Year 8 Ratio Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 8 : 18
Answer: 4 : 9
- HCF of 8 and 18 is 2
- Divide both parts by 2
2.Simplify the ratio 36 : 72
Answer: 1 : 2
- HCF of 36 and 72 is 36
- Divide both parts by 36
3.Simplify the ratio 12 : 36
Answer: 1 : 3
- HCF of 12 and 36 is 12
- Divide both parts by 12
4.Simplify the ratio 6 : 10
Answer: 3 : 5
- HCF of 6 and 10 is 2
- Divide both parts by 2
5.Simplify the ratio 42 : 12
Answer: 7 : 2
- HCF of 42 and 12 is 6
- Divide both parts by 6
6.Simplify the ratio 30 : 40
Answer: 3 : 4
- HCF of 30 and 40 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $20 in the ratio 1 : 4.
Answer: $4 and $16
- Total parts: 1 + 4 = 5
- One part: 20 ÷ 5 = 4
- 1 × 4 = 4 and 4 × 4 = 16
8.Divide $84 in the ratio 5 : 2.
Answer: $60 and $24
- Total parts: 5 + 2 = 7
- One part: 84 ÷ 7 = 12
- 5 × 12 = 60 and 2 × 12 = 24
9.Divide $21 in the ratio 2 : 1.
Answer: $14 and $7
- Total parts: 2 + 1 = 3
- One part: 21 ÷ 3 = 7
- 2 × 7 = 14 and 1 × 7 = 7
10.Divide $54 in the ratio 5 : 4.
Answer: $30 and $24
- Total parts: 5 + 4 = 9
- One part: 54 ÷ 9 = 6
- 5 × 6 = 30 and 4 × 6 = 24
11.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
12.Divide $18 in the ratio 1 : 1.
Answer: $9 and $9
- Total parts: 1 + 1 = 2
- One part: 18 ÷ 2 = 9
- 1 × 9 = 9 and 1 × 9 = 9
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.