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Trinity

Three squares are placed as shown. What fraction of the total area is green?

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Touché

A square containing a rectangle and a tangent quarter circle. What fraction is orange?

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The pine forest

A square containing a quarter circle. What’s the proportion blue : brown : green?

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The star gazer

A square divided by a diagonal and another line segment. What fraction of its area is purple?

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The iglo

A semicircle, a square and a chord. If the square has area 32, what is the semicircle area?

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The dome tent

A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?

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The chess board

A square is divided by six line segments. What fraction is brown?

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Free four

A unit circle with an inscribed square and four semicircles. What’s the sum of the semicircle areas?

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The sand heap

Two squares share a vertex. Three other vertices form a triangle, of which one side length is given. What is its area?

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The full circle

Two squares of area D and J share a vertex while the circle passes through four other vertices. What is the area of the latter in terms of D and J?