7th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
7th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 4 : 20
Answer: 1 : 5
- HCF of 4 and 20 is 4
- Divide both parts by 4
2.Simplify the ratio 14 : 10
Answer: 7 : 5
- HCF of 14 and 10 is 2
- Divide both parts by 2
3.Simplify the ratio 24 : 24
Answer: 1 : 1
- HCF of 24 and 24 is 24
- Divide both parts by 24
4.Simplify the ratio 8 : 8
Answer: 1 : 1
- HCF of 8 and 8 is 8
- Divide both parts by 8
5.Simplify the ratio 32 : 32
Answer: 1 : 1
- HCF of 32 and 32 is 32
- Divide both parts by 32
6.Simplify the ratio 3 : 18
Answer: 1 : 6
- HCF of 3 and 18 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $24 in the ratio 3 : 1.
Answer: $18 and $6
- Total parts: 3 + 1 = 4
- One part: 24 ÷ 4 = 6
- 3 × 6 = 18 and 1 × 6 = 6
8.Divide $40 in the ratio 2 : 2.
Answer: $20 and $20
- Total parts: 2 + 2 = 4
- One part: 40 ÷ 4 = 10
- 2 × 10 = 20 and 2 × 10 = 20
9.Divide $55 in the ratio 4 : 1.
Answer: $44 and $11
- Total parts: 4 + 1 = 5
- One part: 55 ÷ 5 = 11
- 4 × 11 = 44 and 1 × 11 = 11
10.Divide $60 in the ratio 5 : 5.
Answer: $30 and $30
- Total parts: 5 + 5 = 10
- One part: 60 ÷ 10 = 6
- 5 × 6 = 30 and 5 × 6 = 30
11.Divide $8 in the ratio 1 : 3.
Answer: $2 and $6
- Total parts: 1 + 3 = 4
- One part: 8 ÷ 4 = 2
- 1 × 2 = 2 and 3 × 2 = 6
12.Divide $48 in the ratio 5 : 1.
Answer: $40 and $8
- Total parts: 5 + 1 = 6
- One part: 48 ÷ 6 = 8
- 5 × 8 = 40 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.