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.Divide ₹477 between Nisha and Aarav in the ratio 7 : 2. How much does Nisha get (in ₹)?
- 2.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
- 3.8 : 14 = 56 : ?
- 4.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
- 5.7 : 5 = 35 : ?
- 6.5 : 9 = 10 : ?
- 7.11 : 5 = 22 : ?
- 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 9.7 : 10 = 56 : ?
- 10.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
- 11.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
- 12.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 13.4 : 8 = 16 : ?
- 14.2 : 9 = 14 : ?
- 15.8 : 11 = 48 : ?
- 16.11 : 2 = 44 : ?
- 17.Divide ₹616 between Kavya and Kabir in the ratio 5 : 9. How much does Kavya get (in ₹)?
- 18.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 19.6 : 3 = 54 : ?
- 20.Divide ₹264 between Ishaan and Kavya in the ratio 9 : 2. How much does Kavya get (in ₹)?
- 21.3 : 2 = 15 : ?
- 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 23.7 : 15 = 21 : ?
- 24.Divide ₹455 between Ananya and Tara in the ratio 7 : 6. How much does Tara get (in ₹)?
- 25.7 : 6 = 35 : ?
- 26.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 27.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
- 28.5 : 4 = 25 : ?
- 29.4 : 2 = 28 : ?
- 30.Divide ₹256 between Meera and Rohan in the ratio 7 : 9. How much does Rohan get (in ₹)?
- 31.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 32.4 : 8 = 8 : ?
- 33.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
- 34.Divide ₹117 between Isha and Karan in the ratio 8 : 5. How much does Isha get (in ₹)?
- 35.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
- 36.3 : 8 = 12 : ?
- 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 38.Divide ₹48 between Meera and Tara in the ratio 3 : 5. How much does Meera get (in ₹)?
- 39.Divide ₹54 between Kabir and Diya in the ratio 1 : 8. How much does Kabir get (in ₹)?
- 40.Divide ₹63 between Meera and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
Answer key
- 371
- 49
- 98
- 40
- 25
- 18
- 10
- 28
- 80
- 56
- 35
- 18
- 32
- 63
- 66
- 8
- 220
- 150
- 27
- 48
- 10
- 80
- 45
- 210
- 30
- 32
- 60
- 20
- 14
- 144
- 125
- 16
- 27
- 72
- 2
- 32
- 8
- 18
- 6
- 36
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