If I dig a hole though the earth where will I end up?
This question is responsible for many man hours of procrastination, chat and deliberation, but now someone has created a website that can dispel any arguments. It it called 'If I dig a very deep hole where will I end up' and it does what it says with not much in the way of fanfare: you stick a green flag in the map, click it, and up pops a red flag telling you where you'd end up.

Blurry map of the two flags
Be warned that many holes dug in Australia will bring you up in the middle of the sea, so that old “if I hold a piece of bread here and you go round the other side of the world and hold a piece of bread we'll be making a world sandwich!” chestnut is difficult to arrange from the playgrounds of most Australian primary schools.