8th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 10 : 15
Answer: 2 : 3
- HCF of 10 and 15 is 5
- Divide both parts by 5
2.Simplify the ratio 2 : 12
Answer: 1 : 6
- HCF of 2 and 12 is 2
- Divide both parts by 2
3.Simplify the ratio 72 : 9
Answer: 8 : 1
- HCF of 72 and 9 is 9
- Divide both parts by 9
4.Simplify the ratio 18 : 4
Answer: 9 : 2
- HCF of 18 and 4 is 2
- Divide both parts by 2
5.Simplify the ratio 24 : 6
Answer: 4 : 1
- HCF of 24 and 6 is 6
- Divide both parts by 6
6.Simplify the ratio 90 : 10
Answer: 9 : 1
- HCF of 90 and 10 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $256 in the ratio 5 : 3.
Answer: $160 and $96
- Total parts: 5 + 3 = 8
- One part: 256 ÷ 8 = 32
- 5 × 32 = 160 and 3 × 32 = 96
8.Divide $72 in the ratio 3 : 1.
Answer: $54 and $18
- Total parts: 3 + 1 = 4
- One part: 72 ÷ 4 = 18
- 3 × 18 = 54 and 1 × 18 = 18
9.Divide $192 in the ratio 5 : 3.
Answer: $120 and $72
- Total parts: 5 + 3 = 8
- One part: 192 ÷ 8 = 24
- 5 × 24 = 120 and 3 × 24 = 72
10.Divide $208 in the ratio 3 : 5.
Answer: $78 and $130
- Total parts: 3 + 5 = 8
- One part: 208 ÷ 8 = 26
- 3 × 26 = 78 and 5 × 26 = 130
11.Divide $25 in the ratio 3 : 2.
Answer: $15 and $10
- Total parts: 3 + 2 = 5
- One part: 25 ÷ 5 = 5
- 3 × 5 = 15 and 2 × 5 = 10
12.Divide $25 in the ratio 2 : 3.
Answer: $10 and $15
- Total parts: 2 + 3 = 5
- One part: 25 ÷ 5 = 5
- 2 × 5 = 10 and 3 × 5 = 15
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.