7th Grade Ratio Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Ratio & Rates7th Grade Ratio Worksheet — Level 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 4 : 28
Answer: 1 : 7
- HCF of 4 and 28 is 4
- Divide both parts by 4
2.Simplify the ratio 10 : 4
Answer: 5 : 2
- HCF of 10 and 4 is 2
- Divide both parts by 2
3.Simplify the ratio 12 : 4
Answer: 3 : 1
- HCF of 12 and 4 is 4
- Divide both parts by 4
4.Simplify the ratio 27 : 12
Answer: 9 : 4
- HCF of 27 and 12 is 3
- Divide both parts by 3
5.Simplify the ratio 14 : 6
Answer: 7 : 3
- HCF of 14 and 6 is 2
- Divide both parts by 2
6.Simplify the ratio 9 : 21
Answer: 3 : 7
- HCF of 9 and 21 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $20 in the ratio 2 : 2.
Answer: $10 and $10
- Total parts: 2 + 2 = 4
- One part: 20 ÷ 4 = 5
- 2 × 5 = 10 and 2 × 5 = 10
8.Divide $42 in the ratio 3 : 4.
Answer: $18 and $24
- Total parts: 3 + 4 = 7
- One part: 42 ÷ 7 = 6
- 3 × 6 = 18 and 4 × 6 = 24
9.Divide $25 in the ratio 2 : 3.
Answer: $10 and $15
- Total parts: 2 + 3 = 5
- One part: 25 ÷ 5 = 5
- 2 × 5 = 10 and 3 × 5 = 15
10.Divide $30 in the ratio 3 : 2.
Answer: $18 and $12
- Total parts: 3 + 2 = 5
- One part: 30 ÷ 5 = 6
- 3 × 6 = 18 and 2 × 6 = 12
11.Divide $45 in the ratio 1 : 4.
Answer: $9 and $36
- Total parts: 1 + 4 = 5
- One part: 45 ÷ 5 = 9
- 1 × 9 = 9 and 4 × 9 = 36
12.Divide $96 in the ratio 5 : 3.
Answer: $60 and $36
- Total parts: 5 + 3 = 8
- One part: 96 ÷ 8 = 12
- 5 × 12 = 60 and 3 × 12 = 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.