The mathematical olympiad is a popular online competition in Russia designed to challenge students' logical thinking and non-standard problem-solving abilities. Unlike typical school exams, these tasks often require a creative approach rather than just formulaic calculation.
The MetaShkola website (Russian language) provides past problems and solutions. metashkola olimpiada po matematike zadaniia
At a math circle meeting, 10 students met. If every student shook hands with every other student exactly once, how many handshakes were there in total? The mathematical olympiad is a popular online competition
Three people (A, B, and C) are in a room. One always tells the truth, one always lies, and one can do both. A says: "I am the truth-teller." B says: "A is the liar." C says: "I am the one who can do both."Identify who is who. Part 2: Number Theory & Arithmetic (10 points each) At a math circle meeting, 10 students met
Platforms like YouTube offer walkthroughs for similar Russian-style olympiad problems.
A square piece of paper is folded in half twice to form a smaller square. A corner of this small square is cut off. When the paper is unfolded, how many holes will there be, and what shape will they form?
What is the next number in the pattern? Explain the rule used.
