Year 8 Ratio Worksheet — Level 1 — 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 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
2.Simplify the ratio 12 : 8
Answer: 3 : 2
- HCF of 12 and 8 is 4
- Divide both parts by 4
3.Simplify the ratio 28 : 20
Answer: 7 : 5
- HCF of 28 and 20 is 4
- Divide both parts by 4
4.Simplify the ratio 9 : 27
Answer: 1 : 3
- HCF of 9 and 27 is 9
- Divide both parts by 9
5.Simplify the ratio 16 : 16
Answer: 1 : 1
- HCF of 16 and 16 is 16
- Divide both parts by 16
6.Simplify the ratio 12 : 24
Answer: 1 : 2
- HCF of 12 and 24 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $22 in the ratio 1 : 1.
Answer: $11 and $11
- Total parts: 1 + 1 = 2
- One part: 22 ÷ 2 = 11
- 1 × 11 = 11 and 1 × 11 = 11
8.Divide $6 in the ratio 2 : 1.
Answer: $4 and $2
- Total parts: 2 + 1 = 3
- One part: 6 ÷ 3 = 2
- 2 × 2 = 4 and 1 × 2 = 2
9.Divide $18 in the ratio 5 : 4.
Answer: $10 and $8
- Total parts: 5 + 4 = 9
- One part: 18 ÷ 9 = 2
- 5 × 2 = 10 and 4 × 2 = 8
10.Divide $45 in the ratio 3 : 2.
Answer: $27 and $18
- Total parts: 3 + 2 = 5
- One part: 45 ÷ 5 = 9
- 3 × 9 = 27 and 2 × 9 = 18
11.Divide $8 in the ratio 1 : 1.
Answer: $4 and $4
- Total parts: 1 + 1 = 2
- One part: 8 ÷ 2 = 4
- 1 × 4 = 4 and 1 × 4 = 4
12.Divide $25 in the ratio 3 : 2.
Answer: $15 and $10
- Total parts: 3 + 2 = 5
- One part: 25 ÷ 5 = 5
- 3 × 5 = 15 and 2 × 5 = 10
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.