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 36 : 20
Answer: 9 : 5
- HCF of 36 and 20 is 4
- Divide both parts by 4
2.Simplify the ratio 8 : 20
Answer: 2 : 5
- HCF of 8 and 20 is 4
- Divide both parts by 4
3.Simplify the ratio 2 : 2
Answer: 1 : 1
- HCF of 2 and 2 is 2
- Divide both parts by 2
4.Simplify the ratio 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
5.Simplify the ratio 16 : 8
Answer: 2 : 1
- HCF of 16 and 8 is 8
- Divide both parts by 8
6.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $12 in the ratio 2 : 1.
Answer: $8 and $4
- Total parts: 2 + 1 = 3
- One part: 12 ÷ 3 = 4
- 2 × 4 = 8 and 1 × 4 = 4
8.Divide $27 in the ratio 5 : 4.
Answer: $15 and $12
- Total parts: 5 + 4 = 9
- One part: 27 ÷ 9 = 3
- 5 × 3 = 15 and 4 × 3 = 12
9.Divide $28 in the ratio 3 : 4.
Answer: $12 and $16
- Total parts: 3 + 4 = 7
- One part: 28 ÷ 7 = 4
- 3 × 4 = 12 and 4 × 4 = 16
10.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
11.Divide $90 in the ratio 5 : 5.
Answer: $45 and $45
- Total parts: 5 + 5 = 10
- One part: 90 ÷ 10 = 9
- 5 × 9 = 45 and 5 × 9 = 45
12.Divide $15 in the ratio 2 : 1.
Answer: $10 and $5
- Total parts: 2 + 1 = 3
- One part: 15 ÷ 3 = 5
- 2 × 5 = 10 and 1 × 5 = 5
Marking tips
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