problem The Farmers' Field Boundary Age 11 to 14 Challenge level The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
problem The square under the hypotenuse Age 14 to 16 Challenge level Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
problem Cool As Ice Age 11 to 16 Challenge level Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
problem Constructing Triangles Age 11 to 14 Challenge level Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
problem A rational search Age 16 to 18 Challenge level Investigate constructible images which contain rational areas.
problem Attractive rotations Age 11 to 14 Challenge level Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
problem Moving Squares Age 14 to 16 Challenge level How can you represent the curvature of a cylinder on a flat piece of paper?
problem Close to triangular Age 14 to 16 Challenge level Drawing a triangle is not always as easy as you might think!
problem Folding Fractions Age 14 to 16 Challenge level What fractions can you divide the diagonal of a square into by simple folding?