Year 10 Ratio Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 28
Answer: 6 : 7
- HCF of 24 and 28 is 4
- Divide both parts by 4
2.Simplify the ratio 27 : 9
Answer: 3 : 1
- HCF of 27 and 9 is 9
- Divide both parts by 9
3.Simplify the ratio 8 : 20
Answer: 2 : 5
- HCF of 8 and 20 is 4
- Divide both parts by 4
4.Simplify the ratio 27 : 3
Answer: 9 : 1
- HCF of 27 and 3 is 3
- Divide both parts by 3
5.Simplify the ratio 6 : 27
Answer: 2 : 9
- HCF of 6 and 27 is 3
- Divide both parts by 3
6.Simplify the ratio 12 : 9
Answer: 4 : 3
- HCF of 12 and 9 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $12 in the ratio 5 : 1.
Answer: $10 and $2
- Total parts: 5 + 1 = 6
- One part: 12 ÷ 6 = 2
- 5 × 2 = 10 and 1 × 2 = 2
8.Divide $108 in the ratio 4 : 5.
Answer: $48 and $60
- Total parts: 4 + 5 = 9
- One part: 108 ÷ 9 = 12
- 4 × 12 = 48 and 5 × 12 = 60
9.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
10.Divide $40 in the ratio 5 : 3.
Answer: $25 and $15
- Total parts: 5 + 3 = 8
- One part: 40 ÷ 8 = 5
- 5 × 5 = 25 and 3 × 5 = 15
11.Divide $36 in the ratio 2 : 2.
Answer: $18 and $18
- Total parts: 2 + 2 = 4
- One part: 36 ÷ 4 = 9
- 2 × 9 = 18 and 2 × 9 = 18
12.Divide $28 in the ratio 1 : 3.
Answer: $7 and $21
- Total parts: 1 + 3 = 4
- One part: 28 ÷ 4 = 7
- 1 × 7 = 7 and 3 × 7 = 21
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.