Year 7 Ratio Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 16 : 28
Answer: 4 : 7
- HCF of 16 and 28 is 4
- Divide both parts by 4
2.Simplify the ratio 36 : 32
Answer: 9 : 8
- HCF of 36 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 50 : 40
Answer: 5 : 4
- HCF of 50 and 40 is 10
- Divide both parts by 10
4.Simplify the ratio 48 : 6
Answer: 8 : 1
- HCF of 48 and 6 is 6
- Divide both parts by 6
5.Simplify the ratio 64 : 8
Answer: 8 : 1
- HCF of 64 and 8 is 8
- Divide both parts by 8
6.Simplify the ratio 42 : 30
Answer: 7 : 5
- HCF of 42 and 30 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $48 in the ratio 3 : 3.
Answer: $24 and $24
- Total parts: 3 + 3 = 6
- One part: 48 ÷ 6 = 8
- 3 × 8 = 24 and 3 × 8 = 24
8.Divide $64 in the ratio 5 : 3.
Answer: $40 and $24
- Total parts: 5 + 3 = 8
- One part: 64 ÷ 8 = 8
- 5 × 8 = 40 and 3 × 8 = 24
9.Divide $10 in the ratio 1 : 4.
Answer: $2 and $8
- Total parts: 1 + 4 = 5
- One part: 10 ÷ 5 = 2
- 1 × 2 = 2 and 4 × 2 = 8
10.Divide $8 in the ratio 1 : 1.
Answer: $4 and $4
- Total parts: 1 + 1 = 2
- One part: 8 ÷ 2 = 4
- 1 × 4 = 4 and 1 × 4 = 4
11.Divide $24 in the ratio 1 : 1.
Answer: $12 and $12
- Total parts: 1 + 1 = 2
- One part: 24 ÷ 2 = 12
- 1 × 12 = 12 and 1 × 12 = 12
12.Divide $48 in the ratio 3 : 1.
Answer: $36 and $12
- Total parts: 3 + 1 = 4
- One part: 48 ÷ 4 = 12
- 3 × 12 = 36 and 1 × 12 = 12
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.