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
- 1.11 : 3 = 66 : ?
- 2.Divide ₹154 between Rohan and Karan in the ratio 2 : 9. How much does Rohan get (in ₹)?
- 3.12 : 13 = 36 : ?
- 4.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
- 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 7.Divide ₹230 between Kabir and Arjun in the ratio 4 : 1. How much does Arjun get (in ₹)?
- 8.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
- 9.10 : 13 = 90 : ?
- 10.8 : 11 = 16 : ?
- 11.6 : 15 = 24 : ?
- 12.Divide ₹735 between Ananya and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
- 13.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
- 14.4 : 2 = 24 : ?
- 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 7 : 6. There are 14 boys. How many girls are there?
- 17.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
- 18.Divide ₹91 between Arjun and Ishaan in the ratio 4 : 9. How much does Arjun get (in ₹)?
- 19.Divide ₹294 between Isha and Ishaan in the ratio 1 : 6. How much does Isha get (in ₹)?
- 20.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
- 21.3 : 15 = 6 : ?
- 22.Divide ₹222 between Manav and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
- 23.Divide ₹187 between Farhan and Dev in the ratio 3 : 8. How much does Farhan get (in ₹)?
- 24.2 : 7 = 12 : ?
- 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 26.3 : 5 = 21 : ?
- 27.8 : 7 = 72 : ?
- 28.Divide ₹520 between Sneha and Dev in the ratio 7 : 3. How much does Dev get (in ₹)?
- 29.3 : 5 = 6 : ?
- 30.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
- 31.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
- 32.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
- 33.4 : 7 = 28 : ?
- 34.4 : 11 = 28 : ?
- 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 36.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 37.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
- 38.Divide ₹42 between Dev and Farhan in the ratio 3 : 4. How much does Dev get (in ₹)?
- 39.11 : 5 = 99 : ?
- 40.Divide ₹124 between Isha and Ananya in the ratio 3 : 1. How much does Isha get (in ₹)?
Answer key
- 18
- 28
- 39
- 42
- 70
- 28
- 46
- 70
- 117
- 22
- 60
- 343
- 6
- 12
- 8
- 12
- 36
- 28
- 42
- 72
- 30
- 185
- 51
- 42
- 81
- 35
- 63
- 156
- 10
- 3
- 35
- 28
- 49
- 77
- 125
- 45
- 72
- 18
- 45
- 93
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