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 49 : 56
Answer: 7 : 8
- HCF of 49 and 56 is 7
- Divide both parts by 7
2.Simplify the ratio 63 : 36
Answer: 7 : 4
- HCF of 63 and 36 is 9
- Divide both parts by 9
3.Simplify the ratio 40 : 48
Answer: 5 : 6
- HCF of 40 and 48 is 8
- Divide both parts by 8
4.Simplify the ratio 14 : 2
Answer: 7 : 1
- HCF of 14 and 2 is 2
- Divide both parts by 2
5.Simplify the ratio 4 : 32
Answer: 1 : 8
- HCF of 4 and 32 is 4
- Divide both parts by 4
6.Simplify the ratio 7 : 21
Answer: 1 : 3
- HCF of 7 and 21 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $77 in the ratio 4 : 3.
Answer: $44 and $33
- Total parts: 4 + 3 = 7
- One part: 77 ÷ 7 = 11
- 4 × 11 = 44 and 3 × 11 = 33
8.Divide $125 in the ratio 4 : 1.
Answer: $100 and $25
- Total parts: 4 + 1 = 5
- One part: 125 ÷ 5 = 25
- 4 × 25 = 100 and 1 × 25 = 25
9.Divide $210 in the ratio 3 : 4.
Answer: $90 and $120
- Total parts: 3 + 4 = 7
- One part: 210 ÷ 7 = 30
- 3 × 30 = 90 and 4 × 30 = 120
10.Divide $140 in the ratio 5 : 2.
Answer: $100 and $40
- Total parts: 5 + 2 = 7
- One part: 140 ÷ 7 = 20
- 5 × 20 = 100 and 2 × 20 = 40
11.Divide $54 in the ratio 4 : 5.
Answer: $24 and $30
- Total parts: 4 + 5 = 9
- One part: 54 ÷ 9 = 6
- 4 × 6 = 24 and 5 × 6 = 30
12.Divide $256 in the ratio 3 : 5.
Answer: $96 and $160
- Total parts: 3 + 5 = 8
- One part: 256 ÷ 8 = 32
- 3 × 32 = 96 and 5 × 32 = 160
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.