Categories
Intermediate

The hanging door

Two congruent rectangles support a third rectangle. What fraction is blue?

Categories
Advanced

The PowerPoint

A point lies 8 from the centre of a circle of radius 6. The angle α is variable. What’s the maximum triangle area?

Categories
Beginner

The kids windmill

Six congruent equilateral triangles placed inside a regular hexagon. What fraction is coloured?

Categories
Beginner

Tall and wide

An equilateral triangle inscribed in a square. What’s the proportion of the red to the blue area?

Categories
Advanced

Who’s afraid of red, yellow and blue?

Three squares. The top line segment is variable in length. What’s the minimal blue fraction?

Categories
Intermediate

The balance sheet

A unit square and a parallelogram. What’s the area of the latter?

Categories
Beginner

Mondriaan in maths

Two squares with areas of 1 and 3 are inscribed in a square frame. What’s the angle?

Categories
Intermediate

The butterfly effect

Two touching circles and two lines passing through the tangency point. What is the area proportion of the two triangles?

Categories
Intermediate

The paper hat

A rectangle and several triangles. The orange triangle has the same area as the green trapezium. What’s the total coloured fraction?

Categories
Beginner

A winter valley

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