Categories
Beginner

The yellow sailboat

A square, two equilateral triangles and an extended side. What is the proportion yellow : blue?

Categories
Beginner

Mondriaan II

A square contains three squares (black sides), one of which has an extended side (blue). What is the proportion yellow : blue?

Categories
Intermediate

Warning triangle II

A square, a triangle and two equal angles. What is the angle α?

Categories
Beginner

The inner sanctum

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

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?

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
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?

Categories
Beginner

A full house

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