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Year 7 Ratio Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.

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Year 7 · Mathematics · Ratio & Rates

Year 7 Ratio Worksheet — Level 1 — Answers

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Part A — Simplify

1.Simplify the ratio 14 : 4

Answer: 7 : 2

  1. HCF of 14 and 4 is 2
  2. Divide both parts by 2
2.Simplify the ratio 12 : 14

Answer: 6 : 7

  1. HCF of 12 and 14 is 2
  2. Divide both parts by 2
3.Simplify the ratio 4 : 6

Answer: 2 : 3

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

Answer: 5 : 2

  1. HCF of 10 and 4 is 2
  2. Divide both parts by 2
5.Simplify the ratio 18 : 12

Answer: 3 : 2

  1. HCF of 18 and 12 is 6
  2. Divide both parts by 6
6.Simplify the ratio 32 : 24

Answer: 4 : 3

  1. HCF of 32 and 24 is 8
  2. Divide both parts by 8

Part B — Divide in a ratio

7.Divide $16 in the ratio 1 : 1.

Answer: $8 and $8

  1. Total parts: 1 + 1 = 2
  2. One part: 16 ÷ 2 = 8
  3. 1 × 8 = 8 and 1 × 8 = 8
8.Divide $21 in the ratio 4 : 3.

Answer: $12 and $9

  1. Total parts: 4 + 3 = 7
  2. One part: 21 ÷ 7 = 3
  3. 4 × 3 = 12 and 3 × 3 = 9
9.Divide $20 in the ratio 5 : 5.

Answer: $10 and $10

  1. Total parts: 5 + 5 = 10
  2. One part: 20 ÷ 10 = 2
  3. 5 × 2 = 10 and 5 × 2 = 10
10.Divide $30 in the ratio 1 : 5.

Answer: $5 and $25

  1. Total parts: 1 + 5 = 6
  2. One part: 30 ÷ 6 = 5
  3. 1 × 5 = 5 and 5 × 5 = 25
11.Divide $42 in the ratio 2 : 5.

Answer: $12 and $30

  1. Total parts: 2 + 5 = 7
  2. One part: 42 ÷ 7 = 6
  3. 2 × 6 = 12 and 5 × 6 = 30
12.Divide $12 in the ratio 3 : 1.

Answer: $9 and $3

  1. Total parts: 3 + 1 = 4
  2. One part: 12 ÷ 4 = 3
  3. 3 × 3 = 9 and 1 × 3 = 3
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