7th Grade Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Ratio & Rates7th Grade Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 36 : 28
Answer: 9 : 7
- HCF of 36 and 28 is 4
- Divide both parts by 4
2.Simplify the ratio 70 : 60
Answer: 7 : 6
- HCF of 70 and 60 is 10
- Divide both parts by 10
3.Simplify the ratio 56 : 56
Answer: 1 : 1
- HCF of 56 and 56 is 56
- Divide both parts by 56
4.Simplify the ratio 40 : 90
Answer: 4 : 9
- HCF of 40 and 90 is 10
- Divide both parts by 10
5.Simplify the ratio 20 : 90
Answer: 2 : 9
- HCF of 20 and 90 is 10
- Divide both parts by 10
6.Simplify the ratio 10 : 2
Answer: 5 : 1
- HCF of 10 and 2 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $40 in the ratio 1 : 3.
Answer: $10 and $30
- Total parts: 1 + 3 = 4
- One part: 40 ÷ 4 = 10
- 1 × 10 = 10 and 3 × 10 = 30
8.Divide $48 in the ratio 2 : 4.
Answer: $16 and $32
- Total parts: 2 + 4 = 6
- One part: 48 ÷ 6 = 8
- 2 × 8 = 16 and 4 × 8 = 32
9.Divide $20 in the ratio 2 : 2.
Answer: $10 and $10
- Total parts: 2 + 2 = 4
- One part: 20 ÷ 4 = 5
- 2 × 5 = 10 and 2 × 5 = 10
10.Divide $72 in the ratio 1 : 5.
Answer: $12 and $60
- Total parts: 1 + 5 = 6
- One part: 72 ÷ 6 = 12
- 1 × 12 = 12 and 5 × 12 = 60
11.Divide $100 in the ratio 5 : 5.
Answer: $50 and $50
- Total parts: 5 + 5 = 10
- One part: 100 ÷ 10 = 10
- 5 × 10 = 50 and 5 × 10 = 50
12.Divide $42 in the ratio 4 : 2.
Answer: $28 and $14
- Total parts: 4 + 2 = 6
- One part: 42 ÷ 6 = 7
- 4 × 7 = 28 and 2 × 7 = 14
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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