Year 9 Ratio Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 4 : 8
Answer: 1 : 2
- HCF of 4 and 8 is 4
- Divide both parts by 4
2.Simplify the ratio 32 : 8
Answer: 4 : 1
- HCF of 32 and 8 is 8
- Divide both parts by 8
3.Simplify the ratio 6 : 6
Answer: 1 : 1
- HCF of 6 and 6 is 6
- Divide both parts by 6
4.Simplify the ratio 4 : 6
Answer: 2 : 3
- HCF of 4 and 6 is 2
- Divide both parts by 2
5.Simplify the ratio 4 : 24
Answer: 1 : 6
- HCF of 4 and 24 is 4
- Divide both parts by 4
6.Simplify the ratio 16 : 2
Answer: 8 : 1
- HCF of 16 and 2 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $12 in the ratio 2 : 4.
Answer: $4 and $8
- Total parts: 2 + 4 = 6
- One part: 12 ÷ 6 = 2
- 2 × 2 = 4 and 4 × 2 = 8
8.Divide $30 in the ratio 1 : 5.
Answer: $5 and $25
- Total parts: 1 + 5 = 6
- One part: 30 ÷ 6 = 5
- 1 × 5 = 5 and 5 × 5 = 25
9.Divide $45 in the ratio 5 : 4.
Answer: $25 and $20
- Total parts: 5 + 4 = 9
- One part: 45 ÷ 9 = 5
- 5 × 5 = 25 and 4 × 5 = 20
10.Divide $56 in the ratio 4 : 3.
Answer: $32 and $24
- Total parts: 4 + 3 = 7
- One part: 56 ÷ 7 = 8
- 4 × 8 = 32 and 3 × 8 = 24
11.Divide $96 in the ratio 5 : 3.
Answer: $60 and $36
- Total parts: 5 + 3 = 8
- One part: 96 ÷ 8 = 12
- 5 × 12 = 60 and 3 × 12 = 36
12.Divide $12 in the ratio 1 : 5.
Answer: $2 and $10
- Total parts: 1 + 5 = 6
- One part: 12 ÷ 6 = 2
- 1 × 2 = 2 and 5 × 2 = 10
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.