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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- 1.4 : 7 = 16 : ?
- 2.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
- 3.Divide ₹330 between Ananya and Kavya in the ratio 3 : 7. How much does Kavya get (in ₹)?
- 4.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
- 5.Divide ₹384 between Ishaan and Vivaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
- 6.Divide ₹279 between Vivaan and Tara in the ratio 4 : 5. How much does Vivaan get (in ₹)?
- 7.Divide ₹114 between Manav and Karan in the ratio 1 : 5. How much does Karan get (in ₹)?
- 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 9.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
- 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 11.Divide ₹114 between Aditya and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
- 12.Divide ₹136 between Nisha and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
- 13.Divide ₹560 between Diya and Nisha in the ratio 3 : 7. How much does Diya get (in ₹)?
- 14.8 : 15 = 48 : ?
- 15.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
- 16.Divide ₹376 between Aditya and Sneha in the ratio 3 : 5. How much does Sneha get (in ₹)?
- 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 18.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
- 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 20.Divide ₹520 between Dev and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
- 21.2 : 11 = 10 : ?
- 22.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 23.Divide ₹330 between Farhan and Meera in the ratio 7 : 4. How much does Meera get (in ₹)?
- 24.6 : 11 = 48 : ?
- 25.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
- 26.Divide ₹330 between Kabir and Karan in the ratio 3 : 8. How much does Kabir get (in ₹)?
- 27.9 : 12 = 72 : ?
- 28.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
- 29.6 : 15 = 36 : ?
- 30.Divide ₹144 between Sneha and Ishaan in the ratio 1 : 8. How much does Ishaan get (in ₹)?
- 31.8 : 3 = 64 : ?
- 32.Divide ₹78 between Arjun and Aarav in the ratio 4 : 9. How much does Arjun get (in ₹)?
- 33.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
- 34.Divide ₹39 between Aarav and Tara in the ratio 2 : 1. How much does Tara get (in ₹)?
- 35.Divide ₹340 between Priya and Tara in the ratio 8 : 9. How much does Priya get (in ₹)?
- 36.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
- 37.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
- 38.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
- 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
Answer key
- 28
- 9
- 231
- 40
- 144
- 124
- 95
- 96
- 63
- 81
- 19
- 102
- 168
- 90
- 6
- 235
- 8
- 45
- 36
- 364
- 55
- 175
- 120
- 88
- 27
- 90
- 96
- 8
- 90
- 128
- 24
- 24
- 14
- 13
- 160
- 63
- 56
- 49
- 64
- 36
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