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.Divide ₹170 between Pooja and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
- 2.10 : 5 = 50 : ?
- 3.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
- 4.Divide ₹49 between Ananya and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
- 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 6.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
- 7.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
- 8.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
- 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 10.Divide ₹255 between Kabir and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
- 11.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 12.2 : 6 = 10 : ?
- 13.Divide ₹360 between Arjun and Isha in the ratio 3 : 5. How much does Arjun get (in ₹)?
- 14.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
- 15.10 : 12 = 90 : ?
- 16.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 17.10 : 6 = 20 : ?
- 18.8 : 13 = 16 : ?
- 19.10 : 3 = 80 : ?
- 20.Divide ₹128 between Meera and Ananya in the ratio 3 : 5. How much does Meera get (in ₹)?
- 21.10 : 14 = 50 : ?
- 22.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 26.8 : 2 = 48 : ?
- 27.Divide ₹42 between Ishaan and Diya in the ratio 4 : 3. How much does Diya get (in ₹)?
- 28.2 : 11 = 6 : ?
- 29.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 30.2 : 7 = 6 : ?
- 31.Divide ₹390 between Rohan and Vivaan in the ratio 9 : 1. How much does Vivaan get (in ₹)?
- 32.Divide ₹288 between Dev and Arjun in the ratio 5 : 7. How much does Dev get (in ₹)?
- 33.12 : 8 = 60 : ?
- 34.Divide ₹180 between Zoya and Ananya in the ratio 4 : 1. How much does Zoya get (in ₹)?
- 35.6 : 5 = 42 : ?
- 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 37.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
- 38.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
- 39.12 : 4 = 84 : ?
- 40.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
Answer key
- 17
- 25
- 50
- 7
- 32
- 3
- 6
- 6
- 28
- 51
- 200
- 30
- 135
- 28
- 108
- 54
- 12
- 26
- 24
- 48
- 70
- 64
- 144
- 100
- 81
- 12
- 18
- 33
- 175
- 21
- 39
- 120
- 40
- 144
- 35
- 27
- 4
- 72
- 28
- 9
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