Primary 4 Mathematics · Chapter 5 · Answers and explanations
Chapter 5 Revision Paper: Fractions (I) (answers)
Section A · Multiple choice 10 marks
1. The strip is divided into equal parts. What fraction of the strip is shaded? Give your answer in its simplest form.1 mark
(A) 25(B) 53(C) 35(D) 310
Answer: (C) 356 out of 10 equal parts are shaded: 610. Divide the top and bottom by 2: 35. (25 is the part not shaded.)
2. Which fraction is equivalent to 38?1 mark
(A) 611(B) 316(C) 1116(D) 924
Answer: (D) 924Multiply the top and bottom by 3: 3 × 38 × 3 = 924. (Adding the same number to the top and bottom, or changing only one of them, does not keep the value.)
3. Which of these fractions is in its simplest form?1 mark
(A) 712(B) 69(C) 1015(D) 814
Answer: (A) 712A fraction is in simplest form when no number except 1 divides both the top and bottom. 7 and 12 share no such number. 69 = 23, 1015 = 23 and 814 = 47 can all be made simpler.
4. Point P is shown on the number line. What mixed number does P stand for?1 mark
(A) 2 35(B) 3 25(C) 3 35(D) 2 25
Answer: (B) 3 25Each space from 3 to 4 is divided into 5 equal parts. P is 2 parts after 3, so P = 3 25.
Answer: (D) 4 5629 ÷ 6 = 4 remainder 5. So there are 4 wholes and 56 left over: 296 = 4 56.
7. Each circle is divided into equal parts. What improper fraction does the picture show?1 mark
(A) 114(B) 1112(C) 113(D) 84
Answer: (A) 114Each circle has 4 equal parts. 4 + 4 + 3 = 11 parts are shaded, so the picture shows 114.
8. Which fraction is greater than 23 but smaller than 56?1 mark
(A) 712(B) 34(C) 1112(D) 58
Answer: (B) 34Change to twelfths: 23 = 812 and 56 = 1012. The fraction between them is 912 = 34. (712 is less than 812; 1112 is more than 1012; 58 = 1524 is less than 1624 = 23.)
9. Arrange the numbers in order, starting with the smallest.1 mark
Answer: (C) 52, 2 58, 2 3452 = 2 12 = 2 48; 2 34 = 2 68. All have 2 wholes, so compare the eighths: 4, 5, 6. Order: 52, 2 58, 2 34.
10. Which is the greatest?1 mark
(A) 3 34(B) 113(C) 72(D) 195
Answer: (D) 195Change each to a mixed number: 195 = 3 45, 113 = 3 23, 72 = 3 12. Compare the fractions: 12 < 23 < 34 < 45 (use 60ths: 30, 40, 45, 48). The greatest is 195.
Section B · Short answers 4 marks
11. Write 2842 in its simplest form.1 mark
Answer: 23Divide the top and bottom by 14: 28 ÷ 14 = 2 and 42 ÷ 14 = 3. So 2842 = 23.
12. Express 3812 as a mixed number in its simplest form.1 mark
Answer: 3 1638 ÷ 12 = 3 remainder 2, so 3812 = 3 212. Divide the top and bottom of 212 by 2: 16. The answer is 3 16.
13. 59 = 20□. What is the missing number?1 mark
Answer: 365 × 4 = 20, so multiply the bottom by 4 as well: 9 × 4 = 36.
14. Arrange 34, 45 and 710 in order, starting with the smallest.1 mark
Answer: 710, 34, 45Change to twentieths: 34 = 1520, 45 = 1620, 710 = 1420. Since 14 < 15 < 16, the order is 710, 34, 45.
Section C · Show your working 16 marks
15. There are 36 pupils in a club. 15 of them are girls. What fraction of the pupils in the club are boys? Give your answer in its simplest form.2 marks
Answer: 712Boys: 36 − 15 = 21. Fraction of boys: 2136. Divide the top and bottom by 3: 712.
16. A rope is 6 410 m long. (a) Write its length as a mixed number with the fraction in its simplest form. (b) Express your answer in (a) as an improper fraction.2 marks
Answer: (a) 6 25 m (b) 325 m(a) Divide the top and bottom of 410 by 2: 25, so the length is 6 25 m. (b) 6 × 5 + 2 = 32, so 6 25 = 325 m.
17. P and Q are marked on the number line. (a) Write P as a mixed number in its simplest form. (b) Write Q as an improper fraction.2 marks
Answer: (a) 3 23 (b) 296Each space from 3 to 4 is divided into 6 equal parts. (a) P is 4 parts after 3: 3 46 = 3 23. (b) Q is 5 parts after 4: 4 56 = 4 × 6 + 56 = 296.
18. Ravi's rope is 176 m long. Sam's rope is 2 34 m long. Tim's rope is 83 m long. Arrange the three pupils in order, starting with the one with the longest rope.2 marks
Answer: Ravi, Sam, TimChange all to twelfths: 176 = 3412; 2 34 = 114 = 3312; 83 = 3212. Since 34 > 33 > 32, the order is Ravi, Sam, Tim.
19. A cake was cut into 20 equal slices. 5 slices were eaten on Monday and 3 slices on Tuesday. What fraction of the cake was left? Give your answer in its simplest form.2 marks
Answer: 35Slices left: 20 − 5 − 3 = 12. Fraction left: 1220. Divide the top and bottom by 4: 35.
20. Hana has a ribbon 3 35 m long. She cuts it into pieces that are each 15 m long. How many pieces does she get?2 marks
Answer: 181 m = 55 m, so 3 m = 15 fifths. Add the other 3 fifths: 15 + 3 = 18. 3 35 = 185, so she gets 18 pieces.
21. A tank has 476 litres of water. Mia pours the water into jugs that each hold 1 litre when full. (a) How many jugs are completely filled? (b) How much water is left over? Give your answer as a fraction of a litre.2 marks
Answer: (a) 7 jugs (b) 56 litre47 ÷ 6 = 7 remainder 5, so 476 = 7 56. (a) 7 jugs are completely filled. (b) 56 litre is left over.
22. Find a fraction with denominator 18 that is greater than 12 and smaller than 23, and is in its simplest form.2 marks
Answer: 111812 = 918 and 23 = 1218. The fractions between them are 1018 and 1118. But 1018 = 59 is not in simplest form (10 and 18 are both divisible by 2). So the answer is 1118.
Shukr Learns · free practice for parents and children · original questions, not affiliated with any school or agency