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Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
Modul 1.pmr
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Modul 1.pmr

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  • 1. MODUL 1PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIKJABATAN PELAJARAN SELANGOR MATEMATIK PMR
  • 2. 1. Calculate the value of 26 − 6(−16 ÷ 4 + 9) Hitung nilai bagi 26 − 6(−16 ÷ 4 + 9) [2 marks] [2 markah]2. (a) Find the value of 3 − 0.343 Cari nilai bagi 3 − 0.343 2  49  (b) Calculate the value of: 1 −   16    2  49  Hitung nilai bagi: 1 −   16    [3 marks] [3 markah]3. Simplify Permudahkan (a) 2g − 4h − 5h −9g (b) −56p2q ÷ 16pq [3 marks] [3 markah] -2-4. Diagram 1 shows two polygons, M’ and M, drawn on square grids. Rajah 1 menunjukkan dua polygon M’ dan M, dilukis di atas grid segiempat sama.
  • 3. M’ M Diagram 1 Rajah 1 M’ is the image of M under transformation L. Describe in full transformation L. M’ ialah imej M di bawah transformasi L. Huraikan selengkapnya transformasi L. [2 marks] [2 markah] Answer : Jawapan : -3-5. The pictograph in Diagram 2 shows the number of loaves of bread sold by a school canteen within a week.
  • 4. Piktograf di dalam Rajah 2 menunjukkan bilangan buku roti yang telah dijual di kantin sekolah dalam masa seminggu. Monday Tuesday Wednesday Thursday Friday represents 10 loaves of bread mewakili 10 buku roti Diagram 2 Rajah 2 Draw a bar chart in the answer space to represent all the information in the pictograph above. Lukis satu carta palang pada ruang jawapan bagi mewakili semua maklumat pada piktograf di atas. [4 marks] [4 markah] Answer : Jawapan : Number of loaves of bread 120 100 80 60 40 20 -4-6 Set squares and protractors are not allowed for part (a) of this question. Sesiku dan protractor tidak boleh dibenarkan untuk bahagian (a) soalan ini. Day MON TUE WED THU FRI
  • 5. Diagram 3 shows triangle PQR. Rajah 3 menunjukkan segitiga PQR. R 5 cm 120° P Q Diagram 3 Rajah 3 (a) By using only a ruler and a pair of compasses, (i) construct triangle PQR using the measurements given, beginning from the straight line PQ provided. (ii) construct the perpendicular line from point P to line QR. Dengan hanya menggunakan pembaris dan jangka lukis (i) binakan segitiga PQR menggunakan ukuran yang diberi, bermuladari garis lurus PQ yang diberi. (ii) bina garis serenjang dari titik P ke garis PQ. (b) Based on the constructions, measure ∠ PRQ using a protractor. Berdasarkan pembinaan tersebut, ukur ∠ PRQ menggunakan protraktor. [6 marks] [6 markah] Answer : Jawapan : (a) (i) (ii) P Q (b) -5-7 Diagram 4 shows polygon T on a grid of equal squares with sides of 1 unit.
  • 6. Rajah 4 menunjukkan polygon T yang dilukis di atas segiempat sama bersisi 1 unit. T Diagram 2 Rajah 2 On the square grids below, redraw polygon T by using scale of 3 :1 [3 marks] Pada grid segiempat bersisi 1 unit di ruang jawapan, lukis semula polygon T menggunakan skala 3 : 1. . [3 markah] -6-8. Diagram 5 shows two right-angled triangles ABD and CDE. Given C is the midpoint of the straight line BD.
  • 7. Rajah 5 menunjukkan dua buah segitiga bersudut tegak ABD dan CDE. Diberi C titik tengah bagi garis lurus BD. A B y° = 13 cm C = 10 cm x° D E Diagram 5 Rajah 5 4 It is given that cos x ° = . 5 4 Diberi bahawa cos x ° = . 5 (a) Find sin y °. Cari nilai bagi sin y °. (b) Calculate the length, in cm, of AB. [3 marks] Hitung panjang, dalam cm, AB. [3 markah] -7-9. Use the graph paper on page 9 to answer this question Gunakan kertas graf pada halaman 9 untuk menjawab soalan ini.
  • 8. Table 1 shows the values of two variables, x and y, of a function. Jadual 1 menunjukkan nilai-nilai dan dua pemboleh ubah, x dan y bagi satu fungsi. Graph for Question 9 x 0 1 2 3 Graf untuk Soalan 9 4 5 6 y 8 11 12 11 8 3 -4 Table 1 Jadual 1 The x-axis and y-axis are provided on the graph paper on page 9. Paksi-x dan paksi-y telah disediakan pada kertas graf pada halaman 9. y a) By using the scale of 2 cm to 2 units, complete and label the y-axis. Dengan menggunakan skala 2 cm kepada 2 unit, lengkap dan labelkan paksi-y itu. b) Based on Table 1 plot the points on the graph paper. Berdasarkan Jadual 1, plotkan titik-titik pada kertas graf tersebut. c) Hence, draw the graph of the function. Seterusnya, lukis graf fungsi ini. [4 marks] [4 markah] x0 1 2 3 4 5 6 -8-
  • 9. Table 1 shows the values of two variables, x and y, of a function. Jadual 1 menunjukkan nilai-nilai dan dua pemboleh ubah, x dan y bagi satu fungsi. Graph for Question 9 x 0 1 2 3 Graf untuk Soalan 9 4 5 6 y 8 11 12 11 8 3 -4 Table 1 Jadual 1 The x-axis and y-axis are provided on the graph paper on page 9. Paksi-x dan paksi-y telah disediakan pada kertas graf pada halaman 9. y a) By using the scale of 2 cm to 2 units, complete and label the y-axis. Dengan menggunakan skala 2 cm kepada 2 unit, lengkap dan labelkan paksi-y itu. b) Based on Table 1 plot the points on the graph paper. Berdasarkan Jadual 1, plotkan titik-titik pada kertas graf tersebut. c) Hence, draw the graph of the function. Seterusnya, lukis graf fungsi ini. [4 marks] [4 markah] x0 1 2 3 4 5 6 -8-

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