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 8 : 7. There are 24 boys. How many girls are there?
- 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 3.6 : 11 = 18 : ?
- 4.Divide ₹765 between Isha and Ishaan in the ratio 7 : 8. How much does Isha get (in ₹)?
- 5.Divide ₹115 between Aditya and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
- 6.3 : 4 = 21 : ?
- 7.Divide ₹273 between Zoya and Ishaan in the ratio 7 : 6. How much does Zoya get (in ₹)?
- 8.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
- 9.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 10.Divide ₹126 between Vivaan and Nisha in the ratio 1 : 6. How much does Nisha get (in ₹)?
- 11.10 : 11 = 30 : ?
- 12.Divide ₹153 between Tara and Karan in the ratio 7 : 2. How much does Tara get (in ₹)?
- 13.Divide ₹754 between Sneha and Arjun in the ratio 9 : 4. How much does Arjun get (in ₹)?
- 14.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
- 15.Divide ₹533 between Nisha and Rohan in the ratio 8 : 5. How much does Nisha get (in ₹)?
- 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 17.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
- 18.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
- 19.Divide ₹370 between Kabir and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?
- 20.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
- 21.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 22.Divide ₹95 between Kavya and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
- 23.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 24.Divide ₹468 between Saanvi and Rohan in the ratio 8 : 5. How much does Saanvi get (in ₹)?
- 25.4 : 13 = 28 : ?
- 26.Divide ₹117 between Zoya and Farhan in the ratio 5 : 8. How much does Farhan get (in ₹)?
- 27.Divide ₹209 between Isha and Farhan in the ratio 9 : 2. How much does Isha get (in ₹)?
- 28.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
- 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 30.2 : 11 = 10 : ?
- 31.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
- 32.9 : 2 = 81 : ?
- 33.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
- 34.Divide ₹216 between Isha and Tara in the ratio 7 : 1. How much does Isha get (in ₹)?
- 35.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
- 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 37.Divide ₹66 between Isha and Ishaan in the ratio 9 : 2. How much does Ishaan get (in ₹)?
- 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 39.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
- 40.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
Answer key
- 21
- 12
- 33
- 357
- 92
- 28
- 147
- 54
- 225
- 108
- 33
- 119
- 232
- 2
- 328
- 54
- 12
- 20
- 37
- 14
- 21
- 57
- 81
- 288
- 91
- 72
- 171
- 3
- 24
- 55
- 25
- 18
- 14
- 189
- 49
- 50
- 12
- 80
- 20
- 64
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