Year 8 Ratio Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 55 : 55
Answer: 1 : 1
- HCF of 55 and 55 is 55
- Divide both parts by 55
2.Simplify the ratio 72 : 36
Answer: 2 : 1
- HCF of 72 and 36 is 36
- Divide both parts by 36
3.Simplify the ratio 48 : 60
Answer: 4 : 5
- HCF of 48 and 60 is 12
- Divide both parts by 12
4.Simplify the ratio 5 : 5
Answer: 1 : 1
- HCF of 5 and 5 is 5
- Divide both parts by 5
5.Simplify the ratio 56 : 28
Answer: 2 : 1
- HCF of 56 and 28 is 28
- Divide both parts by 28
6.Simplify the ratio 15 : 12
Answer: 5 : 4
- HCF of 15 and 12 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $48 in the ratio 4 : 4.
Answer: $24 and $24
- Total parts: 4 + 4 = 8
- One part: 48 ÷ 8 = 6
- 4 × 6 = 24 and 4 × 6 = 24
8.Divide $35 in the ratio 4 : 3.
Answer: $20 and $15
- Total parts: 4 + 3 = 7
- One part: 35 ÷ 7 = 5
- 4 × 5 = 20 and 3 × 5 = 15
9.Divide $99 in the ratio 5 : 4.
Answer: $55 and $44
- Total parts: 5 + 4 = 9
- One part: 99 ÷ 9 = 11
- 5 × 11 = 55 and 4 × 11 = 44
10.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
11.Divide $20 in the ratio 1 : 1.
Answer: $10 and $10
- Total parts: 1 + 1 = 2
- One part: 20 ÷ 2 = 10
- 1 × 10 = 10 and 1 × 10 = 10
12.Divide $40 in the ratio 3 : 2.
Answer: $24 and $16
- Total parts: 3 + 2 = 5
- One part: 40 ÷ 5 = 8
- 3 × 8 = 24 and 2 × 8 = 16
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.