 4‫درجات‬ ‫كانت‬ ‫إذا‬ )[ ‫بيف‬ ‫ح‬‫اك‬‫ر‬‫تت‬ ‫التالميذ‬53،85.‫درجة‬ ] .‫لمدرجات‬ ‫المدل‬ :‫أكجد‬ ‫الحل‬ = ‫المدل‬85–53=65‫درجة‬ 5‫درجات‬ ‫كانت‬ ‫إذا‬ )9‫ىي‬ ‫االمتحانات‬ ‫أحد‬ ‫في‬ ‫تالميذ‬5<،66،8:،73،69،7<، .‫الدرجات‬ ‫ليذه‬ ‫المدل‬ ‫فأكجد‬ ‫الحل‬ ........ = ‫درجة‬ ‫أكبر‬،....... = ‫درجة‬ ‫أصغر‬ .................................. = ‫المدل‬ ‫تمرٌن‬2:‫لدرجات‬ ‫م‬‫ار‬‫ر‬‫تك‬ ‫يع‬‫ز‬‫تك‬ ‫يمثؿ‬ ‫اآلتي‬ ‫الجدكؿ‬83:‫االمتحانات‬ ‫أحد‬ ‫في‬ ‫تمميذ‬ ‫المجموعة‬3-43-53-63-73-83-‫الم‬‫ع‬‫جمك‬ ‫التكرار‬7:;4744983 4:‫األسئمة‬ ‫عف‬ ‫أجب‬ ‫ثـ‬ ،‫م‬‫ار‬‫ر‬‫التك‬ ‫بالمنحنى‬ ‫السابقة‬ ‫البيانات‬ ‫مثؿ‬ ) ‫مف‬ ‫أقؿ‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ )‫أ‬63.‫درجة‬ ‫عمى‬ ‫ا‬‫ك‬‫حصم‬ ‫الذيف‬ ‫التالميذ‬ ‫عدد‬ )‫ب‬73.‫ليـ‬ ‫المئكية‬ ‫النسبة‬ ‫ىي‬ ‫كما‬ ،‫فأكثر‬ ‫درجة‬ ‫عمى‬ ‫الحاصميف‬ ‫التالميذ‬ ‫عدد‬ )‫ج‬43‫درجات‬‫مف‬ ‫أقؿ‬‫ك‬63.‫درجة‬
  • 104.
    140 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫الحل‬ ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 105.
    142 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
  • 106.
    141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫واجب‬‫كتاب‬ :‫(ص‬ ‫المدرسة‬47‫رقم‬ )2 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 107.
    142 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
  • 108.
    141 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫المدرسة‬ ‫كتاب‬ :‫الواجب‬‫(ص‬48‫رقم‬ )3 ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................ ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................................................................................................
  • 109.
    149 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬ ً‫البٌان‬ ‫التمثٌل‬‫التكراري‬ ‫للمنحنى‬
  • 110.
  • 111.
    111 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
  • 112.
  • 113.
    113 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
  • 114.
  • 115.
    112 ‫االبتدائي‬‫السادس‬‫الصف‬‫للغات‬ ‫األزهرية‬‫الكمال‬‫معاهد‬ ‫كراس‬‫ة‬‫الرٌاضٌات‬ ‫األول‬ً‫الدراس‬ ‫الفصل‬ ‫التارٌخ‬:.............................................................................................‫م‬ :‫الٌوم‬......................................................................................................... ‫التارٌخ‬:......................................................................................‫هـ‬
  • 116.