ITYM

The 16th ITYM is being organised, in particular, by the Belarusian State University.

It will take place online from December 11 to December 22, 2024.

Welcome to the official website of the International Tournament of Young Mathematicians!

It is a team competition for high school students from all over the world. Each team should consist of 4 to 6 students, guided and accompanied by one or two adult team leaders.

Its purpose is to stimulate interest in mathematics and its applications, to develop scientific thinking, communication skills and teamwork.

The ITYM developed out of national tournaments in some countries, especially from Eastern Europe.

In contrast to olympiads, the problems for the tournament are published several months in advance and contain parts with no known solution.

During the tournament the participating students present their results in a kind of research debate involving Reporter, Opponent, Reviewer and Observer.

The ITYM is supported by leading universities of Europe and has allowed collaboration between professional scientists and youngsters. Thousands of students, teachers and scientists from 20 countries have already benefited from the tournament.

The 16th edition of the ITYM will be held online in December 2024.

The problems were published on October 13 at 16:00 CET (updates are possible).

Registration is open until November 11.

The timetable is preliminary.

TESTIMONIALS

PROBLEMS

PROBLEMS 2024 (PDF)

Version 2 (appeared on October 14, 2024, at 14:00 CET)
Corrections are possible. Last changes: in Problems 3 and 5.

Problems for the ITYM are suggested by contemporary mathematicians.

▹▹Each problem contains parts with no known solution.

▹▹Each problem is accessible to high school students, elementary research can be done.

▹▹Some problems are advanced and require learning new theory.

▹▹The original problems come from fields of algebra, analysis, combinatorics, number theory, geometry and probability.

▹▹It is not compulsory to send solutions to all the problems. During the ITYM, every team will present at most three of them.

The official list of problems has been released in July 2022.

Past Problems

2023 2022 2021 2020 2019 2018 2017 2016

2015 2014 2013 2012 2011 2010 2009

Quizzes

2019 2018 2017 2016 2015 (solution)

Authors

2009 - 2015

Quiz is a written test of 2.5 hours. Its aim is to check team’s understanding of the problems of the ITYM, competence in involved mathematical fields and solving skills.

During the rounds and the finals, the teams play the four following roles:

Reporter presents the main ideas and results obtained while solving the problem.

Opponent analyses the solution of the reporter and points to inaccuracy and errors in the paper and the presentation.

Reviewer evaluates both the performance of the reporter and the work of the opponent.

Observer only makes important remarks missed by all others.