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 12 : 9
Answer: 4 : 3
- HCF of 12 and 9 is 3
- Divide both parts by 3
2.Simplify the ratio 12 : 27
Answer: 4 : 9
- HCF of 12 and 27 is 3
- Divide both parts by 3
3.Simplify the ratio 12 : 28
Answer: 3 : 7
- HCF of 12 and 28 is 4
- Divide both parts by 4
4.Simplify the ratio 14 : 8
Answer: 7 : 4
- HCF of 14 and 8 is 2
- Divide both parts by 2
5.Simplify the ratio 6 : 6
Answer: 1 : 1
- HCF of 6 and 6 is 6
- Divide both parts by 6
6.Simplify the ratio 8 : 14
Answer: 4 : 7
- HCF of 8 and 14 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $36 in the ratio 2 : 2.
Answer: $18 and $18
- Total parts: 2 + 2 = 4
- One part: 36 ÷ 4 = 9
- 2 × 9 = 18 and 2 × 9 = 18
8.Divide $28 in the ratio 1 : 3.
Answer: $7 and $21
- Total parts: 1 + 3 = 4
- One part: 28 ÷ 4 = 7
- 1 × 7 = 7 and 3 × 7 = 21
9.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
10.Divide $60 in the ratio 2 : 4.
Answer: $20 and $40
- Total parts: 2 + 4 = 6
- One part: 60 ÷ 6 = 10
- 2 × 10 = 20 and 4 × 10 = 40
11.Divide $45 in the ratio 4 : 1.
Answer: $36 and $9
- Total parts: 4 + 1 = 5
- One part: 45 ÷ 5 = 9
- 4 × 9 = 36 and 1 × 9 = 9
12.Divide $20 in the ratio 4 : 1.
Answer: $16 and $4
- Total parts: 4 + 1 = 5
- One part: 20 ÷ 5 = 4
- 4 × 4 = 16 and 1 × 4 = 4
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.