The test items of SAT-M require numerical judgment, relational thinking, or insightful and logical reasoning. This test is designed to measure the developed mathematical reasoning ability of 11th and 12th graders. Most students in our study were in the middle of the seventh grade. Few had had formal opportunities to algebra and beyond. Our rationale is that most of these students were unfamiliar with mathematics from algebra onward. and that most who scored high did so because of extraordinary reasoning ability.