Two semicircles and a square. If the smaller diameter is 24, what is the larger?
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The bolete
Tag: square
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The mouse and the elephant
Two squares and a semicircle of diameter 4. What is the total square area?
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The green flag
A square of side length 2 shares a vertex with another square that is elongated to form a green rectangle. What is the rectangle area?
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The washing line
Three squares and three common vertices. Prove that the quadrilateral ABCD is a rectangle.
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The rabbit hole
Three quarters of a unit square placed at the origin are shaded as shown. The remaining quarter is treated similarly but mirrored, and so on to infinity. What are the coordinates of the vanishing point?
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Up and down
A semicircle and a square. Three secants and a tangent form two triangles. What is their area proportion?
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Pandora’s box
A square containing five other squares. What fraction is coloured?
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Hold the line
Two squares and two equilateral triangles. Prove the three points are collinear.
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The Common Snowdrop
A square contains a smaller square. Their vertices are cyclically connected as shown, forming four triangles. What is the minimal green area fraction?
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The Lion King
Three unit squares form the skeleton of a hexagon. What’s the area of the yellow rectangle?