7th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 7 : 28
Answer: 1 : 4
- HCF of 7 and 28 is 7
- Divide both parts by 7
2.Simplify the ratio 55 : 99
Answer: 5 : 9
- HCF of 55 and 99 is 11
- Divide both parts by 11
3.Simplify the ratio 6 : 2
Answer: 3 : 1
- HCF of 6 and 2 is 2
- Divide both parts by 2
4.Simplify the ratio 42 : 56
Answer: 3 : 4
- HCF of 42 and 56 is 14
- Divide both parts by 14
5.Simplify the ratio 99 : 77
Answer: 9 : 7
- HCF of 99 and 77 is 11
- Divide both parts by 11
6.Simplify the ratio 30 : 20
Answer: 3 : 2
- HCF of 30 and 20 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $72 in the ratio 4 : 5.
Answer: $32 and $40
- Total parts: 4 + 5 = 9
- One part: 72 ÷ 9 = 8
- 4 × 8 = 32 and 5 × 8 = 40
8.Divide $69 in the ratio 2 : 1.
Answer: $46 and $23
- Total parts: 2 + 1 = 3
- One part: 69 ÷ 3 = 23
- 2 × 23 = 46 and 1 × 23 = 23
9.Divide $48 in the ratio 1 : 2.
Answer: $16 and $32
- Total parts: 1 + 2 = 3
- One part: 48 ÷ 3 = 16
- 1 × 16 = 16 and 2 × 16 = 32
10.Divide $216 in the ratio 4 : 5.
Answer: $96 and $120
- Total parts: 4 + 5 = 9
- One part: 216 ÷ 9 = 24
- 4 × 24 = 96 and 5 × 24 = 120
11.Divide $76 in the ratio 3 : 1.
Answer: $57 and $19
- Total parts: 3 + 1 = 4
- One part: 76 ÷ 4 = 19
- 3 × 19 = 57 and 1 × 19 = 19
12.Divide $234 in the ratio 5 : 4.
Answer: $130 and $104
- Total parts: 5 + 4 = 9
- One part: 234 ÷ 9 = 26
- 5 × 26 = 130 and 4 × 26 = 104
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.