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 7 : 1. There are 28 boys. How many girls are there?
- 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 3.Divide ₹234 between Arjun and Priya in the ratio 4 : 5. How much does Priya get (in ₹)?
- 4.12 : 14 = 36 : ?
- 5.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
- 6.12 : 7 = 24 : ?
- 7.Divide ₹510 between Priya and Zoya in the ratio 8 : 9. How much does Priya get (in ₹)?
- 8.Divide ₹90 between Ananya and Nisha in the ratio 2 : 1. How much does Ananya get (in ₹)?
- 9.Divide ₹280 between Sneha and Pooja in the ratio 3 : 4. How much does Sneha get (in ₹)?
- 10.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
- 11.10 : 9 = 90 : ?
- 12.11 : 14 = 88 : ?
- 13.Divide ₹462 between Aarav and Arjun in the ratio 6 : 5. How much does Aarav get (in ₹)?
- 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 17.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
- 18.9 : 5 = 63 : ?
- 19.Divide ₹312 between Diya and Isha in the ratio 4 : 9. How much does Isha get (in ₹)?
- 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 21.Divide ₹192 between Saanvi and Pooja in the ratio 5 : 7. How much does Pooja get (in ₹)?
- 22.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
- 23.8 : 12 = 16 : ?
- 24.10 : 8 = 60 : ?
- 25.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 26.Divide ₹261 between Isha and Arjun in the ratio 7 : 2. How much does Isha get (in ₹)?
- 27.3 : 8 = 6 : ?
- 28.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
- 29.Divide ₹319 between Diya and Tara in the ratio 2 : 9. How much does Diya get (in ₹)?
- 30.Divide ₹170 between Farhan and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
- 31.Divide ₹390 between Isha and Arjun in the ratio 9 : 1. How much does Isha get (in ₹)?
- 32.9 : 15 = 36 : ?
- 33.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
- 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 35.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
- 36.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
- 37.2 : 3 = 18 : ?
- 38.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 39.4 : 10 = 8 : ?
- 40.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
Answer key
- 4
- 16
- 130
- 42
- 25
- 14
- 240
- 60
- 120
- 42
- 81
- 112
- 252
- 45
- 100
- 48
- 20
- 35
- 216
- 50
- 112
- 25
- 24
- 48
- 20
- 203
- 16
- 16
- 58
- 34
- 351
- 60
- 72
- 32
- 45
- 40
- 27
- 32
- 20
- 20
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