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 81 : 72
Answer: 9 : 8
- HCF of 81 and 72 is 9
- Divide both parts by 9
2.Simplify the ratio 10 : 40
Answer: 1 : 4
- HCF of 10 and 40 is 10
- Divide both parts by 10
3.Simplify the ratio 33 : 99
Answer: 1 : 3
- HCF of 33 and 99 is 33
- Divide both parts by 33
4.Simplify the ratio 35 : 20
Answer: 7 : 4
- HCF of 35 and 20 is 5
- Divide both parts by 5
5.Simplify the ratio 32 : 40
Answer: 4 : 5
- HCF of 32 and 40 is 8
- Divide both parts by 8
6.Simplify the ratio 18 : 14
Answer: 9 : 7
- HCF of 18 and 14 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $60 in the ratio 5 : 1.
Answer: $50 and $10
- Total parts: 5 + 1 = 6
- One part: 60 ÷ 6 = 10
- 5 × 10 = 50 and 1 × 10 = 10
8.Divide $200 in the ratio 4 : 1.
Answer: $160 and $40
- Total parts: 4 + 1 = 5
- One part: 200 ÷ 5 = 40
- 4 × 40 = 160 and 1 × 40 = 40
9.Divide $266 in the ratio 5 : 2.
Answer: $190 and $76
- Total parts: 5 + 2 = 7
- One part: 266 ÷ 7 = 38
- 5 × 38 = 190 and 2 × 38 = 76
10.Divide $238 in the ratio 2 : 5.
Answer: $68 and $170
- Total parts: 2 + 5 = 7
- One part: 238 ÷ 7 = 34
- 2 × 34 = 68 and 5 × 34 = 170
11.Divide $306 in the ratio 4 : 5.
Answer: $136 and $170
- Total parts: 4 + 5 = 9
- One part: 306 ÷ 9 = 34
- 4 × 34 = 136 and 5 × 34 = 170
12.Divide $128 in the ratio 1 : 3.
Answer: $32 and $96
- Total parts: 1 + 3 = 4
- One part: 128 ÷ 4 = 32
- 1 × 32 = 32 and 3 × 32 = 96
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.