Being resilient

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.

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

What could the half time scores have been in these Olympic hockey matches?

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.