Categories
Advanced

The ball pit

Two rectangles contain 6 congruent circles. The common rectangle side passes through the top centre. What’s yellow : red?

Categories
Intermediate

The beehive

Three regular hexagons, one centre and a triangle. What fraction of the total area is orange?

Categories
Beginner

Launch the ball

Express the circle area in terms of the isosceles triangle area A and its side length a.

Author: Marshall W. Buck

Categories
Intermediate

A walk in the park

Two squares sharing a vertex and a line segment. What’s the yellow area?

Categories
Intermediate

The chessboard hallucination

Behold a 13-14-15 triangle. The 15-long side is dissected into 5 equal parts and the 14-long side is dissected into 7 equal parts. What is the difference between the red and green areas?

Author: Marshall W. Buck.

Categories
Intermediate

The personal letter

Two rectangles share two vertices. What’s the green fraction?

Categories
Intermediate

Tumbler doll II

Three squares and a circle. The red point is a common intersection of two square sides and the circle. What is blue : green?

Categories
Intermediate

The Suresh triplet

Two squares share a vertex. What’s blue : green : orange?

Categories
Intermediate

To the max

Two squares and two line segments. If the angle α is maximal, what is yellow : red?

Categories
Beginner

The douche cabine

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