OK here is one I love:
What is heavier a pound of feathers or a pound of gold? - Oh we have all heard that one - The answer is neither right! WRONG! A pound of feathers would be measured in pounds avoirdupois (16 ounces to the pound - 453.6g) while the gold would be measured in pounds troy (for precious metals) at 14 troy ounces to the pound (373.2g). Just when you thought you had heard it all.
Cheers Ann