7th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
7th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 108 : 96
Answer: 9 : 8
- HCF of 108 and 96 is 12
- Divide both parts by 12
2.Simplify the ratio 49 : 7
Answer: 7 : 1
- HCF of 49 and 7 is 7
- Divide both parts by 7
3.Simplify the ratio 20 : 60
Answer: 1 : 3
- HCF of 20 and 60 is 20
- Divide both parts by 20
4.Simplify the ratio 4 : 32
Answer: 1 : 8
- HCF of 4 and 32 is 4
- Divide both parts by 4
5.Simplify the ratio 60 : 24
Answer: 5 : 2
- HCF of 60 and 24 is 12
- Divide both parts by 12
6.Simplify the ratio 108 : 108
Answer: 1 : 1
- HCF of 108 and 108 is 108
- Divide both parts by 108
Part B: Divide in a ratio
7.Divide $48 in the ratio 2 : 4.
Answer: $16 and $32
- Total parts: 2 + 4 = 6
- One part: 48 ÷ 6 = 8
- 2 × 8 = 16 and 4 × 8 = 32
8.Divide $55 in the ratio 1 : 4.
Answer: $11 and $44
- Total parts: 1 + 4 = 5
- One part: 55 ÷ 5 = 11
- 1 × 11 = 11 and 4 × 11 = 44
9.Divide $80 in the ratio 4 : 4.
Answer: $40 and $40
- Total parts: 4 + 4 = 8
- One part: 80 ÷ 8 = 10
- 4 × 10 = 40 and 4 × 10 = 40
10.Divide $18 in the ratio 5 : 1.
Answer: $15 and $3
- Total parts: 5 + 1 = 6
- One part: 18 ÷ 6 = 3
- 5 × 3 = 15 and 1 × 3 = 3
11.Divide $16 in the ratio 1 : 3.
Answer: $4 and $12
- Total parts: 1 + 3 = 4
- One part: 16 ÷ 4 = 4
- 1 × 4 = 4 and 3 × 4 = 12
12.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
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.