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Contact
problem

Contact

Age
14 to 16
Challenge level
filled star filled star empty star
A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?
Cyclic Quad Jigsaw
problem

Cyclic quad jigsaw

Age
14 to 16
Challenge level
filled star filled star filled star
A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?