Year 7 Ratio Worksheet — Level 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 3 — Answers
Part A: Simplify
1.Simplify the ratio 84 : 36
Answer: 7 : 3
- HCF of 84 and 36 is 12
- Divide both parts by 12
2.Simplify the ratio 36 : 32
Answer: 9 : 8
- HCF of 36 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
4.Simplify the ratio 54 : 18
Answer: 3 : 1
- HCF of 54 and 18 is 18
- Divide both parts by 18
5.Simplify the ratio 30 : 54
Answer: 5 : 9
- HCF of 30 and 54 is 6
- Divide both parts by 6
6.Simplify the ratio 49 : 21
Answer: 7 : 3
- HCF of 49 and 21 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $60 in the ratio 4 : 2.
Answer: $40 and $20
- Total parts: 4 + 2 = 6
- One part: 60 ÷ 6 = 10
- 4 × 10 = 40 and 2 × 10 = 20
8.Divide $120 in the ratio 1 : 5.
Answer: $20 and $100
- Total parts: 1 + 5 = 6
- One part: 120 ÷ 6 = 20
- 1 × 20 = 20 and 5 × 20 = 100
9.Divide $288 in the ratio 3 : 5.
Answer: $108 and $180
- Total parts: 3 + 5 = 8
- One part: 288 ÷ 8 = 36
- 3 × 36 = 108 and 5 × 36 = 180
10.Divide $40 in the ratio 5 : 3.
Answer: $25 and $15
- Total parts: 5 + 3 = 8
- One part: 40 ÷ 8 = 5
- 5 × 5 = 25 and 3 × 5 = 15
11.Divide $52 in the ratio 1 : 3.
Answer: $13 and $39
- Total parts: 1 + 3 = 4
- One part: 52 ÷ 4 = 13
- 1 × 13 = 13 and 3 × 13 = 39
12.Divide $132 in the ratio 3 : 1.
Answer: $99 and $33
- Total parts: 3 + 1 = 4
- One part: 132 ÷ 4 = 33
- 3 × 33 = 99 and 1 × 33 = 33
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.