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 24 : 20
Answer: 6 : 5
- HCF of 24 and 20 is 4
- Divide both parts by 4
2.Simplify the ratio 18 : 18
Answer: 1 : 1
- HCF of 18 and 18 is 18
- Divide both parts by 18
3.Simplify the ratio 8 : 8
Answer: 1 : 1
- HCF of 8 and 8 is 8
- Divide both parts by 8
4.Simplify the ratio 4 : 14
Answer: 2 : 7
- HCF of 4 and 14 is 2
- Divide both parts by 2
5.Simplify the ratio 12 : 4
Answer: 3 : 1
- HCF of 12 and 4 is 4
- Divide both parts by 4
6.Simplify the ratio 12 : 28
Answer: 3 : 7
- HCF of 12 and 28 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $24 in the ratio 1 : 2.
Answer: $8 and $16
- Total parts: 1 + 2 = 3
- One part: 24 ÷ 3 = 8
- 1 × 8 = 8 and 2 × 8 = 16
8.Divide $18 in the ratio 3 : 3.
Answer: $9 and $9
- Total parts: 3 + 3 = 6
- One part: 18 ÷ 6 = 3
- 3 × 3 = 9 and 3 × 3 = 9
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 $72 in the ratio 2 : 4.
Answer: $24 and $48
- Total parts: 2 + 4 = 6
- One part: 72 ÷ 6 = 12
- 2 × 12 = 24 and 4 × 12 = 48
11.Divide $16 in the ratio 1 : 1.
Answer: $8 and $8
- Total parts: 1 + 1 = 2
- One part: 16 ÷ 2 = 8
- 1 × 8 = 8 and 1 × 8 = 8
12.Divide $50 in the ratio 1 : 4.
Answer: $10 and $40
- Total parts: 1 + 4 = 5
- One part: 50 ÷ 5 = 10
- 1 × 10 = 10 and 4 × 10 = 40
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.