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 2 : 1. There are 4 boys. How many girls are there?
- 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 5.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
- 6.4 : 2 = 32 : ?
- 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 8.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
- 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 10.Divide ₹340 between Ishaan and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
- 11.Divide ₹70 between Manav and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
- 12.Divide ₹295 between Farhan and Dev in the ratio 4 : 1. How much does Farhan get (in ₹)?
- 13.Divide ₹176 between Vivaan and Isha in the ratio 8 : 3. How much does Vivaan get (in ₹)?
- 14.Divide ₹160 between Manav and Isha in the ratio 3 : 5. How much does Manav get (in ₹)?
- 15.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
- 16.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
- 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 18.12 : 15 = 72 : ?
- 19.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
- 20.Divide ₹240 between Saanvi and Ananya in the ratio 7 : 8. How much does Saanvi get (in ₹)?
- 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 22.Divide ₹598 between Ishaan and Zoya in the ratio 5 : 8. How much does Ishaan get (in ₹)?
- 23.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
- 24.Divide ₹360 between Kavya and Saanvi in the ratio 1 : 7. How much does Kavya get (in ₹)?
- 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 26.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
- 27.Divide ₹189 between Farhan and Ishaan in the ratio 5 : 4. How much does Farhan get (in ₹)?
- 28.9 : 2 = 27 : ?
- 29.6 : 2 = 24 : ?
- 30.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 31.4 : 5 = 36 : ?
- 32.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
- 34.Divide ₹120 between Sneha and Diya in the ratio 7 : 1. How much does Sneha get (in ₹)?
- 35.Divide ₹135 between Meera and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
- 36.2 : 5 = 14 : ?
- 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 38.Divide ₹108 between Rahul and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
- 39.5 : 6 = 20 : ?
- 40.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
Answer key
- 2
- 80
- 63
- 8
- 4
- 16
- 225
- 15
- 100
- 102
- 20
- 236
- 128
- 60
- 24
- 35
- 200
- 90
- 4
- 112
- 175
- 230
- 21
- 45
- 112
- 63
- 105
- 6
- 8
- 21
- 45
- 30
- 30
- 105
- 27
- 35
- 16
- 18
- 24
- 6
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