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Beginner

The tumbler doll

A circle within an equilateral triangle within a circle. What fraction is shaded?

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Beginner

The green kimono

An equilateral triangle and three squares. What’s the angle?

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Beginner

The circus tent

A regular octagon is coloured as shown. What fraction of its area is red?

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Beginner

The windshield wipers

A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?

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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 velocipede

Two circles are embedded in a frame of size 9 x 8. What is their total area?

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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 diagonal dilemma

On two faces of a cube a diagonal is drawn that meet in the same vertex. What’s the angle between them?