Categories
Beginner

The bobline

A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?

Categories
Beginner

The horse’s head

Two congruent right triangles share a vertex. If the overlap represents 1/7 of the total area, what’s the angle?

Categories
Intermediate

Mars rover has landed

Two semicircles and two right triangles. What fraction of the large triangle does the small one cover?

Categories
Intermediate

Two hefty volumes

Two congruent rectangles inscribed in a square. What fraction of the area is blue?

Categories
Intermediate

Mini and Maxi

Two squares of area 1 and 4 are inscribed in their own triangle and placed as shown. What fraction is coloured?

Categories
Intermediate

Turning tables

Two squares share a vertex. What fraction of the area is the overlap region?

Categories
Intermediate

The hanging door

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

Categories
Beginner

The kids windmill

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

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 paper hat

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