This paper examines students' performance in Non-verbal Intelligence tests relative academic achievement of some selected secondary school students. Two hypotheses were formulated with a view to generating data for the ease of analyses. Two non-verbal intelligent tests viz: Raven's Standard Progressive Matrices (SPM) and AH[subscript 4] Part II Non-verbal Reasoning Tests were compared vis-à-vis the academic achievements in order to determine the differences in students' academic achievement. The non-verbal intelligence tests mainly measured the general intelligence as in accuracy of discrimination, establishing logical relations, permutations, visual acuity and perceptual speed among others. The findings revealed that there was no significant relationship in students' performance in Standard Progressive Matrices (SPM) and academic achievements of students; while significant relationship was established between AH[subscript 4] Part II Nonverbal Reasoning Test. The findings therefore recommend that non-verbal intelligence test could be utilized to predict achievements especially where language problem seems to be prominent, thus, peaceful co-existence will prevail among student by streamlining their abilities in multi-dimensional approach. [This paper was presented at the Multi-cultural African Conference: Repositioning Education for Access, Quality and Peaceful Co-existence (2nd, Faculty of Education, Ahmadu Bello University, Zaria-Nigeria, August 12-16, 2014).]