In reply to trimtram:
This is my understanding of most competitions
Boulder Comp: How many tries it takes you to get to the top of a problem.
Max points for getting to the top first go. Lots of individual problems in a day.
Leading: How far you get up a route. Each hold corresponds to a number. The top hold has maximum points. The top scorers go on to a harder route and the same happens again until there is a winner.
People seem to assume it's whoever gets to the top first, or that climbing isn't a real sport because they can't imagine they'd ever be a climbing "competition"