Year 7 Ratio Worksheet — Level 3 — 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 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 49 : 28
Answer: 7 : 4
- HCF of 49 and 28 is 7
- Divide both parts by 7
2.Simplify the ratio 6 : 6
Answer: 1 : 1
- HCF of 6 and 6 is 6
- Divide both parts by 6
3.Simplify the ratio 6 : 10
Answer: 3 : 5
- HCF of 6 and 10 is 2
- Divide both parts by 2
4.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
5.Simplify the ratio 42 : 30
Answer: 7 : 5
- HCF of 42 and 30 is 6
- Divide both parts by 6
6.Simplify the ratio 10 : 14
Answer: 5 : 7
- HCF of 10 and 14 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $87 in the ratio 1 : 2.
Answer: $29 and $58
- Total parts: 1 + 2 = 3
- One part: 87 ÷ 3 = 29
- 1 × 29 = 29 and 2 × 29 = 58
8.Divide $55 in the ratio 2 : 3.
Answer: $22 and $33
- Total parts: 2 + 3 = 5
- One part: 55 ÷ 5 = 11
- 2 × 11 = 22 and 3 × 11 = 33
9.Divide $168 in the ratio 5 : 2.
Answer: $120 and $48
- Total parts: 5 + 2 = 7
- One part: 168 ÷ 7 = 24
- 5 × 24 = 120 and 2 × 24 = 48
10.Divide $140 in the ratio 3 : 2.
Answer: $84 and $56
- Total parts: 3 + 2 = 5
- One part: 140 ÷ 5 = 28
- 3 × 28 = 84 and 2 × 28 = 56
11.Divide $10 in the ratio 1 : 1.
Answer: $5 and $5
- Total parts: 1 + 1 = 2
- One part: 10 ÷ 2 = 5
- 1 × 5 = 5 and 1 × 5 = 5
12.Divide $63 in the ratio 1 : 2.
Answer: $21 and $42
- Total parts: 1 + 2 = 3
- One part: 63 ÷ 3 = 21
- 1 × 21 = 21 and 2 × 21 = 42
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.