Metashkola Olimpiada Po Matematike Zadaniia May 2026

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)

Focus on topics like combinatorics , Dirichlet's principle , and geometric transformations .

Platforms like YouTube offer walkthroughs for similar Russian-style olympiad problems. 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:

The MetaShkola website (Russian language) provides past problems and solutions. Three people (A, B, and C) are in a room

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:

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? Part 2: Number Theory & Arithmetic (10 points

Below is a draft of a sample paper structured similarly to a mid-level MetaShkola competition (suitable for grades 5–7). Time Allowed: 60 minutes Total Points: 100 Part 1: Logical Reasoning (5 points each)