Do squirrels remember where they hide nuts?

no. they do not remember were they put their nuts. actually most nuts they dig up are not ones they buried. They find nuts with their sense of smell.

Answer

Yes. Recent studies have shown that squirrels have an amazing sense of spatial awareness that helps them remember where they put the nuts at. In addition to ground coordinates, they have to deal with the elevation as well.

Answer

Yes. As the above answer states, their ability is simply "AMAZING." They use a system of triangulation to remember where they have hidden their food. They triangulate the location of hiding places using what we would call "landmarks." While the human brain might be able to remember 4 or 5 triangulations to locate something, the tiny squirrel brain can remember 300 to 400 triangulations to locate the food they have hidden.