Year 7 Ratio Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 70 : 70
Answer: 1 : 1
- HCF of 70 and 70 is 70
- Divide both parts by 70
2.Simplify the ratio 16 : 40
Answer: 2 : 5
- HCF of 16 and 40 is 8
- Divide both parts by 8
3.Simplify the ratio 55 : 66
Answer: 5 : 6
- HCF of 55 and 66 is 11
- Divide both parts by 11
4.Simplify the ratio 11 : 99
Answer: 1 : 9
- HCF of 11 and 99 is 11
- Divide both parts by 11
5.Simplify the ratio 88 : 99
Answer: 8 : 9
- HCF of 88 and 99 is 11
- Divide both parts by 11
6.Simplify the ratio 15 : 25
Answer: 3 : 5
- HCF of 15 and 25 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $84 in the ratio 2 : 5.
Answer: $24 and $60
- Total parts: 2 + 5 = 7
- One part: 84 ÷ 7 = 12
- 2 × 12 = 24 and 5 × 12 = 60
8.Divide $30 in the ratio 2 : 3.
Answer: $12 and $18
- Total parts: 2 + 3 = 5
- One part: 30 ÷ 5 = 6
- 2 × 6 = 12 and 3 × 6 = 18
9.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
10.Divide $20 in the ratio 1 : 3.
Answer: $5 and $15
- Total parts: 1 + 3 = 4
- One part: 20 ÷ 4 = 5
- 1 × 5 = 5 and 3 × 5 = 15
11.Divide $48 in the ratio 4 : 4.
Answer: $24 and $24
- Total parts: 4 + 4 = 8
- One part: 48 ÷ 8 = 6
- 4 × 6 = 24 and 4 × 6 = 24
12.Divide $48 in the ratio 3 : 5.
Answer: $18 and $30
- Total parts: 3 + 5 = 8
- One part: 48 ÷ 8 = 6
- 3 × 6 = 18 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.
- Celebrate what went well first, then pick one thing to work on next.