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 ₹35 between Sneha and Saanvi in the ratio 2 : 3. How much does Sneha get (in ₹)?
- 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 3.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
- 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 5.5 : 14 = 30 : ?
- 6.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
- 7.Divide ₹540 between Rohan and Rahul in the ratio 7 : 8. How much does Rahul get (in ₹)?
- 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 10.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
- 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 12.2 : 13 = 12 : ?
- 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 14.Divide ₹420 between Dev and Tara in the ratio 6 : 1. How much does Dev get (in ₹)?
- 15.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
- 16.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
- 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 18.9 : 4 = 81 : ?
- 19.3 : 11 = 27 : ?
- 20.9 : 2 = 63 : ?
- 21.Divide ₹944 between Ananya and Diya in the ratio 9 : 7. How much does Ananya get (in ₹)?
- 22.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
- 23.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
- 24.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
- 26.4 : 3 = 12 : ?
- 27.Divide ₹826 between Sneha and Isha in the ratio 5 : 9. How much does Sneha get (in ₹)?
- 28.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
- 29.Divide ₹715 between Rohan and Ananya in the ratio 8 : 5. How much does Ananya get (in ₹)?
- 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 31.12 : 8 = 72 : ?
- 32.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
- 33.3 : 9 = 18 : ?
- 34.Divide ₹168 between Rahul and Dev in the ratio 1 : 3. How much does Rahul get (in ₹)?
- 35.Divide ₹230 between Aarav and Kavya in the ratio 1 : 4. How much does Aarav get (in ₹)?
- 36.3 : 4 = 24 : ?
- 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 38.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
- 39.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
- 40.Divide ₹735 between Farhan and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?
Answer key
- 14
- 175
- 7
- 100
- 84
- 6
- 288
- 64
- 36
- 24
- 150
- 78
- 12
- 360
- 18
- 9
- 112
- 36
- 99
- 14
- 531
- 4
- 14
- 10
- 36
- 9
- 295
- 10
- 275
- 24
- 48
- 9
- 54
- 42
- 46
- 32
- 20
- 6
- 4
- 392
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