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.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 2.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
- 3.Divide ₹138 between Vivaan and Saanvi in the ratio 1 : 2. How much does Vivaan get (in ₹)?
- 4.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
- 6.Divide ₹198 between Aditya and Tara in the ratio 1 : 5. How much does Aditya get (in ₹)?
- 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 8.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
- 10.6 : 14 = 12 : ?
- 11.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 12.Divide ₹286 between Diya and Pooja in the ratio 2 : 9. How much does Diya get (in ₹)?
- 13.Divide ₹54 between Ishaan and Arjun in the ratio 5 : 1. How much does Ishaan get (in ₹)?
- 14.Divide ₹560 between Rahul and Ishaan in the ratio 3 : 7. How much does Rahul get (in ₹)?
- 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 16.Divide ₹196 between Aarav and Diya in the ratio 1 : 6. How much does Aarav get (in ₹)?
- 17.12 : 8 = 72 : ?
- 18.12 : 13 = 24 : ?
- 19.5 : 12 = 45 : ?
- 20.11 : 5 = 44 : ?
- 21.Divide ₹116 between Ishaan and Aarav in the ratio 1 : 3. How much does Ishaan get (in ₹)?
- 22.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 23.Divide ₹560 between Meera and Arjun in the ratio 7 : 3. How much does Meera get (in ₹)?
- 24.Divide ₹476 between Rohan and Dev in the ratio 8 : 9. How much does Rohan get (in ₹)?
- 25.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 26.2 : 9 = 8 : ?
- 27.Divide ₹216 between Aarav and Diya in the ratio 5 : 7. How much does Aarav get (in ₹)?
- 28.Divide ₹187 between Rohan and Ishaan in the ratio 4 : 7. How much does Rohan get (in ₹)?
- 29.Divide ₹238 between Kabir and Aditya in the ratio 5 : 2. How much does Aditya get (in ₹)?
- 30.7 : 4 = 63 : ?
- 31.Divide ₹612 between Diya and Arjun in the ratio 9 : 8. How much does Arjun get (in ₹)?
- 32.Divide ₹138 between Tara and Ishaan in the ratio 1 : 2. How much does Tara get (in ₹)?
- 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 35.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
- 36.12 : 15 = 72 : ?
- 37.Divide ₹384 between Farhan and Priya in the ratio 1 : 7. How much does Priya get (in ₹)?
- 38.4 : 3 = 32 : ?
- 39.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
- 40.4 : 5 = 32 : ?
Answer key
- 36
- 50
- 46
- 63
- 2
- 33
- 96
- 25
- 9
- 28
- 125
- 52
- 45
- 168
- 150
- 28
- 48
- 26
- 108
- 20
- 29
- 200
- 392
- 224
- 80
- 36
- 90
- 68
- 68
- 36
- 288
- 46
- 225
- 81
- 63
- 90
- 336
- 24
- 20
- 40
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