What Kind of Math Is on the ASVAB Test?
The Armed Services Vocational Aptitude Battery (ASVAB) has been administered by the Department of Defense since 1968 and has been used by approximately 40 million people since then. It is a valuable talent test that measures the strengths and potential of young adults to succeed in military training.
ASVAB test scores range from 1 to 99 and all questions are multiple-choice. There are three types of ASVAB:
- The CAT-ASVAB (computer adaptive test)
- The MET-site ASVAB (paper and pencil (P&P)
- The Student ASVAB (paper and pencil (P&P)
The ASVAB test includes various sections, which include: Auto and Shop Information, General Science, Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, Paragraph Comprehension, Electronics Information, Mechanical Comprehension.
The CAT-ASVAB test is a computer and adaptive test, which means that if you answer the question correctly, the next question will be more difficult, and if you answer incorrectly, the next question will be easier. It is also not possible to go back to the previous question and correct it, while in the paper and pencil (P&P) test you can do this.
In the computer adaptive exam, there are 16 questions for each of the Arithmetic Reasoning and Mathematics Knowledge sections, but in the paper and pencil (P&P) exam there are 30 questions for the Arithmetic Reasoning section and 25 questions for the Mathematics Knowledge section. Using the calculator in the ASVAB test is not allowed.
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Arithmetic Reasoning
In the Arithmetic reasoning subtest, what matters is how good you are at solving basic arithmetic problems. In this section, you will encounter questions about word problems that you need to solve in one step or several steps. At this stage, you have the skills of addition, subtraction, multiplication, division. if necessary is more than one stage of operation, you need to know the correct order of operations. Other items that you must master in this subtest are operations with whole numbers, operations with rational numbers, ratio and proportion, interest, measurement, and percentage.
Math Knowledge
In this section, your knowledge and understanding of the concepts of mathematics will be evaluated. You should be able to solve problems using the concepts of mathematics. Contents in this subtest include number theory, numeration, algebraic operations and equations, geometry, measurement, and probability. It is better to master the rules of algebra and geometry to get an excellent score in this area.
| math sections | topics | Number of questions | |
| #1 | Arithmetic Reasoning | Adding and Subtracting Integers, Multiplying and Dividing Integers, Order of Operations, Ordering Integers and Numbers, Integers and Absolute Value, Simplifying Ratios, Proportional Ratios, Similarity and Ratios, Percentage Calculations, Percent Problems, Discount, Tax and Tip, Percent of Increase and Decrease Simple Interest | 16 |
| #2 | Math Knowledge | Simplifying Variable Expressions, Simplifying Polynomial Expressions, Translate Phrases into an Algebraic Statement, The Distributive Property, Evaluating One Variable Expression, Evaluating Two Variables Expressions, Combining like Terms, Pythagorean Theorem, Triangles, Polygons, Trapezoids, Circles, Cubes, Rectangular Prism, Cylinder, Mean, Median, Mode, and Range, Histograms, Pie Graph, Probability Problems, Combinations and Permutations, Polynomials, Multiplication Property of Exponents, Division Property of Exponents, Zero and Negative Exponents, Powers of Products and Quotients, Negative Exponents and Negative Bases, Scientific Notation, Radicals, Linear Functions, Equations and Inequalities | 16 |
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Complete List of ASVAB Math Topics
Fractions and Decimals
- Simplifying Fractions
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Adding Mixed Numbers
- Subtracting Mixed Numbers
- Multiplying Mixed Numbers
- Dividing Mixed Numbers
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Comparing Decimals
- Rounding Decimals
- Factoring Numbers
- Greatest Common Factor
- Least Common Multiple
Real Numbers and Integers
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Order of Operations
- Ordering Integers and Numbers
- Integers and Absolute Value
Proportions, Ratios, and Percent
- Simplifying Ratios
- Proportional Ratios
- Similarity and Ratios
- Percentage Calculations
- Percent Problems
- Discount, Tax and Tip
- Percent of Increase and Decrease
- Simple Interest
Algebraic Expressions
- Simplifying Variable Expressions
- Simplifying Polynomial Expressions
- Translate Phrases into an Algebraic Statement
- The Distributive Property
- Evaluating One Variable Expressions
- Evaluating Two Variables Expressions
- Combining like Terms
Equations and Inequalities
- One-Step Equations
- Multi-Step Equations
- Graphing Single–Variable Inequalities
- One-Step Inequalities
- Multi-Step Inequalities
- Systems of Equations
Linear Functions
- Finding Slope
- Graphing Lines Using Standard Form
- Graphing Lines Using Slope-Intercept Form
- Writing Linear Equations
- Graphing Linear Inequalities
- Finding Midpoint
- Finding Distance of Two Points
Exponents and Radicals
- Multiplication Property of Exponents
- Division Property of Exponents
- Zero and Negative Exponents
- Powers of Products and Quotients
- Negative Exponents and Negative Bases
- Scientific Notation
- Radicals
Polynomials
- Writing Polynomials in Standard Form
- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying Monomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Operations with Polynomials
Geometry and Solid Figures
Statistics and Probability
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