The problems for the International Tournament are suggested by contemporary mathematicians and satisfy the following criteria:
each problem is partially unsolved, i.e. it may contain parts with no known solution,
each problem is accessible to high school students, i.e. the authors are certain that some elementary research work can be done on the problem.
The original problems come from the fields of algebra, analysis, combinatorics, geometry and number theory.
Here is the official list of problems for the ITYM 2019:
Problems 2019 (PDF)
Apr 19 • In the problem 8, the definition of an embedding has changed (the condition that no arc includes points associated with other vertices was also removed).
Apr 17 • In the problem 8, the definition of an embedding has changed (the condition of non-intersection of arcs was removed).
Mar 26 • In the problem 3 question 1(b), the variables a and b have been discarded.
Mar 26 • In the problem 8 question 2, the definition of a perfect k-ary tree has changed.
Remark 1. Please also check for possible updates of the list of problems during the next days after they are published.
Remark 2, The questions are not always ranked by increasing order of difficulty. Besides, there is no need to give solutions to all the problems: each team can refuse a certain number of problems. Refer to the regulation for details.
If you have questions or remarks please write to firstname.lastname@example.org
ITYM 2017: Problems 2017 — Quiz 2017
ITYM 2014: Problems 2014
ITYM 2013: Problems 2013
ITYM 2012: Problems 2012
ITYM 2011: Problems 2011
ITYM 2010: Problems 2010
ITYM 2009: Problems 2009