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Year 10 Ratio Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 ratio & rates worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Ratio & Rates

Year 10 Ratio Worksheet — Level 3 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 54 : 27

Answer: 2 : 1

  1. HCF of 54 and 27 is 27
  2. Divide both parts by 27
2.Simplify the ratio 4 : 8

Answer: 1 : 2

  1. HCF of 4 and 8 is 4
  2. Divide both parts by 4
3.Simplify the ratio 20 : 40

Answer: 1 : 2

  1. HCF of 20 and 40 is 20
  2. Divide both parts by 20
4.Simplify the ratio 14 : 2

Answer: 7 : 1

  1. HCF of 14 and 2 is 2
  2. Divide both parts by 2
5.Simplify the ratio 20 : 24

Answer: 5 : 6

  1. HCF of 20 and 24 is 4
  2. Divide both parts by 4
6.Simplify the ratio 33 : 44

Answer: 3 : 4

  1. HCF of 33 and 44 is 11
  2. Divide both parts by 11

Part B: Divide in a ratio

7.Divide $54 in the ratio 4 : 2.

Answer: $36 and $18

  1. Total parts: 4 + 2 = 6
  2. One part: 54 ÷ 6 = 9
  3. 4 × 9 = 36 and 2 × 9 = 18
8.Divide $108 in the ratio 3 : 3.

Answer: $54 and $54

  1. Total parts: 3 + 3 = 6
  2. One part: 108 ÷ 6 = 18
  3. 3 × 18 = 54 and 3 × 18 = 54
9.Divide $175 in the ratio 3 : 2.

Answer: $105 and $70

  1. Total parts: 3 + 2 = 5
  2. One part: 175 ÷ 5 = 35
  3. 3 × 35 = 105 and 2 × 35 = 70
10.Divide $184 in the ratio 3 : 5.

Answer: $69 and $115

  1. Total parts: 3 + 5 = 8
  2. One part: 184 ÷ 8 = 23
  3. 3 × 23 = 69 and 5 × 23 = 115
11.Divide $252 in the ratio 4 : 5.

Answer: $112 and $140

  1. Total parts: 4 + 5 = 9
  2. One part: 252 ÷ 9 = 28
  3. 4 × 28 = 112 and 5 × 28 = 140
12.Divide $192 in the ratio 3 : 3.

Answer: $96 and $96

  1. Total parts: 3 + 3 = 6
  2. One part: 192 ÷ 6 = 32
  3. 3 × 32 = 96 and 3 × 32 = 96
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