Year 9 Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Year 9 · Mathematics · Ratio & Rates
Year 9 Ratio Worksheet — Level 3 — Answers
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Part A — Simplify
1.Simplify the ratio 20 : 8
Answer: 5 : 2
- HCF of 20 and 8 is 4
- Divide both parts by 4
2.Simplify the ratio 15 : 45
Answer: 1 : 3
- HCF of 15 and 45 is 15
- Divide both parts by 15
3.Simplify the ratio 35 : 45
Answer: 7 : 9
- HCF of 35 and 45 is 5
- Divide both parts by 5
4.Simplify the ratio 36 : 45
Answer: 4 : 5
- HCF of 36 and 45 is 9
- Divide both parts by 9
5.Simplify the ratio 45 : 45
Answer: 1 : 1
- HCF of 45 and 45 is 45
- Divide both parts by 45
6.Simplify the ratio 22 : 55
Answer: 2 : 5
- HCF of 22 and 55 is 11
- Divide both parts by 11
Part B — Divide in a ratio
7.Divide $154 in the ratio 5 : 2.
Answer: $110 and $44
- Total parts: 5 + 2 = 7
- One part: 154 ÷ 7 = 22
- 5 × 22 = 110 and 2 × 22 = 44
8.Divide $130 in the ratio 1 : 4.
Answer: $26 and $104
- Total parts: 1 + 4 = 5
- One part: 130 ÷ 5 = 26
- 1 × 26 = 26 and 4 × 26 = 104
9.Divide $176 in the ratio 5 : 3.
Answer: $110 and $66
- Total parts: 5 + 3 = 8
- One part: 176 ÷ 8 = 22
- 5 × 22 = 110 and 3 × 22 = 66
10.Divide $42 in the ratio 1 : 2.
Answer: $14 and $28
- Total parts: 1 + 2 = 3
- One part: 42 ÷ 3 = 14
- 1 × 14 = 14 and 2 × 14 = 28
11.Divide $272 in the ratio 3 : 5.
Answer: $102 and $170
- Total parts: 3 + 5 = 8
- One part: 272 ÷ 8 = 34
- 3 × 34 = 102 and 5 × 34 = 170
12.Divide $110 in the ratio 3 : 2.
Answer: $66 and $44
- Total parts: 3 + 2 = 5
- One part: 110 ÷ 5 = 22
- 3 × 22 = 66 and 2 × 22 = 44
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.
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