Constructions

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

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

Investigate constructible images which contain rational areas.

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

How can you represent the curvature of a cylinder on a flat piece of paper?

Drawing a triangle is not always as easy as you might think!

What fractions can you divide the diagonal of a square into by simple folding?