Arithmetic Reasoning

# Arithmetic Reasoning: Solving Word Problems for the ASVAB Arithmetic Reasoning (AR) is one of four components in the AFQT formula (AFQT = AR + MK + 2(VE)) — the score that determines whether you can enlist at all — making it one of the highest-stakes subtests on the entire exam. On the CAT-ASVAB, AR has 15 scored questions and a 55-minute time limit (without tryout items) — the longest time allocation of any subtest. Strong AR performance directly raises your AFQT percentile and also feeds into the GT line score used by the Army and Marine Corps to qualify you for most jobs. --- ## What Arithmetic Reasoning Actually Tests AR is not a pure math test. It is a word problem test. The exam presents real-world scenarios and asks you to translate language into math, set up the right equation, and calculate the answer — all without a calculator. The most common problem types you will encounter: | Problem Type | What It Tests | Key Formula | |---|---|---| | Distance / Rate / Time | Travel scenarios | D = R × T | | Percentage | Discounts, tax, growth | Part = Percent × Whole | | Ratio and Proportion | Comparing quantities | a/b = c/d | | Work Rate | How fast two workers finish a job | 1/A + 1/B = 1/T | | Simple Interest | Money and loans | I = P × R × T | | Basic Probability | Chance of an event | P = Favorable / Total | --- ## Key…