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Year 10 Ratio Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

Part A: Simplify

1.Simplify the ratio 9 : 3

Answer: 3 : 1

  1. HCF of 9 and 3 is 3
  2. Divide both parts by 3
2.Simplify the ratio 81 : 27

Answer: 3 : 1

  1. HCF of 81 and 27 is 27
  2. Divide both parts by 27
3.Simplify the ratio 72 : 96

Answer: 3 : 4

  1. HCF of 72 and 96 is 24
  2. Divide both parts by 24
4.Simplify the ratio 28 : 36

Answer: 7 : 9

  1. HCF of 28 and 36 is 4
  2. Divide both parts by 4
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 25 : 25

Answer: 1 : 1

  1. HCF of 25 and 25 is 25
  2. Divide both parts by 25

Part B: Divide in a ratio

7.Divide $296 in the ratio 4 : 4.

Answer: $148 and $148

  1. Total parts: 4 + 4 = 8
  2. One part: 296 ÷ 8 = 37
  3. 4 × 37 = 148 and 4 × 37 = 148
8.Divide $320 in the ratio 5 : 3.

Answer: $200 and $120

  1. Total parts: 5 + 3 = 8
  2. One part: 320 ÷ 8 = 40
  3. 5 × 40 = 200 and 3 × 40 = 120
9.Divide $228 in the ratio 2 : 4.

Answer: $76 and $152

  1. Total parts: 2 + 4 = 6
  2. One part: 228 ÷ 6 = 38
  3. 2 × 38 = 76 and 4 × 38 = 152
10.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
11.Divide $90 in the ratio 2 : 3.

Answer: $36 and $54

  1. Total parts: 2 + 3 = 5
  2. One part: 90 ÷ 5 = 18
  3. 2 × 18 = 36 and 3 × 18 = 54
12.Divide $16 in the ratio 1 : 3.

Answer: $4 and $12

  1. Total parts: 1 + 3 = 4
  2. One part: 16 ÷ 4 = 4
  3. 1 × 4 = 4 and 3 × 4 = 12
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