Year 10 Ratio Worksheet — Level 1 — 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 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 21
Answer: 8 : 7
- HCF of 24 and 21 is 3
- Divide both parts by 3
2.Simplify the ratio 32 : 24
Answer: 4 : 3
- HCF of 32 and 24 is 8
- Divide both parts by 8
3.Simplify the ratio 8 : 24
Answer: 1 : 3
- HCF of 8 and 24 is 8
- Divide both parts by 8
4.Simplify the ratio 10 : 16
Answer: 5 : 8
- HCF of 10 and 16 is 2
- Divide both parts by 2
5.Simplify the ratio 18 : 4
Answer: 9 : 2
- HCF of 18 and 4 is 2
- Divide both parts by 2
6.Simplify the ratio 2 : 6
Answer: 1 : 3
- HCF of 2 and 6 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $14 in the ratio 5 : 2.
Answer: $10 and $4
- Total parts: 5 + 2 = 7
- One part: 14 ÷ 7 = 2
- 5 × 2 = 10 and 2 × 2 = 4
8.Divide $80 in the ratio 4 : 4.
Answer: $40 and $40
- Total parts: 4 + 4 = 8
- One part: 80 ÷ 8 = 10
- 4 × 10 = 40 and 4 × 10 = 40
9.Divide $15 in the ratio 1 : 2.
Answer: $5 and $10
- Total parts: 1 + 2 = 3
- One part: 15 ÷ 3 = 5
- 1 × 5 = 5 and 2 × 5 = 10
10.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
11.Divide $18 in the ratio 3 : 3.
Answer: $9 and $9
- Total parts: 3 + 3 = 6
- One part: 18 ÷ 6 = 3
- 3 × 3 = 9 and 3 × 3 = 9
12.Divide $9 in the ratio 2 : 1.
Answer: $6 and $3
- Total parts: 2 + 1 = 3
- One part: 9 ÷ 3 = 3
- 2 × 3 = 6 and 1 × 3 = 3
Marking tips
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- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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