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 4 : 5. There are 12 boys. How many girls are there?
- 2.Divide ₹360 between Rahul and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
- 3.Divide ₹299 between Sneha and Kavya in the ratio 8 : 5. How much does Sneha get (in ₹)?
- 4.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
- 6.12 : 5 = 60 : ?
- 7.Divide ₹84 between Arjun and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
- 8.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 10.Divide ₹756 between Dev and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
- 11.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
- 12.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
- 13.Divide ₹156 between Arjun and Dev in the ratio 9 : 4. How much does Arjun get (in ₹)?
- 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 15.Divide ₹297 between Tara and Sneha in the ratio 6 : 5. How much does Tara get (in ₹)?
- 16.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
- 17.9 : 5 = 18 : ?
- 18.Divide ₹495 between Karan and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
- 19.Divide ₹510 between Meera and Arjun in the ratio 7 : 3. How much does Meera get (in ₹)?
- 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 21.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
- 23.Divide ₹189 between Farhan and Zoya in the ratio 8 : 1. How much does Farhan get (in ₹)?
- 24.Divide ₹78 between Vivaan and Rohan in the ratio 7 : 6. How much does Rohan get (in ₹)?
- 25.Divide ₹77 between Meera and Rahul in the ratio 7 : 4. How much does Meera get (in ₹)?
- 26.Divide ₹517 between Farhan and Aditya in the ratio 2 : 9. How much does Aditya get (in ₹)?
- 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 28.Divide ₹174 between Pooja and Rohan in the ratio 5 : 1. How much does Pooja get (in ₹)?
- 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 30.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
- 31.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
- 32.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
- 33.Divide ₹153 between Rohan and Farhan in the ratio 1 : 2. How much does Rohan get (in ₹)?
- 34.5 : 14 = 45 : ?
- 35.Divide ₹414 between Ananya and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
- 36.Divide ₹150 between Farhan and Tara in the ratio 1 : 9. How much does Farhan get (in ₹)?
- 37.10 : 4 = 60 : ?
- 38.5 : 2 = 20 : ?
- 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 40.5 : 14 = 10 : ?
Answer key
- 15
- 200
- 184
- 28
- 3
- 25
- 21
- 200
- 96
- 270
- 35
- 40
- 108
- 27
- 162
- 18
- 10
- 55
- 357
- 8
- 18
- 10
- 168
- 36
- 49
- 423
- 24
- 145
- 32
- 18
- 12
- 54
- 51
- 126
- 322
- 15
- 24
- 8
- 32
- 28
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