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).
NameDateTime takenScore ___ / 40
- 1.Divide ₹627 between Pooja and Ananya in the ratio 4 : 7. How much does Pooja get (in ₹)?
- 2.Divide ₹333 between Farhan and Diya in the ratio 7 : 2. How much does Farhan get (in ₹)?
- 3.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
- 4.Divide ₹180 between Vivaan and Saanvi in the ratio 1 : 8. How much does Vivaan get (in ₹)?
- 5.Divide ₹378 between Aditya and Karan in the ratio 5 : 2. How much does Aditya get (in ₹)?
- 6.9 : 10 = 63 : ?
- 7.Divide ₹165 between Priya and Farhan in the ratio 8 : 3. How much does Priya get (in ₹)?
- 8.Divide ₹80 between Arjun and Sneha in the ratio 9 : 1. How much does Sneha get (in ₹)?
- 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 10.Divide ₹285 between Diya and Karan in the ratio 7 : 8. How much does Karan get (in ₹)?
- 11.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
- 12.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 15.10 : 3 = 90 : ?
- 16.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
- 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 18.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
- 19.Divide ₹539 between Zoya and Ishaan in the ratio 8 : 3. How much does Ishaan get (in ₹)?
- 20.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 21.9 : 4 = 72 : ?
- 22.12 : 9 = 108 : ?
- 23.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
- 24.3 : 11 = 6 : ?
- 25.10 : 6 = 40 : ?
- 26.5 : 4 = 10 : ?
- 27.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
- 28.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
- 29.Divide ₹84 between Dev and Arjun in the ratio 9 : 5. How much does Dev get (in ₹)?
- 30.3 : 5 = 9 : ?
- 31.3 : 12 = 6 : ?
- 32.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 33.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 34.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 35.8 : 12 = 40 : ?
- 36.4 : 2 = 32 : ?
- 37.12 : 14 = 24 : ?
- 38.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
- 39.11 : 5 = 55 : ?
- 40.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
Answer key
- 228
- 259
- 14
- 20
- 270
- 70
- 120
- 8
- 150
- 152
- 18
- 200
- 75
- 36
- 27
- 9
- 16
- 56
- 147
- 128
- 32
- 81
- 18
- 22
- 24
- 8
- 9
- 6
- 54
- 15
- 24
- 63
- 24
- 80
- 60
- 16
- 28
- 50
- 25
- 10
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