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Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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?

Exploring Diagonals

Age 11 to 16

Move the top right-hand corner of the rectangle.
Can you work out what the purple number represents?

What would be the dimensions of a rectangle with a purple number of 24? Is there more than one?
If I tell you the coordinates, can you find a quick way to work out the purple number?

What other interesting questions might you explore?