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).
NameDateTime takenScore ___ / 40
- 1.11 : 8 = 88 : ?
- 2.Divide ₹210 between Rohan and Isha in the ratio 1 : 6. How much does Rohan get (in ₹)?
- 3.Divide ₹105 between Aarav and Meera in the ratio 2 : 3. How much does Aarav get (in ₹)?
- 4.Divide ₹72 between Vivaan and Priya in the ratio 5 : 4. How much does Priya get (in ₹)?
- 5.9 : 2 = 18 : ?
- 6.2 : 8 = 18 : ?
- 7.Divide ₹275 between Dev and Kavya in the ratio 9 : 2. How much does Dev get (in ₹)?
- 8.7 : 13 = 28 : ?
- 9.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
- 10.3 : 11 = 21 : ?
- 11.Divide ₹754 between Sneha and Aarav in the ratio 7 : 6. How much does Sneha get (in ₹)?
- 12.Divide ₹295 between Karan and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
- 13.11 : 2 = 88 : ?
- 14.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
- 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 16.12 : 6 = 108 : ?
- 17.6 : 14 = 54 : ?
- 18.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
- 19.9 : 14 = 45 : ?
- 20.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
- 21.Divide ₹171 between Sneha and Manav in the ratio 1 : 8. How much does Sneha get (in ₹)?
- 22.Divide ₹400 between Rohan and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
- 23.Divide ₹189 between Sneha and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
- 24.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
- 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 26.2 : 8 = 16 : ?
- 27.4 : 14 = 28 : ?
- 28.Divide ₹336 between Rahul and Zoya in the ratio 3 : 4. How much does Rahul get (in ₹)?
- 29.Divide ₹765 between Nisha and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
- 30.4 : 9 = 8 : ?
- 31.Divide ₹561 between Meera and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
- 32.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
- 33.Divide ₹351 between Farhan and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
- 34.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
- 35.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
- 36.8 : 11 = 40 : ?
- 37.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
- 38.3 : 2 = 18 : ?
- 39.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
- 40.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
Answer key
- 64
- 30
- 42
- 32
- 4
- 72
- 225
- 52
- 25
- 77
- 406
- 59
- 16
- 10
- 80
- 54
- 126
- 12
- 70
- 70
- 19
- 350
- 147
- 16
- 200
- 64
- 98
- 144
- 405
- 18
- 459
- 10
- 243
- 40
- 12
- 55
- 42
- 12
- 8
- 45
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