usually "skor" used for value of the competition/match/tournament. Example for soccer skor 3-1, 2-0, etc. But "nilai" same with value or mark, can be good or bad.
Contoh kalimatnya :
Skornya berapa? 2-2 (2 sama)
Nilaimu berapa? lumayan bagus (good enough), dapat (get) 8. (scale 0-10)