Being resilient

Can you make sense of the three methods to work out what fraction of the total area is shaded?

This problem challenges you to find cubic equations which satisfy different conditions.

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

There are many different methods to solve this geometrical problem - how many can you find?

Do you have enough information to work out the area of the shaded quadrilateral?

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

Like a bit of help getting into the game? Then have a look at this.

Want some suggestions about where to go next with the game?