There has been increased interest in emphasizing Achievement Tests, as SAT II: Subject Tests, for use in admission and placement. In this report, data was obtained from a comprehensive database of categorized course grades for a large number and great variety of colleges, with student groups identified. For each student group, the percentage of SAT takers who took any Achievement test and the percentage of Achievement Test takers who took each specific test are determined. The performance of those who took each Achievement Test is compared with the performance of the same students on the verbal section of the SAT (for English, history, and foreign language tests), the mathematical section of the SAT (for mathematics tests), or the sum of the verbal and mathematical scores on the SAT (for science tests and the average of all of a student's Achievement Test scores). The predictive effectiveness of each Achievement Test is determined for predicting freshman grade-point average, alone and in combination with high school grade-point average and SAT scores, and for predicting grades in each kind of course. Finally, one aspect of fairness of each Achievement Test for each student group is evaluated in terms of average over- and under-predictions. The following are appended: (1) Colleges Participating in the Study; and (2) Course Categories.