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Advanced

Slightly skewed

Two overlapping equilateral triangles with side lengths 1. What is the total red length?

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Intermediate

The same channel

Two circles and two common tangents. Prove that the blue triangle is isosceles.

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Beginner

Overhanging rock

A rectangle with three line segments. What’s the proportion red : yellow?

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Intermediate

Le Petit Nicolas

Two parallel squares with four line segments connecting opposing vertices. Prove that they pass through a single point.

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Intermediate

Emerging from water

Two squares and an extended side. What’s red : green : pink?

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Advanced

Angel wings

A circle with four chords and a diameter. What’s the proportion blue : green?

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Intermediate

The secret document

One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?

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Beginner

The movie film

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

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Intermediate

An irregular tiling

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

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Beginner

The guylines

Two squares and an extended side. What’s the angle α?