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Out of the box

Two squares and two given areas. What’s the total area?

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Beginner

Mount Fuji

An equilateral triangle inscribed in a circle is divided by a diameter parallel to one of it’s sides. What is the proportion light : dark blue?

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Band-Aid

Five unit squares inside a larger square. What is the total area?

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A full house

Two large squares and three smaller ones of side length 5 are placed as shown. What is the pink area?

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The stained glass

Two congruent rectangles are placed side by side. Two line segments form two coloured quadrilaterals and three triangles. What is the proportion purple : green?

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Partial eclipse II

Two diagonals of a circle are tangent to another circle. The chord passes through the tangency point. If the smaller circle has area 3, what is the area of the larger one?

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Surf the wave

A white triangle in a blue square. What is it’s top angle α?

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The leaning tower

A trapezium with it’s diagonals. Two areas are given. What faction is coloured?

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The snowy peak

A triangle is split in two. What is the blue area?

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Three stories

Six squares and a diagonal. What fraction is orange?