Year 10 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Ratio & RatesYear 10 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 32 : 56
Answer: 4 : 7
- HCF of 32 and 56 is 8
- Divide both parts by 8
2.Simplify the ratio 35 : 63
Answer: 5 : 9
- HCF of 35 and 63 is 7
- Divide both parts by 7
3.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
4.Simplify the ratio 42 : 63
Answer: 2 : 3
- HCF of 42 and 63 is 21
- Divide both parts by 21
5.Simplify the ratio 12 : 12
Answer: 1 : 1
- HCF of 12 and 12 is 12
- Divide both parts by 12
6.Simplify the ratio 12 : 6
Answer: 2 : 1
- HCF of 12 and 6 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $16 in the ratio 1 : 3.
Answer: $4 and $12
- Total parts: 1 + 3 = 4
- One part: 16 ÷ 4 = 4
- 1 × 4 = 4 and 3 × 4 = 12
8.Divide $27 in the ratio 5 : 4.
Answer: $15 and $12
- Total parts: 5 + 4 = 9
- One part: 27 ÷ 9 = 3
- 5 × 3 = 15 and 4 × 3 = 12
9.Divide $120 in the ratio 5 : 5.
Answer: $60 and $60
- Total parts: 5 + 5 = 10
- One part: 120 ÷ 10 = 12
- 5 × 12 = 60 and 5 × 12 = 60
10.Divide $56 in the ratio 2 : 5.
Answer: $16 and $40
- Total parts: 2 + 5 = 7
- One part: 56 ÷ 7 = 8
- 2 × 8 = 16 and 5 × 8 = 40
11.Divide $84 in the ratio 3 : 4.
Answer: $36 and $48
- Total parts: 3 + 4 = 7
- One part: 84 ÷ 7 = 12
- 3 × 12 = 36 and 4 × 12 = 48
12.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
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.