Categories
Intermediate

The double helix

Five equidistant parallel line segments. What’s the proportion green : red?

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

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

Seeing double

Five circles, of which the green circles are congruent and so are the blue ones. If rblue : rgreen= 6, what’s rred : rgreen?

Categories
Beginner

The lever of Archimedes

Two congruent triangles are placed as shown. A line segment passes through the centroid of the yellow triangle. What’s the proportion a : b?

Categories
Advanced

Out of proportion

An equilateral triangle containing a parallelogram, another equilateral triangle and a circular arc that is tangent in its base vertices. What is the proportion pink : blue?

Categories
Beginner

Projection bias

Two regular pentagons are placed side by side. What’s the proportion blue : green?

Categories
Intermediate

Check and balance

A square divided by three line segments. The red and blue areas are equal. What’s the length proportion a : b?

Categories
Advanced

Extreme parallelism

Four parallel line segments, one of which is divided in three parts. What is the proportion blue : red : green?