Year 10 Ratio Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Ratio & RatesYear 10 Ratio Worksheet — Level 1 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 4
Answer: 1 : 2
- HCF of 2 and 4 is 2
- Divide both parts by 2
2.Simplify the ratio 8 : 32
Answer: 1 : 4
- HCF of 8 and 32 is 8
- Divide both parts by 8
3.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
4.Simplify the ratio 14 : 8
Answer: 7 : 4
- HCF of 14 and 8 is 2
- Divide both parts by 2
5.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
6.Simplify the ratio 14 : 6
Answer: 7 : 3
- HCF of 14 and 6 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $12 in the ratio 2 : 2.
Answer: $6 and $6
- Total parts: 2 + 2 = 4
- One part: 12 ÷ 4 = 3
- 2 × 3 = 6 and 2 × 3 = 6
8.Divide $60 in the ratio 1 : 5.
Answer: $10 and $50
- Total parts: 1 + 5 = 6
- One part: 60 ÷ 6 = 10
- 1 × 10 = 10 and 5 × 10 = 50
9.Divide $50 in the ratio 2 : 3.
Answer: $20 and $30
- Total parts: 2 + 3 = 5
- One part: 50 ÷ 5 = 10
- 2 × 10 = 20 and 3 × 10 = 30
10.Divide $30 in the ratio 4 : 1.
Answer: $24 and $6
- Total parts: 4 + 1 = 5
- One part: 30 ÷ 5 = 6
- 4 × 6 = 24 and 1 × 6 = 6
11.Divide $24 in the ratio 4 : 2.
Answer: $16 and $8
- Total parts: 4 + 2 = 6
- One part: 24 ÷ 6 = 4
- 4 × 4 = 16 and 2 × 4 = 8
12.Divide $16 in the ratio 3 : 1.
Answer: $12 and $4
- Total parts: 3 + 1 = 4
- One part: 16 ÷ 4 = 4
- 3 × 4 = 12 and 1 × 4 = 4
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.