Year 9 Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 1 — Answers
Part A: Simplify
1.Simplify the ratio 8 : 6
Answer: 4 : 3
- HCF of 8 and 6 is 2
- Divide both parts by 2
2.Simplify the ratio 21 : 27
Answer: 7 : 9
- HCF of 21 and 27 is 3
- Divide both parts by 3
3.Simplify the ratio 24 : 24
Answer: 1 : 1
- HCF of 24 and 24 is 24
- Divide both parts by 24
4.Simplify the ratio 18 : 9
Answer: 2 : 1
- HCF of 18 and 9 is 9
- Divide both parts by 9
5.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
6.Simplify the ratio 9 : 18
Answer: 1 : 2
- HCF of 9 and 18 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $22 in the ratio 1 : 1.
Answer: $11 and $11
- Total parts: 1 + 1 = 2
- One part: 22 ÷ 2 = 11
- 1 × 11 = 11 and 1 × 11 = 11
8.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
9.Divide $66 in the ratio 4 : 2.
Answer: $44 and $22
- Total parts: 4 + 2 = 6
- One part: 66 ÷ 6 = 11
- 4 × 11 = 44 and 2 × 11 = 22
10.Divide $20 in the ratio 5 : 5.
Answer: $10 and $10
- Total parts: 5 + 5 = 10
- One part: 20 ÷ 10 = 2
- 5 × 2 = 10 and 5 × 2 = 10
11.Divide $44 in the ratio 1 : 3.
Answer: $11 and $33
- Total parts: 1 + 3 = 4
- One part: 44 ÷ 4 = 11
- 1 × 11 = 11 and 3 × 11 = 33
12.Divide $12 in the ratio 1 : 5.
Answer: $2 and $10
- Total parts: 1 + 5 = 6
- One part: 12 ÷ 6 = 2
- 1 × 2 = 2 and 5 × 2 = 10
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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