Year 9 Ratio Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 32
Answer: 3 : 2
- HCF of 48 and 32 is 16
- Divide both parts by 16
2.Simplify the ratio 10 : 45
Answer: 2 : 9
- HCF of 10 and 45 is 5
- Divide both parts by 5
3.Simplify the ratio 14 : 4
Answer: 7 : 2
- HCF of 14 and 4 is 2
- Divide both parts by 2
4.Simplify the ratio 18 : 36
Answer: 1 : 2
- HCF of 18 and 36 is 18
- Divide both parts by 18
5.Simplify the ratio 8 : 40
Answer: 1 : 5
- HCF of 8 and 40 is 8
- Divide both parts by 8
6.Simplify the ratio 40 : 8
Answer: 5 : 1
- HCF of 40 and 8 is 8
- Divide both parts by 8
Part B: Divide in a ratio
7.Divide $64 in the ratio 5 : 3.
Answer: $40 and $24
- Total parts: 5 + 3 = 8
- One part: 64 ÷ 8 = 8
- 5 × 8 = 40 and 3 × 8 = 24
8.Divide $16 in the ratio 2 : 2.
Answer: $8 and $8
- Total parts: 2 + 2 = 4
- One part: 16 ÷ 4 = 4
- 2 × 4 = 8 and 2 × 4 = 8
9.Divide $20 in the ratio 2 : 3.
Answer: $8 and $12
- Total parts: 2 + 3 = 5
- One part: 20 ÷ 5 = 4
- 2 × 4 = 8 and 3 × 4 = 12
10.Divide $8 in the ratio 3 : 1.
Answer: $6 and $2
- Total parts: 3 + 1 = 4
- One part: 8 ÷ 4 = 2
- 3 × 2 = 6 and 1 × 2 = 2
11.Divide $28 in the ratio 2 : 2.
Answer: $14 and $14
- Total parts: 2 + 2 = 4
- One part: 28 ÷ 4 = 7
- 2 × 7 = 14 and 2 × 7 = 14
12.Divide $24 in the ratio 2 : 4.
Answer: $8 and $16
- Total parts: 2 + 4 = 6
- One part: 24 ÷ 6 = 4
- 2 × 4 = 8 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.