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 ₹144 between Dev and Tara in the ratio 1 : 2. How much does Dev get (in ₹)?
- 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 3.Divide ₹300 between Arjun and Aditya in the ratio 5 : 7. How much does Arjun get (in ₹)?
- 4.3 : 14 = 6 : ?
- 5.Divide ₹590 between Meera and Ananya in the ratio 1 : 9. How much does Meera get (in ₹)?
- 6.Divide ₹108 between Sneha and Pooja in the ratio 1 : 5. How much does Sneha get (in ₹)?
- 7.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 8.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
- 10.10 : 15 = 20 : ?
- 11.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
- 12.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
- 14.6 : 15 = 24 : ?
- 15.9 : 2 = 18 : ?
- 16.5 : 7 = 35 : ?
- 17.3 : 5 = 24 : ?
- 18.Divide ₹320 between Saanvi and Sneha in the ratio 1 : 7. How much does Sneha get (in ₹)?
- 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 20.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
- 21.7 : 8 = 14 : ?
- 22.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 23.Divide ₹510 between Kavya and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
- 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 26.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
- 27.8 : 14 = 56 : ?
- 28.11 : 5 = 44 : ?
- 29.5 : 14 = 15 : ?
- 30.Divide ₹319 between Zoya and Manav in the ratio 4 : 7. How much does Zoya get (in ₹)?
- 31.2 : 7 = 12 : ?
- 32.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
- 33.Divide ₹182 between Sneha and Manav in the ratio 7 : 6. How much does Sneha get (in ₹)?
- 34.3 : 6 = 12 : ?
- 35.Divide ₹470 between Aarav and Rohan in the ratio 3 : 7. How much does Aarav get (in ₹)?
- 36.Divide ₹135 between Rohan and Karan in the ratio 1 : 4. How much does Karan get (in ₹)?
- 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 38.Divide ₹156 between Diya and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
- 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 40.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
Answer key
- 48
- 18
- 125
- 28
- 59
- 18
- 27
- 12
- 54
- 30
- 70
- 24
- 30
- 60
- 4
- 49
- 40
- 280
- 128
- 70
- 16
- 150
- 357
- 32
- 100
- 6
- 98
- 20
- 42
- 116
- 42
- 3
- 98
- 24
- 141
- 108
- 144
- 52
- 36
- 15
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