Below are 12 free PSAT Math practice questions with instant answers and explanations, covering all four domains on the test in roughly their real proportions: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Three are student-produced response questions, where you type your own answer, just like on the digital PSAT/NMSQT and PSAT 10. No sign-up needed.
The real Math section has 44 questions in 70 minutes, so aim for about a minute and a half per question. After the drill you'll see your result by domain and where to practice next.
12 original questions across all four Math domains. Answer one, check it, and read the explanation. Real PSAT pace is about 19:05 for 12 questions; the clock starts with your first answer.
Questions written by Test Ninjas in the style of the digital PSAT/NMSQT and PSAT 10. Pace uses College Board's official section timing (44 questions in 70 minutes).
PSAT Math tests four content domains, and two of them, Algebra and Advanced Math, make up about two-thirds of the section. The PSAT/NMSQT and PSAT 10 use the same specifications. Here's how the 44 questions break down, using College Board's published percentages:
| Domain | Share | Questions | What it covers |
|---|---|---|---|
| Algebra | ≈35% | about 15 | Linear equations in one and two variables, linear functions, systems of two linear equations, linear inequalities |
| Advanced Math | ≈32.5% | about 14 | Equivalent expressions, nonlinear equations and systems, nonlinear functions (quadratic, exponential) |
| Problem-Solving and Data Analysis | ≈20% | about 9 | Ratios, rates and units; percentages; one- and two-variable data; scatterplots; probability; sample statistics and margin of error |
| Geometry and Trigonometry | ≈12.5% | about 6 | Area and volume; lines, angles and triangles; right triangles and trigonometry; circles |
About 30% of Math questions are set in a real-world context, like the phone plan and jacket sale questions above, and the rest are pure math (College Board). Context questions take longer to read, so translate the words into an equation before you calculate anything.
You get two modules of 22 questions, with 35 minutes for each. The digital PSAT is adaptive by module: how you do on the first module decides whether the second is easier or harder. Within each module, questions go from easiest to hardest, so the last few questions of module 2 are the toughest on the test.
| Module 1 | Module 2 | Section | |
|---|---|---|---|
| Questions | 22 | 22 | 44 |
| Time | 35 min | 35 min | 70 min |
| Difficulty | Mixed, easiest to hardest | Easier or harder, based on module 1 | Scored 160–760 |
Most PSAT Math mistakes come from answering a slightly different question than the one asked. The wrong choices are usually the numbers you'd get by stopping one step early or making one predictable slip. Each trap below appears in the practice questions above:
| Trap | Example from the drill | How to avoid it |
|---|---|---|
| Answering an intermediate step | Giving the time of the maximum height (2) instead of the height (21) | Before choosing, reread the last line of the question and underline what it asks for. |
| Squaring term by term | (x + 3)² written as x² + 9 | Write the square out as (x + 3)(x + 3) and multiply every pair. |
| Swapping rate and constant | C = 25t + 0.10 for a $25 plan at $0.10 per text | Ask which number is charged once and which is charged per unit. |
| Discount vs price | Choosing $12 (the discount) instead of $68 | For a percent off, multiply by what you pay: 85% of the price. |
| Mean vs median | Answering 7 (median) when asked for the mean (8) | Circle the measure in the question; compute only that one. |
| Forgetting the square root | Hypotenuse 100 instead of 10 | After the Pythagorean theorem, ask: is this c or c²? |
Start with your score report, practice your weakest domain in short daily sets, and take a full timed test every couple of weeks. If you took the PSAT/NMSQT this fall, your scores arrive in waves starting October 22, 2026 (see when PSAT scores come out). The report's Knowledge and Skills section shows your performance in each of the four math domains; how to read your PSAT score report walks through it.
| Step | What to do |
|---|---|
| 1. Find your weakest domain | Use your score report's Knowledge and Skills bars, or your result from the 12 questions above. |
| 2. Practice daily | 15–20 questions a day from that domain. Review every miss until you can explain why the right answer is right. |
| 3. Log your traps | Write down each mistake type (misread, algebra slip, wrong formula). Most students repeat the same two or three. |
| 4. Test in full | Every 2–3 weeks, take a full 70-minute Math section in two timed modules. |
| 5. Project ahead | Convert your PSAT score to a likely SAT score (see the converter linked below) and set an SAT goal. |
Because the PSAT and SAT test the same skills, SAT practice works for the PSAT too. Try our free SAT Math practice for more questions, and estimate your score from a full practice test with the PSAT score calculator. Juniors aiming for National Merit can check where they stand with the Selection Index calculator.
PSAT Math and SAT Math test the same four domains in the same format, but the PSAT/NMSQT leans a little more on data and a little less on advanced math and geometry, and its hardest questions are easier.
| PSAT/NMSQT and PSAT 10 | SAT | |
|---|---|---|
| Algebra | ≈35% | ≈35% |
| Advanced Math | ≈32.5% | ≈35% |
| Problem-Solving and Data Analysis | ≈20% | ≈15% |
| Geometry and Trigonometry | ≈12.5% | ≈15% |
| Math score range | 160–760 | 200–800 |
So PSAT prep is SAT prep. Practicing at SAT difficulty is fine as long as you start with the easier questions in each domain. To see how a PSAT score translates, use the PSAT to SAT score converter.
Checked October 20, 2026: