Year 8 Ratio Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 27 : 9
Answer: 3 : 1
- HCF of 27 and 9 is 9
- Divide both parts by 9
2.Simplify the ratio 33 : 66
Answer: 1 : 2
- HCF of 33 and 66 is 33
- Divide both parts by 33
3.Simplify the ratio 24 : 32
Answer: 3 : 4
- HCF of 24 and 32 is 8
- Divide both parts by 8
4.Simplify the ratio 24 : 72
Answer: 1 : 3
- HCF of 24 and 72 is 24
- Divide both parts by 24
5.Simplify the ratio 20 : 15
Answer: 4 : 3
- HCF of 20 and 15 is 5
- Divide both parts by 5
6.Simplify the ratio 18 : 3
Answer: 6 : 1
- HCF of 18 and 3 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $210 in the ratio 3 : 4.
Answer: $90 and $120
- Total parts: 3 + 4 = 7
- One part: 210 ÷ 7 = 30
- 3 × 30 = 90 and 4 × 30 = 120
8.Divide $204 in the ratio 4 : 2.
Answer: $136 and $68
- Total parts: 4 + 2 = 6
- One part: 204 ÷ 6 = 34
- 4 × 34 = 136 and 2 × 34 = 68
9.Divide $56 in the ratio 4 : 3.
Answer: $32 and $24
- Total parts: 4 + 3 = 7
- One part: 56 ÷ 7 = 8
- 4 × 8 = 32 and 3 × 8 = 24
10.Divide $85 in the ratio 2 : 3.
Answer: $34 and $51
- Total parts: 2 + 3 = 5
- One part: 85 ÷ 5 = 17
- 2 × 17 = 34 and 3 × 17 = 51
11.Divide $180 in the ratio 5 : 4.
Answer: $100 and $80
- Total parts: 5 + 4 = 9
- One part: 180 ÷ 9 = 20
- 5 × 20 = 100 and 4 × 20 = 80
12.Divide $238 in the ratio 2 : 5.
Answer: $68 and $170
- Total parts: 2 + 5 = 7
- One part: 238 ÷ 7 = 34
- 2 × 34 = 68 and 5 × 34 = 170
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.