Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you find its length?
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
What do you get when you raise a quadratic to the power of a quadratic?
