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.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 2.Divide ₹448 between Sneha and Tara in the ratio 7 : 1. How much does Tara get (in ₹)?
- 3.6 : 10 = 36 : ?
- 4.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
- 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 8.Divide ₹319 between Aarav and Nisha in the ratio 8 : 3. How much does Aarav get (in ₹)?
- 9.Divide ₹192 between Manav and Pooja in the ratio 7 : 9. How much does Pooja get (in ₹)?
- 10.9 : 15 = 27 : ?
- 11.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
- 12.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 14.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
- 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 16.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
- 17.Divide ₹288 between Rahul and Pooja in the ratio 1 : 5. How much does Rahul get (in ₹)?
- 18.Divide ₹611 between Farhan and Meera in the ratio 7 : 6. How much does Farhan get (in ₹)?
- 19.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
- 20.Divide ₹319 between Rahul and Kabir in the ratio 6 : 5. How much does Kabir get (in ₹)?
- 21.Divide ₹224 between Rohan and Arjun in the ratio 7 : 9. How much does Rohan get (in ₹)?
- 22.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
- 23.Divide ₹208 between Rohan and Nisha in the ratio 9 : 4. How much does Nisha get (in ₹)?
- 24.7 : 5 = 35 : ?
- 25.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
- 26.8 : 14 = 40 : ?
- 27.2 : 5 = 4 : ?
- 28.Divide ₹649 between Priya and Zoya in the ratio 5 : 6. How much does Priya get (in ₹)?
- 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 30.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
- 31.Divide ₹210 between Kabir and Ananya in the ratio 3 : 7. How much does Kabir get (in ₹)?
- 32.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
- 34.Divide ₹56 between Karan and Meera in the ratio 3 : 4. How much does Karan get (in ₹)?
- 35.Divide ₹460 between Vivaan and Pooja in the ratio 3 : 7. How much does Pooja get (in ₹)?
- 36.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
- 37.Divide ₹18 between Manav and Arjun in the ratio 1 : 2. How much does Manav get (in ₹)?
- 38.Divide ₹145 between Zoya and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
- 39.Divide ₹315 between Rahul and Farhan in the ratio 2 : 5. How much does Rahul get (in ₹)?
- 40.Divide ₹91 between Aarav and Ananya in the ratio 8 : 5. How much does Aarav get (in ₹)?
Answer key
- 72
- 56
- 60
- 25
- 36
- 125
- 96
- 232
- 108
- 45
- 20
- 32
- 48
- 7
- 8
- 18
- 48
- 329
- 10
- 145
- 98
- 21
- 64
- 25
- 8
- 70
- 10
- 295
- 36
- 30
- 63
- 6
- 56
- 24
- 322
- 4
- 6
- 116
- 90
- 56
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