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7th Grade Ratio Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.

Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Ratio & Rates

7th Grade Ratio Worksheet — Level 1 — Answers

Part A: Simplify

1.Simplify the ratio 15 : 21

Answer: 5 : 7

  1. HCF of 15 and 21 is 3
  2. Divide both parts by 3
2.Simplify the ratio 36 : 28

Answer: 9 : 7

  1. HCF of 36 and 28 is 4
  2. Divide both parts by 4
3.Simplify the ratio 12 : 27

Answer: 4 : 9

  1. HCF of 12 and 27 is 3
  2. Divide both parts by 3
4.Simplify the ratio 18 : 3

Answer: 6 : 1

  1. HCF of 18 and 3 is 3
  2. Divide both parts by 3
5.Simplify the ratio 4 : 28

Answer: 1 : 7

  1. HCF of 4 and 28 is 4
  2. Divide both parts by 4
6.Simplify the ratio 2 : 16

Answer: 1 : 8

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

Part B: Divide in a ratio

7.Divide $24 in the ratio 3 : 1.

Answer: $18 and $6

  1. Total parts: 3 + 1 = 4
  2. One part: 24 ÷ 4 = 6
  3. 3 × 6 = 18 and 1 × 6 = 6
8.Divide $48 in the ratio 2 : 2.

Answer: $24 and $24

  1. Total parts: 2 + 2 = 4
  2. One part: 48 ÷ 4 = 12
  3. 2 × 12 = 24 and 2 × 12 = 24
9.Divide $54 in the ratio 2 : 4.

Answer: $18 and $36

  1. Total parts: 2 + 4 = 6
  2. One part: 54 ÷ 6 = 9
  3. 2 × 9 = 18 and 4 × 9 = 36
10.Divide $35 in the ratio 2 : 3.

Answer: $14 and $21

  1. Total parts: 2 + 3 = 5
  2. One part: 35 ÷ 5 = 7
  3. 2 × 7 = 14 and 3 × 7 = 21
11.Divide $54 in the ratio 5 : 1.

Answer: $45 and $9

  1. Total parts: 5 + 1 = 6
  2. One part: 54 ÷ 6 = 9
  3. 5 × 9 = 45 and 1 × 9 = 9
12.Divide $25 in the ratio 4 : 1.

Answer: $20 and $5

  1. Total parts: 4 + 1 = 5
  2. One part: 25 ÷ 5 = 5
  3. 4 × 5 = 20 and 1 × 5 = 5
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