Categories
Intermediate

The attic room

A blue square is topped with a right triangle. Using line segments to the top, a green quadrilateral is constructed with at least two right angles. What is the area proportion green : blue?

Categories
Advanced

The rocking cradle

A semicircle and an interior circle are tangent to each other. The chord towards the tangency point is divided in segments of length 1 and 2. What is the pink area?

Categories
Beginner

The final countdown

A right triangle is divided in three right triangles. What is the area proportion A : B : C?

Categories
Intermediate

The only way is up

Two squares and an equilateral triangle. If the yellow area is 1, what is the blue area?

Categories
Intermediate

The colour of spring

A square with a diagonal and a right angle. Two areas are given. How large is the pink area?

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?