8th Grade Ratio Worksheet — Level 1 — 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 — Answers
Part A: Simplify
1.Simplify the ratio 18 : 8
Answer: 9 : 4
- HCF of 18 and 8 is 2
- Divide both parts by 2
2.Simplify the ratio 8 : 4
Answer: 2 : 1
- HCF of 8 and 4 is 4
- Divide both parts by 4
3.Simplify the ratio 15 : 9
Answer: 5 : 3
- HCF of 15 and 9 is 3
- Divide both parts by 3
4.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
5.Simplify the ratio 18 : 18
Answer: 1 : 1
- HCF of 18 and 18 is 18
- Divide both parts by 18
6.Simplify the ratio 4 : 28
Answer: 1 : 7
- HCF of 4 and 28 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $63 in the ratio 4 : 3.
Answer: $36 and $27
- Total parts: 4 + 3 = 7
- One part: 63 ÷ 7 = 9
- 4 × 9 = 36 and 3 × 9 = 27
8.Divide $36 in the ratio 2 : 4.
Answer: $12 and $24
- Total parts: 2 + 4 = 6
- One part: 36 ÷ 6 = 6
- 2 × 6 = 12 and 4 × 6 = 24
9.Divide $42 in the ratio 3 : 4.
Answer: $18 and $24
- Total parts: 3 + 4 = 7
- One part: 42 ÷ 7 = 6
- 3 × 6 = 18 and 4 × 6 = 24
10.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
11.Divide $45 in the ratio 2 : 3.
Answer: $18 and $27
- Total parts: 2 + 3 = 5
- One part: 45 ÷ 5 = 9
- 2 × 9 = 18 and 3 × 9 = 27
12.Divide $50 in the ratio 4 : 1.
Answer: $40 and $10
- Total parts: 4 + 1 = 5
- One part: 50 ÷ 5 = 10
- 4 × 10 = 40 and 1 × 10 = 10
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.