Outline: ASVAB Arithmetic Reasoning and ASVAB Mathematics Knowledge Study “Cheat” Sheet

The Arithmetic Reasoning section is one out of the two major math sections that is on the Armed Services Vocational Aptitude Battery (ASVAB) military entrance test. Below is a “cheat sheet”, or outline of information, that will be tested on during the Arithmetic Reasoning section of the ASVAB:

ASVAB ARITHMETIC REASONING Download List

1. Divide, Multiply, Add or Subtract the following:
   • Whole Numbers (positive and negative)
   • Decimals (positive and negative)
   • Fractions (positive and negative)
   • Exponents
2. Factorization
3. Least Common Multiple
4. Order of Operations
   • PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)
5. Scientific Notation
6. Change a Fraction to Decimal
7. Change a Decimal to Fraction
8. Square Root
9. Simplify Radicals
10. Factorials
11. Ratios
12. Proportions
13. Rate = Distance ÷ Time
14. Average
    • Mean
    • Median
    • Mode
15. Probability

Here is the outline of topics that will be tested on during the Mathematics Knowledge section of the ASVAB:
ASVAB MATHEMATICS KNOWLEDGE Download List

1. Algebra
   • Expressions
   • Equations
     • Quadratic Equation
       • FOIL (First, Outside, Inner, Last)
   • Substitute variables
   • Inequalities
     • Greater than
     • Less than
2. Geometry
   • Line Segments
     • Perpendicular
     • Parallel
   • Angles
     • Adjacent
     • Right
     • Obtuse
     • Acute
   • Triangles
     • Sub of Interior Angles (180°)
     • Perimeter
     • Area
     • Types
       • Equilateral
       • Isosceles
       • Right
     • Pythagorean Theorem
   • Quadrilaterals
     • Perimeter
     • Area
     • Types
       • Rectangle
       • Square
       • Parallelogram
       • Trapezoid
     • Circles
       • Radius
       • Chord
       • Diameter
       • Circumference
       • Area
     • Rectangular Solids
       • Volume

TEST TIMING

The ASVAB Arithmetic Reasoning section consists of 30 questions you must answer in 36 minutes. The ASVAB Mathematics Knowledge section contains 25 questions that must be answered in 24 minutes. This may not seem like a lot of time to answer all the questions, but most people do finish in time if they have taken ASVAB math practice tests to get familiar with the pace that must be maintained to answer all the questions in time. If you’ve used a course for ASVAB math practice then you can use the above list as a checklist to make sure you study each topic that will be tested on during the Arithmetic Reasoning and Mathematics Knowledge sections of the ASVAB.