# 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:

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
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:

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