If you haven't seen it there's a great article about the Police Pistol competitions run each month by the Umarex Boys Club - link to the UBC on here.

Free to enter and great fun - VERY different to 'routine' precision target shooting. And there's a Police Rifle competition too. I shoot in both.

All you need (as well as a suitable pistol/rifle) is some targets printed out - download these from the UBC web site - and a timer/stopwatch. You can get one of these for free from places like Google play.