7th Grade Ratio Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 35 : 56
Answer: 5 : 8
- HCF of 35 and 56 is 7
- Divide both parts by 7
2.Simplify the ratio 6 : 21
Answer: 2 : 7
- HCF of 6 and 21 is 3
- Divide both parts by 3
3.Simplify the ratio 66 : 88
Answer: 3 : 4
- HCF of 66 and 88 is 22
- Divide both parts by 22
4.Simplify the ratio 60 : 10
Answer: 6 : 1
- HCF of 60 and 10 is 10
- Divide both parts by 10
5.Simplify the ratio 84 : 84
Answer: 1 : 1
- HCF of 84 and 84 is 84
- Divide both parts by 84
6.Simplify the ratio 9 : 27
Answer: 1 : 3
- HCF of 9 and 27 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $10 in the ratio 1 : 1.
Answer: $5 and $5
- Total parts: 1 + 1 = 2
- One part: 10 ÷ 2 = 5
- 1 × 5 = 5 and 1 × 5 = 5
8.Divide $72 in the ratio 1 : 5.
Answer: $12 and $60
- Total parts: 1 + 5 = 6
- One part: 72 ÷ 6 = 12
- 1 × 12 = 12 and 5 × 12 = 60
9.Divide $60 in the ratio 5 : 1.
Answer: $50 and $10
- Total parts: 5 + 1 = 6
- One part: 60 ÷ 6 = 10
- 5 × 10 = 50 and 1 × 10 = 10
10.Divide $21 in the ratio 4 : 3.
Answer: $12 and $9
- Total parts: 4 + 3 = 7
- One part: 21 ÷ 7 = 3
- 4 × 3 = 12 and 3 × 3 = 9
11.Divide $84 in the ratio 2 : 5.
Answer: $24 and $60
- Total parts: 2 + 5 = 7
- One part: 84 ÷ 7 = 12
- 2 × 12 = 24 and 5 × 12 = 60
12.Divide $24 in the ratio 4 : 2.
Answer: $16 and $8
- Total parts: 4 + 2 = 6
- One part: 24 ÷ 6 = 4
- 4 × 4 = 16 and 2 × 4 = 8
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.