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Year 9 Ratio Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers

Part A: Simplify

1.Simplify the ratio 8 : 36

Answer: 2 : 9

  1. HCF of 8 and 36 is 4
  2. Divide both parts by 4
2.Simplify the ratio 28 : 4

Answer: 7 : 1

  1. HCF of 28 and 4 is 4
  2. Divide both parts by 4
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 20 : 24

Answer: 5 : 6

  1. HCF of 20 and 24 is 4
  2. Divide both parts by 4
5.Simplify the ratio 36 : 16

Answer: 9 : 4

  1. HCF of 36 and 16 is 4
  2. Divide both parts by 4
6.Simplify the ratio 20 : 16

Answer: 5 : 4

  1. HCF of 20 and 16 is 4
  2. Divide both parts by 4

Part B: Divide in a ratio

7.Divide $60 in the ratio 2 : 4.

Answer: $20 and $40

  1. Total parts: 2 + 4 = 6
  2. One part: 60 ÷ 6 = 10
  3. 2 × 10 = 20 and 4 × 10 = 40
8.Divide $90 in the ratio 5 : 4.

Answer: $50 and $40

  1. Total parts: 5 + 4 = 9
  2. One part: 90 ÷ 9 = 10
  3. 5 × 10 = 50 and 4 × 10 = 40
9.Divide $12 in the ratio 4 : 2.

Answer: $8 and $4

  1. Total parts: 4 + 2 = 6
  2. One part: 12 ÷ 6 = 2
  3. 4 × 2 = 8 and 2 × 2 = 4
10.Divide $18 in the ratio 1 : 1.

Answer: $9 and $9

  1. Total parts: 1 + 1 = 2
  2. One part: 18 ÷ 2 = 9
  3. 1 × 9 = 9 and 1 × 9 = 9
11.Divide $72 in the ratio 3 : 3.

Answer: $36 and $36

  1. Total parts: 3 + 3 = 6
  2. One part: 72 ÷ 6 = 12
  3. 3 × 12 = 36 and 3 × 12 = 36
12.Divide $80 in the ratio 3 : 5.

Answer: $30 and $50

  1. Total parts: 3 + 5 = 8
  2. One part: 80 ÷ 8 = 10
  3. 3 × 10 = 30 and 5 × 10 = 50
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