Visualising and representing

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Which armies can be arranged in hollow square fighting formations?

Surprising numerical patterns can be explained using algebra and diagrams...

Match the cumulative frequency curves with their corresponding box plots.

Is it possible to find the angles in this rather special isosceles triangle?

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

Can you work out the dimensions of the three cubes?

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

Can you explain the surprising results Jo found when she calculated the difference between square numbers?