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Bullet train

What is the ratio of orange and green areas? (The orange triangle is 45-45-90)

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Roly poly doll

Two circles with diameters (green and orange) from one of the intersection points. Show that the other intersection point of the circles is on the (purple dotted) line connecting the other ends of the diameters.

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Flying purple people eater

What is the area of the purple people eater, in terms of the lengths AD and BC?

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Mouth to mouth

What is the ratio of the blue and yellow lines?

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Equal rights

Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?

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The boomerang

A quadrilateral and a triangle. What’s the angle α?

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Running man

What is the area of the coloured figure? Can you determine the area without counting the number of squares in each different-coloured shape?

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The lighthouse

A parallelogram and four equilateral triangles. What is yellow : green?

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Tip of the veil

A square with two right angles. What fraction is yellow?

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Beginner

Carapace

Some chords and segments inside a semicircle. What is the ratio of red to blue?