Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

Complete the squares - but be warned some are trickier than they look!

Can you draw perpendicular lines without using a protractor? Investigate how this is possible.

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Can you mark 4 points on a flat surface so that there are only two different distances between them?

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?

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...

Can you work out the fraction of the original triangle that is covered by the inner triangle?

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...

Explain how to construct a regular pentagon accurately using a straight edge and compass.

Join in this ongoing research. Build squares on the sides of a triangle, join the outer vertices forming hexagons, build further rings of squares and quadrilaterals, investigate.

Figures of Eight came out nicely; using some good ideas about area ratio and a very efficient spreadsheet.

Christopher and Tim used different methods, one by solving equations, the other using vector and scalar products.

Gillian Hatch analyses what goes on when mathematical games are used as a pedagogic device.

A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and two properties of the shape.