8th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Ratio & Rates8th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 77 : 44
Answer: 7 : 4
- HCF of 77 and 44 is 11
- Divide both parts by 11
2.Simplify the ratio 8 : 40
Answer: 1 : 5
- HCF of 8 and 40 is 8
- Divide both parts by 8
3.Simplify the ratio 55 : 22
Answer: 5 : 2
- HCF of 55 and 22 is 11
- Divide both parts by 11
4.Simplify the ratio 56 : 63
Answer: 8 : 9
- HCF of 56 and 63 is 7
- Divide both parts by 7
5.Simplify the ratio 24 : 60
Answer: 2 : 5
- HCF of 24 and 60 is 12
- Divide both parts by 12
6.Simplify the ratio 10 : 45
Answer: 2 : 9
- HCF of 10 and 45 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $12 in the ratio 1 : 2.
Answer: $4 and $8
- Total parts: 1 + 2 = 3
- One part: 12 ÷ 3 = 4
- 1 × 4 = 4 and 2 × 4 = 8
8.Divide $63 in the ratio 2 : 5.
Answer: $18 and $45
- Total parts: 2 + 5 = 7
- One part: 63 ÷ 7 = 9
- 2 × 9 = 18 and 5 × 9 = 45
9.Divide $84 in the ratio 3 : 4.
Answer: $36 and $48
- Total parts: 3 + 4 = 7
- One part: 84 ÷ 7 = 12
- 3 × 12 = 36 and 4 × 12 = 48
10.Divide $27 in the ratio 5 : 4.
Answer: $15 and $12
- Total parts: 5 + 4 = 9
- One part: 27 ÷ 9 = 3
- 5 × 3 = 15 and 4 × 3 = 12
11.Divide $72 in the ratio 2 : 4.
Answer: $24 and $48
- Total parts: 2 + 4 = 6
- One part: 72 ÷ 6 = 12
- 2 × 12 = 24 and 4 × 12 = 48
12.Divide $54 in the ratio 5 : 4.
Answer: $30 and $24
- Total parts: 5 + 4 = 9
- One part: 54 ÷ 9 = 6
- 5 × 6 = 30 and 4 × 6 = 24
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.