MatematikMathematics

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1

Question 1

[1 mark] Lengkapkan pola nombor ini: 3 640 000, 3 540 000, 3 440 000, 3 340 000, ______Complete this number pattern: 3 640 000, 3 540 000, 3 440 000, 3 340 000, ______

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• 3 240 000 [1] (the numbers go down by 100 000 each time)1

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For the teacher: Understanding, low difficulty, Unit 1, standard 1.1.2

Textbook p. 5

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Question 2

[1 mark] Tulis satu nombor perdana yang lebih besar daripada 80 dan lebih kecil daripada 90, dan hasil tambah digitnya ialah 11.Write a prime number that is greater than 80 and less than 90, and whose digits add up to 11.

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• 83 [1] (the primes between 80 and 90 are 83 and 89; 8 + 3 = 11 but 8 + 9 = 17)1

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For the teacher: Applying, high difficulty, Unit 1, standard 1.3.1

Textbook p. 43

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Question 3

[2 marks] Sebuah kilang menghasilkan 2 173 912 biji butang lalu mengepaknya ke dalam bungkusan yang sama banyak. Setiap bungkusan mengandungi 52 biji butang. Hitung bilangan bungkusan itu.A factory makes 2 173 912 buttons and packs them into equal packets. Each packet holds 52 buttons. Calculate the number of packets.

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• 2 173 912 ÷ 52 [1] (long division, 52 × 41 806 = 2 173 912)1
• 41 806 packets [1]1

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For the teacher: Applying, low difficulty, Unit 1, standard 1.2.1

Textbook p. 34

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Question 4

[2 marks] 56 ÷ 59 = (jawapan dalam bentuk termudah)56 ÷ 59 = (answer in simplest form)

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• 56 × 95 [1] (change ÷ to × and turn the fraction upside down)1
• 4530 = 32 = 112 [1]1

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For the teacher: Applying, low difficulty, Unit 2, standard 2.1.1

Textbook p. 63

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Question 5

[2 marks] 6.72 ÷ 0.28 =

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• 672 ÷ 28 [1] (multiply both numbers by 100 so the divisor is a whole number)1
• 24 [1]1

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For the teacher: Applying, low difficulty, Unit 2, standard 2.2.2

Textbook p. 71

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Question 6

[2 marks] Nyatakan 840 g sebagai peratusan daripada 2 kg.Write 840 g as a percentage of 2 kg.

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• 2 kg = 2 000 g [1]1
• 8402000 × 100% = 42% [1]1

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For the teacher: Applying, medium difficulty, Unit 2, standard 2.3.3

Textbook p. 78

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Question 7

[2 marks] Rajah 1 menunjukkan bil sebuah restoran. Cukai perkhidmatan ialah 6% daripada jumlah kecil. Berapakah jumlah yang perlu dibayar?Diagram 1 shows the bill of a restaurant. Service tax is 6% of the subtotal. How much must be paid?

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• Service tax = 6% × RM110.00 = RM6.60 [1]1
• RM110.00 + RM6.60 = RM116.60 [1]1

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For the teacher: Applying, low difficulty, Unit 3, standard 3.1.2

Textbook p. 114

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Question 8

[2 marks] Rajah 2 menunjukkan zon waktu dua bandar. Apabila jam 2250 pada 14 Mac di Kuala Lumpur, apakah masa dan tarikh di Port Moresby? Tulis dalam sistem 24 jam.Diagram 2 shows the time zones of two cities. When it is 2250 hours on 14 March in Kuala Lumpur, what are the time and date in Port Moresby? Write in the 24-hour system.

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• Port Moresby is 10 − 8 = 2 hours ahead [1]1
• 2250 + 2 hours = 0050 hours on 15 March [1]1

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For the teacher: Applying, medium difficulty, Unit 4, standard 4.2.1

Textbook p. 149

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Question 9

[2 marks] Rajah 3 menunjukkan masa di dua bandar pada saat yang sama. Hitung beza masa, dalam jam dan minit, antara kedua-dua bandar itu.Diagram 3 shows the time in two cities at the same moment. Calculate the time difference, in hours and minutes, between the two cities.

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• 1840 − 1710 [1]1
• 1 hour 30 minutes [1]1

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For the teacher: Understanding, low difficulty, Unit 4, standard 4.1.2

Textbook p. 142

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Question 10

[2 marks] Sebuah kereta bergerak sejauh 18 km dengan 1.5 ℓ petrol. Berapa litre petrol yang diperlukan untuk bergerak sejauh 96 km?A car travels 18 km on 1.5 ℓ of petrol. How many litres of petrol are needed for the car to travel 96 km?

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• 18 km ÷ 1.5 ℓ = 12 km for 1 ℓ [1]1
• 96 ÷ 12 = 8 ℓ [1]1

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For the teacher: Applying, medium difficulty, Unit 5, standard 5.1.1 (ii)

Textbook p. 158

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Question 11

[2 marks] Sebuah kotak mengandungi 10 keping kad yang bernombor 1 hingga 10. Ali mengambil satu kad tanpa melihat. Nyatakan kemungkinan kad itu bernombor lebih besar daripada 7 dengan memilih perkataan yang sesuai dan beri satu sebab.A box has 10 cards numbered 1 to 10. Ali picks one card without looking. Choose a suitable word for the likelihood that the number is greater than 7 and give one reason.

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• Less likely [1]1
• Only 3 cards (8, 9 and 10) out of 10 are greater than 7, fewer than half [1]1

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For the teacher: Understanding, low difficulty, Unit 8, standard 8.2.2

Textbook p. 218

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Question 12

[3 marks] Rajah 4 menunjukkan jalan dari P ke R melalui Q pada sebuah peta. Skala peta ialah 1 : 200 000. Hitung jarak sebenar, dalam km, dari P ke R melalui Q.Diagram 4 shows the road from P to R through Q on a map. The scale of the map is 1 : 200 000. Calculate the actual distance, in km, from P to R through Q.

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• 6.5 + 5 = 11.5 cm on the map [1]1
• 11.5 × 200 000 = 2 300 000 cm [1]1
• 2 300 000 cm ÷ 100 000 = 23 km [1]1

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For the teacher: Analysing, high difficulty, Unit 7, standard 7.1.1

Textbook p. 188

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Question 13

[3 marks] Rajah 5 menunjukkan resipi sup. Hitung jisim, dalam kg, lobak merah yang diperlukan untuk menyediakan 4 ℓ 500 mℓ sup.Diagram 5 shows a soup recipe. Calculate the mass, in kg, of carrots needed to make 4 ℓ 500 mℓ of soup.

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• 4 ℓ 500 mℓ = 4 500 mℓ [1]1
• 4 500 ÷ 750 = 6 times, 6 × 120 g = 720 g [1]1
• 720 g = 0.72 kg [1]1

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For the teacher: Analysing, high difficulty, Unit 5, standard 5.1.1 (iii)

Textbook p. 160

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Question 14

[3 marks] Keluarga Hakim memandu dari Bandar Hijau ke Kuala Sungai melalui Pekan Indah. Rajah 6 menunjukkan jarak jalan itu. Kereta mereka menggunakan 1 ℓ petrol untuk setiap 12 km. Tangki mempunyai 20 ℓ petrol pada awal perjalanan. Berapa litre petrol yang tinggal dalam tangki di Kuala Sungai?Hakim's family drives from Bandar Hijau to Kuala Sungai through Pekan Indah. Diagram 6 shows the road distances. Their car uses 1 ℓ of petrol for every 12 km. The tank has 20 ℓ of petrol at the start. How many litres of petrol are left in the tank at Kuala Sungai?

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• 84 + 66 = 150 km [1]1
• 150 ÷ 12 = 12.5 ℓ used [1]1
• 20 − 12.5 = 7.5 ℓ [1]1

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For the teacher: Applying, low difficulty, Unit 5, standard 5.1.1 (ii)

Textbook p. 159

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Question 15

[1 mark] (i)Rajah 7 menunjukkan kedudukan pintu masuk G, unggun api C dan tasik L di sebuah tapak perkhemahan. Nyatakan koordinat L.Diagram 7 shows the positions of the gate G, the campfire C and the lake L at a campsite. State the coordinates of L.

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• (7, 6) [1]1

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[2 marks] (ii)Setiap 1 unit pada satah itu mewakili 50 m. Hanis berjalan dari G ke C, kemudian dari C ke L. Hitung jumlah jarak, dalam m, yang dilalui oleh Hanis.Each 1 unit on the plane represents 50 m. Hanis walks from G to C, then from C to L. Calculate the total distance, in m, that Hanis walks.

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• G to C = 6 units, C to L = 4 units, total 10 units [1]1
• 10 × 50 = 500 m [1]1

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For the teacher: Applying, medium difficulty, Unit 7, standard 7.1.1

Textbook p. 189

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Question 16

[3 marks] Rajah 8 menunjukkan senarai harga barang yang dibeli untuk perkhemahan. Hakim membayar dengan RM200. Hitung baki wang yang diterima oleh Hakim.Diagram 8 shows the price list of the items bought for the camping trip. Hakim pays with RM200. Calculate the change Hakim receives.

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• 2 × RM38.90 = RM77.80 and 3 × RM12.40 = RM37.20 [1]1
• RM77.80 + RM16.50 + RM37.20 = RM131.50 [1]1
• RM200 − RM131.50 = RM68.50 [1]1

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For the teacher: Applying, low difficulty, Unit 3, standard 3.1.2

Textbook p. 118

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Question 17

[3 marks] Rajah 9 menunjukkan 3 ℓ 600 mℓ jus yang dikongsi oleh Aman dan Bala dalam nisbah 3 : 2. Berapa mℓ lebih banyakkah jus yang diperoleh Aman berbanding Bala?Diagram 9 shows 3 ℓ 600 mℓ of juice shared by Aman and Bala in the ratio 3 : 2. How many mℓ more juice does Aman get than Bala?

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• 3 ℓ 600 mℓ = 3 600 mℓ [1]1
• 3 600 ÷ 5 = 720 mℓ for 1 part [1]1
• (3 − 2) × 720 = 720 mℓ [1]1

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For the teacher: Analysing, high difficulty, Unit 7, standard 7.3.1

Textbook p. 199

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Question 18

[3 marks] Sebuah dapur kedai roti membakar bun seperti dalam Rajah 10. Hitung bilangan bun yang terjual.A bakery kitchen bakes buns as shown in Diagram 10. Calculate the number of buns that are sold.

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• 85 × 24 = 2 040 trays [1]1
• 2 040 × 6 = 12 240 buns [1]1
• 12 240 − 1 875 = 10 365 buns [1]1

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For the teacher: Applying, medium difficulty, Unit 1, standard 1.4.1

Textbook p. 48

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Question 19

[3 marks] Dina di Kuala Lumpur membuat panggilan video dengan Ben di Los Angeles pada pukul 9:20 pagi, hari Isnin. Rajah 11 menunjukkan zon waktu bandar-bandar itu. Pada pukul berapa dan hari apakah panggilan itu bermula di Los Angeles? Tulis dalam sistem 12 jam.Dina in Kuala Lumpur makes a video call to Ben in Los Angeles at 9:20 a.m. on Monday. Diagram 11 shows the time zones of the cities. At what time and on which day does the call begin in Los Angeles? Write in the 12-hour system.

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• 8 − (−8) = 16 hours difference, Los Angeles is behind [1]1
• 9:20 a.m. − 16 hours = 5:20 p.m. [1]1
• Sunday (the day before Monday) [1]1

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For the teacher: Applying, low difficulty, Unit 4, standard 4.2.1

Textbook p. 149

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Question 20

[3 marks] Rajah 12 menunjukkan 4 buah dulang bulat yang sama saiz di dalam sebuah rak segi empat tepat. Dulang-dulang itu bersentuhan antara satu sama lain dan dengan sisi rak. Panjang rak ialah 72 cm. Hitung jejari, dalam cm, setiap dulang.Diagram 12 shows 4 round trays of the same size in a rectangular rack. The trays touch each other and the sides of the rack. The rack is 72 cm long. Calculate the radius, in cm, of each tray.

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• 72 ÷ 4 [1]1
• = 18 cm, the diameter of one tray [1]1
• 18 ÷ 2 = 9 cm [1]1

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For the teacher: Applying, medium difficulty, Unit 6, standard 6.3.1

Textbook p. 185

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Question 21

[1 mark] (i)Rajah 13 ialah carta pai yang menunjukkan jenis kek yang dijual di sebuah kedai. Hitung nilai x.Diagram 13 is a pie chart showing the types of cake sold in a shop. Calculate the value of x.

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• 360° − 180° − 90° − 45° = 45° [1]1

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[2 marks] (ii)Sejumlah 240 biji kek terjual. Hitung bilangan kek coklat yang terjual.A total of 240 cakes are sold. Calculate the number of chocolate cakes sold.

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• 90360 = 14 of the cakes [1]1
• 14 × 240 = 60 [1]1

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For the teacher: Understanding, low difficulty, Unit 8, standard 8.1.1

Textbook p. 210

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