Year 10 Ratio Worksheet — Level 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 — Answers
Part A: Simplify
1.Simplify the ratio 27 : 54
Answer: 1 : 2
- HCF of 27 and 54 is 27
- Divide both parts by 27
2.Simplify the ratio 8 : 14
Answer: 4 : 7
- HCF of 8 and 14 is 2
- Divide both parts by 2
3.Simplify the ratio 12 : 48
Answer: 1 : 4
- HCF of 12 and 48 is 12
- Divide both parts by 12
4.Simplify the ratio 20 : 10
Answer: 2 : 1
- HCF of 20 and 10 is 10
- Divide both parts by 10
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 96 : 36
Answer: 8 : 3
- HCF of 96 and 36 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.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
8.Divide $48 in the ratio 1 : 3.
Answer: $12 and $36
- Total parts: 1 + 3 = 4
- One part: 48 ÷ 4 = 12
- 1 × 12 = 12 and 3 × 12 = 36
9.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
10.Divide $54 in the ratio 4 : 2.
Answer: $36 and $18
- Total parts: 4 + 2 = 6
- One part: 54 ÷ 6 = 9
- 4 × 9 = 36 and 2 × 9 = 18
11.Divide $33 in the ratio 1 : 2.
Answer: $11 and $22
- Total parts: 1 + 2 = 3
- One part: 33 ÷ 3 = 11
- 1 × 11 = 11 and 2 × 11 = 22
12.Divide $6 in the ratio 2 : 1.
Answer: $4 and $2
- Total parts: 2 + 1 = 3
- One part: 6 ÷ 3 = 2
- 2 × 2 = 4 and 1 × 2 = 2
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.
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