Categories
Intermediate

A nice percentage

An orange square and a blue rectangle with two congruent inscribed circles. What is the angle α?

Categories
Intermediate

Sliding down

Two squares share a vertex. One line segment connects their centres, another two vertices. What is the length proportion blue : red?

Categories
Beginner

The remote corner

A square and a circle. What is the green area?

Categories
Intermediate

Fair and square

Two squares of which three vertices form an isosceles triangle. What is the angle α?

Categories
Intermediate

The push-up

Two squares share a vertex. What’s the proportion x : y in terms of side lengths a and b?

Categories
Beginner

The glass ceiling

Three squares, two of which share a vertex. What is the total area?

Categories
Beginner

Three folds

A square divided by three line segments. What’s the proportion yellow : purple?

Categories
Beginner

Opposing camps

A square containing two overlapping equilateral triangles. What’s the length proportion a : b?

Categories
Intermediate

Égalité

A square with its diagonal and a circle. If red is equal to blue, what’s the angle α?

Categories
Beginner

The green necktie

A square with several line segments. What fraction is green?