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Biggest Bendy

Four rods are hinged at their ends to form a quadrilateral. How can you maximise its area?

Square World

P is a point inside a square ABCD such that PA= 1, PB = 2 and PC = 3. How big is angle APB ?

30-60-90 Polypuzzle

Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.

Just Touching

Age 16 to 18
Challenge Level

Find lengths in terms of the radii of the two red semicircles.