Gillian Endean

Hi, I recently purchased a lovely 3.2 v6 audi tt from my brother in law .. it has a few issues.
Coolant leak, level seems to drop very gradually whilst idaling if i properly rev it coolant disappears out the bottom, but can't see where it's coming from - does this sound like a water pump issue?
Start car from cold and radiator fans kick in straight away, car doesn't over heat stays half way but they run straight away after a few seconds.
It's going to MOT tomorrow as it failed on buckled wheels, bought replacement but didn't know about the coolant leak, worried it's something more sinister. Help!