Studies indicate the educational needs of highly gifted students are best met through accelerated learning. It is difficult to recognize very young children that are suited for an accelerated curriculum because younger students frequently lack school records or portfolios used to identify gifted students. This study examined the accuracy of cognitive ability and achievement tests in predicting academic achievement by the end of second grade, correlating test results and final grade averages collected from sixteen children ages five to six who entered a public school program for high-ability learners in kindergarten. A multiple regression analysis indicated the Wechsler Preschool and Primary Scale of Intelligence produced the highest mean IQ score and a strong correlation with reading achievement. The Wechsler Individual Achievement Test contributed in small part to the prediction of academic achievement. The Naglieri Nonverbal Ability Test and the Kaufman Brief Intelligence Test-Second Edition had negative correlations with final grade averages, indicating they are not predictors of academic achievement for these students.