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 5 : 2. There are 15 boys. How many girls are there?
- 2.2 : 11 = 6 : ?
- 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 4.Divide ₹124 between Farhan and Arjun in the ratio 1 : 3. How much does Farhan get (in ₹)?
- 5.Divide ₹297 between Tara and Ishaan in the ratio 2 : 7. How much does Tara get (in ₹)?
- 6.Divide ₹288 between Diya and Aarav in the ratio 9 : 7. How much does Diya get (in ₹)?
- 7.10 : 8 = 60 : ?
- 8.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
- 9.Divide ₹338 between Manav and Kavya in the ratio 9 : 4. How much does Kavya get (in ₹)?
- 10.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
- 11.9 : 8 = 45 : ?
- 12.Divide ₹108 between Dev and Kavya in the ratio 1 : 8. How much does Dev get (in ₹)?
- 13.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
- 14.4 : 8 = 12 : ?
- 15.3 : 5 = 6 : ?
- 16.Divide ₹217 between Manav and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
- 17.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
- 18.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 19.Divide ₹35 between Kavya and Zoya in the ratio 2 : 5. How much does Zoya get (in ₹)?
- 20.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
- 21.2 : 6 = 14 : ?
- 22.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 23.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
- 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 25.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
- 26.Divide ₹630 between Ishaan and Farhan in the ratio 7 : 8. How much does Farhan get (in ₹)?
- 27.Divide ₹64 between Priya and Diya in the ratio 3 : 1. How much does Priya get (in ₹)?
- 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 29.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
- 30.8 : 12 = 32 : ?
- 31.12 : 14 = 24 : ?
- 32.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 33.3 : 10 = 15 : ?
- 34.Divide ₹473 between Arjun and Rahul in the ratio 8 : 3. How much does Arjun get (in ₹)?
- 35.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 36.Divide ₹171 between Aditya and Saanvi in the ratio 5 : 4. How much does Aditya get (in ₹)?
- 37.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
- 38.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
- 39.4 : 12 = 32 : ?
- 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
Answer key
- 6
- 33
- 20
- 31
- 66
- 162
- 48
- 10
- 104
- 2
- 40
- 12
- 32
- 24
- 10
- 31
- 24
- 54
- 25
- 56
- 42
- 32
- 40
- 16
- 42
- 336
- 48
- 18
- 18
- 48
- 28
- 45
- 50
- 344
- 81
- 95
- 24
- 18
- 96
- 100
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