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 3 : 5. There are 21 boys. How many girls are there?
- 2.Divide ₹560 between Rohan and Kavya in the ratio 9 : 1. How much does Rohan get (in ₹)?
- 3.4 : 13 = 24 : ?
- 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 5.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
- 6.Divide ₹99 between Diya and Meera in the ratio 2 : 1. How much does Diya get (in ₹)?
- 7.Divide ₹39 between Aditya and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
- 8.4 : 5 = 12 : ?
- 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 10.7 : 2 = 56 : ?
- 11.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 12.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
- 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 15.Divide ₹799 between Nisha and Zoya in the ratio 8 : 9. How much does Zoya get (in ₹)?
- 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 17.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
- 18.10 : 9 = 80 : ?
- 19.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
- 20.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
- 21.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
- 22.Divide ₹212 between Nisha and Zoya in the ratio 1 : 3. How much does Nisha get (in ₹)?
- 23.Divide ₹77 between Kabir and Arjun in the ratio 6 : 1. How much does Kabir get (in ₹)?
- 24.Divide ₹280 between Pooja and Aarav in the ratio 5 : 9. How much does Pooja get (in ₹)?
- 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 27.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
- 28.Divide ₹352 between Aarav and Zoya in the ratio 7 : 4. How much does Zoya get (in ₹)?
- 29.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
- 30.Divide ₹338 between Kavya and Isha in the ratio 6 : 7. How much does Isha get (in ₹)?
- 31.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
- 32.Divide ₹145 between Nisha and Sneha in the ratio 3 : 2. How much does Nisha get (in ₹)?
- 33.7 : 13 = 28 : ?
- 34.4 : 2 = 12 : ?
- 35.Divide ₹418 between Kabir and Arjun in the ratio 9 : 2. How much does Arjun get (in ₹)?
- 36.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 38.9 : 8 = 18 : ?
- 39.5 : 12 = 10 : ?
- 40.3 : 2 = 6 : ?
Answer key
- 35
- 504
- 78
- 80
- 32
- 66
- 13
- 15
- 32
- 16
- 36
- 21
- 15
- 28
- 423
- 50
- 6
- 72
- 18
- 50
- 6
- 53
- 66
- 100
- 12
- 64
- 12
- 128
- 21
- 182
- 30
- 87
- 52
- 6
- 76
- 20
- 24
- 16
- 24
- 4
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