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Year 9 Ratio Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & Rates

Year 9 Ratio Worksheet — Level 2 — Practice Set 4 — Answers

Part A: Simplify

1.Simplify the ratio 18 : 45

Answer: 2 : 5

  1. HCF of 18 and 45 is 9
  2. Divide both parts by 9
2.Simplify the ratio 56 : 14

Answer: 4 : 1

  1. HCF of 56 and 14 is 14
  2. Divide both parts by 14
3.Simplify the ratio 16 : 36

Answer: 4 : 9

  1. HCF of 16 and 36 is 4
  2. Divide both parts by 4
4.Simplify the ratio 84 : 24

Answer: 7 : 2

  1. HCF of 84 and 24 is 12
  2. Divide both parts by 12
5.Simplify the ratio 40 : 15

Answer: 8 : 3

  1. HCF of 40 and 15 is 5
  2. Divide both parts by 5
6.Simplify the ratio 63 : 54

Answer: 7 : 6

  1. HCF of 63 and 54 is 9
  2. Divide both parts by 9

Part B: Divide in a ratio

7.Divide $25 in the ratio 1 : 4.

Answer: $5 and $20

  1. Total parts: 1 + 4 = 5
  2. One part: 25 ÷ 5 = 5
  3. 1 × 5 = 5 and 4 × 5 = 20
8.Divide $30 in the ratio 5 : 1.

Answer: $25 and $5

  1. Total parts: 5 + 1 = 6
  2. One part: 30 ÷ 6 = 5
  3. 5 × 5 = 25 and 1 × 5 = 5
9.Divide $12 in the ratio 1 : 5.

Answer: $2 and $10

  1. Total parts: 1 + 5 = 6
  2. One part: 12 ÷ 6 = 2
  3. 1 × 2 = 2 and 5 × 2 = 10
10.Divide $99 in the ratio 5 : 4.

Answer: $55 and $44

  1. Total parts: 5 + 4 = 9
  2. One part: 99 ÷ 9 = 11
  3. 5 × 11 = 55 and 4 × 11 = 44
11.Divide $44 in the ratio 3 : 1.

Answer: $33 and $11

  1. Total parts: 3 + 1 = 4
  2. One part: 44 ÷ 4 = 11
  3. 3 × 11 = 33 and 1 × 11 = 11
12.Divide $33 in the ratio 2 : 1.

Answer: $22 and $11

  1. Total parts: 2 + 1 = 3
  2. One part: 33 ÷ 3 = 11
  3. 2 × 11 = 22 and 1 × 11 = 11
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