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...
Construct this design using only compasses
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.
Figures of Eight came out nicely; using some good ideas about area ratio and a very efficient spreadsheet.
Go to last month's problems to see more solutions.
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.