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Year 5 Fractions Topic Test — Answers

Answer sheet with worked solutions for the Year 5 fractions topic test.

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Year 5 · Mathematics · Fractions

Year 5 Fractions Topic Test — Answers

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Part A — Equivalent Fractions

1. = [1 mark]

Answer: 5

  1. 3 × 5 = 15, so multiply the numerator by 5 too
  2. 1 × 5 = 5
2. = [1 mark]

Answer: 3

  1. 2 × 3 = 6, so multiply the numerator by 3 too
  2. 1 × 3 = 3
3. = [1 mark]

Answer: 6

  1. 2 × 2 = 4, so multiply the denominator by 2 too
  2. 3 × 2 = 6
4. = [1 mark]

Answer: 12

  1. 3 × 3 = 9, so multiply the denominator by 3 too
  2. 4 × 3 = 12
5.Which fraction is equivalent to ?[1 mark]
  1. A
  2. B
  3. C
  4. D

Answer:

Multiply numerator and denominator by 4: .

6.Which fraction is equivalent to ?[1 mark]
  1. A
  2. B
  3. C
  4. D

Answer:

Multiply numerator and denominator by 3: .

Part B — Simplifying Fractions

7.Simplify [1 mark]

Answer:

  1. HCF of 3 and 12 is 3
  2. 3 ÷ 3 = 1 and 12 ÷ 3 = 4
8.Simplify [1 mark]

Answer:

  1. HCF of 20 and 25 is 5
  2. 20 ÷ 5 = 4 and 25 ÷ 5 = 5
9.Simplify [1 mark]

Answer:

  1. HCF of 12 and 16 is 4
  2. 12 ÷ 4 = 3 and 16 ÷ 4 = 4
10.Simplify [1 mark]

Answer:

  1. HCF of 18 and 42 is 6
  2. 18 ÷ 6 = 3 and 42 ÷ 6 = 7
11.Simplify [1 mark]

Answer:

  1. HCF of 3 and 21 is 3
  2. 3 ÷ 3 = 1 and 21 ÷ 3 = 7
12.Simplify [1 mark]

Answer:

  1. HCF of 5 and 10 is 5
  2. 5 ÷ 5 = 1 and 10 ÷ 5 = 2

Part C — Comparing and Ordering Fractions

13. (write <, > or =)[1 mark]

Answer: =

  1. Common denominator 6: = and =
  2. 4 = 4
14. (write <, > or =)[1 mark]

Answer: >

  1. Common denominator 12: = and =
  2. 3 > 2
15. (write <, > or =)[1 mark]

Answer: <

  1. Common denominator 18: = and =
  2. 3 < 17
16. (write <, > or =)[1 mark]

Answer: <

  1. Common denominator 6: = and =
  2. 2 < 5
17.Order from smallest to largest: , , , [1 mark]

Answer: , , ,

  1. Convert to a common denominator of 24: = , = , = , =

Part D — Adding and Subtracting Fractions

18. + [2 marks]

Answer: 1

  1. + =
  2. Simplify: = 1
19. + [2 marks]

Answer:

  1. + =
20. − [2 marks]

Answer:

  1. − =
21. + [2 marks]

Answer: 1

  1. + =
  2. Simplify: = 1
22. − [2 marks]

Answer:

  1. − =
23. − [2 marks]

Answer:

  1. − =

Part E — Fractions of Amounts

24.Find of 36.[2 marks]

Answer: 12

  1. 36 ÷ 9 = 4
  2. 4 × 3 = 12
25.Grace has 56 stickers and gives away of them. How many stickers does Grace give away?[2 marks]

Answer: 28 stickers

  1. 56 ÷ 8 = 7
  2. 7 × 4 = 28
26.Lucas has 132 stickers and gives away of them. How many stickers does Lucas give away?[2 marks]

Answer: 44 stickers

  1. 132 ÷ 12 = 11
  2. 11 × 4 = 44
27.Find of 40.[2 marks]

Answer: 16

  1. 40 ÷ 5 = 8
  2. 8 × 2 = 16
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