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 : 8. There are 18 boys. How many girls are there?
- 2.Divide ₹448 between Tara and Ishaan in the ratio 1 : 7. How much does Tara get (in ₹)?
- 3.4 : 13 = 24 : ?
- 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 6.2 : 13 = 6 : ?
- 7.Divide ₹378 between Rohan and Priya in the ratio 9 : 5. How much does Rohan get (in ₹)?
- 8.Divide ₹65 between Saanvi and Ananya in the ratio 9 : 4. How much does Saanvi get (in ₹)?
- 9.Divide ₹286 between Pooja and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
- 10.7 : 5 = 56 : ?
- 11.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
- 12.Divide ₹174 between Farhan and Saanvi in the ratio 2 : 1. How much does Farhan get (in ₹)?
- 13.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
- 14.Divide ₹78 between Karan and Ananya in the ratio 1 : 5. How much does Ananya get (in ₹)?
- 15.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
- 16.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
- 17.Divide ₹624 between Diya and Ananya in the ratio 5 : 7. How much does Diya get (in ₹)?
- 18.Divide ₹500 between Rahul and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
- 19.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
- 20.Divide ₹210 between Ananya and Tara in the ratio 9 : 1. How much does Ananya get (in ₹)?
- 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 22.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
- 23.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
- 24.Divide ₹403 between Kavya and Dev in the ratio 6 : 7. How much does Dev get (in ₹)?
- 25.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
- 26.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
- 27.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
- 28.Divide ₹640 between Kavya and Ishaan in the ratio 9 : 7. How much does Ishaan get (in ₹)?
- 29.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
- 30.Divide ₹583 between Pooja and Nisha in the ratio 8 : 3. How much does Nisha get (in ₹)?
- 31.Divide ₹660 between Aarav and Rahul in the ratio 8 : 3. How much does Rahul get (in ₹)?
- 32.Divide ₹368 between Pooja and Kabir in the ratio 1 : 7. How much does Pooja get (in ₹)?
- 33.Divide ₹98 between Aditya and Tara in the ratio 2 : 5. How much does Tara get (in ₹)?
- 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 36.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 37.11 : 14 = 77 : ?
- 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 39.11 : 10 = 22 : ?
- 40.5 : 4 = 25 : ?
Answer key
- 48
- 56
- 78
- 12
- 64
- 39
- 243
- 45
- 110
- 40
- 10
- 116
- 8
- 65
- 36
- 36
- 260
- 350
- 30
- 189
- 32
- 2
- 8
- 217
- 40
- 64
- 12
- 280
- 50
- 159
- 180
- 46
- 70
- 18
- 24
- 81
- 98
- 28
- 20
- 20
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