Metashkola — Olimpiada Po Matematike Zadaniia

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)

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? 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? Below is a draft of a sample paper