Year 10 Ratio Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 32 : 12
Answer: 8 : 3
- HCF of 32 and 12 is 4
- Divide both parts by 4
2.Simplify the ratio 12 : 36
Answer: 1 : 3
- HCF of 12 and 36 is 12
- Divide both parts by 12
3.Simplify the ratio 24 : 24
Answer: 1 : 1
- HCF of 24 and 24 is 24
- Divide both parts by 24
4.Simplify the ratio 18 : 8
Answer: 9 : 4
- HCF of 18 and 8 is 2
- Divide both parts by 2
5.Simplify the ratio 12 : 21
Answer: 4 : 7
- HCF of 12 and 21 is 3
- Divide both parts by 3
6.Simplify the ratio 4 : 32
Answer: 1 : 8
- HCF of 4 and 32 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $24 in the ratio 2 : 1.
Answer: $16 and $8
- Total parts: 2 + 1 = 3
- One part: 24 ÷ 3 = 8
- 2 × 8 = 16 and 1 × 8 = 8
8.Divide $35 in the ratio 2 : 5.
Answer: $10 and $25
- Total parts: 2 + 5 = 7
- One part: 35 ÷ 7 = 5
- 2 × 5 = 10 and 5 × 5 = 25
9.Divide $12 in the ratio 3 : 3.
Answer: $6 and $6
- Total parts: 3 + 3 = 6
- One part: 12 ÷ 6 = 2
- 3 × 2 = 6 and 3 × 2 = 6
10.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
11.Divide $12 in the ratio 2 : 4.
Answer: $4 and $8
- Total parts: 2 + 4 = 6
- One part: 12 ÷ 6 = 2
- 2 × 2 = 4 and 4 × 2 = 8
12.Divide $72 in the ratio 5 : 3.
Answer: $45 and $27
- Total parts: 5 + 3 = 8
- One part: 72 ÷ 8 = 9
- 5 × 9 = 45 and 3 × 9 = 27
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.