The Olympic Club

The aim of this activity is to develop the students’ taste in mathematical problem solving.

The problems we deal with are mainly taken from international mathematical contests, like the Belgian Mathematical Olympiad (see http://omb.sbpm.be/) or the International Mathematical Olympiad (see https://www.imo-official.org).

Here’s an example of a geometry problem:

Two red circles with radius r and two green circles with radius t are inscribed in a square like shown in the figure.
The square itself is inscribed in a larger triangle, forming two new triangles whose incircles have radius r (red), respectively R (blue).
Show that R = 2t

Besides geometry, most of the chosen problems come from the areas arithmetic, combinatorial analysis and algebra. The problem solving usually only requires elementary mathematical knowledge and builds mainly on creativity and intuition.

For more information about the “Olympic Club”, please contact our math teachers.

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