9th Grade Ratio Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Ratio & Rates9th Grade Ratio Worksheet — Level 2 — Answers
Part A: Simplify
1.Simplify the ratio 8 : 36
Answer: 2 : 9
- HCF of 8 and 36 is 4
- Divide both parts by 4
2.Simplify the ratio 28 : 21
Answer: 4 : 3
- HCF of 28 and 21 is 7
- Divide both parts by 7
3.Simplify the ratio 12 : 32
Answer: 3 : 8
- HCF of 12 and 32 is 4
- Divide both parts by 4
4.Simplify the ratio 50 : 90
Answer: 5 : 9
- HCF of 50 and 90 is 10
- Divide both parts by 10
5.Simplify the ratio 70 : 50
Answer: 7 : 5
- HCF of 70 and 50 is 10
- Divide both parts by 10
6.Simplify the ratio 32 : 16
Answer: 2 : 1
- HCF of 32 and 16 is 16
- Divide both parts by 16
Part B: Divide in a ratio
7.Divide $35 in the ratio 2 : 5.
Answer: $10 and $25
- Total parts: 2 + 5 = 7
- One part: 35 ÷ 7 = 5
- 2 × 5 = 10 and 5 × 5 = 25
8.Divide $12 in the ratio 1 : 3.
Answer: $3 and $9
- Total parts: 1 + 3 = 4
- One part: 12 ÷ 4 = 3
- 1 × 3 = 3 and 3 × 3 = 9
9.Divide $24 in the ratio 5 : 3.
Answer: $15 and $9
- Total parts: 5 + 3 = 8
- One part: 24 ÷ 8 = 3
- 5 × 3 = 15 and 3 × 3 = 9
10.Divide $30 in the ratio 1 : 4.
Answer: $6 and $24
- Total parts: 1 + 4 = 5
- One part: 30 ÷ 5 = 6
- 1 × 6 = 6 and 4 × 6 = 24
11.Divide $24 in the ratio 4 : 2.
Answer: $16 and $8
- Total parts: 4 + 2 = 6
- One part: 24 ÷ 6 = 4
- 4 × 4 = 16 and 2 × 4 = 8
12.Divide $64 in the ratio 5 : 3.
Answer: $40 and $24
- Total parts: 5 + 3 = 8
- One part: 64 ÷ 8 = 8
- 5 × 8 = 40 and 3 × 8 = 24
Marking tips
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