8th Grade Ratio Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 27 : 12
Answer: 9 : 4
- HCF of 27 and 12 is 3
- Divide both parts by 3
2.Simplify the ratio 8 : 2
Answer: 4 : 1
- HCF of 8 and 2 is 2
- Divide both parts by 2
3.Simplify the ratio 24 : 8
Answer: 3 : 1
- HCF of 24 and 8 is 8
- Divide both parts by 8
4.Simplify the ratio 18 : 12
Answer: 3 : 2
- HCF of 18 and 12 is 6
- Divide both parts by 6
5.Simplify the ratio 4 : 12
Answer: 1 : 3
- HCF of 4 and 12 is 4
- Divide both parts by 4
6.Simplify the ratio 8 : 12
Answer: 2 : 3
- HCF of 8 and 12 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $72 in the ratio 5 : 3.
Answer: $45 and $27
- Total parts: 5 + 3 = 8
- One part: 72 ÷ 8 = 9
- 5 × 9 = 45 and 3 × 9 = 27
8.Divide $56 in the ratio 2 : 5.
Answer: $16 and $40
- Total parts: 2 + 5 = 7
- One part: 56 ÷ 7 = 8
- 2 × 8 = 16 and 5 × 8 = 40
9.Divide $48 in the ratio 3 : 3.
Answer: $24 and $24
- Total parts: 3 + 3 = 6
- One part: 48 ÷ 6 = 8
- 3 × 8 = 24 and 3 × 8 = 24
10.Divide $48 in the ratio 5 : 1.
Answer: $40 and $8
- Total parts: 5 + 1 = 6
- One part: 48 ÷ 6 = 8
- 5 × 8 = 40 and 1 × 8 = 8
11.Divide $99 in the ratio 5 : 4.
Answer: $55 and $44
- Total parts: 5 + 4 = 9
- One part: 99 ÷ 9 = 11
- 5 × 11 = 55 and 4 × 11 = 44
12.Divide $18 in the ratio 1 : 1.
Answer: $9 and $9
- Total parts: 1 + 1 = 2
- One part: 18 ÷ 2 = 9
- 1 × 9 = 9 and 1 × 9 = 9
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.