Top Hardest Problems In Math Olympiads

What  is International Mathematical Olympiad (IMO) 

The International Mathematical Olympiad (IMO) stands as the foremost global competition for high school students who excel in mathematics. Since its inception in 1959, the IMO has been a gathering ground for the brightest young mathematicians from over 100 countries. This annual event spans nine days, featuring a rigorous two-day examination. During these exams, participants face six challenging problems—three each day within a 4.5-hour session.

 Structure and Scoring of the IMO

The IMO's problems encompass a variety of topics, including algebra, combinatorics, geometry, and number theory. These questions are crafted to assess not only the students' problem-solving skills but also their creativity and depth of mathematical understanding. Each problem carries a maximum of seven points, making the total possible score 42 points. Based on their performance, participants are awarded gold, silver, or bronze medals, with approximately half of the contestants receiving medals.

The IMO not only celebrates mathematical excellence but also fosters international cooperation and the importance of mathematical education.

Questions Foramre in IMO 

10 Hardest Problem In International Mathematical Olympiad 

In 1998 Problem No. 6 was hardest one, it was related to Integers, divisibility of 5.

In 2001 USAMO United State of America Mathematical Olympiad Problem Number.1 related to polynomials was toughest problem in USAMO.

IMO 1991 Problem 6 was very challenging it was related to Real Numbers and sequence.

In International Mathematical Olympiad 1998, Problem Number 3 was hardest one where a,b and c be positive real numbers we had to prove 

In 1979 International Mathematical Olympiad Problem number 6 was challenging this Problem was related to modules.

The Asian Pacific Mathematics Olympiad (APMO) is a mathematical competition for countries in the Pacific-Rim Region, in 2002 problem number 5

The APMO is held annually. Each participating country has a representative in charge of organizing the APMO locally. A central committee selects a paper with 5 questions to be solved in 4 hours, sends marking schemes and determines award winners.

In 2001 ISL, problem number G4 related to triangle was toughest 

In 1995 IMO , problem number 6 we had to find value for k was hardest problem 

China is one of the best country  who won maximum time in IMO here in 2002 problem 3 was hardest 

In 1976 IMO problem number 6 was very challenging