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.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
- 2.Divide ₹145 between Rohan and Sneha in the ratio 4 : 1. How much does Sneha get (in ₹)?
- 3.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
- 4.Divide ₹462 between Priya and Vivaan in the ratio 9 : 2. How much does Priya get (in ₹)?
- 5.9 : 7 = 36 : ?
- 6.3 : 14 = 21 : ?
- 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 8.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 9.Divide ₹49 between Karan and Dev in the ratio 6 : 1. How much does Karan get (in ₹)?
- 10.Divide ₹210 between Pooja and Meera in the ratio 7 : 3. How much does Pooja get (in ₹)?
- 11.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
- 12.Divide ₹374 between Vivaan and Nisha in the ratio 9 : 8. How much does Vivaan get (in ₹)?
- 13.12 : 14 = 108 : ?
- 14.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
- 15.Divide ₹133 between Aarav and Kavya in the ratio 6 : 1. How much does Aarav get (in ₹)?
- 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 17.Divide ₹159 between Isha and Arjun in the ratio 1 : 2. How much does Isha get (in ₹)?
- 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 20.Divide ₹45 between Karan and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
- 21.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
- 22.Divide ₹462 between Karan and Dev in the ratio 3 : 8. How much does Dev get (in ₹)?
- 23.Divide ₹259 between Pooja and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
- 24.11 : 15 = 22 : ?
- 25.Divide ₹423 between Rohan and Ishaan in the ratio 8 : 1. How much does Rohan get (in ₹)?
- 26.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
- 27.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
- 28.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
- 29.12 : 13 = 48 : ?
- 30.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
- 31.Divide ₹496 between Diya and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
- 32.Divide ₹182 between Priya and Saanvi in the ratio 2 : 5. How much does Priya get (in ₹)?
- 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 34.Divide ₹440 between Arjun and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
- 35.2 : 4 = 8 : ?
- 36.Divide ₹559 between Rohan and Kabir in the ratio 7 : 6. How much does Kabir get (in ₹)?
- 37.Divide ₹660 between Aarav and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
- 38.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
- 39.Divide ₹315 between Ananya and Priya in the ratio 8 : 1. How much does Ananya get (in ₹)?
- 40.10 : 12 = 40 : ?
Answer key
- 7
- 29
- 12
- 378
- 28
- 98
- 8
- 200
- 42
- 147
- 36
- 198
- 126
- 12
- 114
- 63
- 53
- 16
- 18
- 15
- 14
- 336
- 222
- 30
- 376
- 45
- 40
- 56
- 52
- 27
- 279
- 52
- 48
- 200
- 16
- 258
- 420
- 49
- 280
- 48
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