(1) The Science and Technology Museum is in the west of the Panda Pavilion and south of Xinghua Primary School.

(2) Every day after school, Xiaoming walks 20 meters west to the library, 50 meters south to the gymnasium, and then 30 meters west to his home. Xiaoming walks home from school 100 meters.

So the answer is: west, south;

West 20, South 50, West 30, 100.