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Year 6 Ratio Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 6 ratio & rates worksheet.

Year 6 · Mathematics · Ratio & Rates

Year 6 Ratio Worksheet — Level 1 — Answers

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Part A — Simplify

1.Simplify the ratio 15 : 24

Answer: 5 : 8

  1. HCF of 15 and 24 is 3
  2. Divide both parts by 3
2.Simplify the ratio 18 : 24

Answer: 3 : 4

  1. HCF of 18 and 24 is 6
  2. Divide both parts by 6
3.Simplify the ratio 28 : 8

Answer: 7 : 2

  1. HCF of 28 and 8 is 4
  2. Divide both parts by 4
4.Simplify the ratio 12 : 2

Answer: 6 : 1

  1. HCF of 12 and 2 is 2
  2. Divide both parts by 2
5.Simplify the ratio 24 : 24

Answer: 1 : 1

  1. HCF of 24 and 24 is 24
  2. Divide both parts by 24
6.Simplify the ratio 2 : 14

Answer: 1 : 7

  1. HCF of 2 and 14 is 2
  2. Divide both parts by 2

Part B — Divide in a ratio

7.Divide $4 in the ratio 1 : 1.

Answer: $2 and $2

  1. Total parts: 1 + 1 = 2
  2. One part: 4 ÷ 2 = 2
  3. 1 × 2 = 2 and 1 × 2 = 2
8.Divide $66 in the ratio 1 : 5.

Answer: $11 and $55

  1. Total parts: 1 + 5 = 6
  2. One part: 66 ÷ 6 = 11
  3. 1 × 11 = 11 and 5 × 11 = 55
9.Divide $36 in the ratio 2 : 1.

Answer: $24 and $12

  1. Total parts: 2 + 1 = 3
  2. One part: 36 ÷ 3 = 12
  3. 2 × 12 = 24 and 1 × 12 = 12
10.Divide $88 in the ratio 3 : 5.

Answer: $33 and $55

  1. Total parts: 3 + 5 = 8
  2. One part: 88 ÷ 8 = 11
  3. 3 × 11 = 33 and 5 × 11 = 55
11.Divide $70 in the ratio 4 : 3.

Answer: $40 and $30

  1. Total parts: 4 + 3 = 7
  2. One part: 70 ÷ 7 = 10
  3. 4 × 10 = 40 and 3 × 10 = 30
12.Divide $45 in the ratio 4 : 1.

Answer: $36 and $9

  1. Total parts: 4 + 1 = 5
  2. One part: 45 ÷ 5 = 9
  3. 4 × 9 = 36 and 1 × 9 = 9
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