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7th Grade Ratio Worksheet — Level 3 — 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 3 — Answers

Part A: Simplify

1.Simplify the ratio 63 : 18

Answer: 7 : 2

  1. HCF of 63 and 18 is 9
  2. Divide both parts by 9
2.Simplify the ratio 84 : 108

Answer: 7 : 9

  1. HCF of 84 and 108 is 12
  2. Divide both parts by 12
3.Simplify the ratio 40 : 15

Answer: 8 : 3

  1. HCF of 40 and 15 is 5
  2. Divide both parts by 5
4.Simplify the ratio 32 : 16

Answer: 2 : 1

  1. HCF of 32 and 16 is 16
  2. Divide both parts by 16
5.Simplify the ratio 90 : 80

Answer: 9 : 8

  1. HCF of 90 and 80 is 10
  2. Divide both parts by 10
6.Simplify the ratio 50 : 50

Answer: 1 : 1

  1. HCF of 50 and 50 is 50
  2. Divide both parts by 50

Part B: Divide in a ratio

7.Divide $20 in the ratio 1 : 3.

Answer: $5 and $15

  1. Total parts: 1 + 3 = 4
  2. One part: 20 ÷ 4 = 5
  3. 1 × 5 = 5 and 3 × 5 = 15
8.Divide $126 in the ratio 5 : 1.

Answer: $105 and $21

  1. Total parts: 5 + 1 = 6
  2. One part: 126 ÷ 6 = 21
  3. 5 × 21 = 105 and 1 × 21 = 21
9.Divide $150 in the ratio 5 : 1.

Answer: $125 and $25

  1. Total parts: 5 + 1 = 6
  2. One part: 150 ÷ 6 = 25
  3. 5 × 25 = 125 and 1 × 25 = 25
10.Divide $50 in the ratio 1 : 4.

Answer: $10 and $40

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

Answer: $75 and $15

  1. Total parts: 5 + 1 = 6
  2. One part: 90 ÷ 6 = 15
  3. 5 × 15 = 75 and 1 × 15 = 15
12.Divide $108 in the ratio 4 : 2.

Answer: $72 and $36

  1. Total parts: 4 + 2 = 6
  2. One part: 108 ÷ 6 = 18
  3. 4 × 18 = 72 and 2 × 18 = 36
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