Year 7 Ratio Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & RatesYear 7 Ratio Worksheet — Level 2 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 44 : 66
Answer: 2 : 3
- HCF of 44 and 66 is 22
- Divide both parts by 22
2.Simplify the ratio 36 : 18
Answer: 2 : 1
- HCF of 36 and 18 is 18
- Divide both parts by 18
3.Simplify the ratio 42 : 42
Answer: 1 : 1
- HCF of 42 and 42 is 42
- Divide both parts by 42
4.Simplify the ratio 81 : 63
Answer: 9 : 7
- HCF of 81 and 63 is 9
- Divide both parts by 9
5.Simplify the ratio 27 : 15
Answer: 9 : 5
- HCF of 27 and 15 is 3
- Divide both parts by 3
6.Simplify the ratio 15 : 45
Answer: 1 : 3
- HCF of 15 and 45 is 15
- Divide both parts by 15
Part B: Divide in a ratio
7.Divide $63 in the ratio 5 : 4.
Answer: $35 and $28
- Total parts: 5 + 4 = 9
- One part: 63 ÷ 9 = 7
- 5 × 7 = 35 and 4 × 7 = 28
8.Divide $20 in the ratio 3 : 2.
Answer: $12 and $8
- Total parts: 3 + 2 = 5
- One part: 20 ÷ 5 = 4
- 3 × 4 = 12 and 2 × 4 = 8
9.Divide $30 in the ratio 4 : 2.
Answer: $20 and $10
- Total parts: 4 + 2 = 6
- One part: 30 ÷ 6 = 5
- 4 × 5 = 20 and 2 × 5 = 10
10.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
11.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
12.Divide $36 in the ratio 2 : 1.
Answer: $24 and $12
- Total parts: 2 + 1 = 3
- One part: 36 ÷ 3 = 12
- 2 × 12 = 24 and 1 × 12 = 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.