Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
Make a catalogue of curves with various properties.
Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
Find curves which have gradients of +1 or -1 at various points