Categories
Beginner

The fried egg

Two concentric circles and two tangents. What is the yellow fraction?

Categories
Intermediate

The piercing

An equilateral triangle containing a right triangle and a line segment. What fraction is pink?

Categories
Intermediate

Boxed in

A square with an inscribed right triangle. What fraction is yellow?

Categories
Intermediate

An equitable portion

A square, its diagonals and a right triangle. What fraction is green?

Categories
Intermediate

Eternal snow

A triangle with two angle bisectors. What fraction of its area is green?

Categories
Beginner

The movie film

Four squares and two shared vertices. What fraction is blue?

Categories
Intermediate

An irregular tiling

A triangle divided by three line segments. What fraction is blue?

Categories
Beginner

The England win

A unit square containing two red overlapping congruent rectangles. If they cover exactly half the square’s area, what is their width x?

Categories
Advanced

The sneak peek

A rectangle with given side lengths is folded back and forth such that the corner touches the opposite side as shown. What is the minimal shaded fraction?

Categories
Advanced

Spiegel im Spiegel

A triangle with an inscribed triangle. What fraction of the former does the latter cover in terms of lengths a, b, c, d, e and f?