Year 10 Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Ratio & RatesYear 10 Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 48
Answer: 1 : 1
- HCF of 48 and 48 is 48
- Divide both parts by 48
2.Simplify the ratio 24 : 21
Answer: 8 : 7
- HCF of 24 and 21 is 3
- Divide both parts by 3
3.Simplify the ratio 7 : 49
Answer: 1 : 7
- HCF of 7 and 49 is 7
- Divide both parts by 7
4.Simplify the ratio 24 : 20
Answer: 6 : 5
- HCF of 24 and 20 is 4
- Divide both parts by 4
5.Simplify the ratio 45 : 36
Answer: 5 : 4
- HCF of 45 and 36 is 9
- Divide both parts by 9
6.Simplify the ratio 36 : 54
Answer: 2 : 3
- HCF of 36 and 54 is 18
- Divide both parts by 18
Part B: Divide in a ratio
7.Divide $35 in the ratio 4 : 1.
Answer: $28 and $7
- Total parts: 4 + 1 = 5
- One part: 35 ÷ 5 = 7
- 4 × 7 = 28 and 1 × 7 = 7
8.Divide $145 in the ratio 3 : 2.
Answer: $87 and $58
- Total parts: 3 + 2 = 5
- One part: 145 ÷ 5 = 29
- 3 × 29 = 87 and 2 × 29 = 58
9.Divide $234 in the ratio 4 : 2.
Answer: $156 and $78
- Total parts: 4 + 2 = 6
- One part: 234 ÷ 6 = 39
- 4 × 39 = 156 and 2 × 39 = 78
10.Divide $140 in the ratio 5 : 2.
Answer: $100 and $40
- Total parts: 5 + 2 = 7
- One part: 140 ÷ 7 = 20
- 5 × 20 = 100 and 2 × 20 = 40
11.Divide $84 in the ratio 1 : 2.
Answer: $28 and $56
- Total parts: 1 + 2 = 3
- One part: 84 ÷ 3 = 28
- 1 × 28 = 28 and 2 × 28 = 56
12.Divide $36 in the ratio 4 : 2.
Answer: $24 and $12
- Total parts: 4 + 2 = 6
- One part: 36 ÷ 6 = 6
- 4 × 6 = 24 and 2 × 6 = 12
Marking tips
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