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 40 : 15
Answer: 8 : 3
- HCF of 40 and 15 is 5
- Divide both parts by 5
2.Simplify the ratio 24 : 48
Answer: 1 : 2
- HCF of 24 and 48 is 24
- Divide both parts by 24
3.Simplify the ratio 8 : 4
Answer: 2 : 1
- HCF of 8 and 4 is 4
- Divide both parts by 4
4.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
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 12 : 27
Answer: 4 : 9
- HCF of 12 and 27 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.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
8.Divide $48 in the ratio 5 : 3.
Answer: $30 and $18
- Total parts: 5 + 3 = 8
- One part: 48 ÷ 8 = 6
- 5 × 6 = 30 and 3 × 6 = 18
9.Divide $42 in the ratio 5 : 2.
Answer: $30 and $12
- Total parts: 5 + 2 = 7
- One part: 42 ÷ 7 = 6
- 5 × 6 = 30 and 2 × 6 = 12
10.Divide $25 in the ratio 3 : 2.
Answer: $15 and $10
- Total parts: 3 + 2 = 5
- One part: 25 ÷ 5 = 5
- 3 × 5 = 15 and 2 × 5 = 10
11.Divide $63 in the ratio 2 : 5.
Answer: $18 and $45
- Total parts: 2 + 5 = 7
- One part: 63 ÷ 7 = 9
- 2 × 9 = 18 and 5 × 9 = 45
12.Divide $24 in the ratio 2 : 1.
Answer: $16 and $8
- Total parts: 2 + 1 = 3
- One part: 24 ÷ 3 = 8
- 2 × 8 = 16 and 1 × 8 = 8
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.