Year 9 Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 60 : 90
Answer: 2 : 3
- HCF of 60 and 90 is 30
- Divide both parts by 30
2.Simplify the ratio 54 : 36
Answer: 3 : 2
- HCF of 54 and 36 is 18
- Divide both parts by 18
3.Simplify the ratio 36 : 54
Answer: 2 : 3
- HCF of 36 and 54 is 18
- Divide both parts by 18
4.Simplify the ratio 15 : 6
Answer: 5 : 2
- HCF of 15 and 6 is 3
- Divide both parts by 3
5.Simplify the ratio 27 : 9
Answer: 3 : 1
- HCF of 27 and 9 is 9
- Divide both parts by 9
6.Simplify the ratio 40 : 40
Answer: 1 : 1
- HCF of 40 and 40 is 40
- Divide both parts by 40
Part B: Divide in a ratio
7.Divide $16 in the ratio 4 : 4.
Answer: $8 and $8
- Total parts: 4 + 4 = 8
- One part: 16 ÷ 8 = 2
- 4 × 2 = 8 and 4 × 2 = 8
8.Divide $28 in the ratio 5 : 2.
Answer: $20 and $8
- Total parts: 5 + 2 = 7
- One part: 28 ÷ 7 = 4
- 5 × 4 = 20 and 2 × 4 = 8
9.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
10.Divide $66 in the ratio 3 : 3.
Answer: $33 and $33
- Total parts: 3 + 3 = 6
- One part: 66 ÷ 6 = 11
- 3 × 11 = 33 and 3 × 11 = 33
11.Divide $45 in the ratio 4 : 5.
Answer: $20 and $25
- Total parts: 4 + 5 = 9
- One part: 45 ÷ 9 = 5
- 4 × 5 = 20 and 5 × 5 = 25
12.Divide $16 in the ratio 3 : 1.
Answer: $12 and $4
- Total parts: 3 + 1 = 4
- One part: 16 ÷ 4 = 4
- 3 × 4 = 12 and 1 × 4 = 4
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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