final examination vs semifinal

final examination

noun
  • A test given at the end of a period of coursework to determine whether the student has adequately learned the material covered in that period. 

semifinal

noun
  • A competition that narrows a field of contestants (semifinalists) to a set of finalists, for a subsequent final. 

  • A playoff in the round with only four players or teams left, the stage before the final. 

How often have the words final examination and semifinal occurred in a corpus of books? (source: Google Ngram Viewer )