Compete · Slovenia
Odbirno tekmovanje (qualifying round) 2021
1The figure shows two squares and two congruent circles whose centres lie on a diagonal of the larger square. The smaller square occupies a corner of the larger one, and the diagonal in question runs from …2Find every integer \(n\) that can be written in the form \[ n = \frac{m+2021}{2021-m}, \] where \(m\) is an integer.
Work through the paper in order - each problem opens in the workspace with this paper as its trail.