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 1 : 2. There are 7 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
- 3.Divide ₹576 between Dev and Nisha in the ratio 7 : 5. How much does Dev get (in ₹)?
- 4.11 : 5 = 77 : ?
- 5.Divide ₹130 between Kavya and Manav in the ratio 2 : 3. How much does Manav get (in ₹)?
- 6.Divide ₹517 between Aarav and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
- 7.Divide ₹180 between Dev and Sneha in the ratio 7 : 5. How much does Dev get (in ₹)?
- 8.Divide ₹45 between Rahul and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
- 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 10.4 : 6 = 12 : ?
- 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 13.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
- 14.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
- 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 17.2 : 13 = 4 : ?
- 18.Divide ₹615 between Farhan and Saanvi in the ratio 7 : 8. How much does Farhan get (in ₹)?
- 19.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 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 7 : 3. There are 21 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
- 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 24.Divide ₹352 between Ananya and Aarav in the ratio 7 : 9. How much does Ananya get (in ₹)?
- 25.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 27.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
- 28.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
- 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 30.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
- 31.Divide ₹504 between Zoya and Vivaan in the ratio 7 : 5. How much does Vivaan get (in ₹)?
- 32.Divide ₹121 between Ananya and Farhan in the ratio 5 : 6. How much does Ananya get (in ₹)?
- 33.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
- 34.7 : 6 = 14 : ?
- 35.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
- 36.3 : 9 = 15 : ?
- 37.Divide ₹140 between Kabir and Nisha in the ratio 1 : 9. How much does Nisha get (in ₹)?
- 38.3 : 14 = 6 : ?
- 39.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
- 40.4 : 12 = 12 : ?
Answer key
- 14
- 70
- 336
- 35
- 78
- 94
- 105
- 5
- 28
- 18
- 175
- 75
- 9
- 27
- 72
- 80
- 26
- 287
- 21
- 8
- 9
- 45
- 20
- 154
- 24
- 27
- 42
- 12
- 32
- 40
- 210
- 55
- 24
- 12
- 24
- 45
- 126
- 28
- 9
- 36
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