This page is the map. Below you'll find every content domain and subtopic the digital SAT Math section actually tests, with free practice questions for each one. Use it to jump straight to the topic you need, or work through it domain by domain.
The digital SAT organizes Math into four content domains, split into 19 official College Board subtopics. Every subtopic on GetSATMath's free SAT Math practice has Easy, Medium, and Hard sets of about 22 timed questions, instantly scored, with a full worked explanation for every question — no signup required to start. If you want the bigger picture of how the section is structured before diving into topics, our overview of what's tested on SAT Math is a good starting point.
Algebra (5 subtopics)
Algebra is the largest single domain on the test and the foundation for almost everything else in Advanced Math. It covers:
- Linear equations in one variable
- Linear functions
- Linear equations in two variables
- Systems of two linear equations in two variables
- Linear inequalities in one or two variables
If your algebra fundamentals are shaky, this is where to start — weak algebra tends to drag down scores in the other three domains too, since nonlinear and geometry questions often reduce to a linear equation somewhere in the solution. Within these five subtopics, the two that trip up the most students are systems of equations (especially recognizing when a system has no solution or infinite solutions from the coefficients alone) and inequalities, where forgetting to flip the sign on multiplication or division by a negative number is a classic, entirely avoidable point-loser. See our full Algebra practice sets for topic-by-topic breakdowns and sample questions.
Advanced Math (3 subtopics)
Advanced Math builds directly on algebra and covers:
- Nonlinear functions
- Nonlinear equations in one variable and systems of equations in two variables
- Equivalent expressions
This domain includes quadratics, exponential functions, and rewriting expressions — skills that show up constantly in the higher-difficulty questions on the test. Equivalent expressions in particular rewards fluency with factoring and expanding, since many "Hard" questions are really just an Easy question wearing a disguised algebraic form. Nonlinear equations and systems often ask you to find where a line and a parabola intersect, or to reason about the number of solutions a quadratic has without ever solving it explicitly. Our Advanced Math practice questions hub covers all three subtopics with worked examples.
Problem-Solving and Data Analysis (7 subtopics)
This is the most varied domain, and the one students underestimate most. It includes:
- Ratios, rates, proportional relationships, and units
- Percentages
- One-variable data: distributions and measures of center and spread
- Two-variable data: models and scatterplots
- Probability and conditional probability
- Inference from sample statistics and margin of error
- Evaluating statistical claims: observational studies and experiments
Seven subtopics means seven different question "flavors," and each one rewards a slightly different reading strategy. The two statistics-adjacent subtopics — inference from sample statistics and evaluating statistical claims — are the ones students see least often in school, so they're worth extra attention even though each individually shows up less frequently than percentages or ratios. Start with the Problem-Solving and Data Analysis practice questions hub to work through them individually rather than lumping them together.
Geometry and Trigonometry (4 subtopics)
The smallest domain by question count, but still worth dedicated practice:
- Area and volume
- Lines, angles, and triangles
- Right triangles and trigonometry
- Circles
Many students haven't touched geometry or trig since an earlier school year, so this domain often has the highest "quick win" potential — a short refresher can raise your score fast. Right triangles and trigonometry is usually the subtopic that needs the most re-learning, since it depends on remembering sine, cosine, and tangent relationships that fade quickly without regular use. Circles, by contrast, tends to be more about carefully applying a small set of formulas — arc length, sector area, and the relationship between central and inscribed angles — than about deep conceptual difficulty. Visit the Geometry and Trigonometry practice questions hub for all four subtopics.
| Domain | Subtopics | What it mostly tests |
|---|---|---|
| Algebra | 5 | Solving and interpreting linear equations, functions, and inequalities |
| Advanced Math | 3 | Nonlinear functions, quadratics, and rewriting expressions |
| Problem-Solving & Data Analysis | 7 | Ratios, percentages, statistics, probability, and study design |
| Geometry & Trigonometry | 4 | Area, volume, triangles, circles, and right-triangle trig |
How the digital format shapes what "practice" should look like
The digital SAT delivers Math in two timed modules rather than one long section, and the questions are presented one at a time with an on-screen, built-in Desmos graphing calculator available for the entire section. That structure matters for how you should practice: you want reps that are timed, scored immediately, and worked on with the same calculator you'll actually use on test day, rather than untimed practice on paper followed by a manual answer check. It's also part of why practicing by subtopic first, rather than jumping straight into mixed full-length tests, makes sense early in prep — a fixed, single-subtopic set removes the module-to-module variation and lets you isolate exactly one skill at a time.
How to actually use this practice library
Having 19 subtopics of practice available doesn't help much without a plan. Here's the order we'd recommend:
- Start with a diagnostic. Before grinding every subtopic equally, figure out which ones you're actually weak in. See how to find your weak topics with an SAT Math diagnostic.
- Pick the right difficulty. Easy, Medium, and Hard sets aren't just "more of the same but harder" — they test different question patterns. Our guide to SAT Math practice by difficulty explains how to choose.
- Understand how the sets are built. If you're curious how topic-wise question banks are organized and why retaking a set shows the same fixed questions, read how topic-wise practice sets work.
- Review every wrong answer properly. Getting a question wrong is only useful if you dig into why. See how to review wrong answers after a practice set and consider keeping an error log to track your mistakes.
- Compare your options. If you're weighing free practice against paid resources, read our comparison of SAT Math prep books, our take on Khan Academy versus a dedicated question bank, and our roundup of the best free SAT Math practice tests online.
- Go printable if you prefer paper. If you study better away from a screen sometimes, see what to look for in printable SAT Math worksheets.
Tip: work one subtopic to a solid Medium-level score before splitting your time across all 19. Depth beats breadth early on, breadth beats depth in the final few weeks.
Why topic-wise practice works better than random mixed sets
Full-length practice tests are useful for pacing and endurance, but they're a poor tool for actually fixing weaknesses — you might see one circle question and two probability questions in an entire test, which isn't enough repetition to know if you've actually learned the topic or just gotten lucky. Topic-wise sets flip that: 22 questions on exactly one subtopic, at one difficulty level, so you get a real read on where you stand. That's the whole design philosophy behind this practice library, and it's why every set here is organized by subtopic first, difficulty second.
Because every set is fixed and every attempt is instantly scored, you can retake a subtopic weeks later and get a genuine improvement signal instead of noise from a randomized shuffle. Your dashboard keeps your best score per subtopic and difficulty, and "My attempts" lets you revisit any past attempt question-by-question with full explanations — which matters more than most students realize, since re-reading your own past mistakes is one of the highest-leverage things you can do before test day.
Building a full study plan around these 19 subtopics
Most students don't need a rigid week-by-week schedule so much as a repeatable weekly rhythm. A pattern that works for a lot of students: pick two or three subtopics for the week based on your diagnostic results, work each from Easy up through Medium (and Hard if time allows), review every wrong answer the same day you take the set, and log recurring mistakes rather than one-off slips. Repeat with a fresh set of subtopics the following week, while keeping your already-solid subtopics on a light maintenance schedule so they don't quietly slip. As test day approaches, shift the ratio — spend relatively less time on brand-new subtopics and relatively more time re-confirming that your previously weak subtopics have actually held up under a second or third attempt.
Frequently asked questions
Do I need to practice all 19 subtopics equally?
No. Start with a diagnostic to see which subtopics you're actually missing, then weight your practice time toward those. Some subtopics (like linear equations) show up far more often than others (like inference from sample statistics), so both your weaknesses and the topic's overall weight on the test should guide how much time you give it.
Is this practice library really free?
Yes. Every subtopic, every difficulty level, and every worked explanation is free to use in guest mode with no signup. You can later save your progress to a permanent account without losing any history if you want your scores to persist across devices.
What's the difference between this and a full practice test?
A full practice test mixes all four domains together to simulate exam pacing. This library isolates one subtopic and one difficulty at a time so you can actually diagnose and fix specific weaknesses — most students benefit from both, used at different stages of prep.
Which domain should I focus on first if I'm short on time?
Algebra and Advanced Math together make up the majority of the test's questions, so a weak foundation there tends to cost the most points. If your diagnostic shows both of those domains solid already, shift your remaining time toward whichever Problem-Solving and Data Analysis or Geometry and Trigonometry subtopics scored lowest.
For deep dives on any of the topics mentioned above, browse the full SAT Math guide library — it covers every subtopic, plus prep strategy, difficulty selection, and review technique in detail.