Year 8 Ratio Worksheet — Level 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 — Answers
Part A: Simplify
1.Simplify the ratio 14 : 7
Answer: 2 : 1
- HCF of 14 and 7 is 7
- Divide both parts by 7
2.Simplify the ratio 12 : 36
Answer: 1 : 3
- HCF of 12 and 36 is 12
- Divide both parts by 12
3.Simplify the ratio 10 : 30
Answer: 1 : 3
- HCF of 10 and 30 is 10
- Divide both parts by 10
4.Simplify the ratio 36 : 27
Answer: 4 : 3
- HCF of 36 and 27 is 9
- Divide both parts by 9
5.Simplify the ratio 35 : 5
Answer: 7 : 1
- HCF of 35 and 5 is 5
- Divide both parts by 5
6.Simplify the ratio 40 : 15
Answer: 8 : 3
- HCF of 40 and 15 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $42 in the ratio 5 : 2.
Answer: $30 and $12
- Total parts: 5 + 2 = 7
- One part: 42 ÷ 7 = 6
- 5 × 6 = 30 and 2 × 6 = 12
8.Divide $60 in the ratio 5 : 1.
Answer: $50 and $10
- Total parts: 5 + 1 = 6
- One part: 60 ÷ 6 = 10
- 5 × 10 = 50 and 1 × 10 = 10
9.Divide $12 in the ratio 2 : 2.
Answer: $6 and $6
- Total parts: 2 + 2 = 4
- One part: 12 ÷ 4 = 3
- 2 × 3 = 6 and 2 × 3 = 6
10.Divide $40 in the ratio 3 : 1.
Answer: $30 and $10
- Total parts: 3 + 1 = 4
- One part: 40 ÷ 4 = 10
- 3 × 10 = 30 and 1 × 10 = 10
11.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
12.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
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.
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