*As the speed of technological advances accelerated in civilian applications, so too warfare became more industralised. The newly invented machine gun and repeating rifle redefined firepower on the battlefield, and, in part, explains the high casualty rates of the American Civil War. The next breakthrough was the conversion of artillery parks from the muzzle loading guns, to the quicker loading breech loading guns with recoiling barrel that allowed quicker aimed fire and use of a shield. The widespread introduction of low smoke (smokeless) propellant powders since the 1880s also allowed for a great improvement of artillery ranges.*

*High school and postsecondary students can also take the ASVAB test as part of the Department of Defense’s Career Exploration Program. This paper-and-pencil version of the test is the same as the paper-and-pencil enlistment version but excludes the Assembling Objects section. It is intended to help those students considering a career in the military to discover their strengths in both military and civilian jobs. If the student scores high enough in the AFQT section of the test, he may use the score to enlist within the two-year expiration window.*

_{The Armed Forces Qualifying Test, commonly known as the AFQT, is used by the United States military to assess prospective service members. The questions on this test are taken from the Armed Forces Vocational Aptitude Battery. The following ASVAB subject areas are included in the test: arithmetical reasoning (AR), mathematics knowledge (MK), verbal expression (VE), paragraph comprehension (PC), and word knowledge (WK). These are the most general academic content areas on the ASVAB. The formula for computing scores on the AFQT test is AR + MK + (2 x VE), with VE = PC + MK. Scores are then placed in the following categories: Category I (93 to 99), Category II (65 to 92), Category IIIA (50 to 64), Category IIIB (31 to 49), Category IVA (21 to 30), Category IVB (16 to 20), Category IVC (10 to 15), and Category V (0 to 9). These AFQT test score categories are percentiles, which indicate how well the test-taker performed relative to others. A person scoring a 50, for example, performed as well as or better than half of the other test-takers. The percentile score is based on the raw score (number of questions answered correctly) and the difficulty of the test version. The minimum passing score for the AFQT varies between branches of the military. }

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.