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Beginner

The inner sanctum

A square with four congruent equilateral triangles. What fraction is yellow?

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Intermediate

The colour purple

A rectangle is split by two perpendicular lines. The four circles pass through vertices and intersection points. Their centres form a purple quadrilateral. What fraction of the large rectangle area does it cover?

Categories
Intermediate

Marble box II

Two squares, three circles and a common tangent. What fraction is coloured?

Categories
Beginner

Out of the box

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

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Advanced

The lemon slice

A semicircle is inscribed in a quarter circle. What is the minimal yellow fraction?

Categories
Intermediate

Connecting the dots

Three squares share three vertices which form a right triangle. Their centres are connected to form another triangle of which one side is given. What’s the blue area?

Categories
Intermediate

Between the bars

Two parallel lines support two rectangles. Prove they have equal area.

Categories
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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Advanced

The Magdeburg hemispheres

A square containing a circle and two semicircles, all three having the same radius. What fraction is purple?

Categories
Beginner

Band-Aid

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