Categories
Beginner

The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

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Intermediate

Black and blue

A square with an extended side inside another square. What fraction of the latter is blue?

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Beginner

Almost sunk

A square contains a right triangle. What fraction is red?

Categories
Beginner

The triskelion

A circle containing an equilateral triangle and three squares. What fraction is purple?

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Advanced

The Christmas star

Two congruent concentric equilateral triangles. Prove that the gold fraction is red/blue.

Categories
Beginner

The forward lean

A square with a diagonal and an isosceles triangle. What fraction is brown?

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Beginner

The skewed tree

A triangle with a line segment through its centroid and parallel to a side. What faction is dark green?

Categories
Intermediate

Star and stripes

Two concentric congruent squares and two red rectangles. What fraction of the total area is red?

Categories
Beginner

Orange above

A square contains a right triangle. What fraction is orange?

Categories
Beginner

The triangular tiling

A rectangle is divided into four similar triangles. What fraction is blue?