Year 10 Ratio Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 10
Answer: 1 : 5
- HCF of 2 and 10 is 2
- Divide both parts by 2
2.Simplify the ratio 9 : 6
Answer: 3 : 2
- HCF of 9 and 6 is 3
- Divide both parts by 3
3.Simplify the ratio 24 : 16
Answer: 3 : 2
- HCF of 24 and 16 is 8
- Divide both parts by 8
4.Simplify the ratio 60 : 80
Answer: 3 : 4
- HCF of 60 and 80 is 20
- Divide both parts by 20
5.Simplify the ratio 24 : 28
Answer: 6 : 7
- HCF of 24 and 28 is 4
- Divide both parts by 4
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 $48 in the ratio 2 : 4.
Answer: $16 and $32
- Total parts: 2 + 4 = 6
- One part: 48 ÷ 6 = 8
- 2 × 8 = 16 and 4 × 8 = 32
8.Divide $24 in the ratio 2 : 2.
Answer: $12 and $12
- Total parts: 2 + 2 = 4
- One part: 24 ÷ 4 = 6
- 2 × 6 = 12 and 2 × 6 = 12
9.Divide $20 in the ratio 3 : 2.
Answer: $12 and $8
- Total parts: 3 + 2 = 5
- One part: 20 ÷ 5 = 4
- 3 × 4 = 12 and 2 × 4 = 8
10.Divide $60 in the ratio 4 : 1.
Answer: $48 and $12
- Total parts: 4 + 1 = 5
- One part: 60 ÷ 5 = 12
- 4 × 12 = 48 and 1 × 12 = 12
11.Divide $90 in the ratio 4 : 5.
Answer: $40 and $50
- Total parts: 4 + 5 = 9
- One part: 90 ÷ 9 = 10
- 4 × 10 = 40 and 5 × 10 = 50
12.Divide $12 in the ratio 3 : 1.
Answer: $9 and $3
- Total parts: 3 + 1 = 4
- One part: 12 ÷ 4 = 3
- 3 × 3 = 9 and 1 × 3 = 3
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.