How do mountains or craters on the surfaces of the earth and the moon compare with each other?

The biggest difference is the craters on the moon erode at a much slower rate. Here on earth, it takes a few thousand years for a crater to fill in and become not much more than a valley. On the moon, the craters last until ejecta from newer craters fills the holes of the older craters.

The mountains of the earth are covered with snow and below the timberline lie trees. There is no snow or trees on the moon. The mountains on the moon look a lot sharper and the rocks stand out because they're not covered in dust. The lunar mountains look much rounder and the entire surface of the moon is covered in a very thin layer of dust.