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Beginner

The square peg

A square is fitted into an equilateral triangle as shown. What fraction is shaded?

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Beginner

The askew envelope

In a square, an interior point is drawn with an angle to the top vertices of 120°. What’s the angle between the chords formed by the two arcs centered in these vertices?

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Beginner

The fishing net

Two squares and two equilateral triangles. What fraction is hatched?

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Beginner

The broken window

A square is divided into triangles and quadrilaterals as shown. What fraction of the square area is covered by the shaded triangle?

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Beginner

The tilted brick

A rectangle is covering a square such that they share a diagonal and the top side of the square is divided in half as shown. What fraction of the square is covered by the rectangle? And what fraction of the rectangle is covered by the square?

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Beginner

The tilted hourglass

In a square, a diagonal and a line segment cross at the center. They delimit a tilted hourglass. What fraction of the square is shaded?