Year 9 Ratio Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 72 : 45
Answer: 8 : 5
- HCF of 72 and 45 is 9
- Divide both parts by 9
2.Simplify the ratio 63 : 81
Answer: 7 : 9
- HCF of 63 and 81 is 9
- Divide both parts by 9
3.Simplify the ratio 54 : 54
Answer: 1 : 1
- HCF of 54 and 54 is 54
- Divide both parts by 54
4.Simplify the ratio 18 : 10
Answer: 9 : 5
- HCF of 18 and 10 is 2
- Divide both parts by 2
5.Simplify the ratio 24 : 16
Answer: 3 : 2
- HCF of 24 and 16 is 8
- Divide both parts by 8
6.Simplify the ratio 35 : 35
Answer: 1 : 1
- HCF of 35 and 35 is 35
- Divide both parts by 35
Part B: Divide in a ratio
7.Divide $145 in the ratio 2 : 3.
Answer: $58 and $87
- Total parts: 2 + 3 = 5
- One part: 145 ÷ 5 = 29
- 2 × 29 = 58 and 3 × 29 = 87
8.Divide $138 in the ratio 1 : 5.
Answer: $23 and $115
- Total parts: 1 + 5 = 6
- One part: 138 ÷ 6 = 23
- 1 × 23 = 23 and 5 × 23 = 115
9.Divide $204 in the ratio 4 : 2.
Answer: $136 and $68
- Total parts: 4 + 2 = 6
- One part: 204 ÷ 6 = 34
- 4 × 34 = 136 and 2 × 34 = 68
10.Divide $340 in the ratio 5 : 5.
Answer: $170 and $170
- Total parts: 5 + 5 = 10
- One part: 340 ÷ 10 = 34
- 5 × 34 = 170 and 5 × 34 = 170
11.Divide $24 in the ratio 4 : 4.
Answer: $12 and $12
- Total parts: 4 + 4 = 8
- One part: 24 ÷ 8 = 3
- 4 × 3 = 12 and 4 × 3 = 12
12.Divide $32 in the ratio 4 : 4.
Answer: $16 and $16
- Total parts: 4 + 4 = 8
- One part: 32 ÷ 8 = 4
- 4 × 4 = 16 and 4 × 4 = 16
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.