ASVAB Math Course: Free Lessons, Worksheets and Practice

Use this free ASVAB math course as a self-paced lesson map for Arithmetic Reasoning and Mathematics Knowledge. Arithmetic Reasoning focuses on arithmetic word problems; Mathematics Knowledge checks high school mathematics principles. Start with a skill you find difficult, review its lesson, and then try matching practice without a calculator.

This is an independent Effortless Math study resource. It is not the official ASVAB, an enlistment qualification, or a prediction of your score. The official ASVAB sample questions show the two math subtests and the other subjects on the exam.

Optional ASVAB book practice

The lesson links and worksheet collection are free to open. If you prefer a book alongside them, inspect the ASVAB Math for Beginners preview pages before choosing the separately priced book below.

ASVAB Math for Beginners 2026 The Ultimate Step by Step Guide to Preparing for the ASVAB Math Test

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.

Rated 4.44 out of 5 based on 240 customer ratings

Satisfied 226 Students

ASVAB Math Test Prep Resources

Use the practice link below for mixed review, or return to the ASVAB Online Center for study routes. A practice result helps you choose what to review; it is not an official AFQT score.

Understanding the ASVAB Math Test

• Full-Length ASVAB Math Practice Test

ASVAB Math Complete Course

Choose a topic group below. Start with arithmetic and word problems for Arithmetic Reasoning, then use the algebra and geometry lessons for Mathematics Knowledge. This is a review library, not an official item-by-item test blueprint; some linked lessons offer broader background practice.

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

Frequently Asked Questions

How long do I need to prepare for the ASVAB math sections?

Base your study schedule on the skills you can solve independently and the time you have before testing. Begin with a short practice session, identify repeated mistakes, and revisit those topics. A fixed number of weeks does not guarantee readiness or a particular score.

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?

The AFQT combines Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension. It is reported as a percentile, not a percentage correct. Enlistment and job requirements depend on the service and applicant situation; confirm current requirements with your recruiter. The official ASVAB FAQs explain how math and verbal scores contribute.

Are these ASVAB math lessons really free?

The public lessons and printable worksheet collection can be opened without buying a book. Optional books shown on this page are separate purchases with their prices displayed. Use the book preview to assess the level and presentation before purchasing.

Build Your Math Foundation with the Algebra Bundle

The Ultimate Algebra Bundle 2026 From Pre-Algebra to Algebra II

Download

$109.99 Original price was: $109.99.$54.99Current price is: $54.99.

Have any questions about the ASVAB Math test?

You can ask a study question in the comments below after signing in. For test scheduling, enlistment eligibility, and current service requirements, contact your recruiter.