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 3 : 8. There are 30 boys. How many girls are there?
- 2.Divide ₹260 between Sneha and Ananya in the ratio 1 : 9. How much does Ananya get (in ₹)?
- 3.Divide ₹187 between Karan and Farhan in the ratio 8 : 3. How much does Farhan get (in ₹)?
- 4.Divide ₹363 between Saanvi and Isha in the ratio 2 : 9. How much does Saanvi get (in ₹)?
- 5.Divide ₹126 between Aarav and Ishaan in the ratio 9 : 5. How much does Aarav get (in ₹)?
- 6.Divide ₹252 between Aarav and Priya in the ratio 2 : 5. How much does Aarav get (in ₹)?
- 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 8.Divide ₹240 between Karan and Kabir in the ratio 5 : 1. How much does Karan get (in ₹)?
- 9.Divide ₹99 between Nisha and Dev in the ratio 8 : 1. How much does Dev get (in ₹)?
- 10.Divide ₹522 between Diya and Rohan in the ratio 7 : 2. How much does Diya get (in ₹)?
- 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 14.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
- 15.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
- 16.5 : 4 = 25 : ?
- 17.Divide ₹135 between Kavya and Manav in the ratio 3 : 2. How much does Kavya get (in ₹)?
- 18.Divide ₹324 between Diya and Ananya in the ratio 5 : 7. How much does Diya get (in ₹)?
- 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 20.3 : 14 = 15 : ?
- 21.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
- 22.Divide ₹70 between Aarav and Karan in the ratio 9 : 1. How much does Karan get (in ₹)?
- 23.Divide ₹297 between Aditya and Aarav in the ratio 8 : 1. How much does Aditya get (in ₹)?
- 24.9 : 4 = 72 : ?
- 25.11 : 7 = 33 : ?
- 26.Divide ₹126 between Diya and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
- 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 28.Divide ₹135 between Sneha and Priya in the ratio 4 : 1. How much does Sneha get (in ₹)?
- 29.4 : 3 = 12 : ?
- 30.8 : 9 = 56 : ?
- 31.Divide ₹136 between Kabir and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
- 32.2 : 10 = 4 : ?
- 33.2 : 13 = 14 : ?
- 34.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
- 35.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
- 36.8 : 12 = 16 : ?
- 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 39.Divide ₹850 between Kabir and Arjun in the ratio 9 : 8. How much does Arjun get (in ₹)?
- 40.Divide ₹52 between Ishaan and Ananya in the ratio 3 : 1. How much does Ishaan get (in ₹)?
Answer key
- 80
- 234
- 51
- 66
- 81
- 72
- 100
- 200
- 11
- 406
- 24
- 8
- 200
- 54
- 3
- 20
- 81
- 135
- 27
- 70
- 8
- 7
- 264
- 32
- 21
- 108
- 54
- 108
- 9
- 63
- 51
- 20
- 91
- 30
- 64
- 24
- 16
- 81
- 400
- 39
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