Figure 2.7 shows FY 1977 as the low point and FY 1992 as the high point in accessing recruits in Categories I to IIIA. In FY 1977, 34 percent of accessions scored in the top half of the AFQT distribution. Only 13 percent of Blacks, 19 percent of Hispanics, and 20 percent of "Others" scored in Categories I–IIIA. [3] Fifteen years later, in FY 1992, the majority of minority accessions achieved scores in the I–IIIA range (Blacks - 56 percent, Hispanics - 67 percent, "Others" - 67 percent). Hispanics have shown the most marked increase, with a 48-percentage-point gain in Category I to IIIA accessions from FY 1977 to FY 1992.
There is another ASVAB score that's equally important, if not more so, because it is the score that determines if a person is eligible for military service. It's the Armed Forces Qualification Test score, or AFQT score. This score is calculated from only four of the nine Standard Scores on the ASVAB - Arithmetic Reasoning (AR), Mathematics Knowledge (MK), Paragraph Comprehension (PC), and Word Knowledge (WK). First, the WK and PC scores are added together, then the sum is doubled. This is known as the Verbal Expression (VE) score. The VE, MK, and AR scores are then added together, and the sum is the AFQT. This score is a straight percentile measure, expressed as a number from 1-99. The number is the percentage of people who scored lower than the test taker. For example, if a person receives an AFQT score of 63, that means that he did better on the test than 63% of the people who have taken it.

The primary reason for the existence of the military is to engage in combat, should it be required to do so by the national defence policy, and to win. This represents an organisational goal of any military, and the primary focus for military thought through military history. How victory is achieved, and what shape it assumes, is studied by most, if not all, military groups on three levels.

Mathematics Knowledge tests the ability to solve problems by applying knowledge of mathematical concepts and applications. The problems focus on concepts and algorithms, and involve number theory, numeration, algebraic operations and equations, geometry, measurement and probability. Mathematics Knowledge is one factor that characterizes mathematics comprehension; it also assesses logical thinking.