8th Grade Ratio Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 5 : 20
Answer: 1 : 4
- HCF of 5 and 20 is 5
- Divide both parts by 5
2.Simplify the ratio 28 : 32
Answer: 7 : 8
- HCF of 28 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 30 : 12
Answer: 5 : 2
- HCF of 30 and 12 is 6
- Divide both parts by 6
4.Simplify the ratio 21 : 42
Answer: 1 : 2
- HCF of 21 and 42 is 21
- Divide both parts by 21
5.Simplify the ratio 8 : 16
Answer: 1 : 2
- HCF of 8 and 16 is 8
- Divide both parts by 8
6.Simplify the ratio 9 : 27
Answer: 1 : 3
- HCF of 9 and 27 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.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
8.Divide $15 in the ratio 2 : 1.
Answer: $10 and $5
- Total parts: 2 + 1 = 3
- One part: 15 ÷ 3 = 5
- 2 × 5 = 10 and 1 × 5 = 5
9.Divide $72 in the ratio 5 : 1.
Answer: $60 and $12
- Total parts: 5 + 1 = 6
- One part: 72 ÷ 6 = 12
- 5 × 12 = 60 and 1 × 12 = 12
10.Divide $36 in the ratio 2 : 1.
Answer: $24 and $12
- Total parts: 2 + 1 = 3
- One part: 36 ÷ 3 = 12
- 2 × 12 = 24 and 1 × 12 = 12
11.Divide $63 in the ratio 5 : 4.
Answer: $35 and $28
- Total parts: 5 + 4 = 9
- One part: 63 ÷ 9 = 7
- 5 × 7 = 35 and 4 × 7 = 28
12.Divide $44 in the ratio 1 : 3.
Answer: $11 and $33
- Total parts: 1 + 3 = 4
- One part: 44 ÷ 4 = 11
- 1 × 11 = 11 and 3 × 11 = 33
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.