Categories
Intermediate

The film projector

A square and two congruent circles with three common tangents. What’s yellow : red?

Categories
Beginner

The douche cabine

A square containing three smaller squares and a quarter circle. What fraction is orange?

Categories
Intermediate

Block play

Three squares and two perpendicular line segments. What is red : yellow : blue?

Categories
Beginner

Outside the hive

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

Categories
Intermediate

A fair division II

Two squares sharing a vertex, a diagonal and a line segment. Prove that the two angles are congruent.

Categories
Intermediate

The meeting point

Two squares and an equilateral triangle. The three red line segments meet in a point. What is the yellow fraction?

Categories
Beginner

Draw the line

A square and an equilateral triangle inside a right triangle. Prove that the three red vertices are collinear.

Categories
Beginner

Another angle

Three congruent squares share three vertices. What’s the angle α?

Categories
Intermediate

Voting eccentric

A square with a circle and a tangent. The tangency point lies on the diagonal. What fraction is red?

Categories
Intermediate

The bike chain

A square containing a semicircle, a circle and two tangents. What’s the angle α?