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 32 : 4
Answer: 8 : 1
- HCF of 32 and 4 is 4
- Divide both parts by 4
2.Simplify the ratio 16 : 4
Answer: 4 : 1
- HCF of 16 and 4 is 4
- Divide both parts by 4
3.Simplify the ratio 9 : 12
Answer: 3 : 4
- HCF of 9 and 12 is 3
- Divide both parts by 3
4.Simplify the ratio 16 : 16
Answer: 1 : 1
- HCF of 16 and 16 is 16
- Divide both parts by 16
5.Simplify the ratio 8 : 2
Answer: 4 : 1
- HCF of 8 and 2 is 2
- Divide both parts by 2
6.Simplify the ratio 36 : 32
Answer: 9 : 8
- HCF of 36 and 32 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $70 in the ratio 4 : 3.
Answer: $40 and $30
- Total parts: 4 + 3 = 7
- One part: 70 ÷ 7 = 10
- 4 × 10 = 40 and 3 × 10 = 30
8.Divide $63 in the ratio 3 : 4.
Answer: $27 and $36
- Total parts: 3 + 4 = 7
- One part: 63 ÷ 7 = 9
- 3 × 9 = 27 and 4 × 9 = 36
9.Divide $72 in the ratio 5 : 4.
Answer: $40 and $32
- Total parts: 5 + 4 = 9
- One part: 72 ÷ 9 = 8
- 5 × 8 = 40 and 4 × 8 = 32
10.Divide $28 in the ratio 3 : 1.
Answer: $21 and $7
- Total parts: 3 + 1 = 4
- One part: 28 ÷ 4 = 7
- 3 × 7 = 21 and 1 × 7 = 7
11.Divide $18 in the ratio 4 : 5.
Answer: $8 and $10
- Total parts: 4 + 5 = 9
- One part: 18 ÷ 9 = 2
- 4 × 2 = 8 and 5 × 2 = 10
12.Divide $72 in the ratio 4 : 4.
Answer: $36 and $36
- Total parts: 4 + 4 = 8
- One part: 72 ÷ 8 = 9
- 4 × 9 = 36 and 4 × 9 = 36
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.