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 6 and 24 (that is, 6 : 24 = 24 : ?).
- 2.Divide ₹360 between Kabir and Meera in the ratio 8 : 1. How much does Kabir get (in ₹)?
- 3.2 : 14 = 4 : ?
- 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 5.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
- 6.Divide ₹583 between Kabir and Aditya in the ratio 7 : 4. How much does Kabir get (in ₹)?
- 7.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
- 8.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 9.Divide ₹260 between Vivaan and Kabir in the ratio 9 : 4. How much does Vivaan get (in ₹)?
- 10.Divide ₹255 between Saanvi and Sneha in the ratio 2 : 3. How much does Saanvi get (in ₹)?
- 11.Divide ₹64 between Meera and Vivaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
- 12.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
- 14.Divide ₹540 between Isha and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
- 15.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
- 16.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
- 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 18.2 : 3 = 12 : ?
- 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 20.Divide ₹832 between Rohan and Priya in the ratio 9 : 7. How much does Rohan get (in ₹)?
- 21.Divide ₹250 between Aditya and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
- 22.Divide ₹259 between Rahul and Diya in the ratio 1 : 6. How much does Diya get (in ₹)?
- 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 24.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
- 26.Divide ₹576 between Diya and Tara in the ratio 7 : 5. How much does Diya get (in ₹)?
- 27.12 : 14 = 84 : ?
- 28.Divide ₹198 between Manav and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
- 29.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
- 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 31.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 32.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
- 34.Divide ₹184 between Isha and Saanvi in the ratio 1 : 3. How much does Isha get (in ₹)?
- 35.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 37.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
- 38.Divide ₹280 between Vivaan and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
- 39.Divide ₹162 between Aarav and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
- 40.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
Answer key
- 96
- 320
- 28
- 75
- 18
- 371
- 36
- 100
- 180
- 102
- 24
- 54
- 18
- 480
- 5
- 18
- 48
- 18
- 63
- 468
- 25
- 222
- 175
- 63
- 50
- 336
- 98
- 144
- 15
- 18
- 36
- 12
- 7
- 46
- 72
- 12
- 2
- 100
- 126
- 28
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