Categories
Intermediate

Star and stripes

Two concentric congruent squares and two red rectangles. What fraction of the total area is red?

Categories
Intermediate

Letting go

Two squares share a vertex. Three other vertices are collinear. What is the area proportion of the blue to the red square?

Categories
Beginner

Orange above

A square contains a right triangle. What fraction is orange?

Categories
Beginner

Four to twelve

A regular dodecagon and a square share two vertices. What is the area proportion square : dodecagon?

Categories
Intermediate

The mahogany triangle

A square contains an isosceles triangle with an extended altitude. What fraction is mahogany?

Categories
Intermediate

Eight corners

A regular octagon with two diagonals and two squares. What’s the area proportion of the blue to the red square?

Categories
Advanced

The oppressed minority

A square with two inscribed squares. What is the maximal proportion green : blue?

Categories
Beginner

Easing it down

Three squares share three vertices. What’s the angle α?

Categories
Intermediate

Pointing upwards

A square containing two equilateral triangles. What’s the proportion blue : orange?

Categories
Intermediate

Five to twelve

A square and a rectangle share two vertices. If the square has twice the area of the rectangle, what’s the angle α?