Year 8 Ratio Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 28 : 8
Answer: 7 : 2
- HCF of 28 and 8 is 4
- Divide both parts by 4
2.Simplify the ratio 32 : 36
Answer: 8 : 9
- HCF of 32 and 36 is 4
- Divide both parts by 4
3.Simplify the ratio 15 : 27
Answer: 5 : 9
- HCF of 15 and 27 is 3
- Divide both parts by 3
4.Simplify the ratio 24 : 16
Answer: 3 : 2
- HCF of 24 and 16 is 8
- Divide both parts by 8
5.Simplify the ratio 32 : 8
Answer: 4 : 1
- HCF of 32 and 8 is 8
- Divide both parts by 8
6.Simplify the ratio 2 : 14
Answer: 1 : 7
- HCF of 2 and 14 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $36 in the ratio 5 : 1.
Answer: $30 and $6
- Total parts: 5 + 1 = 6
- One part: 36 ÷ 6 = 6
- 5 × 6 = 30 and 1 × 6 = 6
8.Divide $40 in the ratio 1 : 3.
Answer: $10 and $30
- Total parts: 1 + 3 = 4
- One part: 40 ÷ 4 = 10
- 1 × 10 = 10 and 3 × 10 = 30
9.Divide $16 in the ratio 3 : 1.
Answer: $12 and $4
- Total parts: 3 + 1 = 4
- One part: 16 ÷ 4 = 4
- 3 × 4 = 12 and 1 × 4 = 4
10.Divide $27 in the ratio 5 : 4.
Answer: $15 and $12
- Total parts: 5 + 4 = 9
- One part: 27 ÷ 9 = 3
- 5 × 3 = 15 and 4 × 3 = 12
11.Divide $60 in the ratio 1 : 5.
Answer: $10 and $50
- Total parts: 1 + 5 = 6
- One part: 60 ÷ 6 = 10
- 1 × 10 = 10 and 5 × 10 = 50
12.Divide $12 in the ratio 3 : 3.
Answer: $6 and $6
- Total parts: 3 + 3 = 6
- One part: 12 ÷ 6 = 2
- 3 × 2 = 6 and 3 × 2 = 6
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.