8th Grade Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 8th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Ratio & Rates8th Grade Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 60 : 48
Answer: 5 : 4
- HCF of 60 and 48 is 12
- Divide both parts by 12
2.Simplify the ratio 40 : 30
Answer: 4 : 3
- HCF of 40 and 30 is 10
- Divide both parts by 10
3.Simplify the ratio 56 : 16
Answer: 7 : 2
- HCF of 56 and 16 is 8
- Divide both parts by 8
4.Simplify the ratio 6 : 24
Answer: 1 : 4
- HCF of 6 and 24 is 6
- Divide both parts by 6
5.Simplify the ratio 80 : 60
Answer: 4 : 3
- HCF of 80 and 60 is 20
- Divide both parts by 20
6.Simplify the ratio 28 : 63
Answer: 4 : 9
- HCF of 28 and 63 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $21 in the ratio 4 : 3.
Answer: $12 and $9
- Total parts: 4 + 3 = 7
- One part: 21 ÷ 7 = 3
- 4 × 3 = 12 and 3 × 3 = 9
8.Divide $49 in the ratio 4 : 3.
Answer: $28 and $21
- Total parts: 4 + 3 = 7
- One part: 49 ÷ 7 = 7
- 4 × 7 = 28 and 3 × 7 = 21
9.Divide $18 in the ratio 5 : 4.
Answer: $10 and $8
- Total parts: 5 + 4 = 9
- One part: 18 ÷ 9 = 2
- 5 × 2 = 10 and 4 × 2 = 8
10.Divide $33 in the ratio 1 : 2.
Answer: $11 and $22
- Total parts: 1 + 2 = 3
- One part: 33 ÷ 3 = 11
- 1 × 11 = 11 and 2 × 11 = 22
11.Divide $28 in the ratio 3 : 1.
Answer: $21 and $7
- Total parts: 3 + 1 = 4
- One part: 28 ÷ 4 = 7
- 3 × 7 = 21 and 1 × 7 = 7
12.Divide $42 in the ratio 2 : 5.
Answer: $12 and $30
- Total parts: 2 + 5 = 7
- One part: 42 ÷ 7 = 6
- 2 × 6 = 12 and 5 × 6 = 30
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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