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Year 8 Ratio Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Ratio & Rates

Year 8 Ratio Worksheet — Level 3 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 30 : 12

Answer: 5 : 2

  1. HCF of 30 and 12 is 6
  2. Divide both parts by 6
2.Simplify the ratio 48 : 24

Answer: 2 : 1

  1. HCF of 48 and 24 is 24
  2. Divide both parts by 24
3.Simplify the ratio 10 : 90

Answer: 1 : 9

  1. HCF of 10 and 90 is 10
  2. Divide both parts by 10
4.Simplify the ratio 11 : 77

Answer: 1 : 7

  1. HCF of 11 and 77 is 11
  2. Divide both parts by 11
5.Simplify the ratio 9 : 9

Answer: 1 : 1

  1. HCF of 9 and 9 is 9
  2. Divide both parts by 9
6.Simplify the ratio 35 : 20

Answer: 7 : 4

  1. HCF of 35 and 20 is 5
  2. Divide both parts by 5

Part B: Divide in a ratio

7.Divide $35 in the ratio 3 : 2.

Answer: $21 and $14

  1. Total parts: 3 + 2 = 5
  2. One part: 35 ÷ 5 = 7
  3. 3 × 7 = 21 and 2 × 7 = 14
8.Divide $130 in the ratio 3 : 2.

Answer: $78 and $52

  1. Total parts: 3 + 2 = 5
  2. One part: 130 ÷ 5 = 26
  3. 3 × 26 = 78 and 2 × 26 = 52
9.Divide $114 in the ratio 2 : 4.

Answer: $38 and $76

  1. Total parts: 2 + 4 = 6
  2. One part: 114 ÷ 6 = 19
  3. 2 × 19 = 38 and 4 × 19 = 76
10.Divide $108 in the ratio 3 : 1.

Answer: $81 and $27

  1. Total parts: 3 + 1 = 4
  2. One part: 108 ÷ 4 = 27
  3. 3 × 27 = 81 and 1 × 27 = 27
11.Divide $66 in the ratio 2 : 4.

Answer: $22 and $44

  1. Total parts: 2 + 4 = 6
  2. One part: 66 ÷ 6 = 11
  3. 2 × 11 = 22 and 4 × 11 = 44
12.Divide $70 in the ratio 5 : 5.

Answer: $35 and $35

  1. Total parts: 5 + 5 = 10
  2. One part: 70 ÷ 10 = 7
  3. 5 × 7 = 35 and 5 × 7 = 35
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