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

# Category: Beginner

## Mouth to mouth

What is the ratio of the blue and yellow lines?

## Equal rights

Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?

## The boomerang

A quadrilateral and a triangle. What’s the angle α?

## 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?

## The lighthouse

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

## Tip of the veil

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

Some chords and segments inside a semicircle. What is the ratio of red to blue?

## 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.

## Circle sandwich

The red and green child-circles squeeze their father (the blue circle) in the back seat while their mother drives. Show that the orange points where the children sit and where the children are squeezing their father are concyclic.