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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- 1.7 : 2 = 14 : ?
- 2.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
- 3.2 : 5 = 8 : ?
- 4.Divide ₹224 between Farhan and Meera in the ratio 7 : 9. How much does Farhan get (in ₹)?
- 5.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
- 6.Divide ₹252 between Priya and Tara in the ratio 5 : 1. How much does Priya get (in ₹)?
- 7.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
- 8.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
- 10.Divide ₹585 between Saanvi and Ishaan in the ratio 7 : 6. How much does Saanvi get (in ₹)?
- 11.9 : 5 = 72 : ?
- 12.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
- 14.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 15.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 17.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
- 18.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
- 19.Divide ₹540 between Isha and Priya in the ratio 7 : 3. How much does Priya get (in ₹)?
- 20.Divide ₹143 between Karan and Priya in the ratio 9 : 2. How much does Karan get (in ₹)?
- 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 22.Divide ₹147 between Pooja and Isha in the ratio 1 : 2. How much does Pooja get (in ₹)?
- 23.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
- 24.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
- 25.Divide ₹108 between Zoya and Aarav in the ratio 2 : 7. How much does Zoya get (in ₹)?
- 26.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
- 27.Divide ₹490 between Pooja and Dev in the ratio 9 : 1. How much does Dev get (in ₹)?
- 28.8 : 13 = 32 : ?
- 29.Divide ₹399 between Zoya and Nisha in the ratio 6 : 1. How much does Zoya get (in ₹)?
- 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 31.8 : 15 = 72 : ?
- 32.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
- 33.10 : 2 = 70 : ?
- 34.Divide ₹650 between Rohan and Sneha in the ratio 5 : 8. How much does Sneha get (in ₹)?
- 35.Divide ₹234 between Meera and Kavya in the ratio 6 : 7. How much does Meera get (in ₹)?
- 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 38.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
- 39.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
- 40.10 : 5 = 40 : ?
Answer key
- 4
- 81
- 20
- 98
- 3
- 210
- 25
- 32
- 70
- 315
- 40
- 15
- 2
- 72
- 24
- 175
- 42
- 9
- 162
- 117
- 12
- 49
- 14
- 12
- 24
- 12
- 49
- 52
- 342
- 32
- 135
- 30
- 14
- 400
- 108
- 128
- 144
- 8
- 72
- 20
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