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Year 8 Ratio Worksheet — Level 1 — Answers

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

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Year 8 · Mathematics · Ratio & Rates

Year 8 Ratio Worksheet — Level 1 — Answers

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Part A — Simplify

1.Simplify the ratio 8 : 4

Answer: 2 : 1

  1. HCF of 8 and 4 is 4
  2. Divide both parts by 4
2.Simplify the ratio 6 : 2

Answer: 3 : 1

  1. HCF of 6 and 2 is 2
  2. Divide both parts by 2
3.Simplify the ratio 32 : 8

Answer: 4 : 1

  1. HCF of 32 and 8 is 8
  2. Divide both parts by 8
4.Simplify the ratio 24 : 24

Answer: 1 : 1

  1. HCF of 24 and 24 is 24
  2. Divide both parts by 24
5.Simplify the ratio 14 : 16

Answer: 7 : 8

  1. HCF of 14 and 16 is 2
  2. Divide both parts by 2
6.Simplify the ratio 20 : 12

Answer: 5 : 3

  1. HCF of 20 and 12 is 4
  2. Divide both parts by 4

Part B — Divide in a ratio

7.Divide $24 in the ratio 5 : 3.

Answer: $15 and $9

  1. Total parts: 5 + 3 = 8
  2. One part: 24 ÷ 8 = 3
  3. 5 × 3 = 15 and 3 × 3 = 9
8.Divide $99 in the ratio 5 : 4.

Answer: $55 and $44

  1. Total parts: 5 + 4 = 9
  2. One part: 99 ÷ 9 = 11
  3. 5 × 11 = 55 and 4 × 11 = 44
9.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
10.Divide $96 in the ratio 4 : 4.

Answer: $48 and $48

  1. Total parts: 4 + 4 = 8
  2. One part: 96 ÷ 8 = 12
  3. 4 × 12 = 48 and 4 × 12 = 48
11.Divide $15 in the ratio 2 : 1.

Answer: $10 and $5

  1. Total parts: 2 + 1 = 3
  2. One part: 15 ÷ 3 = 5
  3. 2 × 5 = 10 and 1 × 5 = 5
12.Divide $55 in the ratio 4 : 1.

Answer: $44 and $11

  1. Total parts: 4 + 1 = 5
  2. One part: 55 ÷ 5 = 11
  3. 4 × 11 = 44 and 1 × 11 = 11
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