7th Grade Ratio Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 2
Answer: 6 : 1
- HCF of 12 and 2 is 2
- Divide both parts by 2
2.Simplify the ratio 8 : 10
Answer: 4 : 5
- HCF of 8 and 10 is 2
- Divide both parts by 2
3.Simplify the ratio 27 : 27
Answer: 1 : 1
- HCF of 27 and 27 is 27
- Divide both parts by 27
4.Simplify the ratio 84 : 96
Answer: 7 : 8
- HCF of 84 and 96 is 12
- Divide both parts by 12
5.Simplify the ratio 72 : 81
Answer: 8 : 9
- HCF of 72 and 81 is 9
- Divide both parts by 9
6.Simplify the ratio 77 : 88
Answer: 7 : 8
- HCF of 77 and 88 is 11
- Divide both parts by 11
Part B: Divide in a ratio
7.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
8.Divide $28 in the ratio 3 : 1.
Answer: $21 and $7
- Total parts: 3 + 1 = 4
- One part: 28 ÷ 4 = 7
- 3 × 7 = 21 and 1 × 7 = 7
9.Divide $44 in the ratio 1 : 3.
Answer: $11 and $33
- Total parts: 1 + 3 = 4
- One part: 44 ÷ 4 = 11
- 1 × 11 = 11 and 3 × 11 = 33
10.Divide $33 in the ratio 1 : 2.
Answer: $11 and $22
- Total parts: 1 + 2 = 3
- One part: 33 ÷ 3 = 11
- 1 × 11 = 11 and 2 × 11 = 22
11.Divide $21 in the ratio 2 : 5.
Answer: $6 and $15
- Total parts: 2 + 5 = 7
- One part: 21 ÷ 7 = 3
- 2 × 3 = 6 and 5 × 3 = 15
12.Divide $72 in the ratio 4 : 4.
Answer: $36 and $36
- Total parts: 4 + 4 = 8
- One part: 72 ÷ 8 = 9
- 4 × 9 = 36 and 4 × 9 = 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.