Two squares share a vertex. An isosceles triangle connects three others. What fraction is blue?
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Whiskey on the rocks
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Beware of the dots
Two congruent circles and a common tangent. A triangle connecting tangency points and the upper intersection point. What angle α maximises its area?
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Triangular billiards
A ball track starts halfway the left side of an equilateral triangular billiard table having side length 2. After two bounces it arrives in the top corner. What’s the total track length?
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Radioactive material
A circle divided into six congruent sectors. A smaller concentric circle of radius one quarter of the large one. What fraction is black?
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The water container
Five congruent squares each of area 14 support a larger square. What area is shaded?
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The pulley problem
Two pulleys carrying three weights of 30, 70 and 50 grams. Given that the constellation is in equilibrium, what’s the angle?
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The complicated jet
Two congruent squares inside a circle. The extended diagonals meet at the circle circumference. What’s their angle?
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The bird’s-eye tipi
A regular hexagon with triangles to an internal point. What fraction is shaded?
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The drop shadow
Two congruent squares share a vertex. What’s the angle α?
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The distant Alp
A rectangle containing five triangles. What fraction is brown?