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
- 1.5 : 8 = 35 : ?
- 2.2 : 15 = 4 : ?
- 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 4.5 : 9 = 10 : ?
- 5.12 : 3 = 108 : ?
- 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 7.Divide ₹135 between Aditya and Saanvi in the ratio 7 : 8. How much does Saanvi get (in ₹)?
- 8.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
- 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 10.Divide ₹220 between Kabir and Ishaan in the ratio 1 : 9. How much does Kabir get (in ₹)?
- 11.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
- 12.6 : 4 = 36 : ?
- 13.9 : 11 = 45 : ?
- 14.Divide ₹108 between Rohan and Isha in the ratio 5 : 7. How much does Isha get (in ₹)?
- 15.11 : 2 = 22 : ?
- 16.11 : 14 = 66 : ?
- 17.Divide ₹288 between Farhan and Ishaan in the ratio 7 : 2. How much does Ishaan get (in ₹)?
- 18.3 : 8 = 6 : ?
- 19.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
- 20.12 : 13 = 24 : ?
- 21.6 : 14 = 18 : ?
- 22.Divide ₹35 between Tara and Aarav in the ratio 2 : 5. How much does Tara get (in ₹)?
- 23.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
- 24.Divide ₹48 between Dev and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
- 25.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
- 26.5 : 11 = 45 : ?
- 27.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
- 28.4 : 3 = 12 : ?
- 29.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 30.9 : 7 = 81 : ?
- 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 32.11 : 9 = 33 : ?
- 33.Divide ₹75 between Nisha and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
- 34.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 35.Divide ₹90 between Diya and Nisha in the ratio 1 : 4. How much does Diya get (in ₹)?
- 36.Divide ₹78 between Farhan and Kavya in the ratio 8 : 5. How much does Kavya get (in ₹)?
- 37.Divide ₹368 between Kabir and Arjun in the ratio 9 : 7. How much does Kabir get (in ₹)?
- 38.Divide ₹590 between Nisha and Kavya in the ratio 9 : 1. How much does Nisha get (in ₹)?
- 39.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
- 40.Divide ₹190 between Zoya and Sneha in the ratio 9 : 1. How much does Zoya get (in ₹)?
Answer key
- 56
- 30
- 8
- 18
- 27
- 72
- 72
- 48
- 24
- 22
- 80
- 24
- 55
- 63
- 4
- 84
- 64
- 16
- 4
- 26
- 42
- 10
- 90
- 16
- 35
- 99
- 54
- 9
- 112
- 63
- 12
- 27
- 50
- 96
- 18
- 30
- 207
- 531
- 50
- 171
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