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Spike

A triangle with two line segments. What’s the angle α?

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Beginner

Pac-Man pack

Four Pac-Men eat the corners of a square while four others stand guard. What fraction of the square is eaten?

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Beginner

Le col bleu

A square with two line segments. What fraction is blue?

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Advanced

Angle chasing galore

Two intersecting circles with a triangle connecting them. Show that the three red points are collinear.

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Intermediate

Yeah, right!

A regular pentagon with three line segments. What’s the angle α?

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Intermediate

Go Orange

A regular hexagon, two diagonals and an orange equilateral triangle. What’s blue : orange : red?

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Intermediate

Balloon lifting

Three small balloons are in congruent sheds awaiting lift off. The middle shed opens its side flaps. Show that its balloon can inflate, without rolling it, until it is tangent to the sides of the adjacent sheds.

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Beginner

Night mountain

A rectangle containing three line segments. What fraction is blue?

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Advanced

Pink parallels

A pink parallelogram with two extended sides. What’s α : β?

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Beginner

Bowtie II

The red and green wedges subtend the same angle, there are two right angles, and the blue sides have the same length. What is the ratio of lengths of the green and red segments?