This research examines the strength of agreement of students' academic performances for their first and graduating year in the University using Cohen's kappa. Academic records of 710 students which consist of students Grade Point Average (GPA) and Cumulative Grade Point Average (CGPA) for their first and graduating year for three engineering department (Information Communication engineering, Mechanical engineering, and Petroleum engineering department) in Covenant University, during the 2005/2006 academic session were followed-up to their year of graduation in 2010. The main objective of this paper is to examine the final academic performances of students in the University based on specific information regarding their academic performances during their first year at the University. This study reveals that a strong agreement exists between the students' first and graduating year academic performance in their result. This work will serve as a useful counseling guide to prospective admission seekers into the Universities and all the stakeholders at enhancing students' academic performances in the University system.