8th Grade Ratio Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 18
Answer: 1 : 9
- HCF of 2 and 18 is 2
- Divide both parts by 2
2.Simplify the ratio 16 : 24
Answer: 2 : 3
- HCF of 16 and 24 is 8
- Divide both parts by 8
3.Simplify the ratio 10 : 2
Answer: 5 : 1
- HCF of 10 and 2 is 2
- Divide both parts by 2
4.Simplify the ratio 27 : 21
Answer: 9 : 7
- HCF of 27 and 21 is 3
- Divide both parts by 3
5.Simplify the ratio 15 : 6
Answer: 5 : 2
- HCF of 15 and 6 is 3
- Divide both parts by 3
6.Simplify the ratio 2 : 6
Answer: 1 : 3
- HCF of 2 and 6 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $32 in the ratio 5 : 3.
Answer: $20 and $12
- Total parts: 5 + 3 = 8
- One part: 32 ÷ 8 = 4
- 5 × 4 = 20 and 3 × 4 = 12
8.Divide $49 in the ratio 5 : 2.
Answer: $35 and $14
- Total parts: 5 + 2 = 7
- One part: 49 ÷ 7 = 7
- 5 × 7 = 35 and 2 × 7 = 14
9.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
10.Divide $49 in the ratio 4 : 3.
Answer: $28 and $21
- Total parts: 4 + 3 = 7
- One part: 49 ÷ 7 = 7
- 4 × 7 = 28 and 3 × 7 = 21
11.Divide $50 in the ratio 3 : 2.
Answer: $30 and $20
- Total parts: 3 + 2 = 5
- One part: 50 ÷ 5 = 10
- 3 × 10 = 30 and 2 × 10 = 20
12.Divide $70 in the ratio 4 : 3.
Answer: $40 and $30
- Total parts: 4 + 3 = 7
- One part: 70 ÷ 7 = 10
- 4 × 10 = 40 and 3 × 10 = 30
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.