Year 8 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Ratio & RatesYear 8 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 66 : 55
Answer: 6 : 5
- HCF of 66 and 55 is 11
- Divide both parts by 11
2.Simplify the ratio 32 : 48
Answer: 2 : 3
- HCF of 32 and 48 is 16
- Divide both parts by 16
3.Simplify the ratio 30 : 30
Answer: 1 : 1
- HCF of 30 and 30 is 30
- Divide both parts by 30
4.Simplify the ratio 60 : 50
Answer: 6 : 5
- HCF of 60 and 50 is 10
- Divide both parts by 10
5.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
6.Simplify the ratio 28 : 14
Answer: 2 : 1
- HCF of 28 and 14 is 14
- Divide both parts by 14
Part B: Divide in a ratio
7.Divide $81 in the ratio 4 : 5.
Answer: $36 and $45
- Total parts: 4 + 5 = 9
- One part: 81 ÷ 9 = 9
- 4 × 9 = 36 and 5 × 9 = 45
8.Divide $54 in the ratio 4 : 2.
Answer: $36 and $18
- Total parts: 4 + 2 = 6
- One part: 54 ÷ 6 = 9
- 4 × 9 = 36 and 2 × 9 = 18
9.Divide $72 in the ratio 1 : 5.
Answer: $12 and $60
- Total parts: 1 + 5 = 6
- One part: 72 ÷ 6 = 12
- 1 × 12 = 12 and 5 × 12 = 60
10.Divide $55 in the ratio 3 : 2.
Answer: $33 and $22
- Total parts: 3 + 2 = 5
- One part: 55 ÷ 5 = 11
- 3 × 11 = 33 and 2 × 11 = 22
11.Divide $96 in the ratio 5 : 3.
Answer: $60 and $36
- Total parts: 5 + 3 = 8
- One part: 96 ÷ 8 = 12
- 5 × 12 = 60 and 3 × 12 = 36
12.Divide $60 in the ratio 4 : 1.
Answer: $48 and $12
- Total parts: 4 + 1 = 5
- One part: 60 ÷ 5 = 12
- 4 × 12 = 48 and 1 × 12 = 12
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.