What's special about the area of quadrilaterals drawn in a square?
Can you minimise the amount of wood needed to build the roof of my garden shed?
Just because a problem is impossible doesn't mean it's difficult...
Where should you start, if you want to finish back where you started?
Play around with the Fibonacci sequence and discover some surprising results!
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
