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Primary 4 Mathematics · Chapter 6 · Answers and explanations

Chapter 6 Revision Paper: Fractions (II) (answers)

Section A · Multiple choice 10 marks

1. Find the value of 512 + 14.1 mark

(A) 38(B) 12(C) 712(D) 23
Answer: (D) 2314 = 312. 512 + 312 = 812 = 23. (Do not add the denominators.)

2. Find the value of 1112 − 23.1 mark

(A) 14(B) 34(C) 13(D) 112
Answer: (A) 1423 = 812. 1112 − 812 = 312 = 14.

3. Find the value of 35 + 710.1 mark

(A) 23(B) 1 310(C) 1 110(D) 1315
Answer: (B) 1 31035 = 610. 610 + 710 = 1310 = 1 310.

4. Find the value of 5 − 2 38.1 mark

(A) 3 38(B) 3 58(C) 2 58(D) 2 38
Answer: (C) 2 585 = 4 + 88, so 5 − 2 38 = (4 − 2) + (88 − 38) = 2 + 58 = 2 58.

5. Find the value of 56 + 34.1 mark

(A) 45(B) 1 112(C) 1 512(D) 1 712
Answer: (D) 1 712Change both to twelfths: 56 = 1012 and 34 = 912. 1012 + 912 = 1912 = 1 712.

6. What is 38 of 40?1 mark

(A) 15(B) 25(C) 5(D) 120
Answer: (A) 1540 ÷ 8 = 5, so 1 eighth of 40 is 5. 3 eighths = 3 × 5 = 15.

7. There are 18 counters. 12 of them are shaded. What fraction of the counters are shaded? Give your answer in its simplest form.1 mark

(A) 13(B) 23(C) 1 12(D) 29
Answer: (B) 2312 out of 18 counters are shaded: 1218. Divide the top and bottom by 6: 23. (13 is the fraction not shaded.)

8. 37 of a number is 21. What is the number?1 mark

Number21?21
(A) 9(B) 63(C) 49(D) 28
Answer: (C) 493 units = 21, so 1 unit = 21 ÷ 3 = 7. The number is 7 units = 7 × 7 = 49.

9. Hao had 32 marbles. He gave 38 of them to his friend. How many marbles did Hao have left?1 mark

Hao122032
(A) 12(B) 24(C) 29(D) 20
Answer: (D) 201 eighth of 32 = 32 ÷ 8 = 4. 3 eighths = 12 marbles given away. Marbles left: 32 − 12 = 20.

10. 35 of the pupils in a class are boys. There are 12 girls. How many pupils are in the class?1 mark

Classboys1230 pupils2 units = 12
(A) 30(B) 18(C) 20(D) 60
Answer: (A) 30Girls are 1 − 35 = 25 of the class. 2 units = 12, so 1 unit = 6. The class has 5 units = 5 × 6 = 30 pupils.

Section B · Short answers 4 marks

11. Find the value of 710 + 25.1 mark

Answer: 1 11025 = 410. 710 + 410 = 1110 = 1 110.

12. Find the value of 3 − 1 512.1 mark

Answer: 1 7123 = 2 + 1212. 3 − 1 512: 2 − 1 = 1 and 1212 − 512 = 712. The answer is 1 712.

13. Find 56 of 48.1 mark

Answer: 4048 ÷ 6 = 8, so 1 sixth of 48 is 8. 5 sixths = 5 × 8 = 40.

14. Find the value of 1 − 512 − 14. Give your answer in its simplest form.1 mark

Answer: 1314 = 312. 1 = 1212. 1212 − 512 − 312 = 412 = 13.

Section C · Show your working 16 marks

15. Tom ran 34 km in the morning and 58 km in the evening. How many kilometres did he run altogether?2 marks

Total3458138
Answer: 1 38 km34 = 68. Total: 68 + 58 = 118 = 1 38 km.

16. A tank had 4 litres of water. 2 310 litres were used. How much water was left in the tank?2 marks

Tank231017104 litres
Answer: 1 710 litres4 = 3 + 1010. 4 − 2 310: 3 − 2 = 1 and 1010 − 310 = 710. Left: 1 710 litres.

17. Mrs Lee used 12 of her flour to bake bread and 16 of her flour to bake a cake. What fraction of her flour was left? Give your answer in its simplest form.2 marks

Flourbreadcake26113
Answer: 1312 = 36. Flour used: 36 + 16 = 46. Flour left: 1 − 46 = 26 = 13.

18. Rope A is 56 m long. Rope B is 13 m shorter than Rope A. What is the total length of the two ropes?2 marks

A56B3613
Answer: 1 13 m13 = 26. Rope B: 56 − 26 = 36 = 12 m. Total: 56 + 36 = 86 = 1 13 m.

19. A florist had 72 flowers. 58 of them were roses. How many of the flowers were not roses?2 marks

Flowersroses?72 flowers3 × 9 = 27
Answer: 2772 ÷ 8 = 9, so 1 unit = 9. Not roses: 3 units = 3 × 9 = 27.

20. There are 48 pupils in a class. 512 of them walk to school and 14 of them take the bus. The rest are driven to school. How many pupils are driven to school?2 marks

Classwalkbus1648 pupils2012
Answer: 1648 ÷ 12 = 4, so 1 unit = 4 pupils. 14 = 312. Walk and bus: 5 + 3 = 8 units. Driven: 12 − 8 = 4 units = 4 × 4 = 16 pupils.

21. Ravi gave 29 of his stickers to his sister and 13 of his stickers to his brother. He had 20 stickers left. How many stickers did Ravi have at first?2 marks

Ravisisterbrother2045 stickers4 units = 20
Answer: 4513 = 39. Given away: 2 + 3 = 5 units out of 9. Left: 9 − 5 = 4 units = 20, so 1 unit = 5. At first: 9 units = 9 × 5 = 45 stickers.

22. Jun spent 14 of his money on a toy. He then spent 25 of the remainder on a book. He had $27 left. How much money did Jun have at first?2 marks

Moneytoybook$27$6015 units
Answer: $60Draw 4 units for his money; the toy is 1 unit. The remainder is 3 units. Cut every unit into 5 small units, so the whole bar has 20 small units. Toy: 5 small units. Remainder: 15 small units; book = 25 of 15 = 6 small units; left = 9 small units. 9 small units = $27, so 1 small unit = $3. At first: 20 × $3 = $60.
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