Year 10 Ratio Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 36
Answer: 4 : 3
- HCF of 48 and 36 is 12
- Divide both parts by 12
2.Simplify the ratio 9 : 3
Answer: 3 : 1
- HCF of 9 and 3 is 3
- Divide both parts by 3
3.Simplify the ratio 24 : 32
Answer: 3 : 4
- HCF of 24 and 32 is 8
- Divide both parts by 8
4.Simplify the ratio 36 : 36
Answer: 1 : 1
- HCF of 36 and 36 is 36
- Divide both parts by 36
5.Simplify the ratio 32 : 72
Answer: 4 : 9
- HCF of 32 and 72 is 8
- Divide both parts by 8
6.Simplify the ratio 36 : 45
Answer: 4 : 5
- HCF of 36 and 45 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $72 in the ratio 1 : 5.
Answer: $12 and $60
- Total parts: 1 + 5 = 6
- One part: 72 ÷ 6 = 12
- 1 × 12 = 12 and 5 × 12 = 60
8.Divide $35 in the ratio 3 : 4.
Answer: $15 and $20
- Total parts: 3 + 4 = 7
- One part: 35 ÷ 7 = 5
- 3 × 5 = 15 and 4 × 5 = 20
9.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
10.Divide $35 in the ratio 4 : 1.
Answer: $28 and $7
- Total parts: 4 + 1 = 5
- One part: 35 ÷ 5 = 7
- 4 × 7 = 28 and 1 × 7 = 7
11.Divide $60 in the ratio 1 : 4.
Answer: $12 and $48
- Total parts: 1 + 4 = 5
- One part: 60 ÷ 5 = 12
- 1 × 12 = 12 and 4 × 12 = 48
12.Divide $21 in the ratio 1 : 2.
Answer: $7 and $14
- Total parts: 1 + 2 = 3
- One part: 21 ÷ 3 = 7
- 1 × 7 = 7 and 2 × 7 = 14
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.