8th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 15
Answer: 4 : 5
- HCF of 12 and 15 is 3
- Divide both parts by 3
2.Simplify the ratio 30 : 30
Answer: 1 : 1
- HCF of 30 and 30 is 30
- Divide both parts by 30
3.Simplify the ratio 24 : 24
Answer: 1 : 1
- HCF of 24 and 24 is 24
- Divide both parts by 24
4.Simplify the ratio 16 : 48
Answer: 1 : 3
- HCF of 16 and 48 is 16
- Divide both parts by 16
5.Simplify the ratio 63 : 63
Answer: 1 : 1
- HCF of 63 and 63 is 63
- Divide both parts by 63
6.Simplify the ratio 35 : 40
Answer: 7 : 8
- HCF of 35 and 40 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $18 in the ratio 1 : 5.
Answer: $3 and $15
- Total parts: 1 + 5 = 6
- One part: 18 ÷ 6 = 3
- 1 × 3 = 3 and 5 × 3 = 15
8.Divide $65 in the ratio 4 : 1.
Answer: $52 and $13
- Total parts: 4 + 1 = 5
- One part: 65 ÷ 5 = 13
- 4 × 13 = 52 and 1 × 13 = 13
9.Divide $144 in the ratio 3 : 5.
Answer: $54 and $90
- Total parts: 3 + 5 = 8
- One part: 144 ÷ 8 = 18
- 3 × 18 = 54 and 5 × 18 = 90
10.Divide $56 in the ratio 4 : 3.
Answer: $32 and $24
- Total parts: 4 + 3 = 7
- One part: 56 ÷ 7 = 8
- 4 × 8 = 32 and 3 × 8 = 24
11.Divide $54 in the ratio 4 : 5.
Answer: $24 and $30
- Total parts: 4 + 5 = 9
- One part: 54 ÷ 9 = 6
- 4 × 6 = 24 and 5 × 6 = 30
12.Divide $78 in the ratio 2 : 4.
Answer: $26 and $52
- Total parts: 2 + 4 = 6
- One part: 78 ÷ 6 = 13
- 2 × 13 = 26 and 4 × 13 = 52
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.