Year 9 Ratio Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 45 : 9
Answer: 5 : 1
- HCF of 45 and 9 is 9
- Divide both parts by 9
2.Simplify the ratio 6 : 12
Answer: 1 : 2
- HCF of 6 and 12 is 6
- Divide both parts by 6
3.Simplify the ratio 12 : 24
Answer: 1 : 2
- HCF of 12 and 24 is 12
- Divide both parts by 12
4.Simplify the ratio 14 : 16
Answer: 7 : 8
- HCF of 14 and 16 is 2
- Divide both parts by 2
5.Simplify the ratio 5 : 30
Answer: 1 : 6
- HCF of 5 and 30 is 5
- Divide both parts by 5
6.Simplify the ratio 27 : 6
Answer: 9 : 2
- HCF of 27 and 6 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $50 in the ratio 4 : 1.
Answer: $40 and $10
- Total parts: 4 + 1 = 5
- One part: 50 ÷ 5 = 10
- 4 × 10 = 40 and 1 × 10 = 10
8.Divide $48 in the ratio 3 : 3.
Answer: $24 and $24
- Total parts: 3 + 3 = 6
- One part: 48 ÷ 6 = 8
- 3 × 8 = 24 and 3 × 8 = 24
9.Divide $21 in the ratio 2 : 1.
Answer: $14 and $7
- Total parts: 2 + 1 = 3
- One part: 21 ÷ 3 = 7
- 2 × 7 = 14 and 1 × 7 = 7
10.Divide $15 in the ratio 2 : 1.
Answer: $10 and $5
- Total parts: 2 + 1 = 3
- One part: 15 ÷ 3 = 5
- 2 × 5 = 10 and 1 × 5 = 5
11.Divide $72 in the ratio 4 : 5.
Answer: $32 and $40
- Total parts: 4 + 5 = 9
- One part: 72 ÷ 9 = 8
- 4 × 8 = 32 and 5 × 8 = 40
12.Divide $99 in the ratio 5 : 4.
Answer: $55 and $44
- Total parts: 5 + 4 = 9
- One part: 99 ÷ 9 = 11
- 5 × 11 = 55 and 4 × 11 = 44
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.