8th Grade Ratio Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Part A: Simplify
1.Simplify the ratio 20 : 24
Answer: 5 : 6
- HCF of 20 and 24 is 4
- Divide both parts by 4
2.Simplify the ratio 40 : 80
Answer: 1 : 2
- HCF of 40 and 80 is 40
- Divide both parts by 40
3.Simplify the ratio 72 : 45
Answer: 8 : 5
- HCF of 72 and 45 is 9
- Divide both parts by 9
4.Simplify the ratio 12 : 72
Answer: 1 : 6
- HCF of 12 and 72 is 12
- Divide both parts by 12
5.Simplify the ratio 28 : 4
Answer: 7 : 1
- HCF of 28 and 4 is 4
- Divide both parts by 4
6.Simplify the ratio 90 : 70
Answer: 9 : 7
- HCF of 90 and 70 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $42 in the ratio 4 : 3.
Answer: $24 and $18
- Total parts: 4 + 3 = 7
- One part: 42 ÷ 7 = 6
- 4 × 6 = 24 and 3 × 6 = 18
8.Divide $20 in the ratio 3 : 2.
Answer: $12 and $8
- Total parts: 3 + 2 = 5
- One part: 20 ÷ 5 = 4
- 3 × 4 = 12 and 2 × 4 = 8
9.Divide $56 in the ratio 5 : 2.
Answer: $40 and $16
- Total parts: 5 + 2 = 7
- One part: 56 ÷ 7 = 8
- 5 × 8 = 40 and 2 × 8 = 16
10.Divide $81 in the ratio 4 : 5.
Answer: $36 and $45
- Total parts: 4 + 5 = 9
- One part: 81 ÷ 9 = 9
- 4 × 9 = 36 and 5 × 9 = 45
11.Divide $10 in the ratio 2 : 3.
Answer: $4 and $6
- Total parts: 2 + 3 = 5
- One part: 10 ÷ 5 = 2
- 2 × 2 = 4 and 3 × 2 = 6
12.Divide $40 in the ratio 3 : 2.
Answer: $24 and $16
- Total parts: 3 + 2 = 5
- One part: 40 ÷ 5 = 8
- 3 × 8 = 24 and 2 × 8 = 16
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.