Year 8 Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.
Year 8 · Mathematics · Ratio & Rates
Year 8 Ratio Worksheet — Level 2 — Answers
Success Tutoring
Part A — Simplify
1.Simplify the ratio 72 : 72
Answer: 1 : 1
- HCF of 72 and 72 is 72
- Divide both parts by 72
2.Simplify the ratio 36 : 72
Answer: 1 : 2
- HCF of 36 and 72 is 36
- Divide both parts by 36
3.Simplify the ratio 30 : 54
Answer: 5 : 9
- HCF of 30 and 54 is 6
- Divide both parts by 6
4.Simplify the ratio 84 : 60
Answer: 7 : 5
- HCF of 84 and 60 is 12
- Divide both parts by 12
5.Simplify the ratio 88 : 33
Answer: 8 : 3
- HCF of 88 and 33 is 11
- Divide both parts by 11
6.Simplify the ratio 45 : 54
Answer: 5 : 6
- HCF of 45 and 54 is 9
- Divide both parts by 9
Part B — Divide in a ratio
7.Divide $36 in the ratio 1 : 5.
Answer: $6 and $30
- Total parts: 1 + 5 = 6
- One part: 36 ÷ 6 = 6
- 1 × 6 = 6 and 5 × 6 = 30
8.Divide $35 in the ratio 5 : 2.
Answer: $25 and $10
- Total parts: 5 + 2 = 7
- One part: 35 ÷ 7 = 5
- 5 × 5 = 25 and 2 × 5 = 10
9.Divide $40 in the ratio 1 : 4.
Answer: $8 and $32
- Total parts: 1 + 4 = 5
- One part: 40 ÷ 5 = 8
- 1 × 8 = 8 and 4 × 8 = 32
10.Divide $35 in the ratio 4 : 1.
Answer: $28 and $7
- Total parts: 4 + 1 = 5
- One part: 35 ÷ 5 = 7
- 4 × 7 = 28 and 1 × 7 = 7
11.Divide $66 in the ratio 4 : 2.
Answer: $44 and $22
- Total parts: 4 + 2 = 6
- One part: 66 ÷ 6 = 11
- 4 × 11 = 44 and 2 × 11 = 22
12.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
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.
Great work. Here's what to try next: