Year 7 Ratio Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 8
Answer: 1 : 4
- HCF of 2 and 8 is 2
- Divide both parts by 2
2.Simplify the ratio 15 : 15
Answer: 1 : 1
- HCF of 15 and 15 is 15
- Divide both parts by 15
3.Simplify the ratio 20 : 30
Answer: 2 : 3
- HCF of 20 and 30 is 10
- Divide both parts by 10
4.Simplify the ratio 32 : 16
Answer: 2 : 1
- HCF of 32 and 16 is 16
- Divide both parts by 16
5.Simplify the ratio 81 : 45
Answer: 9 : 5
- HCF of 81 and 45 is 9
- Divide both parts by 9
6.Simplify the ratio 18 : 42
Answer: 3 : 7
- HCF of 18 and 42 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $21 in the ratio 5 : 2.
Answer: $15 and $6
- Total parts: 5 + 2 = 7
- One part: 21 ÷ 7 = 3
- 5 × 3 = 15 and 2 × 3 = 6
8.Divide $24 in the ratio 1 : 2.
Answer: $8 and $16
- Total parts: 1 + 2 = 3
- One part: 24 ÷ 3 = 8
- 1 × 8 = 8 and 2 × 8 = 16
9.Divide $54 in the ratio 2 : 4.
Answer: $18 and $36
- Total parts: 2 + 4 = 6
- One part: 54 ÷ 6 = 9
- 2 × 9 = 18 and 4 × 9 = 36
10.Divide $20 in the ratio 2 : 2.
Answer: $10 and $10
- Total parts: 2 + 2 = 4
- One part: 20 ÷ 4 = 5
- 2 × 5 = 10 and 2 × 5 = 10
11.Divide $45 in the ratio 2 : 3.
Answer: $18 and $27
- Total parts: 2 + 3 = 5
- One part: 45 ÷ 5 = 9
- 2 × 9 = 18 and 3 × 9 = 27
12.Divide $70 in the ratio 5 : 2.
Answer: $50 and $20
- Total parts: 5 + 2 = 7
- One part: 70 ÷ 7 = 10
- 5 × 10 = 50 and 2 × 10 = 20
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.