7th Grade Ratio Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Part A: Simplify
1.Simplify the ratio 49 : 42
Answer: 7 : 6
- HCF of 49 and 42 is 7
- Divide both parts by 7
2.Simplify the ratio 20 : 40
Answer: 1 : 2
- HCF of 20 and 40 is 20
- Divide both parts by 20
3.Simplify the ratio 16 : 56
Answer: 2 : 7
- HCF of 16 and 56 is 8
- Divide both parts by 8
4.Simplify the ratio 8 : 14
Answer: 4 : 7
- HCF of 8 and 14 is 2
- Divide both parts by 2
5.Simplify the ratio 33 : 88
Answer: 3 : 8
- HCF of 33 and 88 is 11
- Divide both parts by 11
6.Simplify the ratio 72 : 48
Answer: 3 : 2
- HCF of 72 and 48 is 24
- Divide both parts by 24
Part B: Divide in a ratio
7.Divide $156 in the ratio 2 : 4.
Answer: $52 and $104
- Total parts: 2 + 4 = 6
- One part: 156 ÷ 6 = 26
- 2 × 26 = 52 and 4 × 26 = 104
8.Divide $248 in the ratio 5 : 3.
Answer: $155 and $93
- Total parts: 5 + 3 = 8
- One part: 248 ÷ 8 = 31
- 5 × 31 = 155 and 3 × 31 = 93
9.Divide $154 in the ratio 4 : 3.
Answer: $88 and $66
- Total parts: 4 + 3 = 7
- One part: 154 ÷ 7 = 22
- 4 × 22 = 88 and 3 × 22 = 66
10.Divide $155 in the ratio 3 : 2.
Answer: $93 and $62
- Total parts: 3 + 2 = 5
- One part: 155 ÷ 5 = 31
- 3 × 31 = 93 and 2 × 31 = 62
11.Divide $35 in the ratio 1 : 4.
Answer: $7 and $28
- Total parts: 1 + 4 = 5
- One part: 35 ÷ 5 = 7
- 1 × 7 = 7 and 4 × 7 = 28
12.Divide $114 in the ratio 1 : 2.
Answer: $38 and $76
- Total parts: 1 + 2 = 3
- One part: 114 ÷ 3 = 38
- 1 × 38 = 38 and 2 × 38 = 76
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.