7th Grade Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Ratio & Rates7th Grade Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 40 : 25
Answer: 8 : 5
- HCF of 40 and 25 is 5
- Divide both parts by 5
2.Simplify the ratio 44 : 66
Answer: 2 : 3
- HCF of 44 and 66 is 22
- Divide both parts by 22
3.Simplify the ratio 2 : 18
Answer: 1 : 9
- HCF of 2 and 18 is 2
- Divide both parts by 2
4.Simplify the ratio 42 : 54
Answer: 7 : 9
- HCF of 42 and 54 is 6
- Divide both parts by 6
5.Simplify the ratio 16 : 16
Answer: 1 : 1
- HCF of 16 and 16 is 16
- Divide both parts by 16
6.Simplify the ratio 20 : 10
Answer: 2 : 1
- HCF of 20 and 10 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $50 in the ratio 4 : 1.
Answer: $40 and $10
- Total parts: 4 + 1 = 5
- One part: 50 ÷ 5 = 10
- 4 × 10 = 40 and 1 × 10 = 10
8.Divide $80 in the ratio 5 : 5.
Answer: $40 and $40
- Total parts: 5 + 5 = 10
- One part: 80 ÷ 10 = 8
- 5 × 8 = 40 and 5 × 8 = 40
9.Divide $243 in the ratio 5 : 4.
Answer: $135 and $108
- Total parts: 5 + 4 = 9
- One part: 243 ÷ 9 = 27
- 5 × 27 = 135 and 4 × 27 = 108
10.Divide $243 in the ratio 4 : 5.
Answer: $108 and $135
- Total parts: 4 + 5 = 9
- One part: 243 ÷ 9 = 27
- 4 × 27 = 108 and 5 × 27 = 135
11.Divide $10 in the ratio 1 : 4.
Answer: $2 and $8
- Total parts: 1 + 4 = 5
- One part: 10 ÷ 5 = 2
- 1 × 2 = 2 and 4 × 2 = 8
12.Divide $78 in the ratio 5 : 1.
Answer: $65 and $13
- Total parts: 5 + 1 = 6
- One part: 78 ÷ 6 = 13
- 5 × 13 = 65 and 1 × 13 = 13
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.