MatematikMathematics

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1

Question 1

[1 mark] Tulis enam puluh tiga ribu lapan dalam angka.Write sixty-three thousand and eight in numerals.

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63 000 + 8 = 63 008 (no hundreds and no tens, so the digit 0 holds both places).

• 63 008 [1]1

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

Textbook p. 4

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Question 2

[2 marks] Bundarkan 48 650 kepada ribu yang terdekat dan kepada puluh ribu yang terdekat.Round off 48 650 to the nearest thousand and to the nearest ten thousand.

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• Nearest thousand: hundreds digit 6, round up to 49 000 [1]1
• Nearest ten thousand: thousands digit 8, round up to 50 000 [1]1

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

Textbook p. 15

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Question 3

[3 marks] 1 3/4 + 2 5/8 − 1 1/2 =

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1 3/4 + 2 5/8 = 4 3/8; 4 3/8 − 1 1/2 = 2 7/8

• Common denominator 8: 1 6/8 + 2 5/8 − 1 4/8 [1]1
• 1 6/8 + 2 5/8 = 4 3/8 [1]1
• 4 3/8 − 1 4/8 = 2 7/8 [1]1

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For the teacher: Applying, low difficulty, Unit 2, standard 2.1.4

Textbook p. 80

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Question 4

[2 marks] 4.6 + 0.85 − 2.3 =

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• 4.6 + 0.85 = 5.45 [1]1
• 5.45 − 2.3 = 3.15 [1]1

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For the teacher: Applying, low difficulty, Unit 2, standard 2.2.1

Textbook p. 90

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Question 5

[2 marks] Sebuah sekolah mempunyai 240 orang murid. 35% daripada murid itu berbasikal ke sekolah. Berapakah bilangan murid yang berbasikal ke sekolah?A school has 240 pupils. 35% of the pupils cycle to school. How many pupils cycle to school?

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10% of 240 = 24, 30% = 72, 5% = 12; 72 + 12 = 84 pupils

• 35/100 × 240 [1]1
• 84 pupils [1]1

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For the teacher: Applying, low difficulty, Unit 2, standard 2.3.2

Textbook p. 96

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Question 6

[2 marks] Encik Bakar ada RM4 650.20. Dia membelanjakan RM1 879.85 untuk membaiki motosikalnya. Berapakah baki wangnya?Encik Bakar has RM4 650.20. He spends RM1 879.85 to repair his motorcycle. How much money does he have left?

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RM4 650.20 − RM1 879.85 = RM2 770.35 (check: RM2 770.35 + RM1 879.85 = RM4 650.20)

• RM4 650.20 − RM1 879.85 [1]1
• RM2 770.35 [1]1

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

Textbook p. 108

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Question 7

[2 marks] Sebuah bas bertolak pada pukul 9:40 pagi dan tiba pada pukul 2:15 petang pada hari yang sama. Berapakah tempoh perjalanan bas itu?A bus leaves at 9:40 a.m. and arrives at 2:15 p.m. on the same day. How long is the journey?

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• 0940 hours to 1415 hours (or 9:40 to 12:00 is 2 h 20 min, then 2 h 15 min) [1]1
• 4 hours 35 minutes [1]1

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

Textbook p. 143

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Question 8

[2 marks] Pak Hamid mengayuh basikal sejauh 2 km 450 m setiap pagi. Berapakah jarak yang dikayuhnya dalam 3 pagi?Pak Hamid cycles 2 km 450 m every morning. What is the distance he cycles in 3 mornings?

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3 × 2 km = 6 km; 3 × 450 m = 1 350 m = 1 km 350 m; 6 km + 1 km 350 m = 7 km 350 m

• 3 × 2 km 450 m = 6 km 1 350 m [1]1
• 7 km 350 m [1]1

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For the teacher: Applying, low difficulty, Unit 5, standard 5.1.8

Textbook p. 181

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Question 9

[2 marks] Perimeter sebuah kebun berbentuk segi empat sama ialah 36 m. Hitung luas kebun itu.The perimeter of a square garden is 36 m. Calculate the area of the garden.

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• Side = 36 ÷ 4 = 9 m [1]1
• Area = 9 × 9 = 81 m² [1]1

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For the teacher: Analysing, medium difficulty, Unit 6, standard 6.3.2

Textbook p. 207

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Question 10

[1 mark] Rajah 1 menunjukkan titik P dan titik Q pada satah Cartes. Nyatakan koordinat P.Diagram 1 shows point P and point Q on a Cartesian plane. State the coordinates of P.

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Read along the x-axis first (5), then up the y-axis (3): P is (5, 3).

• (5, 3) [1]1

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For the teacher: Remembering, low difficulty, Unit 7, standard 7.1.1

Textbook p. 216

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Question 11

[2 marks] Harga 5 batang pen ialah RM12.50. Berapakah harga 8 batang pen yang sama?The price of 5 pens is RM12.50. What is the price of 8 of the same pens?

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• 1 pen = RM12.50 ÷ 5 = RM2.50 [1]1
• 8 pens = 8 × RM2.50 = RM20.00 [1]1

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For the teacher: Applying, medium difficulty, Unit 7, standard 7.3.1

Textbook p. 223

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Question 12

[3 marks] Piktograf dalam Rajah 2 menunjukkan bilangan durian yang dijual di sebuah gerai dalam lima hari. Hitung beza antara bilangan durian yang dijual pada hari yang paling banyak dan hari yang paling sedikit.The pictograph in Diagram 2 shows the number of durians sold at a stall in five days. Calculate the difference between the number of durians sold on the day with the most and the day with the fewest.

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• Friday: 6 × 8 = 48 durians (most) [1]1
• Wednesday: 2½ × 8 = 20 durians (fewest) [1]1
• 48 − 20 = 28 durians [1]1

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For the teacher: Analysing, medium difficulty, Unit 8, standard 8.1.1

Textbook p. 236

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Question 13

[2 marks] Sebuah tong mengandungi 25 ℓ air. Aina menggunakan 3 baldi air, setiap satu 4 ℓ 500 mℓ, untuk menyiram pokok. Baki air dituang sama banyak ke dalam 4 buah botol. Berapakah isi padu air dalam sebuah botol?A drum contains 25 ℓ of water. Aina uses 3 pails of water, each 4 ℓ 500 mℓ, to water the plants. The remaining water is poured equally into 4 bottles. What is the volume of water in one bottle?

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11 500 mℓ ÷ 4 = 2 875 mℓ = 2 ℓ 875 mℓ

• 25 ℓ − 3 × 4 ℓ 500 mℓ = 25 ℓ − 13 ℓ 500 mℓ = 11 ℓ 500 mℓ [1]1
• 11 ℓ 500 mℓ ÷ 4 = 2 ℓ 875 mℓ [1]1

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For the teacher: Analysing, high difficulty, Unit 5, standard 5.4.1

Textbook p. 195

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Question 14

Soalan 1(a) Sebuah sekolah mengadakan jualan amal. Carta palang dalam Rajah 3 menunjukkan bilangan barang yang dijual.Question 1(a) A school holds a charity sale. The bar chart in Diagram 3 shows the number of items sold.

[3 marks] (i) Barang apakah yang paling banyak dijual? (ii) Berapakah bilangan nasi lemak yang dijual melebihi bilangan bertih jagung? (iii) Berapakah jumlah barang yang dijual?(i) Which item was sold the most? (ii) How many more coconut rice than popcorn were sold? (iii) How many items were sold altogether?

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• (i) Nasi lemak (coconut rice) [1]1
• (ii) 70 − 30 = 40 [1]1
• (iii) 70 + 55 + 45 + 30 + 40 = 240 items [1]1

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For the teacher: Understanding, low difficulty, Unit 8, standard 8.1.2

Textbook p. 237

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Question 15

Soalan 1(b) Dalam jualan amal itu (Rajah 3), bilangan nasi lemak yang dijual ialah 70 bungkus dan air limau ialah 55 gelas. Harga setiap barang: nasi lemak RM2.50, air limau RM1.80, kuih RM1.20, bertih jagung RM0.80 dan biskut RM1.20.Question 1(b) At the charity sale (Diagram 3), 70 packs of coconut rice and 55 cups of lemonade were sold. The price of each item: coconut rice RM2.50, lemonade RM1.80, cakes RM1.20, popcorn RM0.80 and cookies RM1.20.

[3 marks] Hitung jumlah wang yang diperoleh daripada jualan nasi lemak dan air limau.Calculate the total money collected from the sales of coconut rice and lemonade.

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• 70 × RM2.50 = RM175 [1]1
• 55 × RM1.80 = RM99 [1]1
• RM175 + RM99 = RM274 [1]1

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For the teacher: Applying, medium difficulty, Unit 3, standard 3.1.3

Textbook p. 113

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Question 16

Soalan 1(c) Jumlah wang yang diperoleh daripada semua jualan amal itu ialah RM400.Question 1(c) The total money collected from all the sales at the charity sale is RM400.

[3 marks] 35% daripada wang itu digunakan untuk membeli bahan-bahan. Berapakah baki wang itu?35% of the money is used to buy ingredients. How much money is left?

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Left = 65% of RM400 = RM260

• 35% of RM400 = 35/100 × RM400 [1]1
• RM140 used [1]1
• RM400 − RM140 = RM260 [1]1

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For the teacher: Applying, medium difficulty, Unit 2, standard 2.3.2

Textbook p. 96

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Question 17

Soalan 1(d) Dalam jualan amal itu, 45 keping kuih dan 40 keping biskut telah dijual. Kuih dan biskut itu dibungkus dalam kotak. Setiap kotak boleh mengisi 12 keping.Question 1(d) At the charity sale, 45 pieces of cake and 40 cookies were sold. The cakes and cookies are packed in boxes. Each box holds 12 pieces.

[3 marks] Berapakah kotak yang penuh dan berapakah keping yang tinggal? Berapakah keping lagi diperlukan untuk memenuhi kotak yang terakhir?How many boxes are full and how many pieces are left over? How many more pieces are needed to fill the last box?

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• 45 + 40 = 85 pieces [1]1
• 85 ÷ 12 = 7 boxes, remainder 1 piece [1]1
• 12 − 1 = 11 more pieces [1]1

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For the teacher: Analysing, high difficulty, Unit 1, standard 1.6.4

Textbook p. 37

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Question 18

Soalan 2(a) Hafiz pulang ke kampung datuknya. Rajah 4 ialah peta kampung itu pada satah Cartes. Titik asal ialah stesen bas.Question 2(a) Hafiz goes to his grandfather's village. Diagram 4 is a map of the village on a Cartesian plane. The origin is the bus stop.

[3 marks] (i) Nyatakan koordinat masjid. (ii) Nyatakan koordinat kedai. (iii) Apakah tempat di koordinat (2, 4)?(i) State the coordinates of the mosque. (ii) State the coordinates of the shop. (iii) What place is at the coordinates (2, 4)?

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• (i) (6, 2) [1]1
• (ii) (5, 5) [1]1
• (iii) Balai raya (the hall) [1]1

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For the teacher: Remembering, low difficulty, Unit 7, standard 7.1.1

Textbook p. 216

19

Question 19

Soalan 2(b) Hafiz ke kampung datuknya dengan bas. Jadual menunjukkan masa bas itu.

Stesen / Station	Masa / Time
Kuala Lumpur	0745
Karak	0850
Temerloh	1025
Jerantut	1210

Question 2(b) Hafiz goes to his grandfather's village by bus. The table shows the times of the bus (24-hour system). (See the table above.)

[3 marks] (i) Pukul berapakah bas tiba di Jerantut dalam sistem 12 jam? (ii) Berapakah tempoh perjalanan dari Karak ke Temerloh? (iii) Berapakah jumlah masa perjalanan dari Kuala Lumpur ke Jerantut?(i) At what time does the bus arrive in Jerantut, in the 12-hour system? (ii) How long is the journey from Karak to Temerloh? (iii) What is the total time of the journey from Kuala Lumpur to Jerantut?

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• (i) 12:10 p.m. [1]1
• (ii) 1025 − 0850 = 1 hour 35 minutes [1]1
• (iii) 1210 − 0745 = 4 hours 25 minutes [1]1

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

Textbook p. 143

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Question 20

Soalan 2(c) Rajah 5 ialah pelan sebidang kebun sayur datuk Hafiz yang berbentuk segi empat tepat. Sebuah petak segi empat sama berukuran 6 m digunakan untuk menanam cili.Question 2(c) Diagram 5 is a plan of Hafiz's grandfather's rectangular vegetable plot. A square patch of side 6 m is used to plant chillies.

[3 marks] (i) Hitung perimeter kebun. (ii) Hitung luas kebun. (iii) Hitung luas kebun yang tidak ditanam cili.(i) Calculate the perimeter of the plot. (ii) Calculate the area of the plot. (iii) Calculate the area of the plot that is not planted with chillies.

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• (i) 2 × (24 + 15) = 78 m [1]1
• (ii) 24 × 15 = 360 m² [1]1
• (iii) 360 − 6 × 6 = 324 m² [1]1

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For the teacher: Applying, medium difficulty, Unit 6, standard 6.3.2

Textbook p. 207

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Question 21

Soalan 2(d) Bas Hafiz tiba di Jerantut pada pukul 1210 (12:10 tengah hari). Dia menunggu 35 minit, kemudian menaiki bot selama 1 jam 50 minit, dan berjalan kaki selama 25 minit ke rumah datuknya. Bas itu bertolak dari Kuala Lumpur pada pukul 0745.Question 2(d) Hafiz's bus arrives in Jerantut at 1210 hours (12:10 p.m.). He waits 35 minutes, then takes a boat for 1 hour 50 minutes and walks for 25 minutes to his grandfather's house. The bus left Kuala Lumpur at 0745 hours.

[3 marks] (i) Pukul berapakah bot itu bertolak? (ii) Pukul berapakah Hafiz tiba di rumah datuknya? (iii) Berapakah jumlah masa perjalanan Hafiz dari Kuala Lumpur?(i) At what time does the boat leave? (ii) At what time does Hafiz arrive at his grandfather's house? (iii) What is Hafiz's total journey time from Kuala Lumpur?

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• (i) 1210 + 35 min = 12:45 p.m. [1]1
• (ii) 12:45 + 1 h 50 min = 2:35 p.m.; + 25 min = 3:00 p.m. [1]1
• (iii) 0745 to 1500 = 7 hours 15 minutes [1]1

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For the teacher: Analysing, high difficulty, Unit 4, standard 4.6.1

Textbook p. 166

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