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Year 7 Ratio Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers

Part A: Simplify

1.Simplify the ratio 14 : 12

Answer: 7 : 6

  1. HCF of 14 and 12 is 2
  2. Divide both parts by 2
2.Simplify the ratio 18 : 3

Answer: 6 : 1

  1. HCF of 18 and 3 is 3
  2. Divide both parts by 3
3.Simplify the ratio 14 : 6

Answer: 7 : 3

  1. HCF of 14 and 6 is 2
  2. Divide both parts by 2
4.Simplify the ratio 27 : 24

Answer: 9 : 8

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

Answer: 1 : 1

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

Answer: 8 : 3

  1. HCF of 16 and 6 is 2
  2. Divide both parts by 2

Part B: Divide in a ratio

7.Divide $30 in the ratio 1 : 4.

Answer: $6 and $24

  1. Total parts: 1 + 4 = 5
  2. One part: 30 ÷ 5 = 6
  3. 1 × 6 = 6 and 4 × 6 = 24
8.Divide $90 in the ratio 4 : 5.

Answer: $40 and $50

  1. Total parts: 4 + 5 = 9
  2. One part: 90 ÷ 9 = 10
  3. 4 × 10 = 40 and 5 × 10 = 50
9.Divide $44 in the ratio 2 : 2.

Answer: $22 and $22

  1. Total parts: 2 + 2 = 4
  2. One part: 44 ÷ 4 = 11
  3. 2 × 11 = 22 and 2 × 11 = 22
10.Divide $24 in the ratio 4 : 4.

Answer: $12 and $12

  1. Total parts: 4 + 4 = 8
  2. One part: 24 ÷ 8 = 3
  3. 4 × 3 = 12 and 4 × 3 = 12
11.Divide $35 in the ratio 3 : 4.

Answer: $15 and $20

  1. Total parts: 3 + 4 = 7
  2. One part: 35 ÷ 7 = 5
  3. 3 × 5 = 15 and 4 × 5 = 20
12.Divide $10 in the ratio 1 : 1.

Answer: $5 and $5

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