How to Get an A* in A-Level Maths

Did you know there's a Ham Sandwich Theorem?

The Ham Sandwich Theorem states that if you have up to n objects in n-dimensional space, you can cut them all in half with a single (n-1)-dimensional cut

In other words...
if you have a ham + cheese sandwich (ham, cheese and bread in 3D), you can make a cut with the knife (a 2D cut) so that each half has exactly the same amount of ham, cheese, and bread.

Weird! I can't quite see how that's possible! Going to check it out with my lunch. :)