Year 9 Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 48
Answer: 1 : 2
- HCF of 24 and 48 is 24
- Divide both parts by 24
2.Simplify the ratio 12 : 6
Answer: 2 : 1
- HCF of 12 and 6 is 6
- Divide both parts by 6
3.Simplify the ratio 24 : 9
Answer: 8 : 3
- HCF of 24 and 9 is 3
- Divide both parts by 3
4.Simplify the ratio 77 : 99
Answer: 7 : 9
- HCF of 77 and 99 is 11
- Divide both parts by 11
5.Simplify the ratio 14 : 14
Answer: 1 : 1
- HCF of 14 and 14 is 14
- Divide both parts by 14
6.Simplify the ratio 60 : 50
Answer: 6 : 5
- HCF of 60 and 50 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $14 in the ratio 2 : 5.
Answer: $4 and $10
- Total parts: 2 + 5 = 7
- One part: 14 ÷ 7 = 2
- 2 × 2 = 4 and 5 × 2 = 10
8.Divide $45 in the ratio 1 : 4.
Answer: $9 and $36
- Total parts: 1 + 4 = 5
- One part: 45 ÷ 5 = 9
- 1 × 9 = 9 and 4 × 9 = 36
9.Divide $48 in the ratio 5 : 1.
Answer: $40 and $8
- Total parts: 5 + 1 = 6
- One part: 48 ÷ 6 = 8
- 5 × 8 = 40 and 1 × 8 = 8
10.Divide $21 in the ratio 3 : 4.
Answer: $9 and $12
- Total parts: 3 + 4 = 7
- One part: 21 ÷ 7 = 3
- 3 × 3 = 9 and 4 × 3 = 12
11.Divide $12 in the ratio 1 : 1.
Answer: $6 and $6
- Total parts: 1 + 1 = 2
- One part: 12 ÷ 2 = 6
- 1 × 6 = 6 and 1 × 6 = 6
12.Divide $50 in the ratio 4 : 1.
Answer: $40 and $10
- Total parts: 4 + 1 = 5
- One part: 50 ÷ 5 = 10
- 4 × 10 = 40 and 1 × 10 = 10
Marking tips
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