What scope mount to use on a Remington score master 511p 22 cal rifle?

The Remington Score Master .22 rifle does not come from the factory drilled and tapped for a scope base. If you choose to have that work done, you can buy a set of bases that fit this particular rifles receiver. The most economical bases are those sold by Weaver. The number for the base fitting on the rear of the receiver would be the Weaver top mount, #43. The mount that will fit on the front of the receiver would be the Weaver top mount #42. These bases would require that the top of your rifles receiver be drilled and tapped to accomodate these bases. All of the 500-series Remington rifles (.22 rimfire caliber) have the same type of receiver and use these bases. With these bases you can use one-inch tube diameter scopes and rings to get a better field-of-view and clarity over the low cost 3/4-diameter scopes. Any competent gunsmith will be able to do this work for you.