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 12 : 6
Answer: 2 : 1
- HCF of 12 and 6 is 6
- Divide both parts by 6
2.Simplify the ratio 21 : 14
Answer: 3 : 2
- HCF of 21 and 14 is 7
- Divide both parts by 7
3.Simplify the ratio 2 : 8
Answer: 1 : 4
- HCF of 2 and 8 is 2
- Divide both parts by 2
4.Simplify the ratio 7 : 42
Answer: 1 : 6
- HCF of 7 and 42 is 7
- Divide both parts by 7
5.Simplify the ratio 20 : 36
Answer: 5 : 9
- HCF of 20 and 36 is 4
- Divide both parts by 4
6.Simplify the ratio 30 : 12
Answer: 5 : 2
- HCF of 30 and 12 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $35 in the ratio 2 : 3.
Answer: $14 and $21
- Total parts: 2 + 3 = 5
- One part: 35 ÷ 5 = 7
- 2 × 7 = 14 and 3 × 7 = 21
8.Divide $32 in the ratio 5 : 3.
Answer: $20 and $12
- Total parts: 5 + 3 = 8
- One part: 32 ÷ 8 = 4
- 5 × 4 = 20 and 3 × 4 = 12
9.Divide $55 in the ratio 4 : 1.
Answer: $44 and $11
- Total parts: 4 + 1 = 5
- One part: 55 ÷ 5 = 11
- 4 × 11 = 44 and 1 × 11 = 11
10.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
11.Divide $49 in the ratio 3 : 4.
Answer: $21 and $28
- Total parts: 3 + 4 = 7
- One part: 49 ÷ 7 = 7
- 3 × 7 = 21 and 4 × 7 = 28
12.Divide $24 in the ratio 4 : 4.
Answer: $12 and $12
- Total parts: 4 + 4 = 8
- One part: 24 ÷ 8 = 3
- 4 × 3 = 12 and 4 × 3 = 12
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.