Visualising and representing

In the diagram, the small squares are all the same size. What fraction of the large square is shaded?

Weekly Problem 9 - 2016
The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?

Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

Can you find the connections between linear and quadratic patterns?

There are unexpected discoveries to be made about square numbers...

Sequences of multiples keep cropping up...

Can you explain what is going on in these puzzling number tricks?

Design an arrangement of display boards in the school hall which fits the requirements of different people.

Here's a neat trick you can do with an 11 by 11 square...