7th Grade Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
7th Grade Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 63 : 18
Answer: 7 : 2
- HCF of 63 and 18 is 9
- Divide both parts by 9
2.Simplify the ratio 84 : 108
Answer: 7 : 9
- HCF of 84 and 108 is 12
- Divide both parts by 12
3.Simplify the ratio 40 : 15
Answer: 8 : 3
- HCF of 40 and 15 is 5
- Divide both parts by 5
4.Simplify the ratio 32 : 16
Answer: 2 : 1
- HCF of 32 and 16 is 16
- Divide both parts by 16
5.Simplify the ratio 90 : 80
Answer: 9 : 8
- HCF of 90 and 80 is 10
- Divide both parts by 10
6.Simplify the ratio 50 : 50
Answer: 1 : 1
- HCF of 50 and 50 is 50
- Divide both parts by 50
Part B: Divide in a ratio
7.Divide $20 in the ratio 1 : 3.
Answer: $5 and $15
- Total parts: 1 + 3 = 4
- One part: 20 ÷ 4 = 5
- 1 × 5 = 5 and 3 × 5 = 15
8.Divide $126 in the ratio 5 : 1.
Answer: $105 and $21
- Total parts: 5 + 1 = 6
- One part: 126 ÷ 6 = 21
- 5 × 21 = 105 and 1 × 21 = 21
9.Divide $150 in the ratio 5 : 1.
Answer: $125 and $25
- Total parts: 5 + 1 = 6
- One part: 150 ÷ 6 = 25
- 5 × 25 = 125 and 1 × 25 = 25
10.Divide $50 in the ratio 1 : 4.
Answer: $10 and $40
- Total parts: 1 + 4 = 5
- One part: 50 ÷ 5 = 10
- 1 × 10 = 10 and 4 × 10 = 40
11.Divide $90 in the ratio 5 : 1.
Answer: $75 and $15
- Total parts: 5 + 1 = 6
- One part: 90 ÷ 6 = 15
- 5 × 15 = 75 and 1 × 15 = 15
12.Divide $108 in the ratio 4 : 2.
Answer: $72 and $36
- Total parts: 4 + 2 = 6
- One part: 108 ÷ 6 = 18
- 4 × 18 = 72 and 2 × 18 = 36
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.