Two overlapping regular pentagons share two vertices. What fraction is the overlap area?
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The bishop’s hat
Month: July 2021
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Surf the wave
A white triangle in a blue square. What is it’s top angle α?
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The screwball ice cream
A circle of radius r touching both sides of a parabola having focal length a. A line segment tangent to the circle is split in two equal segments of length d. What is d in terms of r and a?
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The slippery slope
A semicircle, two squares and a triangle. What is the orange area?
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The leaning tower
A trapezium with it’s diagonals. Two areas are given. What faction is coloured?
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The snowy peak
A triangle is split in two. What is the blue area?
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The tortilla wrap
The edge of a circle is folded to touch a diameter. The tangency point lies 2 from the centre. Given that the fold has length 4, what was the circle area before folding?
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The rolling mill
A rectangle with a semicircle, a quarter circle and a common tangent. What fraction is blue?
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Three stories
Six squares and a diagonal. What fraction is orange?
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The holiday home
An isosceles triangle, a rectangle and two diagonals. What is the proportion green : blue?