Ratio and Proportion Worksheet
The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).
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- 1.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
- 3.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
- 4.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
- 6.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 8.7 : 4 = 56 : ?
- 9.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
- 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 11.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
- 12.Divide ₹231 between Meera and Aarav in the ratio 4 : 7. How much does Aarav get (in ₹)?
- 13.9 : 8 = 45 : ?
- 14.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
- 15.5 : 8 = 20 : ?
- 16.8 : 9 = 48 : ?
- 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 18.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
- 19.Divide ₹92 between Rohan and Farhan in the ratio 3 : 1. How much does Farhan get (in ₹)?
- 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 21.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
- 22.5 : 3 = 20 : ?
- 23.7 : 2 = 42 : ?
- 24.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
- 25.3 : 13 = 18 : ?
- 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 28.Divide ₹252 between Dev and Saanvi in the ratio 5 : 2. How much does Saanvi get (in ₹)?
- 29.4 : 8 = 36 : ?
- 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 31.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
- 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 33.7 : 15 = 28 : ?
- 34.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
- 35.8 : 12 = 16 : ?
- 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 37.Divide ₹360 between Ishaan and Pooja in the ratio 3 : 7. How much does Ishaan get (in ₹)?
- 38.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
- 39.4 : 12 = 20 : ?
- 40.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
Answer key
- 4
- 25
- 50
- 6
- 2
- 112
- 100
- 32
- 30
- 175
- 63
- 147
- 40
- 36
- 32
- 54
- 50
- 15
- 23
- 36
- 40
- 12
- 12
- 30
- 78
- 27
- 28
- 72
- 72
- 54
- 10
- 81
- 60
- 40
- 24
- 32
- 108
- 6
- 60
- 25
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