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Video: The belly button

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Intermediate

Stars on 45

A square containing a rectangle. What is the red fraction?

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Video: Pandora’s box II

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Intermediate

Staying in line

Three squares and a regular pentagon. Prove that the three red vertices are collinear.

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Beginner

The boot

Two squares and some line segments. Find the relation between the angles α and β.

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Video: What’s your angle?

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Video: Pentagon pleasure

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Intermediate

The belly button

A quarter circle with a right triangle. Prove that the red point is the incentre of this triangle.

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Video: Under the dome

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Intermediate

Pandora’s box II

Five squares and a diagonal. What fraction of the largest square is coloured?