Year 8 Ratio Worksheet — Level 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 — Answers
Part A: Simplify
1.Simplify the ratio 60 : 84
Answer: 5 : 7
- HCF of 60 and 84 is 12
- Divide both parts by 12
2.Simplify the ratio 60 : 72
Answer: 5 : 6
- HCF of 60 and 72 is 12
- Divide both parts by 12
3.Simplify the ratio 3 : 21
Answer: 1 : 7
- HCF of 3 and 21 is 3
- Divide both parts by 3
4.Simplify the ratio 30 : 45
Answer: 2 : 3
- HCF of 30 and 45 is 15
- Divide both parts by 15
5.Simplify the ratio 49 : 56
Answer: 7 : 8
- HCF of 49 and 56 is 7
- Divide both parts by 7
6.Simplify the ratio 18 : 18
Answer: 1 : 1
- HCF of 18 and 18 is 18
- Divide both parts by 18
Part B: Divide in a ratio
7.Divide $63 in the ratio 1 : 2.
Answer: $21 and $42
- Total parts: 1 + 2 = 3
- One part: 63 ÷ 3 = 21
- 1 × 21 = 21 and 2 × 21 = 42
8.Divide $80 in the ratio 3 : 2.
Answer: $48 and $32
- Total parts: 3 + 2 = 5
- One part: 80 ÷ 5 = 16
- 3 × 16 = 48 and 2 × 16 = 32
9.Divide $30 in the ratio 5 : 1.
Answer: $25 and $5
- Total parts: 5 + 1 = 6
- One part: 30 ÷ 6 = 5
- 5 × 5 = 25 and 1 × 5 = 5
10.Divide $128 in the ratio 1 : 3.
Answer: $32 and $96
- Total parts: 1 + 3 = 4
- One part: 128 ÷ 4 = 32
- 1 × 32 = 32 and 3 × 32 = 96
11.Divide $42 in the ratio 4 : 3.
Answer: $24 and $18
- Total parts: 4 + 3 = 7
- One part: 42 ÷ 7 = 6
- 4 × 6 = 24 and 3 × 6 = 18
12.Divide $120 in the ratio 2 : 2.
Answer: $60 and $60
- Total parts: 2 + 2 = 4
- One part: 120 ÷ 4 = 30
- 2 × 30 = 60 and 2 × 30 = 60
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.