Categories
Intermediate

The cleaver

Four squares, a rectangle and a circle. What is the proportion brown : grey?

Categories
Intermediate

Ice cube

A rectangle and a square. What is the proportion purple : blue?

Categories
Intermediate

The hourglass

A rectangle with two crossing line segments. What’s the minimal shaded fraction?

Categories
Beginner

The pillbox

Three touching circles in a rectangle and a common tangent. What’s the angle?

Categories
Beginner

En bloc

Two similar rectangles. If the small one has area 4 what is the area of the large rectangle?

Categories
Intermediate

The doors of perception

Two line segments and three rectangles, two of which have a given area. What is the yellow area?

Categories
Advanced

The balancing block

A rectangle inside a square. One of its sides is tangent to the quarter circle. What fraction is green as x approaches 0?

Categories
Beginner

The color fan

Two congruent rectangles share a vertex. Given that the three coloured areas are equal, what is the width x?

Categories
Beginner

The cross

A rectangle of height 2 is crossed by two line segments at right angles. What is its width?

Categories
Advanced

The Bermuda Triangle

A triangle with an inscribed rectangle. What is the maximum red fraction?