Year 7 Ratio Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & RatesYear 7 Ratio Worksheet — Level 3 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 18 : 45
Answer: 2 : 5
- HCF of 18 and 45 is 9
- Divide both parts by 9
2.Simplify the ratio 56 : 56
Answer: 1 : 1
- HCF of 56 and 56 is 56
- Divide both parts by 56
3.Simplify the ratio 36 : 27
Answer: 4 : 3
- HCF of 36 and 27 is 9
- Divide both parts by 9
4.Simplify the ratio 30 : 10
Answer: 3 : 1
- HCF of 30 and 10 is 10
- Divide both parts by 10
5.Simplify the ratio 63 : 63
Answer: 1 : 1
- HCF of 63 and 63 is 63
- Divide both parts by 63
6.Simplify the ratio 15 : 30
Answer: 1 : 2
- HCF of 15 and 30 is 15
- Divide both parts by 15
Part B: Divide in a ratio
7.Divide $100 in the ratio 4 : 1.
Answer: $80 and $20
- Total parts: 4 + 1 = 5
- One part: 100 ÷ 5 = 20
- 4 × 20 = 80 and 1 × 20 = 20
8.Divide $36 in the ratio 3 : 3.
Answer: $18 and $18
- Total parts: 3 + 3 = 6
- One part: 36 ÷ 6 = 6
- 3 × 6 = 18 and 3 × 6 = 18
9.Divide $49 in the ratio 4 : 3.
Answer: $28 and $21
- Total parts: 4 + 3 = 7
- One part: 49 ÷ 7 = 7
- 4 × 7 = 28 and 3 × 7 = 21
10.Divide $231 in the ratio 5 : 2.
Answer: $165 and $66
- Total parts: 5 + 2 = 7
- One part: 231 ÷ 7 = 33
- 5 × 33 = 165 and 2 × 33 = 66
11.Divide $104 in the ratio 5 : 3.
Answer: $65 and $39
- Total parts: 5 + 3 = 8
- One part: 104 ÷ 8 = 13
- 5 × 13 = 65 and 3 × 13 = 39
12.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
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.