5th Grade Fractions Topic Test — Answers
Answer sheet with worked solutions for the 5th Grade fractions topic test.
5th Grade Fractions Topic Test — Answers
Part A: Equivalent Fractions
1. = [1 mark]
Answer: 30
- 7 × 5 = 35, so multiply the numerator by 5 too
- 6 × 5 = 30
2. = [1 mark]
Answer: 4
- 5 × 4 = 20, so multiply the numerator by 4 too
- 1 × 4 = 4
3. = [1 mark]
Answer: 8
- 1 × 4 = 4, so multiply the denominator by 4 too
- 2 × 4 = 8
4. = [1 mark]
Answer: 6
- 1 × 3 = 3, so multiply the denominator by 3 too
- 2 × 3 = 6
5. = [1 mark]
Answer: 3
- 5 × 3 = 15, so multiply the numerator by 3 too
- 1 × 3 = 3
6. = [1 mark]
Answer: 24
- 1 × 3 = 3, so multiply the denominator by 3 too
- 8 × 3 = 24
Part B: Simplifying Fractions
7.Simplify [1 mark]
Answer:
- HCF of 8 and 10 is 2
- 8 ÷ 2 = 4 and 10 ÷ 2 = 5
8.Simplify [1 mark]
Answer:
- HCF of 12 and 18 is 6
- 12 ÷ 6 = 2 and 18 ÷ 6 = 3
9.Simplify [1 mark]
Answer:
- HCF of 18 and 20 is 2
- 18 ÷ 2 = 9 and 20 ÷ 2 = 10
10.Simplify [1 mark]
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
11.Simplify [1 mark]
Answer:
- HCF of 15 and 24 is 3
- 15 ÷ 3 = 5 and 24 ÷ 3 = 8
12.Simplify [1 mark]
Answer:
- HCF of 28 and 36 is 4
- 28 ÷ 4 = 7 and 36 ÷ 4 = 9
Part C: Comparing and Ordering Fractions
13. (answer space) (write <, > or =)[1 mark]
Answer: <
- Common denominator 10: = and =
- 2 < 8
14. (answer space) (write <, > or =)[1 mark]
Answer: <
- Common denominator 12: = and =
- 2 < 6
15. (answer space) (write <, > or =)[1 mark]
Answer: <
- Common denominator 9: = and =
- 6 < 8
16. (answer space) (write <, > or =)[1 mark]
Answer: >
- Common denominator 4: = and =
- 2 > 1
17. (answer space) (write <, > or =)[1 mark]
Answer: =
- Common denominator 4: = and =
- 2 = 2
Part D: Adding and Subtracting Fractions
18. + [2 marks]
Answer:
- + =
19. + [2 marks]
Answer:
- + =
20. + [2 marks]
Answer:
- + =
21. − [2 marks]
Answer:
- − =
22. + [2 marks]
Answer:
- + =
- Simplify: =
23. + [2 marks]
Answer: 1 (or )
- + =
- As a mixed number: 1
Part E: Fractions of Amounts
24.Find of 8.[2 marks]
Answer: 2
- 8 ÷ 4 = 2
25.Priya has 14 stickers and gives away of them. How many stickers does Priya give away?[2 marks]
Answer: 7 stickers
- 14 ÷ 2 = 7
26.Ruby has 30 stickers and gives away of them. How many stickers does Ruby give away?[2 marks]
Answer: 5 stickers
- 30 ÷ 6 = 5
27.Find of 24.[2 marks]
Answer: 12
- 24 ÷ 2 = 12
Marking tips
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