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Year 9 Ratio Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers

Part A: Simplify

1.Simplify the ratio 27 : 27

Answer: 1 : 1

  1. HCF of 27 and 27 is 27
  2. Divide both parts by 27
2.Simplify the ratio 36 : 32

Answer: 9 : 8

  1. HCF of 36 and 32 is 4
  2. Divide both parts by 4
3.Simplify the ratio 18 : 3

Answer: 6 : 1

  1. HCF of 18 and 3 is 3
  2. Divide both parts by 3
4.Simplify the ratio 36 : 28

Answer: 9 : 7

  1. HCF of 36 and 28 is 4
  2. Divide both parts by 4
5.Simplify the ratio 36 : 4

Answer: 9 : 1

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

Answer: 6 : 1

  1. HCF of 24 and 4 is 4
  2. Divide both parts by 4

Part B: Divide in a ratio

7.Divide $36 in the ratio 2 : 2.

Answer: $18 and $18

  1. Total parts: 2 + 2 = 4
  2. One part: 36 ÷ 4 = 9
  3. 2 × 9 = 18 and 2 × 9 = 18
8.Divide $56 in the ratio 5 : 2.

Answer: $40 and $16

  1. Total parts: 5 + 2 = 7
  2. One part: 56 ÷ 7 = 8
  3. 5 × 8 = 40 and 2 × 8 = 16
9.Divide $60 in the ratio 1 : 5.

Answer: $10 and $50

  1. Total parts: 1 + 5 = 6
  2. One part: 60 ÷ 6 = 10
  3. 1 × 10 = 10 and 5 × 10 = 50
10.Divide $45 in the ratio 5 : 4.

Answer: $25 and $20

  1. Total parts: 5 + 4 = 9
  2. One part: 45 ÷ 9 = 5
  3. 5 × 5 = 25 and 4 × 5 = 20
11.Divide $56 in the ratio 2 : 5.

Answer: $16 and $40

  1. Total parts: 2 + 5 = 7
  2. One part: 56 ÷ 7 = 8
  3. 2 × 8 = 16 and 5 × 8 = 40
12.Divide $22 in the ratio 1 : 1.

Answer: $11 and $11

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