Russian Math Olympiad Problems And Solutions Pdf 【Must Read】

Take the solved problem and change one condition. For example, if the problem says “for any integer n,” change it to “for any prime p.” Try to solve your new problem. This is the secret of Russian trainers.

If you read basic Russian (or use browser translation), visit:

Grade 10 – Russian MO 2010, Problem 6 (combinatorics):
“A finite set of points in the plane has the property that the perpendicular bisector of any segment joining two points contains at least one other point from the set. Prove that all points are collinear.” russian math olympiad problems and solutions pdf

A good PDF solution will show an invariant / combinatorial geometry approach.

This is not a problem book per se, but a teacher's guide for Russian math circles. It contains hundreds of classic problems with hints and full solutions. If you find a PDF of this, you’ve found a goldmine. Take the solved problem and change one condition

Set a timer (1 hour for a district-level problem, 3+ hours for a national problem). Do not look at the solution. Write everything down. Even if you fail, your brain will prime itself.

While searching for a free “russian math olympiad problems and solutions pdf,” beware of: This is not a problem book per se,

Before you dive into the PDFs, it is important to understand the philosophy behind these problems.