Categories
Beginner

The drunk spider

A circle with several chords forming four coloured triangles. What is the proportion yellow : purple?

Categories
Beginner

That hill

A triangle is divided in three smaller triangles. What is the proportion yellow : green?

Categories
Intermediate

Two square pegs

Two squares and a circle. What is the proportion a : b?

Categories
Advanced

Two moons

A rectangle with two congruent circles, a semicircle and a common tangent. What is the proportion of side lengths a : b?

Categories
Intermediate

The rising sun

A rectangle with a circle and a semicircle. What is the proportion red : blue in terms of a and b?

Categories
Beginner

The flying saucer

A quarter circle with four chords. What is the proportion purple : gold?

Categories
Beginner

Missing pieces

A rectangle is divided in six similar triangles. What is the proportion green : yellow : red : blue?

Categories
Beginner

The root cause

A square and an equilateral triangle are divided in several polygons. What is the proportion yellow : blue?

Categories
Intermediate

And counting

A triangle containing an altitude and the inscribed circle. One tangency point is shown. The red line segments have equal length. What is the proportion of the triangle sides a : b : c?

Categories
Beginner

Protection

Two coloured squares inside a triangle inside a square of side length a. What is the length proportion a : b?