Module 7 geometric PMR

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Module 7 geometric PMR

  1. 1. PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI MATHEMATICS FORM 3 MODULE 7 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI SOLID GEOMETRY III 1MINISTRY OF EDUCATION MALAYSIA
  2. 2. MODULE 7: SOLID GEOMETRY III Arahan: 1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam bahasa Inggeris. 2. Modul merangkumi tujuh konstruk yang diuji K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris 3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian. 4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif. Contoh: Antara berikut, yang manakah haiwan? A. Pokok B. Kambing C. Kereta D. Pen 5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang disediakan oleh guru. 6. Jawab semua soalan. Modul ini mengandungi 19 halaman bercetak 2 DA B C E
  3. 3. 1 Which of the following is a solid with two parallel faces? A B C D 2 Which of the following is a solid whose centre is equidistant from all the points on its surface? A B C D 3
  4. 4. 3 Which of the following has six square faces? A B C D 4 An edge of a solid is a line where two faces meet. Which of the following solid has nine edges? A B C D 4
  5. 5. 5 The volume of a right prism is equal to the product of its base area and its height. What is the volume of a right prism with base area, P and height, h? A Ph B h P C P ─ h D P + h 6 Which of the following solid has the most number of flat surfaces? A Cone B Cuboid C Cylinder D Hemisphere 7 The diagram shows the net of a geometric solid, Q. Which of the following is Q? A Cone B Prism C Cuboid D Hemisphere 5
  6. 6. 8 The diagram shows a pyramid. Which of the following is the height of the pyramid? 9 Which of the following is not a right prism? A C B D A TP B TV C TU D TW T R VU P W Q S 6
  7. 7. 7
  8. 8. 10 Which of the following is a composite solid? A B C D 8
  9. 9. 11 The diagram shows a cone with radius, r and height, h. What is the volume of the cone in terms of r and h ? A rh B 2 rπ h C 3 1 r 2 h D 3 1 2 rπ h 12 Which of the following is a net of a cuboid? A I only B I and II only C I and III only D II and III only r h I II III 9
  10. 10. 13 The statement below describes a geometric solid. What is the geometric solid? A Cone B Sphere C Cylinder D Pyramid 14 The statement below describes a geometric solid. What is the geometric solid? A Cone B Prism C Sphere D Cylinder 15 The base of a solid is a polygon and the other surfaces are triangles that meet at a common vertex. What is the name of the solid? A Cone B Prism C Cuboid D Pyramid A solid with only two surfaces A solid with a uniform circular cross-section 10
  11. 11. 16 The table shows the comparison between two solids, P and Q. Solid Number of faces Number of edges Vertices P 6 12 8 Q 3 2 0 Which of the following is true about P and Q? P Q A Cuboid Cylinder B Cylinder Cuboid C Cube Pyramid D Prism Cube 17 The diagram shows a hemisphere. What is the volume of the hemisphere? A 3 4 π x 53 B 3 4 π x 103 C 2 1 x 3 4 π x 5 3 D 2 1 x 3 4 π x 10 3 10 cm 11
  12. 12. 18 The diagram shows a prism. The volume of the prism is A 3 cm x 5 cm x 6 cm B 3 cm x 4 cm x 6 cm C 2 1 x 3 cm x 5 cm x 6 cm D 2 1 x 3 cm x 4 cm x 6 cm 19 Which of the following shows the conversion of P mm 3 to cm 3 ? A P x 10 B 10 P C P x 1000 D 1000 P 5 cm 6 cm4 cm 3 cm 12
  13. 13. 20 The diagram shows a cone. What is the volume of the cone? A 1432 ××π B 1462 ××π C 143 3 1 2 ×××π D 146 3 1 2 ×××π 14 cm 6 cm 13
  14. 14. 21 The diagram shows the net of a cuboid. The volume of the cuboid is 240 cm3 . Calculate the area, in cm 2 , of the shaded region. A 60 B 40 C 24 D 10 22 The diagram shows a solid consisting of a cylinder and a cone. Calculate the volume, in cm 3 , of the solid. ( Use 7 22 =π ) A 3080 B 2464 C 2040 D 1848 4 cm 6 cm 24 cm 12 cm 14 cm 14
  15. 15. 23 A cylindrical container with a radius of 70 cm and a height of 100 cm is half filled with water. Calculate the volume of water in  , in the container.( Use 7 22 =π ) A 770 B 1540 C 770 000 D 1 540 000 24 The area of the rectangular base of a right pyramid is 8x cm2 . If its volume is 288 cm3 , and its height 8 cm, calculate the value of x. A 1.50 B 4.50 C 6.75 D 13.50 25 The diagram shows a right circular cone. The radius of the cone, RO, is 7 cm. If the volume of the cone is 462 cm3 , find the height of the cone. A 2.25 B 3.00 C 9.00 D 36.00 P Q RO 15
  16. 16. All question from number 26 to number 30 must be answered in word. 26 Describe the solid shown. Answer : 27 Given that the volume of a cylinder is equal to the product of its base area and its height. Explain how to find the height of the cylinder. Answer : 16
  17. 17. 28 Explain how to find the volume of a composite solid which consists of a cone and a hemisphere. Answer : 29 Explain how to find the volume of a prism. Answer : 30 Describe the solid shown below. Answer : 17
  18. 18. From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer. 31 A 137.5 B 385.0 C 550.0 D 1100.0 32 A 366.7 B 550.0 C 1100.0 D 1466.7 35 cm 10 cm 18
  19. 19. 33 A 36 π B 180 π C 270 π D 360 π 34 A 250 B 2500 C 25 000 D 250 000 5 cm 5 cm 10 cm 19
  20. 20. 35 A 108 cm3 B 144 cm3 C 216 cm3 D 288 cm3 END OF QUESTION PAPER 6 cm 6 cm 6 cm 6 cm 20
  21. 21. 16 17 18 19 20 A B C D E A B C D E A B C D E A B C D E A B C D E 21 22 23 24 25 A B C D E A B C D E A B C D E A B C D E A B C D E 26 27 28 29 30 A B C D E A B C D E A B C D E A B C D E A B C D E Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH KEMENTERIAN PELAJARAN MALAYSIA KERTAS JAWAPAN OBJEKTIF Ujian Diagnostik 51 152 53 54 55 A B C D E A B C D E A B C D E A B C D E A B C D E 56 57 58 59 60 A B C D E A B C D E A B C D E A B C D E A B C D E 46 47 48 49 50 A B C D E A B C D E A B C D E A B C D E A B C D E 41 142 43 44 45 A B C D E A B C D E A B C D E A B C D E A B C D E 31 32 33 34 35 A B C D E A B C D E A B C D E A B C D E A B C D E 36 37 38 39 40 A B C D E A B C D E A B C D E A B C D E A B C D E 1 2 3 4 5 A B C D E A B C D E A B C D E A B C D E A B C D E 6 7 8 9 10 A B C D E A B C D E A B C D E A B C D E A B C D E 11 12 13 14 15 A B C D E A B C D E A B C D E A B C D E A B C D E Konstruk No. Soalan Jumlah Soalan Bilangan Soalan Gagal Dijawab Kegunaan Guru K1 K3 K5 K6 K7 K8 K10 K10 1-5 6-10 11-15 16-20 21-25 26-30 31-35 5 5 5 5 5 5 5 1 9 2 3 10 4 5 6 7 8 Nama Pelajar: Nama Sekolah: Modul: 7

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