Problems.ru
A huge Russian database of olympiad and math-circle problems run by MCCME: filter by topic, grade and difficulty, read solutions, try the problem of the day.
What it is
Problems.ru is a database of math problems run by MCCME, the Moscow Center for Continuous Mathematical Education, together with Moscow's well-known School 57. It gathers problems from olympiads, tournaments, books, journals and math circles, many of them with solutions. Everything is sorted by topic — logic and set theory, algebra and arithmetic, geometry, combinatorics, probability, analysis, and problem-solving methods. Geometry alone has more than twelve thousand problems. The site is in Russian.
Why we picked it
School math often boils down to drilling one rule at a time. An olympiad problem is a different animal: you can chew on it all evening, and then the solution turns out to be two lines long. Problems.ru is the biggest Russian-language collection of such problems, and it's put together with care: each one lists its source, grade and a difficulty from 1 to 10, so you can pick something gentle or something brutal. The homepage shows a daily problem — for instance, a train passes an observer in one time and crosses a bridge in another; find its length and speed. A "folklore" section collects puzzles passed from circle to circle with no known author. The design is spartan, but the project is alive: in 2026 it added problems from the Mathematical Festival and the Sharygin geometry olympiad, and moved to a new server at the end of August.
Where to start
- Try the problem of the day before peeking at the solution.
- In the topic catalogue, set your grade and difficulty 1–3 to warm up.
- Browse olympiads and tournaments for Mathematical Festival problems.
- Open the folklore section for math-circle classics.
Who it's for
Students preparing for olympiads, math-circle teachers who need a ready bank of problems, and adults who miss a good puzzle. You'll need to read Russian, though the formulas and diagrams help, and a browser translator handles the word problems.
Quick answers
Who runs it? MCCME with School 57, as stated in the site header.
Can I filter by level? Yes, by grade (5 to 11) and by difficulty (1 to 10).
Are there solutions? Many problems have them, including the daily problem.
