Surprising numerical patterns can be explained using algebra and diagrams...
Which armies can be arranged in hollow square fighting formations?
What is special about the difference between squares of numbers adjacent to multiples of three?
If you know the perimeter of a right angled triangle, what can you say about the area?
What do you get when you raise a quadratic to the power of a quadratic?
Five equations... five unknowns... can you solve the system?