Year 9 Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Year 9 · Mathematics · Ratio & Rates
Year 9 Ratio Worksheet — Level 2 — Answers
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Part A — Simplify
1.Simplify the ratio 45 : 36
Answer: 5 : 4
- HCF of 45 and 36 is 9
- Divide both parts by 9
2.Simplify the ratio 12 : 14
Answer: 6 : 7
- HCF of 12 and 14 is 2
- Divide both parts by 2
3.Simplify the ratio 40 : 32
Answer: 5 : 4
- HCF of 40 and 32 is 8
- Divide both parts by 8
4.Simplify the ratio 24 : 56
Answer: 3 : 7
- HCF of 24 and 56 is 8
- Divide both parts by 8
5.Simplify the ratio 24 : 72
Answer: 1 : 3
- HCF of 24 and 72 is 24
- Divide both parts by 24
6.Simplify the ratio 4 : 6
Answer: 2 : 3
- HCF of 4 and 6 is 2
- Divide both parts by 2
Part B — Divide in a ratio
7.Divide $25 in the ratio 4 : 1.
Answer: $20 and $5
- Total parts: 4 + 1 = 5
- One part: 25 ÷ 5 = 5
- 4 × 5 = 20 and 1 × 5 = 5
8.Divide $80 in the ratio 5 : 3.
Answer: $50 and $30
- Total parts: 5 + 3 = 8
- One part: 80 ÷ 8 = 10
- 5 × 10 = 50 and 3 × 10 = 30
9.Divide $50 in the ratio 2 : 3.
Answer: $20 and $30
- Total parts: 2 + 3 = 5
- One part: 50 ÷ 5 = 10
- 2 × 10 = 20 and 3 × 10 = 30
10.Divide $20 in the ratio 4 : 1.
Answer: $16 and $4
- Total parts: 4 + 1 = 5
- One part: 20 ÷ 5 = 4
- 4 × 4 = 16 and 1 × 4 = 4
11.Divide $30 in the ratio 1 : 2.
Answer: $10 and $20
- Total parts: 1 + 2 = 3
- One part: 30 ÷ 3 = 10
- 1 × 10 = 10 and 2 × 10 = 20
12.Divide $48 in the ratio 5 : 3.
Answer: $30 and $18
- Total parts: 5 + 3 = 8
- One part: 48 ÷ 8 = 6
- 5 × 6 = 30 and 3 × 6 = 18
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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