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4 Dom

Use these four dominoes to make a square that has the same number of dots on each side.

Just Rolling Round

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

Quad in Quad

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

Impossible Picture?

Age 14 to 16
Challenge Level
Try cutting some squares of paper up and moving the pieces as shown in the pictures.