Categories
Intermediate

Tilted hourglass III

A regular hexagon, a circle through its red centre and two line segments. What’s blue : orange?

Categories
Beginner

Flying purple people eater

What is the area of the purple people eater, in terms of the lengths AD and BC?

Categories
Intermediate

Primary colours

An equilateral triangle inside a rectangle. What is red : yellow : blue?

Categories
Beginner

Running man

What is the area of the coloured figure? Can you determine the area without counting the number of squares in each different-coloured shape?

Categories
Intermediate

The party hat II

An equilateral triangle with a circular arc through its red centre and two vertices. If the yellow area equals the green one, what’s the angle α?

Categories
Beginner

The lighthouse

A parallelogram and four equilateral triangles. What is yellow : green?

Categories
Beginner

Tip of the veil

A square with two right angles. What fraction is yellow?

Categories
Beginner

Three dome home

How does the white area inside the big semicircle compare to the combined white areas of the 3 smaller semicircles below it? Equally coloured semicircles are congruent.

Categories
Intermediate

The hex division

A regular hexagon with two diagonals and two perpendiculars. What’s red : yellow?

Categories
Intermediate

The owl of Ceva

A triangle with three concurring cevians. What’s orange : blue?