Shukr Learns
Primary 4 Mathematics · Chapter 6 · Answers and explanations

Lesson 6.5: Word Problems: Fraction of a Set (answers)

Section A · Multiple choice 4 marks

1. Tom had 48 marbles. He gave 14 of them to his friend. How many marbles did he have left?1 mark

12? left48
(A) 36(B) 12(C) 60(D) 44
Answer: (A) 36He gave away 48 ÷ 4 = 12 marbles. Left: 48 − 12 = 36. (Or 3 units of 12 = 36.)

2. 35 of the pupils in a class are girls. There are 24 girls. How many pupils are there in the class?1 mark

Girls24? pupils
(A) 72(B) 40(C) 16(D) 60
Answer: (B) 403 units = 24, so 1 unit = 24 ÷ 3 = 8. 5 units = 5 × 8 = 40 pupils.

3. 27 of the ribbons in a box are red. There are 10 red ribbons. How many ribbons are there in the box?1 mark

Red10? ribbons
(A) 25(B) 70(C) 35(D) 14
Answer: (C) 352 units = 10, so 1 unit = 10 ÷ 2 = 5. 7 units = 7 × 5 = 35 ribbons.

4. Ali had $60. He spent 25 of his money on a book. How much money did he have left?1 mark

$24? left$60
(A) $24(B) $12(C) $40(D) $36
Answer: (D) $36Spent: 60 ÷ 5 = 12, 2 × 12 = $24. Left: 60 − 24 = $36.

Section B · Write your answer 11 marks

5. There are 72 pupils in a choir group. 58 of them are girls. How many boys are there?1 mark

45? boys72
Answer: 27Girls: 72 ÷ 8 = 9, 5 × 9 = 45.
Boys: 72 − 45 = 27. (Or 3 units × 9 = 27.)

6. Jia read 13 of her storybook. She read 14 pages. How many pages are there in the book?1 mark

14? pages
Answer: 421 unit = 14 pages. 3 units = 3 × 14 = 42 pages.

7. Raj had 45 cards. He gave 29 of them to Sam. How many cards did Raj have left?1 mark

10? left45
Answer: 351 unit = 45 ÷ 9 = 5. Gave away: 2 × 5 = 10. Left: 45 − 10 = 35.

8. 34 of the passengers on a bus are adults. The other 9 passengers are children. How many passengers are on the bus?1 mark

Adults9? passengers
Answer: 36Children are 1 unit = 9. The whole is 4 units: 4 × 9 = 36 passengers.

9. Sam has 56 coins. 38 of them are $1 coins. How many of his coins are not $1 coins?1 mark

$1 coins? other56
Answer: 351 unit = 56 ÷ 8 = 7. Not $1 coins: 5 units = 5 × 7 = 35.

10. Mrs Tan baked 64 muffins. She sold 38 of them in the morning and 14 of them in the afternoon. How many muffins were left?2 marks

2416? left64
Answer: 241 unit = 64 ÷ 8 = 8. Morning: 3 × 8 = 24. Afternoon: 14 = 28, so 2 × 8 = 16.
Left: 64 − 24 − 16 = 24 muffins.

11. Ben spent 25 of his money on a book and 15 of his money on lunch. He had $18 left. How much money did he have at first?2 marks

booklunch$18$452 units = $18
Answer: $45Spent: 25 + 15 = 35, so left = 25.
2 units = $18, so 1 unit = $9. 5 units = 5 × $9 = $45.

12. Lina has some beads. 38 of them are red, 14 of them are blue and the other 15 beads are green. How many beads does she have in all? How many of them are blue?2 marks

redblue15403 units = 15
Answer: 40; 10Blue: 14 = 28. Red and blue = 3 + 2 = 5 units, so green = 8 − 5 = 3 units.
3 units = 15, so 1 unit = 5. All the beads: 8 × 5 = 40.
Blue: 2 × 5 = 10.
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