For the noun "score" it's simply the greek transliteration of the word, i.e. σκορ
For the verb "to score" it's again a "greekisized" version of the same word, i.e. σκοράρω
If you want "pure" greek words a goal in soccer is called τέρμα and a basket in basketball is called καλάθι.
For the action of scoring we say πετυχαίνω τέρμα (somewhat formal, not often used) and πετυχαινω καλάθι (used fairly often).