Math Practice Test Catalog by Topic

Choose a free online math test by topic and practice algebra, geometry, functions, statistics, SAT Math, AP Calculus, and AP Statistics with instant results.

This catalog contains free math tests on various topics and levels. Complete the tasks, get immediate results, and learn from the explanations—this helps you not just "test" yourself, but actually improve your weak areas. Use the catalog for regular practice and preparation for tests, exams, and entrance exams.

Number and Quantity

Test your skills in numbers, operations, rational and irrational numbers, complex numbers, and quantities

Algebra

Practice linear equations, polynomials, quadratic functions, systems of equations, and algebraic expressions

Functions

Master function notation, transformations, inverse functions, exponential and logarithmic functions

Modeling

Apply mathematics to real-world scenarios, create mathematical models, and solve practical problems

Geometry

Test geometry knowledge: shapes, angles, theorems, proofs, transformations, and spatial reasoning

Statistics and Probability

Practice probability theory, data analysis, distributions, hypothesis testing, and statistical inference
AP COURSE

AP Calculus AB

Differential and integral calculus test equivalent to first semester college calculus. Covers limits, derivatives, integrals, and Fundamental Theorem of Calculus
AP COURSE

AP Calculus BC

Extended calculus course including parametric equations, polar coordinates, vector functions, and series. Comprehensive college-level calculus testing
AP COURSE

AP Statistics

College-level statistical analysis and probability theory. Covers exploratory data analysis, sampling, inference, and statistical experiments

SAT math questions

Assignments to prepare for entrance exams that are often used for admission to US colleges and universities.

SAT COURSE

Algebra

Linear equations and inequalities, systems of linear equations/inequalities. Linear functions and graphs (slope, intercepts, equation by points).
SAT COURSE

Problem Solving and Data Analysis

Ratios and proportions, percentages, unit conversions. Reading and interpreting tables and graphs, basic metrics like mean/median (in the context of problems).
SAT COURSE

Advanced Math

Polynomials: expression transformations, factorization, operations with polynomials. Powers and roots (including fractional/negative exponents), rational expressions. Quadratic equations and functions, systems (e.g., linear + quadratic), equations with absolute values, rational/irrational functions, and exponential functions are also encountered.
SAT COURSE

Geometry and Trigonometry

Circles (arcs, sectors, inscribed/central angles), plane equation of a circle. Basic trigonometry: sin, cos, tan, radian unit.

How to Use This Math Practice Test Catalog

This page is designed as a complete math practice catalog for students who want structured, topic-based preparation in one place. Instead of searching for random worksheets or isolated questions, you can move through the main areas of mathematics in a logical order: number skills, algebra, functions, modeling, geometry, and statistics. This makes the catalog useful both for steady long-term study and for targeted review before a school test, placement exam, AP course, or SAT math section.

Each category focuses on a different part of mathematical thinking. Number and Quantity builds confidence with arithmetic structure, rational and irrational numbers, and quantitative reasoning. Algebra develops fluency with equations, expressions, systems, and polynomial work. Functions helps students understand notation, transformations, inverse relationships, exponential behavior, and graph interpretation. Geometry and Statistics add another layer by connecting formulas, visual reasoning, probability, data analysis, and real-world interpretation. Taken together, these topics create a strong foundation for more advanced problem solving.

The catalog also includes advanced tracks for students preparing for specific academic goals. AP Calculus AB, AP Calculus BC, and AP Statistics pages are useful for students who want college-level practice and more challenging exam-style questions. The SAT section is organized by the major tested domains, including Algebra, Problem Solving and Data Analysis, Advanced Math, and Geometry and Trigonometry. Because these sections are separated clearly, students can focus on weak areas without wasting time on topics they already know well.

A good way to use this page is to choose one category, complete a full test, review the explanations carefully, and then return later for another round of practice. Over time, this approach helps improve speed, accuracy, and topic recognition. Whether you are reviewing core math concepts, building exam confidence, or looking for free online math practice with answers, this catalog gives you a simple starting point and a clear path through a wide range of math topics.