Categories
Beginner

The see-through triangle

A regular hexagon and an equilateral triangle share a vertex. What is red : blue?

Categories
Intermediate

Go Orange

A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?

Categories
Advanced

Roll over Beethoven

Two regular hexagons share a vertex. If the red hexagon has area 4, what is the area of the blue one?

Categories
Advanced

The hexagonal dart board

25 darts land inside a regular-hexagonal dart board with edge length the square root of 3. Show that at least five of the darts land inside the same unit circle.

Categories
Intermediate

Your turn

A regular hexagon of which the centre is a vertex of an equilateral triangle. What is the angle α?

Categories
Intermediate

The beehive

Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?

Categories
Beginner

Outside the hive

A regular hexagon and two squares. What’s the angle α?

Categories
Beginner

Egg basket II

What fraction of the regular hexagon is yellow?

Categories
Intermediate

A square deal II

A regular hexagon and a square share a vertex. What’s green : red?

Categories
Beginner

And rightly so

A regular hexagon with a diagonal and a right triangle. What fraction is orange?