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 8 : 32
Answer: 1 : 4
- HCF of 8 and 32 is 8
- Divide both parts by 8
2.Simplify the ratio 4 : 32
Answer: 1 : 8
- HCF of 4 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 16 : 6
Answer: 8 : 3
- HCF of 16 and 6 is 2
- Divide both parts by 2
4.Simplify the ratio 4 : 8
Answer: 1 : 2
- HCF of 4 and 8 is 4
- Divide both parts by 4
5.Simplify the ratio 2 : 6
Answer: 1 : 3
- HCF of 2 and 6 is 2
- Divide both parts by 2
6.Simplify the ratio 36 : 36
Answer: 1 : 1
- HCF of 36 and 36 is 36
- Divide both parts by 36
Part B: Divide in a ratio
7.Divide $48 in the ratio 1 : 5.
Answer: $8 and $40
- Total parts: 1 + 5 = 6
- One part: 48 ÷ 6 = 8
- 1 × 8 = 8 and 5 × 8 = 40
8.Divide $21 in the ratio 2 : 5.
Answer: $6 and $15
- Total parts: 2 + 5 = 7
- One part: 21 ÷ 7 = 3
- 2 × 3 = 6 and 5 × 3 = 15
9.Divide $40 in the ratio 1 : 4.
Answer: $8 and $32
- Total parts: 1 + 4 = 5
- One part: 40 ÷ 5 = 8
- 1 × 8 = 8 and 4 × 8 = 32
10.Divide $36 in the ratio 2 : 1.
Answer: $24 and $12
- Total parts: 2 + 1 = 3
- One part: 36 ÷ 3 = 12
- 2 × 12 = 24 and 1 × 12 = 12
11.Divide $54 in the ratio 1 : 5.
Answer: $9 and $45
- Total parts: 1 + 5 = 6
- One part: 54 ÷ 6 = 9
- 1 × 9 = 9 and 5 × 9 = 45
12.Divide $25 in the ratio 1 : 4.
Answer: $5 and $20
- Total parts: 1 + 4 = 5
- One part: 25 ÷ 5 = 5
- 1 × 5 = 5 and 4 × 5 = 20
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.