Since it has been well established that students? learning and achievements depend hugely on teachers? ability and competency, this study was aimed at investigating the issues of computer literacy and mathematics competency in human resource development among pre-service teachers. Two test instruments, the mathematics competency test (MCT) and the computer appreciation test (CAT) were used for data collection. The study was guided by two research questions and two corresponding null hypotheses tested at the 0.05 level of significance. The result obtained showed that mathematics competency and computer literacy had significant influence on pre-service teachers? performance. Those competent in Mathematics with understanding of computer applications performed better in both MCT and CAT. Gender was also found to be a big criterion in determining the differences in the mathematical and computer skills among pre-service teachers. From these findings, the study recommends that institutions involved in the 21st century teacher preparation programme should ensure that their products are potential teachers with high quality training, rooted in mathematics competency and computer literacy and in tandem with current global best practices.