8th Grade Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 8th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Ratio & Rates8th Grade Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 44 : 11
Answer: 4 : 1
- HCF of 44 and 11 is 11
- Divide both parts by 11
2.Simplify the ratio 28 : 24
Answer: 7 : 6
- HCF of 28 and 24 is 4
- Divide both parts by 4
3.Simplify the ratio 96 : 108
Answer: 8 : 9
- HCF of 96 and 108 is 12
- Divide both parts by 12
4.Simplify the ratio 5 : 40
Answer: 1 : 8
- HCF of 5 and 40 is 5
- Divide both parts by 5
5.Simplify the ratio 54 : 54
Answer: 1 : 1
- HCF of 54 and 54 is 54
- Divide both parts by 54
6.Simplify the ratio 64 : 48
Answer: 4 : 3
- HCF of 64 and 48 is 16
- Divide both parts by 16
Part B: Divide in a ratio
7.Divide $272 in the ratio 4 : 4.
Answer: $136 and $136
- Total parts: 4 + 4 = 8
- One part: 272 ÷ 8 = 34
- 4 × 34 = 136 and 4 × 34 = 136
8.Divide $9 in the ratio 2 : 1.
Answer: $6 and $3
- Total parts: 2 + 1 = 3
- One part: 9 ÷ 3 = 3
- 2 × 3 = 6 and 1 × 3 = 3
9.Divide $72 in the ratio 5 : 1.
Answer: $60 and $12
- Total parts: 5 + 1 = 6
- One part: 72 ÷ 6 = 12
- 5 × 12 = 60 and 1 × 12 = 12
10.Divide $138 in the ratio 2 : 4.
Answer: $46 and $92
- Total parts: 2 + 4 = 6
- One part: 138 ÷ 6 = 23
- 2 × 23 = 46 and 4 × 23 = 92
11.Divide $60 in the ratio 5 : 1.
Answer: $50 and $10
- Total parts: 5 + 1 = 6
- One part: 60 ÷ 6 = 10
- 5 × 10 = 50 and 1 × 10 = 10
12.Divide $42 in the ratio 5 : 2.
Answer: $30 and $12
- Total parts: 5 + 2 = 7
- One part: 42 ÷ 7 = 6
- 5 × 6 = 30 and 2 × 6 = 12
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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