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 4 : 1. There are 16 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
- 3.Divide ₹243 between Manav and Aarav in the ratio 2 : 7. How much does Manav get (in ₹)?
- 4.Divide ₹215 between Pooja and Meera in the ratio 2 : 3. How much does Pooja get (in ₹)?
- 5.12 : 3 = 60 : ?
- 6.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
- 7.7 : 2 = 56 : ?
- 8.Divide ₹72 between Ananya and Karan in the ratio 7 : 1. How much does Karan get (in ₹)?
- 9.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
- 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 11.3 : 12 = 15 : ?
- 12.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
- 13.Divide ₹245 between Rahul and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
- 14.Divide ₹45 between Diya and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?
- 15.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
- 16.Divide ₹225 between Diya and Karan in the ratio 5 : 4. How much does Diya get (in ₹)?
- 17.Divide ₹295 between Sneha and Kavya in the ratio 1 : 4. How much does Kavya get (in ₹)?
- 18.Divide ₹64 between Meera and Aditya in the ratio 3 : 5. How much does Meera get (in ₹)?
- 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 20.7 : 6 = 56 : ?
- 21.3 : 15 = 24 : ?
- 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 23.Divide ₹455 between Zoya and Rohan in the ratio 4 : 9. How much does Zoya get (in ₹)?
- 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 25.Divide ₹336 between Kavya and Arjun in the ratio 5 : 7. How much does Kavya get (in ₹)?
- 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 27.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
- 28.4 : 15 = 8 : ?
- 29.Divide ₹531 between Meera and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
- 30.Divide ₹192 between Kabir and Karan in the ratio 7 : 1. How much does Kabir get (in ₹)?
- 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 32.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
- 33.12 : 8 = 24 : ?
- 34.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
- 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 37.5 : 2 = 40 : ?
- 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 39.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
- 40.9 : 14 = 45 : ?
Answer key
- 4
- 4
- 54
- 86
- 15
- 36
- 16
- 9
- 42
- 12
- 60
- 25
- 98
- 25
- 14
- 125
- 236
- 24
- 200
- 48
- 120
- 81
- 140
- 144
- 140
- 45
- 12
- 30
- 118
- 168
- 16
- 15
- 16
- 32
- 20
- 80
- 16
- 32
- 60
- 70
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