Year 8 Ratio Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 27 : 24
Answer: 9 : 8
- HCF of 27 and 24 is 3
- Divide both parts by 3
2.Simplify the ratio 9 : 27
Answer: 1 : 3
- HCF of 9 and 27 is 9
- Divide both parts by 9
3.Simplify the ratio 14 : 18
Answer: 7 : 9
- HCF of 14 and 18 is 2
- Divide both parts by 2
4.Simplify the ratio 20 : 20
Answer: 1 : 1
- HCF of 20 and 20 is 20
- Divide both parts by 20
5.Simplify the ratio 16 : 18
Answer: 8 : 9
- HCF of 16 and 18 is 2
- Divide both parts by 2
6.Simplify the ratio 9 : 18
Answer: 1 : 2
- HCF of 9 and 18 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $80 in the ratio 4 : 4.
Answer: $40 and $40
- Total parts: 4 + 4 = 8
- One part: 80 ÷ 8 = 10
- 4 × 10 = 40 and 4 × 10 = 40
8.Divide $54 in the ratio 5 : 1.
Answer: $45 and $9
- Total parts: 5 + 1 = 6
- One part: 54 ÷ 6 = 9
- 5 × 9 = 45 and 1 × 9 = 9
9.Divide $44 in the ratio 1 : 3.
Answer: $11 and $33
- Total parts: 1 + 3 = 4
- One part: 44 ÷ 4 = 11
- 1 × 11 = 11 and 3 × 11 = 33
10.Divide $35 in the ratio 1 : 4.
Answer: $7 and $28
- Total parts: 1 + 4 = 5
- One part: 35 ÷ 5 = 7
- 1 × 7 = 7 and 4 × 7 = 28
11.Divide $24 in the ratio 5 : 3.
Answer: $15 and $9
- Total parts: 5 + 3 = 8
- One part: 24 ÷ 8 = 3
- 5 × 3 = 15 and 3 × 3 = 9
12.Divide $63 in the ratio 4 : 3.
Answer: $36 and $27
- Total parts: 4 + 3 = 7
- One part: 63 ÷ 7 = 9
- 4 × 9 = 36 and 3 × 9 = 27
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.