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Sociable cards

American billions

Olympic records

Place your orders

Constructing triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Fence it

Olympic measures

Isosceles triangles
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

All in a jumble

Power mad!
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.



Coordinate patterns

Peaches today, peaches tomorrow...

Rhombus it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Shapely pairs
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Property chart
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Route to infinity
