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Year 8 Ratio Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.

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Year 8 · Mathematics · Ratio & Rates

Year 8 Ratio Worksheet — Level 3 — Answers

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Part A — Simplify

1.Simplify the ratio 21 : 21

Answer: 1 : 1

  1. HCF of 21 and 21 is 21
  2. Divide both parts by 21
2.Simplify the ratio 35 : 45

Answer: 7 : 9

  1. HCF of 35 and 45 is 5
  2. Divide both parts by 5
3.Simplify the ratio 7 : 21

Answer: 1 : 3

  1. HCF of 7 and 21 is 7
  2. Divide both parts by 7
4.Simplify the ratio 6 : 16

Answer: 3 : 8

  1. HCF of 6 and 16 is 2
  2. Divide both parts by 2
5.Simplify the ratio 16 : 12

Answer: 4 : 3

  1. HCF of 16 and 12 is 4
  2. Divide both parts by 4
6.Simplify the ratio 16 : 10

Answer: 8 : 5

  1. HCF of 16 and 10 is 2
  2. Divide both parts by 2

Part B — Divide in a ratio

7.Divide $21 in the ratio 2 : 1.

Answer: $14 and $7

  1. Total parts: 2 + 1 = 3
  2. One part: 21 ÷ 3 = 7
  3. 2 × 7 = 14 and 1 × 7 = 7
8.Divide $154 in the ratio 5 : 2.

Answer: $110 and $44

  1. Total parts: 5 + 2 = 7
  2. One part: 154 ÷ 7 = 22
  3. 5 × 22 = 110 and 2 × 22 = 44
9.Divide $119 in the ratio 3 : 4.

Answer: $51 and $68

  1. Total parts: 3 + 4 = 7
  2. One part: 119 ÷ 7 = 17
  3. 3 × 17 = 51 and 4 × 17 = 68
10.Divide $66 in the ratio 3 : 3.

Answer: $33 and $33

  1. Total parts: 3 + 3 = 6
  2. One part: 66 ÷ 6 = 11
  3. 3 × 11 = 33 and 3 × 11 = 33
11.Divide $48 in the ratio 1 : 3.

Answer: $12 and $36

  1. Total parts: 1 + 3 = 4
  2. One part: 48 ÷ 4 = 12
  3. 1 × 12 = 12 and 3 × 12 = 36
12.Divide $273 in the ratio 5 : 2.

Answer: $195 and $78

  1. Total parts: 5 + 2 = 7
  2. One part: 273 ÷ 7 = 39
  3. 5 × 39 = 195 and 2 × 39 = 78
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