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 ₹392 between Rahul and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?
- 2.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
- 3.10 : 2 = 50 : ?
- 4.2 : 13 = 12 : ?
- 5.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
- 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 7.11 : 12 = 99 : ?
- 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 10.Divide ₹660 between Ananya and Tara in the ratio 6 : 5. How much does Tara get (in ₹)?
- 11.6 : 11 = 36 : ?
- 12.Divide ₹100 between Diya and Pooja in the ratio 1 : 9. How much does Diya get (in ₹)?
- 13.Divide ₹49 between Aarav and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
- 14.Divide ₹656 between Isha and Pooja in the ratio 7 : 9. How much does Pooja get (in ₹)?
- 15.5 : 10 = 10 : ?
- 16.9 : 8 = 81 : ?
- 17.2 : 4 = 6 : ?
- 18.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
- 19.6 : 2 = 18 : ?
- 20.9 : 5 = 81 : ?
- 21.Divide ₹42 between Farhan and Priya in the ratio 3 : 4. How much does Farhan get (in ₹)?
- 22.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
- 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 24.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
- 26.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
- 27.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
- 28.9 : 8 = 18 : ?
- 29.11 : 13 = 88 : ?
- 30.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
- 31.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
- 32.12 : 3 = 48 : ?
- 33.Divide ₹561 between Rahul and Arjun in the ratio 9 : 8. How much does Rahul get (in ₹)?
- 34.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
- 35.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
- 36.Divide ₹160 between Rohan and Pooja in the ratio 1 : 4. How much does Rohan get (in ₹)?
- 37.4 : 13 = 16 : ?
- 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 39.5 : 3 = 45 : ?
- 40.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
Answer key
- 147
- 54
- 10
- 78
- 24
- 8
- 108
- 48
- 18
- 300
- 66
- 10
- 35
- 369
- 20
- 72
- 12
- 2
- 6
- 45
- 18
- 21
- 16
- 2
- 28
- 12
- 80
- 16
- 104
- 8
- 42
- 12
- 297
- 8
- 6
- 32
- 52
- 12
- 27
- 35
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