Year 9 Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 1 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 6
Answer: 4 : 1
- HCF of 24 and 6 is 6
- Divide both parts by 6
2.Simplify the ratio 10 : 4
Answer: 5 : 2
- HCF of 10 and 4 is 2
- Divide both parts by 2
3.Simplify the ratio 6 : 21
Answer: 2 : 7
- HCF of 6 and 21 is 3
- Divide both parts by 3
4.Simplify the ratio 2 : 6
Answer: 1 : 3
- HCF of 2 and 6 is 2
- Divide both parts by 2
5.Simplify the ratio 3 : 12
Answer: 1 : 4
- HCF of 3 and 12 is 3
- Divide both parts by 3
6.Simplify the ratio 18 : 15
Answer: 6 : 5
- HCF of 18 and 15 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $56 in the ratio 4 : 3.
Answer: $32 and $24
- Total parts: 4 + 3 = 7
- One part: 56 ÷ 7 = 8
- 4 × 8 = 32 and 3 × 8 = 24
8.Divide $42 in the ratio 3 : 3.
Answer: $21 and $21
- Total parts: 3 + 3 = 6
- One part: 42 ÷ 6 = 7
- 3 × 7 = 21 and 3 × 7 = 21
9.Divide $40 in the ratio 3 : 1.
Answer: $30 and $10
- Total parts: 3 + 1 = 4
- One part: 40 ÷ 4 = 10
- 3 × 10 = 30 and 1 × 10 = 10
10.Divide $60 in the ratio 5 : 1.
Answer: $50 and $10
- Total parts: 5 + 1 = 6
- One part: 60 ÷ 6 = 10
- 5 × 10 = 50 and 1 × 10 = 10
11.Divide $14 in the ratio 4 : 3.
Answer: $8 and $6
- Total parts: 4 + 3 = 7
- One part: 14 ÷ 7 = 2
- 4 × 2 = 8 and 3 × 2 = 6
12.Divide $12 in the ratio 3 : 3.
Answer: $6 and $6
- Total parts: 3 + 3 = 6
- One part: 12 ÷ 6 = 2
- 3 × 2 = 6 and 3 × 2 = 6
Marking tips
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