Year 7 Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & RatesYear 7 Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 42
Answer: 4 : 7
- HCF of 24 and 42 is 6
- Divide both parts by 6
2.Simplify the ratio 12 : 9
Answer: 4 : 3
- HCF of 12 and 9 is 3
- Divide both parts by 3
3.Simplify the ratio 72 : 8
Answer: 9 : 1
- HCF of 72 and 8 is 8
- Divide both parts by 8
4.Simplify the ratio 32 : 8
Answer: 4 : 1
- HCF of 32 and 8 is 8
- Divide both parts by 8
5.Simplify the ratio 6 : 8
Answer: 3 : 4
- HCF of 6 and 8 is 2
- Divide both parts by 2
6.Simplify the ratio 54 : 24
Answer: 9 : 4
- HCF of 54 and 24 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $6 in the ratio 2 : 1.
Answer: $4 and $2
- Total parts: 2 + 1 = 3
- One part: 6 ÷ 3 = 2
- 2 × 2 = 4 and 1 × 2 = 2
8.Divide $18 in the ratio 2 : 1.
Answer: $12 and $6
- Total parts: 2 + 1 = 3
- One part: 18 ÷ 3 = 6
- 2 × 6 = 12 and 1 × 6 = 6
9.Divide $27 in the ratio 4 : 5.
Answer: $12 and $15
- Total parts: 4 + 5 = 9
- One part: 27 ÷ 9 = 3
- 4 × 3 = 12 and 5 × 3 = 15
10.Divide $18 in the ratio 3 : 3.
Answer: $9 and $9
- Total parts: 3 + 3 = 6
- One part: 18 ÷ 6 = 3
- 3 × 3 = 9 and 3 × 3 = 9
11.Divide $20 in the ratio 1 : 1.
Answer: $10 and $10
- Total parts: 1 + 1 = 2
- One part: 20 ÷ 2 = 10
- 1 × 10 = 10 and 1 × 10 = 10
12.Divide $60 in the ratio 3 : 2.
Answer: $36 and $24
- Total parts: 3 + 2 = 5
- One part: 60 ÷ 5 = 12
- 3 × 12 = 36 and 2 × 12 = 24
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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