Year 8 Ratio Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 3
Answer: 8 : 1
- HCF of 24 and 3 is 3
- Divide both parts by 3
2.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
3.Simplify the ratio 16 : 8
Answer: 2 : 1
- HCF of 16 and 8 is 8
- Divide both parts by 8
4.Simplify the ratio 20 : 32
Answer: 5 : 8
- HCF of 20 and 32 is 4
- Divide both parts by 4
5.Simplify the ratio 6 : 16
Answer: 3 : 8
- HCF of 6 and 16 is 2
- Divide both parts by 2
6.Simplify the ratio 12 : 6
Answer: 2 : 1
- HCF of 12 and 6 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $16 in the ratio 2 : 2.
Answer: $8 and $8
- Total parts: 2 + 2 = 4
- One part: 16 ÷ 4 = 4
- 2 × 4 = 8 and 2 × 4 = 8
8.Divide $21 in the ratio 2 : 1.
Answer: $14 and $7
- Total parts: 2 + 1 = 3
- One part: 21 ÷ 3 = 7
- 2 × 7 = 14 and 1 × 7 = 7
9.Divide $24 in the ratio 2 : 1.
Answer: $16 and $8
- Total parts: 2 + 1 = 3
- One part: 24 ÷ 3 = 8
- 2 × 8 = 16 and 1 × 8 = 8
10.Divide $42 in the ratio 2 : 5.
Answer: $12 and $30
- Total parts: 2 + 5 = 7
- One part: 42 ÷ 7 = 6
- 2 × 6 = 12 and 5 × 6 = 30
11.Divide $77 in the ratio 5 : 2.
Answer: $55 and $22
- Total parts: 5 + 2 = 7
- One part: 77 ÷ 7 = 11
- 5 × 11 = 55 and 2 × 11 = 22
12.Divide $63 in the ratio 2 : 5.
Answer: $18 and $45
- Total parts: 2 + 5 = 7
- One part: 63 ÷ 7 = 9
- 2 × 9 = 18 and 5 × 9 = 45
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.