7th Grade Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
7th Grade Ratio Worksheet — Level 1 — Answers
Part A: Simplify
1.Simplify the ratio 15 : 21
Answer: 5 : 7
- HCF of 15 and 21 is 3
- Divide both parts by 3
2.Simplify the ratio 36 : 28
Answer: 9 : 7
- HCF of 36 and 28 is 4
- Divide both parts by 4
3.Simplify the ratio 12 : 27
Answer: 4 : 9
- HCF of 12 and 27 is 3
- Divide both parts by 3
4.Simplify the ratio 18 : 3
Answer: 6 : 1
- HCF of 18 and 3 is 3
- Divide both parts by 3
5.Simplify the ratio 4 : 28
Answer: 1 : 7
- HCF of 4 and 28 is 4
- Divide both parts by 4
6.Simplify the ratio 2 : 16
Answer: 1 : 8
- HCF of 2 and 16 is 2
- Divide both parts by 2
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 $48 in the ratio 2 : 2.
Answer: $24 and $24
- Total parts: 2 + 2 = 4
- One part: 48 ÷ 4 = 12
- 2 × 12 = 24 and 2 × 12 = 24
9.Divide $54 in the ratio 2 : 4.
Answer: $18 and $36
- Total parts: 2 + 4 = 6
- One part: 54 ÷ 6 = 9
- 2 × 9 = 18 and 4 × 9 = 36
10.Divide $35 in the ratio 2 : 3.
Answer: $14 and $21
- Total parts: 2 + 3 = 5
- One part: 35 ÷ 5 = 7
- 2 × 7 = 14 and 3 × 7 = 21
11.Divide $54 in the ratio 5 : 1.
Answer: $45 and $9
- Total parts: 5 + 1 = 6
- One part: 54 ÷ 6 = 9
- 5 × 9 = 45 and 1 × 9 = 9
12.Divide $25 in the ratio 4 : 1.
Answer: $20 and $5
- Total parts: 4 + 1 = 5
- One part: 25 ÷ 5 = 5
- 4 × 5 = 20 and 1 × 5 = 5
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.