Metashkola Olimpiada Po Matematike Zadaniia May 2026

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?

Focus on topics like combinatorics , Dirichlet's principle , and geometric transformations . metashkola olimpiada po matematike zadaniia

Find the smallest natural number whose digits sum to 25 and which consists only of different digits. Sequence Logic: Look at the sequence: At a math circle meeting, 10 students met

You have 9 identical-looking coins, but one is slightly lighter than the rest. Using a balance scale, what is the minimum number of weighings needed to guarantee finding the fake coin? Preparation Resources To prepare for the official rounds, students often use: Find the smallest natural number whose digits sum

The MetaShkola website (Russian language) provides past problems and solutions.

A farmer needs to transport a wolf, a goat, and a cabbage across a river in a boat that can only hold himself and one other item. If left alone, the wolf eats the goat, and the goat eats the cabbage. How many trips across the river are required to get everyone safely to the other side?

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.