The points that the folks have already made are all good places to start. But there is one other consideration that you might take into account before you go too far with changing mounts, etc. Someone mentioned that the problem might be the BSA scope. It isn't the best brand, but even if it's working properly, the question is whether it is a .22 scope or not. When you shop for scopes you'll notice that some manufacturers specifically mention that they are for .22 cal. rifles. That is not just a specification for the size of the scope rail. Generally, even a good .22 cal scope, has the parallax set at less than 100 yards, while a standard scope usually has the parallax set at 100 yards. Parallax is a fancy word that essentially means the optimum focal point of the scope. Look it up on wiki for a better explanation, but the important point here is that if the parallax of the scope you're using is not less than 100 yards, you can shoot all day and never hit the same place twice because each time you look through the scope you will be seeing a slightly different place depending on where you put your eye in relation to the lens. I have seen folks put very, very expensive glass on .22 rifles and be very, very disappointed because of this issue with parallax. Best of luck. Let us know what happens.