Categories
Beginner

Tension control

Three squares and a line segment of which a vertex is the midpoint. What is the proportion purple : green?

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Intermediate

A new slant

Two squares and a slanted rectangle share three vertices. What is the total area?

Categories
Intermediate

Equilibrium

Three squares and a circle. The areas of the squares are given. What is the area of the circle?

Categories
Intermediate

House of the rising sun

A semicircle, a circle, a square and an equilateral triangle. The two points are the tangency point and the semicircle centre. What fraction of the total area is yellow?

Categories
Intermediate

Il tricolore

Two squares share two vertices. A line segment connects two other vertices, forming the base of three triangles. What is the proportion green : white : red?

Categories
Advanced

Stuck in the middle

A right triangle with semicircles along its perpendicular sides having lengths a and b. Two smaller inscribed circles. What is the proportion blue : red in terms of a and b?

Categories
Intermediate

All the marbles

A circle containing eight touching circles. Circles of equal colour are congruent. What fraction of the total area is coloured?

Categories
Beginner

The drunk spider

A circle with several chords forming four coloured triangles. What is the proportion yellow : purple?

Categories
Beginner

That hill

A triangle is divided in three smaller triangles. What is the proportion yellow : green?

Categories
Advanced

Eye of the apple

A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?