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 64 : 40
Answer: 8 : 5
- HCF of 64 and 40 is 8
- Divide both parts by 8
2.Simplify the ratio 64 : 24
Answer: 8 : 3
- HCF of 64 and 24 is 8
- Divide both parts by 8
3.Simplify the ratio 18 : 63
Answer: 2 : 7
- HCF of 18 and 63 is 9
- Divide both parts by 9
4.Simplify the ratio 72 : 96
Answer: 3 : 4
- HCF of 72 and 96 is 24
- Divide both parts by 24
5.Simplify the ratio 16 : 64
Answer: 1 : 4
- HCF of 16 and 64 is 16
- Divide both parts by 16
6.Simplify the ratio 8 : 64
Answer: 1 : 8
- HCF of 8 and 64 is 8
- Divide both parts by 8
Part B: Divide in a ratio
7.Divide $30 in the ratio 1 : 2.
Answer: $10 and $20
- Total parts: 1 + 2 = 3
- One part: 30 ÷ 3 = 10
- 1 × 10 = 10 and 2 × 10 = 20
8.Divide $36 in the ratio 1 : 2.
Answer: $12 and $24
- Total parts: 1 + 2 = 3
- One part: 36 ÷ 3 = 12
- 1 × 12 = 12 and 2 × 12 = 24
9.Divide $24 in the ratio 2 : 4.
Answer: $8 and $16
- Total parts: 2 + 4 = 6
- One part: 24 ÷ 6 = 4
- 2 × 4 = 8 and 4 × 4 = 16
10.Divide $72 in the ratio 4 : 5.
Answer: $32 and $40
- Total parts: 4 + 5 = 9
- One part: 72 ÷ 9 = 8
- 4 × 8 = 32 and 5 × 8 = 40
11.Divide $50 in the ratio 1 : 4.
Answer: $10 and $40
- Total parts: 1 + 4 = 5
- One part: 50 ÷ 5 = 10
- 1 × 10 = 10 and 4 × 10 = 40
12.Divide $22 in the ratio 1 : 1.
Answer: $11 and $11
- Total parts: 1 + 1 = 2
- One part: 22 ÷ 2 = 11
- 1 × 11 = 11 and 1 × 11 = 11
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.
- Celebrate what went well first, then pick one thing to work on next.