Year 9 Ratio Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 3 : 3
Answer: 1 : 1
- HCF of 3 and 3 is 3
- Divide both parts by 3
2.Simplify the ratio 27 : 27
Answer: 1 : 1
- HCF of 27 and 27 is 27
- Divide both parts by 27
3.Simplify the ratio 28 : 8
Answer: 7 : 2
- HCF of 28 and 8 is 4
- Divide both parts by 4
4.Simplify the ratio 28 : 16
Answer: 7 : 4
- HCF of 28 and 16 is 4
- Divide both parts by 4
5.Simplify the ratio 18 : 9
Answer: 2 : 1
- HCF of 18 and 9 is 9
- Divide both parts by 9
6.Simplify the ratio 27 : 18
Answer: 3 : 2
- HCF of 27 and 18 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $48 in the ratio 3 : 5.
Answer: $18 and $30
- Total parts: 3 + 5 = 8
- One part: 48 ÷ 8 = 6
- 3 × 6 = 18 and 5 × 6 = 30
8.Divide $16 in the ratio 1 : 3.
Answer: $4 and $12
- Total parts: 1 + 3 = 4
- One part: 16 ÷ 4 = 4
- 1 × 4 = 4 and 3 × 4 = 12
9.Divide $10 in the ratio 3 : 2.
Answer: $6 and $4
- Total parts: 3 + 2 = 5
- One part: 10 ÷ 5 = 2
- 3 × 2 = 6 and 2 × 2 = 4
10.Divide $60 in the ratio 1 : 4.
Answer: $12 and $48
- Total parts: 1 + 4 = 5
- One part: 60 ÷ 5 = 12
- 1 × 12 = 12 and 4 × 12 = 48
11.Divide $28 in the ratio 3 : 1.
Answer: $21 and $7
- Total parts: 3 + 1 = 4
- One part: 28 ÷ 4 = 7
- 3 × 7 = 21 and 1 × 7 = 7
12.Divide $56 in the ratio 4 : 4.
Answer: $28 and $28
- Total parts: 4 + 4 = 8
- One part: 56 ÷ 8 = 7
- 4 × 7 = 28 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.