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Out of proportion

An equilateral triangle containing a parallelogram, another equilateral triangle and a circular arc that is tangent in its base vertices. What is the proportion pink : blue?

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Beginner

Projection bias

Two regular pentagons are placed side by side. What’s the proportion blue : green?

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Intermediate

Check and balance

A square divided by three line segments. The red and blue areas are equal. What’s the length proportion a : b?

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Advanced

Extreme parallelism

Four parallel line segments, one of which is divided in three parts. What is the proportion blue : red : green?

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Beginner

Parallelism

A trapezium with its diagonals and a parallel line segment. What’s the proportion blue : red?

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Beginner

The Common Brimstone

A square divided by three line segments. What’s the proportion green : yellow?

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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

The fish bowl

A circle with an inscribed triangle, a tangent and two bisected angles. What is the length proportion of the red and green line segments?

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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?

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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?