Year 9 Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 66 : 99
Answer: 2 : 3
- HCF of 66 and 99 is 33
- Divide both parts by 33
2.Simplify the ratio 20 : 90
Answer: 2 : 9
- HCF of 20 and 90 is 10
- Divide both parts by 10
3.Simplify the ratio 27 : 27
Answer: 1 : 1
- HCF of 27 and 27 is 27
- Divide both parts by 27
4.Simplify the ratio 6 : 2
Answer: 3 : 1
- HCF of 6 and 2 is 2
- Divide both parts by 2
5.Simplify the ratio 3 : 21
Answer: 1 : 7
- HCF of 3 and 21 is 3
- Divide both parts by 3
6.Simplify the ratio 84 : 108
Answer: 7 : 9
- HCF of 84 and 108 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $217 in the ratio 4 : 3.
Answer: $124 and $93
- Total parts: 4 + 3 = 7
- One part: 217 ÷ 7 = 31
- 4 × 31 = 124 and 3 × 31 = 93
8.Divide $32 in the ratio 3 : 5.
Answer: $12 and $20
- Total parts: 3 + 5 = 8
- One part: 32 ÷ 8 = 4
- 3 × 4 = 12 and 5 × 4 = 20
9.Divide $140 in the ratio 5 : 5.
Answer: $70 and $70
- Total parts: 5 + 5 = 10
- One part: 140 ÷ 10 = 14
- 5 × 14 = 70 and 5 × 14 = 70
10.Divide $256 in the ratio 3 : 5.
Answer: $96 and $160
- Total parts: 3 + 5 = 8
- One part: 256 ÷ 8 = 32
- 3 × 32 = 96 and 5 × 32 = 160
11.Divide $36 in the ratio 1 : 3.
Answer: $9 and $27
- Total parts: 1 + 3 = 4
- One part: 36 ÷ 4 = 9
- 1 × 9 = 9 and 3 × 9 = 27
12.Divide $20 in the ratio 1 : 3.
Answer: $5 and $15
- Total parts: 1 + 3 = 4
- One part: 20 ÷ 4 = 5
- 1 × 5 = 5 and 3 × 5 = 15
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.