8th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade ratios & rates worksheet.
8th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 8 : 10
Answer: 4 : 5
- HCF of 8 and 10 is 2
- Divide both parts by 2
2.Simplify the ratio 18 : 6
Answer: 3 : 1
- HCF of 18 and 6 is 6
- Divide both parts by 6
3.Simplify the ratio 10 : 18
Answer: 5 : 9
- HCF of 10 and 18 is 2
- Divide both parts by 2
4.Simplify the ratio 8 : 32
Answer: 1 : 4
- HCF of 8 and 32 is 8
- Divide both parts by 8
5.Simplify the ratio 6 : 16
Answer: 3 : 8
- HCF of 6 and 16 is 2
- Divide both parts by 2
6.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $21 in the ratio 1 : 2.
Answer: $7 and $14
- Total parts: 1 + 2 = 3
- One part: 21 ÷ 3 = 7
- 1 × 7 = 7 and 2 × 7 = 14
8.Divide $54 in the ratio 1 : 5.
Answer: $9 and $45
- Total parts: 1 + 5 = 6
- One part: 54 ÷ 6 = 9
- 1 × 9 = 9 and 5 × 9 = 45
9.Divide $32 in the ratio 3 : 1.
Answer: $24 and $8
- Total parts: 3 + 1 = 4
- One part: 32 ÷ 4 = 8
- 3 × 8 = 24 and 1 × 8 = 8
10.Divide $45 in the ratio 5 : 4.
Answer: $25 and $20
- Total parts: 5 + 4 = 9
- One part: 45 ÷ 9 = 5
- 5 × 5 = 25 and 4 × 5 = 20
11.Divide $36 in the ratio 2 : 2.
Answer: $18 and $18
- Total parts: 2 + 2 = 4
- One part: 36 ÷ 4 = 9
- 2 × 9 = 18 and 2 × 9 = 18
12.Divide $99 in the ratio 4 : 5.
Answer: $44 and $55
- Total parts: 4 + 5 = 9
- One part: 99 ÷ 9 = 11
- 4 × 11 = 44 and 5 × 11 = 55
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.