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Year 7 Ratio Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & Rates

Year 7 Ratio Worksheet — Level 1 — Answers

Part A: Simplify

1.Simplify the ratio 4 : 14

Answer: 2 : 7

  1. HCF of 4 and 14 is 2
  2. Divide both parts by 2
2.Simplify the ratio 16 : 36

Answer: 4 : 9

  1. HCF of 16 and 36 is 4
  2. Divide both parts by 4
3.Simplify the ratio 6 : 9

Answer: 2 : 3

  1. HCF of 6 and 9 is 3
  2. Divide both parts by 3
4.Simplify the ratio 8 : 8

Answer: 1 : 1

  1. HCF of 8 and 8 is 8
  2. Divide both parts by 8
5.Simplify the ratio 2 : 16

Answer: 1 : 8

  1. HCF of 2 and 16 is 2
  2. Divide both parts by 2
6.Simplify the ratio 28 : 24

Answer: 7 : 6

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

Part B: Divide in a ratio

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

Answer: $9 and $15

  1. Total parts: 3 + 5 = 8
  2. One part: 24 ÷ 8 = 3
  3. 3 × 3 = 9 and 5 × 3 = 15
8.Divide $21 in the ratio 2 : 5.

Answer: $6 and $15

  1. Total parts: 2 + 5 = 7
  2. One part: 21 ÷ 7 = 3
  3. 2 × 3 = 6 and 5 × 3 = 15
9.Divide $63 in the ratio 3 : 4.

Answer: $27 and $36

  1. Total parts: 3 + 4 = 7
  2. One part: 63 ÷ 7 = 9
  3. 3 × 9 = 27 and 4 × 9 = 36
10.Divide $18 in the ratio 3 : 3.

Answer: $9 and $9

  1. Total parts: 3 + 3 = 6
  2. One part: 18 ÷ 6 = 3
  3. 3 × 3 = 9 and 3 × 3 = 9
11.Divide $36 in the ratio 1 : 5.

Answer: $6 and $30

  1. Total parts: 1 + 5 = 6
  2. One part: 36 ÷ 6 = 6
  3. 1 × 6 = 6 and 5 × 6 = 30
12.Divide $40 in the ratio 5 : 5.

Answer: $20 and $20

  1. Total parts: 5 + 5 = 10
  2. One part: 40 ÷ 10 = 4
  3. 5 × 4 = 20 and 5 × 4 = 20
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