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 ₹176 between Meera and Diya in the ratio 4 : 7. How much does Meera get (in ₹)?
- 2.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
- 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 4.9 : 11 = 27 : ?
- 5.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
- 6.Divide ₹406 between Nisha and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
- 7.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
- 8.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 9.8 : 12 = 32 : ?
- 10.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
- 11.Divide ₹154 between Dev and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
- 12.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 13.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
- 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 15.5 : 3 = 35 : ?
- 16.11 : 10 = 55 : ?
- 17.2 : 3 = 8 : ?
- 18.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
- 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 20.Divide ₹896 between Aarav and Rohan in the ratio 9 : 7. How much does Rohan get (in ₹)?
- 21.Divide ₹100 between Kabir and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
- 22.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
- 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 24.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
- 26.7 : 11 = 42 : ?
- 27.12 : 8 = 36 : ?
- 28.9 : 12 = 18 : ?
- 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 30.Divide ₹405 between Meera and Tara in the ratio 4 : 5. How much does Tara get (in ₹)?
- 31.Divide ₹645 between Aarav and Isha in the ratio 8 : 7. How much does Isha get (in ₹)?
- 32.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
- 34.Divide ₹224 between Karan and Kabir in the ratio 5 : 3. How much does Karan get (in ₹)?
- 35.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 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 : 4. There are 28 boys. How many girls are there?
- 38.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 39.3 : 4 = 12 : ?
- 40.Divide ₹266 between Arjun and Zoya in the ratio 4 : 3. How much does Arjun get (in ₹)?
Answer key
- 64
- 56
- 16
- 33
- 72
- 145
- 15
- 21
- 48
- 8
- 42
- 125
- 20
- 8
- 21
- 50
- 12
- 8
- 200
- 392
- 40
- 40
- 72
- 14
- 14
- 66
- 24
- 24
- 80
- 225
- 301
- 48
- 5
- 140
- 54
- 96
- 16
- 128
- 16
- 152
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