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Year 7 Ratio Worksheet — Level 1 — Practice Set 2 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & Rates

Year 7 Ratio Worksheet — Level 1 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 12 : 2

Answer: 6 : 1

  1. HCF of 12 and 2 is 2
  2. Divide both parts by 2
2.Simplify the ratio 10 : 14

Answer: 5 : 7

  1. HCF of 10 and 14 is 2
  2. Divide both parts by 2
3.Simplify the ratio 4 : 4

Answer: 1 : 1

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

Answer: 8 : 5

  1. HCF of 16 and 10 is 2
  2. Divide both parts by 2
5.Simplify the ratio 27 : 24

Answer: 9 : 8

  1. HCF of 27 and 24 is 3
  2. Divide both parts by 3
6.Simplify the ratio 12 : 15

Answer: 4 : 5

  1. HCF of 12 and 15 is 3
  2. Divide both parts by 3

Part B: Divide in a ratio

7.Divide $45 in the ratio 2 : 3.

Answer: $18 and $27

  1. Total parts: 2 + 3 = 5
  2. One part: 45 ÷ 5 = 9
  3. 2 × 9 = 18 and 3 × 9 = 27
8.Divide $40 in the ratio 5 : 3.

Answer: $25 and $15

  1. Total parts: 5 + 3 = 8
  2. One part: 40 ÷ 8 = 5
  3. 5 × 5 = 25 and 3 × 5 = 15
9.Divide $12 in the ratio 2 : 2.

Answer: $6 and $6

  1. Total parts: 2 + 2 = 4
  2. One part: 12 ÷ 4 = 3
  3. 2 × 3 = 6 and 2 × 3 = 6
10.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
11.Divide $6 in the ratio 1 : 1.

Answer: $3 and $3

  1. Total parts: 1 + 1 = 2
  2. One part: 6 ÷ 2 = 3
  3. 1 × 3 = 3 and 1 × 3 = 3
12.Divide $14 in the ratio 5 : 2.

Answer: $10 and $4

  1. Total parts: 5 + 2 = 7
  2. One part: 14 ÷ 7 = 2
  3. 5 × 2 = 10 and 2 × 2 = 4
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