8th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 12
Answer: 1 : 1
- HCF of 12 and 12 is 12
- Divide both parts by 12
2.Simplify the ratio 12 : 24
Answer: 1 : 2
- HCF of 12 and 24 is 12
- Divide both parts by 12
3.Simplify the ratio 42 : 49
Answer: 6 : 7
- HCF of 42 and 49 is 7
- Divide both parts by 7
4.Simplify the ratio 56 : 32
Answer: 7 : 4
- HCF of 56 and 32 is 8
- Divide both parts by 8
5.Simplify the ratio 30 : 30
Answer: 1 : 1
- HCF of 30 and 30 is 30
- Divide both parts by 30
6.Simplify the ratio 20 : 50
Answer: 2 : 5
- HCF of 20 and 50 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $306 in the ratio 5 : 4.
Answer: $170 and $136
- Total parts: 5 + 4 = 9
- One part: 306 ÷ 9 = 34
- 5 × 34 = 170 and 4 × 34 = 136
8.Divide $24 in the ratio 3 : 5.
Answer: $9 and $15
- Total parts: 3 + 5 = 8
- One part: 24 ÷ 8 = 3
- 3 × 3 = 9 and 5 × 3 = 15
9.Divide $110 in the ratio 1 : 4.
Answer: $22 and $88
- Total parts: 1 + 4 = 5
- One part: 110 ÷ 5 = 22
- 1 × 22 = 22 and 4 × 22 = 88
10.Divide $9 in the ratio 1 : 2.
Answer: $3 and $6
- Total parts: 1 + 2 = 3
- One part: 9 ÷ 3 = 3
- 1 × 3 = 3 and 2 × 3 = 6
11.Divide $60 in the ratio 2 : 4.
Answer: $20 and $40
- Total parts: 2 + 4 = 6
- One part: 60 ÷ 6 = 10
- 2 × 10 = 20 and 4 × 10 = 40
12.Divide $68 in the ratio 1 : 1.
Answer: $34 and $34
- Total parts: 1 + 1 = 2
- One part: 68 ÷ 2 = 34
- 1 × 34 = 34 and 1 × 34 = 34
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.