MTA Pre-Regional Mathematical Olympiad (PRMO), 2019

Paper 1 conducted on August 11, 2019

Questions 1 to 6 carry 2 marks each; questions 7 to 21 carry 3 marks each; questions 22 to 30 carry 5 marks each.

Time Duration is 3 hours. Maximum marks is 102.

 

Problem 1

 
 

Problem 2

 
 

Problem 3

 
 

Problem 4

 
 

Problem 5

 
 

Problem 6

 
 

Problem 7

 
 

Problem 8

 
 

Problem 9

 
 

Problem 10

 
 

Problem 11

 
 

Problem 12

 
 

Problem 13

 
 

Problem 14

 
 

Problem 15

 
 

Problem 16

 
 

Problem 17

 
 

Problem 18

 
 

Problem 19

 
 

Problem 20

 
 

Problem 21

 
 

Problem 22

 
 

Problem 23

 
 

Problem 24

 
 

Problem 25

 
 

Problem 26

 
 

Problem 27

 
 

Problem 28

 
 

Problem 29

 
 

Problem 30