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
Intermediate

Tomba La Bomba

Three regular hexagons inside a circle. Two shared vertices and five vertices on the circle. What’s red : green?

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 dome tent

A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?

Categories
Intermediate

The tightrope dancer

A circle containing an isosceles and two equilateral triangles. What is the proportion orange : blue?

Categories
Intermediate

The hidden pyramid

A triangle with an inscribed equilateral triangle. If areas A and B add up to C, what are the proportions A : B : C?

Categories
Beginner

The chess board

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

Categories
Beginner

Free four

A unit circle with an inscribed square and four semicircles. What’s the sum of the semicircle areas?