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
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Part A — Simplify
1.Simplify the ratio 42 : 42
Answer: 1 : 1
- HCF of 42 and 42 is 42
- Divide both parts by 42
2.Simplify the ratio 4 : 6
Answer: 2 : 3
- HCF of 4 and 6 is 2
- Divide both parts by 2
3.Simplify the ratio 12 : 8
Answer: 3 : 2
- HCF of 12 and 8 is 4
- Divide both parts by 4
4.Simplify the ratio 35 : 21
Answer: 5 : 3
- HCF of 35 and 21 is 7
- Divide both parts by 7
5.Simplify the ratio 3 : 3
Answer: 1 : 1
- HCF of 3 and 3 is 3
- Divide both parts by 3
6.Simplify the ratio 48 : 36
Answer: 4 : 3
- HCF of 48 and 36 is 12
- Divide both parts by 12
Part B — Divide in a ratio
7.Divide $72 in the ratio 4 : 2.
Answer: $48 and $24
- Total parts: 4 + 2 = 6
- One part: 72 ÷ 6 = 12
- 4 × 12 = 48 and 2 × 12 = 24
8.Divide $33 in the ratio 2 : 1.
Answer: $22 and $11
- Total parts: 2 + 1 = 3
- One part: 33 ÷ 3 = 11
- 2 × 11 = 22 and 1 × 11 = 11
9.Divide $49 in the ratio 3 : 4.
Answer: $21 and $28
- Total parts: 3 + 4 = 7
- One part: 49 ÷ 7 = 7
- 3 × 7 = 21 and 4 × 7 = 28
10.Divide $15 in the ratio 4 : 1.
Answer: $12 and $3
- Total parts: 4 + 1 = 5
- One part: 15 ÷ 5 = 3
- 4 × 3 = 12 and 1 × 3 = 3
11.Divide $42 in the ratio 4 : 3.
Answer: $24 and $18
- Total parts: 4 + 3 = 7
- One part: 42 ÷ 7 = 6
- 4 × 6 = 24 and 3 × 6 = 18
12.Divide $35 in the ratio 3 : 4.
Answer: $15 and $20
- Total parts: 3 + 4 = 7
- One part: 35 ÷ 7 = 5
- 3 × 5 = 15 and 4 × 5 = 20
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.
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