Categories
Beginner

The three day stubble

A regular pentagon and a square share two vertices. What’s the angle α?

Categories
Beginner

Trinity

Three squares are placed as shown. What fraction of the total area is green?

Categories
Intermediate

The obstructed view

A rectangle and two squares of side length a and b respectively. What is the red area in terms of a and b?

Categories
Beginner

Touché

A square containing a rectangle and a tangent quarter circle. What fraction is orange?

Categories
Beginner

The pine forest

A square containing a quarter circle. What’s the proportion blue : brown : green?

Categories
Intermediate

The red sash

Two squares and a rectangle. What is area of the rectangle in terms of square sides a and b?

Categories
Beginner

The star gazer

A square divided by a diagonal and another line segment. What fraction of its area is purple?

Categories
Advanced

The Eightfold Path

A semicircle, a square and an isosceles triangle. What’s the angle α?

Categories
Beginner

The iglo

A semicircle, a square and a chord. If the square has area 32, what is the semicircle area?

Categories
Beginner

The chess board

A square is divided by six line segments. What fraction is brown?