Year 9 Ratio Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 14 : 6
Answer: 7 : 3
- HCF of 14 and 6 is 2
- Divide both parts by 2
2.Simplify the ratio 32 : 24
Answer: 4 : 3
- HCF of 32 and 24 is 8
- Divide both parts by 8
3.Simplify the ratio 27 : 24
Answer: 9 : 8
- HCF of 27 and 24 is 3
- Divide both parts by 3
4.Simplify the ratio 9 : 15
Answer: 3 : 5
- HCF of 9 and 15 is 3
- Divide both parts by 3
5.Simplify the ratio 20 : 4
Answer: 5 : 1
- HCF of 20 and 4 is 4
- Divide both parts by 4
6.Simplify the ratio 14 : 10
Answer: 7 : 5
- HCF of 14 and 10 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $16 in the ratio 3 : 5.
Answer: $6 and $10
- Total parts: 3 + 5 = 8
- One part: 16 ÷ 8 = 2
- 3 × 2 = 6 and 5 × 2 = 10
8.Divide $10 in the ratio 1 : 4.
Answer: $2 and $8
- Total parts: 1 + 4 = 5
- One part: 10 ÷ 5 = 2
- 1 × 2 = 2 and 4 × 2 = 8
9.Divide $36 in the ratio 4 : 2.
Answer: $24 and $12
- Total parts: 4 + 2 = 6
- One part: 36 ÷ 6 = 6
- 4 × 6 = 24 and 2 × 6 = 12
10.Divide $96 in the ratio 4 : 4.
Answer: $48 and $48
- Total parts: 4 + 4 = 8
- One part: 96 ÷ 8 = 12
- 4 × 12 = 48 and 4 × 12 = 48
11.Divide $90 in the ratio 4 : 5.
Answer: $40 and $50
- Total parts: 4 + 5 = 9
- One part: 90 ÷ 9 = 10
- 4 × 10 = 40 and 5 × 10 = 50
12.Divide $24 in the ratio 5 : 3.
Answer: $15 and $9
- Total parts: 5 + 3 = 8
- One part: 24 ÷ 8 = 3
- 5 × 3 = 15 and 3 × 3 = 9
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.