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The douche cabine

A square containing three smaller squares and a quarter circle. What fraction is orange?

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Beginner

The quarter trampoline

A quarter circle with two chords of given length. What is the area of the orange quadrilateral?

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Outside the hive

A regular hexagon and two squares. What’s the angle α?

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Egg basket II

What fraction of the regular hexagon is yellow?

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Draw the line

A square and an equilateral triangle inside a right triangle. Prove that the three red vertices are collinear.

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Another angle

Three congruent squares share three vertices. What’s the angle α?

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The Czech flag

A square is divided in three parts. What fraction is red?

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Three’s a crowd

Four equilateral triangles. Prove that the red quadrilateral is a parallelogram.

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Ice cube II

A square with an extended side. What’s the angle α?

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Beginner

Sailing by night

A circle with an inscribed quadrilateral. Prove that ab=cd.