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 20 : 16
Answer: 5 : 4
- HCF of 20 and 16 is 4
- Divide both parts by 4
2.Simplify the ratio 24 : 30
Answer: 4 : 5
- HCF of 24 and 30 is 6
- Divide both parts by 6
3.Simplify the ratio 28 : 42
Answer: 2 : 3
- HCF of 28 and 42 is 14
- Divide both parts by 14
4.Simplify the ratio 32 : 64
Answer: 1 : 2
- HCF of 32 and 64 is 32
- Divide both parts by 32
5.Simplify the ratio 36 : 72
Answer: 1 : 2
- HCF of 36 and 72 is 36
- Divide both parts by 36
6.Simplify the ratio 10 : 15
Answer: 2 : 3
- HCF of 10 and 15 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $180 in the ratio 4 : 2.
Answer: $120 and $60
- Total parts: 4 + 2 = 6
- One part: 180 ÷ 6 = 30
- 4 × 30 = 120 and 2 × 30 = 60
8.Divide $63 in the ratio 4 : 5.
Answer: $28 and $35
- Total parts: 4 + 5 = 9
- One part: 63 ÷ 9 = 7
- 4 × 7 = 28 and 5 × 7 = 35
9.Divide $210 in the ratio 5 : 5.
Answer: $105 and $105
- Total parts: 5 + 5 = 10
- One part: 210 ÷ 10 = 21
- 5 × 21 = 105 and 5 × 21 = 105
10.Divide $18 in the ratio 4 : 2.
Answer: $12 and $6
- Total parts: 4 + 2 = 6
- One part: 18 ÷ 6 = 3
- 4 × 3 = 12 and 2 × 3 = 6
11.Divide $152 in the ratio 3 : 5.
Answer: $57 and $95
- Total parts: 3 + 5 = 8
- One part: 152 ÷ 8 = 19
- 3 × 19 = 57 and 5 × 19 = 95
12.Divide $68 in the ratio 3 : 1.
Answer: $51 and $17
- Total parts: 3 + 1 = 4
- One part: 68 ÷ 4 = 17
- 3 × 17 = 51 and 1 × 17 = 17
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.