7th Grade Ratio Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 8 : 32
Answer: 1 : 4
- HCF of 8 and 32 is 8
- Divide both parts by 8
2.Simplify the ratio 4 : 6
Answer: 2 : 3
- HCF of 4 and 6 is 2
- Divide both parts by 2
3.Simplify the ratio 8 : 14
Answer: 4 : 7
- HCF of 8 and 14 is 2
- Divide both parts by 2
4.Simplify the ratio 3 : 18
Answer: 1 : 6
- HCF of 3 and 18 is 3
- Divide both parts by 3
5.Simplify the ratio 10 : 18
Answer: 5 : 9
- HCF of 10 and 18 is 2
- Divide both parts by 2
6.Simplify the ratio 9 : 15
Answer: 3 : 5
- HCF of 9 and 15 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $35 in the ratio 4 : 3.
Answer: $20 and $15
- Total parts: 4 + 3 = 7
- One part: 35 ÷ 7 = 5
- 4 × 5 = 20 and 3 × 5 = 15
8.Divide $84 in the ratio 4 : 3.
Answer: $48 and $36
- Total parts: 4 + 3 = 7
- One part: 84 ÷ 7 = 12
- 4 × 12 = 48 and 3 × 12 = 36
9.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
10.Divide $24 in the ratio 1 : 5.
Answer: $4 and $20
- Total parts: 1 + 5 = 6
- One part: 24 ÷ 6 = 4
- 1 × 4 = 4 and 5 × 4 = 20
11.Divide $18 in the ratio 5 : 1.
Answer: $15 and $3
- Total parts: 5 + 1 = 6
- One part: 18 ÷ 6 = 3
- 5 × 3 = 15 and 1 × 3 = 3
12.Divide $48 in the ratio 1 : 3.
Answer: $12 and $36
- Total parts: 1 + 3 = 4
- One part: 48 ÷ 4 = 12
- 1 × 12 = 12 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.