You drive them with a #2 Phillips driver. Most, but not all, drywall screws have threads that extend all the way to the head.

One and one-quarter-inch coarse-threaded drywall screws with bugle-shaped heads are used for 1/2-inch drywall. Screws in ceilings should be placed along each edge and then 12-inches on center in ...

For larger repairs, a drywall saw, screws, repair clips, mesh drywall tape, and an extra pieces of drywall may also be necessary. There's are a wide variety of wall repair patch kits out there.