Grades 10 and 11 · US · free
PSAT math practice for the PSAT/NMSQT
Practice for the Math section of the digital PSAT/NMSQT and PSAT 10: questions from all four content areas with hints and worked steps, a printable set with answers, and how the PSAT links to National Merit.
The format
| Part | Time | What's in it |
|---|---|---|
| Math, module 1 | 35 minutes | 22 questions. |
| Math, module 2 | 35 minutes | 22 questions, adapted to how module 1 went. |
The PSAT is a digital test in the Bluebook app, with the same structure as the SAT: 44 math questions in 70 minutes, and a calculator allowed throughout. Each section is scored from 160 to 760, for a total of 320 to 1520.
Printable practice paper
Fresh questions from every part of the exam each time you open it, with an answer key and worked steps. Print it, save it as a PDF, or do it on screen.
Practice now
Solve: |x − 7| = 3. Give both solutions, separated by a comma.
Print a worksheet with answersShare to Google ClassroomFree, no sign-up. Nothing you type is saved.
What PSAT math covers
The PSAT tests the same four areas as the SAT, pitched a little lower: algebra, advanced math, problem-solving and data analysis, and geometry and trigonometry. About 30% of questions are set in science, social studies or real-world contexts, so reading carefully matters as much as the math.
- Algebra: linear equations, inequalities, systems and linear functions.
- Advanced math: quadratics, exponents, equivalent expressions and nonlinear functions.
- Problem-solving and data analysis: ratios, rates, percentages and reading data.
- Geometry and trigonometry: area, volume, angles, right triangles and basic trigonometry.
PSAT/NMSQT, PSAT 10 and National Merit
The PSAT/NMSQT is given in the fall, mostly to juniors and some sophomores. Only the junior-year PSAT/NMSQT counts for the National Merit Scholarship Program, which uses a Selection Index made from your section scores (the Reading and Writing score counts twice). The PSAT 10 is the same test given to sophomores in the spring, and it doesn't count for National Merit.
Use it as a practice SAT
Because the format matches the SAT, your PSAT score report is a useful map: it shows which content areas cost points. Work on those first, and the same practice carries straight over to the SAT.
A study plan
- 1Summer before the testReview Algebra 1 and the parts of Geometry you've covered. Take one full practice test in the Bluebook app.
- 2Four to six weeks beforePractice your weakest content area each week, with a short mixed set at the end of the week.
- 3Two weeks beforeA second full practice test, timed. Review every wrong answer and why it went wrong.
- 4Test weekLight practice and Desmos basics. Charge your device and check the app is updated.
Exam tips
- Spend extra care on module 1: it decides whether module 2 is the harder one.
- Graph both sides of an equation in Desmos and read the intersection.
- Wrong answers aren't penalized, so answer every question.
- Watch for questions that ask for an expression's value rather than the variable's.
Practice by topic
Two-step equationsOne-step equationsInequalitiesRatios and ratesMean, median, modePythagorean theorem
Questions people ask
- How many math questions are on the PSAT?
- 44, in two modules of 22 questions, with 35 minutes for each module.
- Is the PSAT easier than the SAT?
- Slightly. It covers the same skills with a few harder topics left out, and its score scale tops out at 760 per section instead of 800.
- Does the PSAT count for college?
- Colleges don't see PSAT scores. The junior-year PSAT/NMSQT counts for the National Merit Scholarship Program, and every PSAT is good practice for the SAT.
- Can I use a calculator on the PSAT?
- Yes, on the whole Math section. The Desmos graphing calculator is built into the app, and approved handheld calculators are allowed.
Format checked against: College Board: PSAT/NMSQT math overview; College Board: introducing the digital PSAT/NMSQT. Updated November 2026.
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