Metashkola Olimpiada Po Matematike Zadaniia -

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

A rectangle is divided into three identical smaller rectangles, each with a perimeter of 20 cm. What is the perimeter of the original large rectangle?. metashkola olimpiada po matematike zadaniia

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? A farmer needs to transport a wolf, a

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: You have 9 identical-looking coins, but one is

Find the smallest natural number whose digits sum to 25 and which consists only of different digits. Sequence Logic: Look at the sequence:

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.