That's right. Slow fire is usually the name of that game but sometime they also shoot rapid fire and duello. some times it is a combo of all three for a composite score. (Duello is where the targets turn for a second or two.) Then there is PPC, IPSC, Action and or Cowboy shoots. Rifle I think has bench rest, silhoutetta, biathelon, high power, running boar, small bore, action or Cowboy, assult rifle, sniper courses. There's a ton of different rifle matches but much less handgun but bullseye is always piston.
Wednesday is Club night at my handgun club and there's always a bullseye match going on.