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 5 : 3. There are 15 boys. How many girls are there?
- 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 3.9 : 7 = 54 : ?
- 4.3 : 9 = 6 : ?
- 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 6.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
- 7.8 : 3 = 72 : ?
- 8.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
- 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 11.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
- 12.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 13.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
- 14.Divide ₹660 between Kavya and Pooja in the ratio 2 : 9. How much does Pooja get (in ₹)?
- 15.8 : 7 = 56 : ?
- 16.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
- 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 18.5 : 13 = 15 : ?
- 19.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
- 20.Divide ₹583 between Farhan and Ishaan in the ratio 9 : 2. How much does Farhan get (in ₹)?
- 21.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
- 23.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
- 24.Divide ₹513 between Meera and Karan in the ratio 4 : 5. How much does Meera get (in ₹)?
- 25.2 : 4 = 4 : ?
- 26.Divide ₹121 between Meera and Kabir in the ratio 4 : 7. How much does Kabir get (in ₹)?
- 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 29.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
- 30.Divide ₹216 between Zoya and Aarav in the ratio 8 : 1. How much does Zoya get (in ₹)?
- 31.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 32.10 : 3 = 30 : ?
- 33.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
- 34.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
- 35.Divide ₹550 between Zoya and Aditya in the ratio 5 : 6. How much does Aditya get (in ₹)?
- 36.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 37.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
- 38.4 : 6 = 36 : ?
- 39.7 : 6 = 49 : ?
- 40.Divide ₹187 between Tara and Ishaan in the ratio 7 : 4. How much does Tara get (in ₹)?
Answer key
- 9
- 200
- 42
- 18
- 45
- 30
- 27
- 36
- 27
- 72
- 21
- 128
- 45
- 540
- 49
- 40
- 125
- 39
- 25
- 477
- 20
- 48
- 60
- 228
- 8
- 77
- 48
- 100
- 10
- 192
- 225
- 9
- 40
- 63
- 300
- 96
- 32
- 54
- 42
- 119
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