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 6 : 9
Answer: 2 : 3
- HCF of 6 and 9 is 3
- Divide both parts by 3
2.Simplify the ratio 6 : 16
Answer: 3 : 8
- HCF of 6 and 16 is 2
- Divide both parts by 2
3.Simplify the ratio 15 : 15
Answer: 1 : 1
- HCF of 15 and 15 is 15
- Divide both parts by 15
4.Simplify the ratio 16 : 18
Answer: 8 : 9
- HCF of 16 and 18 is 2
- Divide both parts by 2
5.Simplify the ratio 2 : 14
Answer: 1 : 7
- HCF of 2 and 14 is 2
- Divide both parts by 2
6.Simplify the ratio 14 : 10
Answer: 7 : 5
- HCF of 14 and 10 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $28 in the ratio 2 : 5.
Answer: $8 and $20
- Total parts: 2 + 5 = 7
- One part: 28 ÷ 7 = 4
- 2 × 4 = 8 and 5 × 4 = 20
8.Divide $30 in the ratio 1 : 2.
Answer: $10 and $20
- Total parts: 1 + 2 = 3
- One part: 30 ÷ 3 = 10
- 1 × 10 = 10 and 2 × 10 = 20
9.Divide $27 in the ratio 2 : 1.
Answer: $18 and $9
- Total parts: 2 + 1 = 3
- One part: 27 ÷ 3 = 9
- 2 × 9 = 18 and 1 × 9 = 9
10.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
11.Divide $27 in the ratio 4 : 5.
Answer: $12 and $15
- Total parts: 4 + 5 = 9
- One part: 27 ÷ 9 = 3
- 4 × 3 = 12 and 5 × 3 = 15
12.Divide $99 in the ratio 5 : 4.
Answer: $55 and $44
- Total parts: 5 + 4 = 9
- One part: 99 ÷ 9 = 11
- 5 × 11 = 55 and 4 × 11 = 44
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.