Categories
Intermediate

The swinging pyramid

A regular hexagon and two equilateral triangles share a vertex. What is the area proportion blue : yellow?

Categories
Intermediate

Boxcars

Two regular hexagons share two vertices. What fraction of the area is purple?

Categories
Intermediate

The egg basket

A regular hexagon with a diagonal and a line segment connecting a vertex to a point on the other side. The two triangle areas are given. What is the hexagon’s area?

Categories
Intermediate

The chef’s hat

Two regular hexagons connected by a rectangle. Prove that the five vertices lie on a circle.

Categories
Intermediate

The Lion King

Three unit squares form the skeleton of a hexagon. What’s the area of the yellow rectangle?

Categories
Beginner

The bobline

A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?

Categories
Beginner

The kids windmill

Six congruent equilateral triangles placed outside a regular hexagon. What fraction is coloured?

Categories
Beginner

The bird’s-eye tipi

A regular hexagon with triangles to an internal point. What fraction is shaded?