Year 9 Ratio Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 18
Answer: 1 : 9
- HCF of 2 and 18 is 2
- Divide both parts by 2
2.Simplify the ratio 14 : 28
Answer: 1 : 2
- HCF of 14 and 28 is 14
- Divide both parts by 14
3.Simplify the ratio 56 : 28
Answer: 2 : 1
- HCF of 56 and 28 is 28
- Divide both parts by 28
4.Simplify the ratio 72 : 12
Answer: 6 : 1
- HCF of 72 and 12 is 12
- Divide both parts by 12
5.Simplify the ratio 10 : 5
Answer: 2 : 1
- HCF of 10 and 5 is 5
- Divide both parts by 5
6.Simplify the ratio 24 : 48
Answer: 1 : 2
- HCF of 24 and 48 is 24
- Divide both parts by 24
Part B: Divide in a ratio
7.Divide $66 in the ratio 4 : 2.
Answer: $44 and $22
- Total parts: 4 + 2 = 6
- One part: 66 ÷ 6 = 11
- 4 × 11 = 44 and 2 × 11 = 22
8.Divide $15 in the ratio 1 : 2.
Answer: $5 and $10
- Total parts: 1 + 2 = 3
- One part: 15 ÷ 3 = 5
- 1 × 5 = 5 and 2 × 5 = 10
9.Divide $15 in the ratio 3 : 2.
Answer: $9 and $6
- Total parts: 3 + 2 = 5
- One part: 15 ÷ 5 = 3
- 3 × 3 = 9 and 2 × 3 = 6
10.Divide $35 in the ratio 3 : 4.
Answer: $15 and $20
- Total parts: 3 + 4 = 7
- One part: 35 ÷ 7 = 5
- 3 × 5 = 15 and 4 × 5 = 20
11.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
12.Divide $42 in the ratio 2 : 4.
Answer: $14 and $28
- Total parts: 2 + 4 = 6
- One part: 42 ÷ 6 = 7
- 2 × 7 = 14 and 4 × 7 = 28
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.