The Ultimate ASVAB Math Course (+FREE Worksheets & Tests)
Welcome to the most complete free ASVAB Math course on the web. Whether you’re enlisting in the Army, Navy, Air Force, Marines, or Coast Guard, your ASVAB score determines which jobs are open to you — and the math sections (Arithmetic Reasoning and Mathematics Knowledge) carry serious weight in that calculation. This hub pulls together everything you need to walk into the ASVAB feeling ready: clear lessons on every math topic, full-length practice tests, formula references, and the books our military-bound students lean on the most.
The ASVAB tests two math areas: Arithmetic Reasoning (word problems involving fractions, percentages, ratios, and basic algebra) and Mathematics Knowledge (algebra, geometry, and number operations). The good news is that the math is foundational — no calculus, no advanced trig — so consistent practice on the basics moves your score quickly.
Bookmark this page. Every link below opens a focused lesson with worked examples and free practice problems.
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The Best Book to Ace the ASVAB Math Test
ASVAB Math Test Prep Resources
Before you dive into the topic-by-topic lessons, get the lay of the land. These guides cover what’s on the test, how it’s scored, and how to put together a study plan that fits your life.
Understanding the ASVAB Math Test
ASVAB Math Complete Course
This is the heart of the course. Each section below is a topic family that the test loves to ask about. Work one section at a time and check your understanding with the practice problems before moving on.
Number Sense, Integers, and Order of Operations
- Opposite Integers
- Number Lines for Integers
- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Order of Operations
- Absolute Value
- Integers and Absolute Value
Fractions, Decimals, and Mixed Numbers
- Simplifying Fractions
- Word Problems: Fractions
- Repeating Decimals
- Convert Between Fractions and Decimals
- Improper Fractions and Mixed Numbers
- Ordering Decimals, Mixed Numbers, and Fractions
- Multiplying Mixed Numbers
- Dividing Mixed Numbers
- Multiplying and Dividing Decimals
Ratios, Proportions, and Percentages
- Writing a Ratio
- Ratio Tables
- Finding Equivalent Ratios
- Equivalent Rates
- Word Problems: Rates and Ratios
- Representing Percentages
- Solving Percentage Word Problems
- Converting Between Percent, Fractions, and Decimals
- Percent Problems
- Simple Interest
Algebraic Expressions and Equations
- Expressions and Equations
- Equivalent Expressions
- Properties to Write Equivalent Expressions
- Exponents in Multiplication
- Prime Factorization with Exponents
- One-Step Equations
- Multi-Step Equations
- Rearranging Multi-Variable Equations
- Factoring Variable Expressions
- Multiplying Rational Expressions
- Adding and Subtracting Rational Expressions
- Writing a Quadratic Function
- Radical Equations
Inequalities and Linear Word Problems
- Writing Inequalities from Number Lines
- Graphing Single-Variable Inequalities
- One-Step Inequalities
- Word Problems: One-Step Inequalities
- Linear Equation and Inequality Word Problems
Geometry: Lines, Angles, and Triangles
- Triangles
- Triangle Inequality
- Sides and Angles of a Triangle
- Area of a Triangle
- Area of a Parallelogram
- Area of a Trapezoid
- Area of Compound Figures
- Word Problems: Area
Solid Figures, Volume, and Coordinate Plane
- Cubes
- Rectangular Prisms
- Word Problems: Volume
- Objects on a Coordinate Plane
- Understanding Quadrants
- Coordinate Planes as Maps
Statistics, Data Analysis, and Probability
- Mean, Median, Mode, and Range
- Mean, Median, Mode from Charts
- Identifying Outliers
- Range, Quartiles, and Interquartile Range
- Pie Graphs
- Line Plots
- Frequency Distribution Tables
- Finding the Probability of an Event
The Perfect Prep Book for the ASVAB Math Test
Frequently Asked Questions
How long do I need to prepare for the ASVAB math sections?
If you’re solid on basic algebra and arithmetic, 3–4 weeks of focused practice (about an hour a day) is usually enough to feel confident. If your math is rusty, plan on 8–10 weeks. The fastest gains come from drilling word problems and practicing under timed conditions — the ASVAB tests speed as much as accuracy.
What math topics are on the ASVAB?
The ASVAB math sections cover arithmetic operations (whole numbers, fractions, decimals, percentages), basic algebra (equations, inequalities, exponents), geometry basics (area, perimeter, volume of common shapes), and word problems involving rates, ratios, and proportions. No calculus, no advanced trigonometry.
Can I use a calculator on the ASVAB math test?
No. The ASVAB does not allow calculators on either the Arithmetic Reasoning or Mathematics Knowledge sections. That’s why mental math fluency and quick estimation skills are key parts of effective ASVAB prep — practice solving problems by hand from day one.
What’s a good ASVAB math score?
Your AFQT (Armed Forces Qualification Test) score is calculated from your math and verbal scores. The minimum AFQT score varies by branch — 31 for the Army, 35 for the Navy, 36 for the Marines, 36 for the Air Force, 40 for the Coast Guard. To open up the widest range of military jobs, aim for 50+. Strong math performance lifts your AFQT meaningfully.
Are these ASVAB math lessons really free?
Yes. Every lesson, worksheet, and practice test linked above is free. The prep books shown on this page are the ones our military-bound students reach for the most when they want a structured resource to work through cover to cover.
Build Your Math Foundation with the Algebra Bundle
Have any questions about the ASVAB Math test?
Drop your question in the comments below — about a specific topic, the test format, study planning, anything — and we’ll reply.
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