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Year 9 Ratio Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 108 : 84

Answer: 9 : 7

  1. HCF of 108 and 84 is 12
  2. Divide both parts by 12
2.Simplify the ratio 66 : 66

Answer: 1 : 1

  1. HCF of 66 and 66 is 66
  2. Divide both parts by 66
3.Simplify the ratio 21 : 15

Answer: 7 : 5

  1. HCF of 21 and 15 is 3
  2. Divide both parts by 3
4.Simplify the ratio 54 : 30

Answer: 9 : 5

  1. HCF of 54 and 30 is 6
  2. Divide both parts by 6
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 24 : 60

Answer: 2 : 5

  1. HCF of 24 and 60 is 12
  2. Divide both parts by 12

Part B: Divide in a ratio

7.Divide $108 in the ratio 5 : 1.

Answer: $90 and $18

  1. Total parts: 5 + 1 = 6
  2. One part: 108 ÷ 6 = 18
  3. 5 × 18 = 90 and 1 × 18 = 18
8.Divide $76 in the ratio 1 : 1.

Answer: $38 and $38

  1. Total parts: 1 + 1 = 2
  2. One part: 76 ÷ 2 = 38
  3. 1 × 38 = 38 and 1 × 38 = 38
9.Divide $50 in the ratio 1 : 1.

Answer: $25 and $25

  1. Total parts: 1 + 1 = 2
  2. One part: 50 ÷ 2 = 25
  3. 1 × 25 = 25 and 1 × 25 = 25
10.Divide $203 in the ratio 3 : 4.

Answer: $87 and $116

  1. Total parts: 3 + 4 = 7
  2. One part: 203 ÷ 7 = 29
  3. 3 × 29 = 87 and 4 × 29 = 116
11.Divide $138 in the ratio 2 : 4.

Answer: $46 and $92

  1. Total parts: 2 + 4 = 6
  2. One part: 138 ÷ 6 = 23
  3. 2 × 23 = 46 and 4 × 23 = 92
12.Divide $25 in the ratio 2 : 3.

Answer: $10 and $15

  1. Total parts: 2 + 3 = 5
  2. One part: 25 ÷ 5 = 5
  3. 2 × 5 = 10 and 3 × 5 = 15
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