Year 9 Ratio Worksheet — Level 1 — Practice Set 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 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 27 : 12
Answer: 9 : 4
- HCF of 27 and 12 is 3
- Divide both parts by 3
2.Simplify the ratio 27 : 24
Answer: 9 : 8
- HCF of 27 and 24 is 3
- Divide both parts by 3
3.Simplify the ratio 16 : 20
Answer: 4 : 5
- HCF of 16 and 20 is 4
- Divide both parts by 4
4.Simplify the ratio 9 : 9
Answer: 1 : 1
- HCF of 9 and 9 is 9
- Divide both parts by 9
5.Simplify the ratio 15 : 6
Answer: 5 : 2
- HCF of 15 and 6 is 3
- Divide both parts by 3
6.Simplify the ratio 24 : 15
Answer: 8 : 5
- HCF of 24 and 15 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $12 in the ratio 3 : 3.
Answer: $6 and $6
- Total parts: 3 + 3 = 6
- One part: 12 ÷ 6 = 2
- 3 × 2 = 6 and 3 × 2 = 6
8.Divide $24 in the ratio 3 : 1.
Answer: $18 and $6
- Total parts: 3 + 1 = 4
- One part: 24 ÷ 4 = 6
- 3 × 6 = 18 and 1 × 6 = 6
9.Divide $72 in the ratio 5 : 1.
Answer: $60 and $12
- Total parts: 5 + 1 = 6
- One part: 72 ÷ 6 = 12
- 5 × 12 = 60 and 1 × 12 = 12
10.Divide $84 in the ratio 3 : 4.
Answer: $36 and $48
- Total parts: 3 + 4 = 7
- One part: 84 ÷ 7 = 12
- 3 × 12 = 36 and 4 × 12 = 48
11.Divide $48 in the ratio 5 : 3.
Answer: $30 and $18
- Total parts: 5 + 3 = 8
- One part: 48 ÷ 8 = 6
- 5 × 6 = 30 and 3 × 6 = 18
12.Divide $21 in the ratio 3 : 4.
Answer: $9 and $12
- Total parts: 3 + 4 = 7
- One part: 21 ÷ 7 = 3
- 3 × 3 = 9 and 4 × 3 = 12
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.