Categories
Beginner

A winter valley

A rectangle and two triangles. What’s the total area?

Categories
Beginner

The distant Alp

A rectangle containing five triangles. What fraction is brown?

Categories
Beginner

New Year 2021

Three squares are placed as shown. Given that the green areas are equal, what is the side length of the orange square?

Categories
Beginner

An Italian hill

Two semicircles inside a rectangle. What is the proportion of the red to the green area?

Categories
Intermediate

Domino day

Three congruent rectangles consisting of two squares each are placed as shown. What is the blue area?

Categories
Intermediate

The ace of diamonds

Four congruent right triangles form a rectangle. What fraction is red?

Categories
Intermediate

The hunting horn

Two semicircles and four tangents. What’s the area of the orange rectangle?

Categories
Intermediate

The rubber rotation

Two overlapping rectangles. What is the proportion of their areas? All triangles in the diagram are right.

Categories
Beginner

The warning triangle

An equilateral triangle contains three congruent rectangles. Two distances on its base are given. What fraction is white?

Categories
Beginner

The windshield wipers

A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?