The PSAT math section covers four content domains: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. You’ll answer 44 questions in 70 minutes, and the material roughly spans what most students learn in Algebra I, Algebra II, Geometry, and introductory statistics courses. Here’s what each domain actually asks you to do.
Algebra
Algebra is the largest chunk of the PSAT math section and focuses entirely on linear relationships. That means equations, inequalities, and functions where the variables aren’t raised to any power higher than one. Specifically, you’ll see questions on:
- Linear equations in one variable, like solving 3x + 7 = 22
- Linear equations in two variables, where you interpret or write equations in forms like y = mx + b
- Linear functions, including reading slope and intercepts from graphs or tables
- Systems of two linear equations, where you solve two equations simultaneously using substitution, elimination, or graphing
- Linear inequalities in one or two variables, which work like equations but use symbols like ≤ or > and sometimes require you to shade a region on a graph
If you’re comfortable solving for x, graphing lines, and understanding what slope and y-intercept represent in a word problem, you’re well-positioned for this domain. Many questions wrap these skills in real-world scenarios, so practice translating word problems into equations.
Advanced Math
This domain steps beyond linear math into the territory most students encounter in Algebra II. The College Board describes it as the content “central for progression to more advanced math courses,” and it covers nonlinear equations and expressions. Expect questions on:
- Equivalent expressions, where you simplify, factor, or expand polynomials and rational expressions
- Nonlinear equations in one variable and systems of equations in two variables, such as solving a quadratic equation or finding where a line intersects a parabola
- Nonlinear functions, including quadratic, exponential, polynomial, radical, rational, and absolute value functions
In practice, this means you should be comfortable with skills like factoring quadratics, using the quadratic formula, understanding exponential growth and decay, and working with expressions that have exponents or square roots. You might be asked to identify the vertex of a parabola, determine what happens to a function as x gets very large, or rewrite an expression in an equivalent form to reveal a specific property.
Problem-Solving and Data Analysis
This domain tests your ability to work with real-world data, ratios, and statistical reasoning. It draws more on logical thinking and number sense than on algebraic manipulation. Topics include:
- Ratios, rates, proportional relationships, and units, such as converting units or setting up proportions
- Percentages and one-variable data, including percent increase/decrease and interpreting data sets
- Distributions and measures of center and spread, meaning questions about mean, median, range, and standard deviation
- Two-variable data, models, and scatterplots, where you interpret a line or curve of best fit
- Probability and conditional probability, often presented through two-way frequency tables
- Inference from sample statistics and margin of error, where you assess what a survey result actually tells you about a larger population
- Evaluating statistical claims, including understanding the difference between observational studies and experiments
You don’t need to memorize formulas for standard deviation or run statistical calculations by hand. The questions focus on whether you understand what these concepts mean and can apply them to interpret data presented in tables, charts, and graphs. For example, you might be given a scatterplot and asked which equation best models the relationship, or shown survey results and asked whether a conclusion is justified based on how the sample was selected.
Geometry and Trigonometry
This is typically the smallest portion of the math section, but it still covers meaningful ground. The questions focus on:
- Area and volume of standard shapes and solids (rectangles, circles, cylinders, cones, spheres)
- Lines, angles, and triangles, including properties of parallel lines, triangle angle sums, and similar triangles
- Right triangles and trigonometry, meaning the Pythagorean theorem plus basic sine, cosine, and tangent ratios
- Circles, including arc length, sector area, and the equation of a circle in the coordinate plane
The trigonometry here is introductory. You need to know SOH-CAH-TOA (the basic trig ratios for right triangles) and how to apply them, but you won’t see advanced trig identities or unit circle problems beyond the basics. Geometry questions often pair a diagram with a multi-step problem, so comfort with setting up equations from visual information is important.
Test Format and Calculator Rules
The PSAT is a digital test taken through the College Board’s Bluebook app. The math section gives you 44 questions across 70 minutes, which works out to roughly a minute and a half per question. Most questions are multiple choice with four answer options. Some are “student-produced responses” where you type in a numerical answer rather than choosing from a list.
You can use a calculator on every math question. The Bluebook app has a built-in Desmos graphing calculator that you can toggle between graphing and scientific modes at any point. You can also bring your own handheld calculator, as long as it doesn’t have computer algebra system (CAS) functionality, a QWERTY keyboard, or wireless/internet connectivity. Standard graphing calculators, scientific calculators, and basic four-function calculators are all fine. If your calculator has any programs that solve equations symbolically, you need to remove them before test day.
The Desmos tool is especially useful for visualizing functions, checking solutions to equations, and graphing lines to find intersection points. Practicing with it before the test can save you significant time, particularly on Advanced Math and Algebra questions where graphing reveals the answer quickly.
How to Prepare by Domain
Since the four domains cover distinct skill sets, you can target your study time based on where you’re weakest. If you’re currently taking Algebra I or just finished it, the Algebra domain will feel familiar, but you’ll want extra practice with the Advanced Math topics that draw from Algebra II. If you haven’t taken a statistics course, spend time with the Problem-Solving and Data Analysis material, particularly probability, scatterplots, and margin of error, since those concepts may not have come up in your regular math classes yet.
For Geometry and Trigonometry, review the core formulas for area, volume, and the Pythagorean theorem. The test provides a reference sheet with some formulas, but being fluent with them saves time. For right triangle trigonometry, make sure you can set up and solve for a missing side or angle using sine, cosine, and tangent.
College Board offers free practice through Khan Academy that’s aligned to these four domains, letting you drill specific question types rather than working through random problems. Since the test is adaptive (the difficulty of your second module depends on how you performed on the first), building consistency across all four areas matters more than going deep on just one.