Money, Measurement and Unit Conversions

Everyday Financial Math and Earnings

Arithmetic Reasoning questions evaluate your ability to solve practical everyday problems under timed testing conditions. This subtest, along with Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension, makes up the Armed Forces Qualification Test score. While minimum qualifying scores are established by each military branch and are subject to change, mastering practical calculations is essential for success. Since no calculators are permitted on the exam, you must rely on clear, efficient paper-and-pencil computation.

Consumer math problems frequently begin with basic purchasing decisions. For identical items, the pre-tax, pre-discount cost equals the unit price multiplied by the quantity purchased. To evaluate store offers, unit price is calculated by dividing total cost by the number of units or items. Comparing unit prices helps a shopper find the lowest cost per unit, although package size and how much they need also matter. When completing a cash transaction, change due back to a customer is calculated by subtracting the total cost from the cash amount given.

Discounts, taxes, and tips build directly on these basic subtotals using decimals. A discount amount is found by multiplying the original retail price by the discount percentage written in decimal form, and the sale price of an item equals the original price minus the discount amount. Similarly, the sales tax amount is calculated by multiplying the subtotal by the tax rate expressed as a decimal, and the total cost including tax equals the pre-tax subtotal plus the calculated sales tax. For dining scenarios, a tip can be calculated by multiplying the pre-tax meal cost by the chosen tip percentage written as a decimal. In business contexts, profit is determined by subtracting total expenses from total revenue, while simple interest earned or owed equals the principal multiplied by the annual interest rate written as a decimal, then multiplied by the time in years.

Personal earnings questions involve analyzing paycheck components. Regular gross pay equals the regular hourly wage multiplied by regular hours worked. For eligible workers, overtime pay is commonly calculated at one and one-half times the regular hourly rate for hours worked beyond 40 in a workweek; adding any overtime pay to regular gross pay gives total gross pay. Finally, net take-home pay is determined by subtracting all deductions and withholdings from gross earnings.