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 8 and 16 (that is, 8 : 16 = 16 : ?).
- 2.Divide ₹231 between Vivaan and Ananya in the ratio 2 : 9. How much does Vivaan get (in ₹)?
- 3.12 : 3 = 96 : ?
- 4.12 : 5 = 108 : ?
- 5.Divide ₹242 between Arjun and Priya in the ratio 4 : 7. How much does Arjun get (in ₹)?
- 6.2 : 7 = 8 : ?
- 7.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
- 8.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
- 9.Divide ₹264 between Arjun and Pooja in the ratio 2 : 9. How much does Pooja get (in ₹)?
- 10.2 : 5 = 16 : ?
- 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 12.3 : 12 = 12 : ?
- 13.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
- 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 15.4 : 14 = 36 : ?
- 16.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
- 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 18.Divide ₹187 between Ananya and Rohan in the ratio 7 : 4. How much does Ananya get (in ₹)?
- 19.Divide ₹98 between Farhan and Nisha in the ratio 4 : 3. How much does Farhan get (in ₹)?
- 20.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
- 21.Divide ₹275 between Diya and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
- 22.Divide ₹322 between Arjun and Farhan in the ratio 6 : 1. How much does Arjun get (in ₹)?
- 23.Divide ₹544 between Kavya and Vivaan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
- 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 25.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
- 26.Divide ₹494 between Kabir and Meera in the ratio 9 : 4. How much does Kabir get (in ₹)?
- 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 28.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 30.Divide ₹176 between Priya and Ishaan in the ratio 2 : 9. How much does Priya get (in ₹)?
- 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 32.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
- 34.9 : 12 = 72 : ?
- 35.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
- 36.5 : 15 = 20 : ?
- 37.9 : 3 = 63 : ?
- 38.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
- 39.Divide ₹540 between Rohan and Ananya in the ratio 7 : 3. How much does Rohan get (in ₹)?
- 40.Divide ₹308 between Diya and Farhan in the ratio 3 : 8. How much does Diya get (in ₹)?
Answer key
- 32
- 42
- 24
- 45
- 88
- 28
- 6
- 5
- 216
- 40
- 24
- 48
- 48
- 36
- 126
- 6
- 8
- 119
- 56
- 81
- 100
- 276
- 306
- 100
- 12
- 342
- 54
- 150
- 50
- 32
- 112
- 15
- 27
- 96
- 18
- 60
- 21
- 20
- 378
- 84
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