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 8 : 1. There are 40 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
- 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 5.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
- 6.11 : 14 = 66 : ?
- 7.6 : 4 = 12 : ?
- 8.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
- 10.Divide ₹390 between Ishaan and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
- 11.8 : 5 = 48 : ?
- 12.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
- 13.Divide ₹154 between Manav and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?
- 14.Divide ₹187 between Arjun and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
- 15.Divide ₹246 between Zoya and Manav in the ratio 5 : 1. How much does Zoya get (in ₹)?
- 16.8 : 14 = 64 : ?
- 17.11 : 13 = 66 : ?
- 18.11 : 10 = 77 : ?
- 19.Divide ₹54 between Farhan and Karan in the ratio 1 : 5. How much does Farhan get (in ₹)?
- 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 21.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
- 22.Divide ₹800 between Aditya and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
- 23.Divide ₹64 between Dev and Kabir in the ratio 3 : 1. How much does Kabir get (in ₹)?
- 24.Divide ₹75 between Ishaan and Isha in the ratio 7 : 8. How much does Ishaan get (in ₹)?
- 25.12 : 8 = 60 : ?
- 26.Divide ₹350 between Sneha and Kabir in the ratio 1 : 6. How much does Sneha get (in ₹)?
- 27.7 : 6 = 14 : ?
- 28.Divide ₹81 between Rohan and Manav in the ratio 1 : 2. How much does Manav get (in ₹)?
- 29.Divide ₹338 between Kabir and Isha in the ratio 8 : 5. How much does Kabir get (in ₹)?
- 30.Divide ₹140 between Vivaan and Manav in the ratio 5 : 9. How much does Manav get (in ₹)?
- 31.Divide ₹84 between Rahul and Tara in the ratio 1 : 6. How much does Tara get (in ₹)?
- 32.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
- 33.5 : 8 = 30 : ?
- 34.8 : 3 = 48 : ?
- 35.Divide ₹407 between Aarav and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
- 36.11 : 3 = 66 : ?
- 37.Divide ₹27 between Vivaan and Aarav in the ratio 1 : 2. How much does Vivaan get (in ₹)?
- 38.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
- 39.6 : 10 = 42 : ?
- 40.Divide ₹649 between Dev and Rahul in the ratio 4 : 7. How much does Dev get (in ₹)?
Answer key
- 5
- 50
- 8
- 150
- 6
- 84
- 8
- 54
- 35
- 117
- 30
- 40
- 99
- 68
- 205
- 112
- 78
- 70
- 9
- 36
- 9
- 450
- 16
- 35
- 40
- 50
- 12
- 54
- 208
- 90
- 72
- 45
- 48
- 18
- 259
- 18
- 9
- 6
- 70
- 236
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude