YOUR PSAT/NMSQT STUDY COMPANION
10 PSAT Math Practice Questions with Answers
Practice 10 PSAT Math questions with worked answers, check the reasoning, and choose the next skill to review.
Try these 10 PSAT Math practice questions, then open each answer to check your reasoning. This short skill review covers rational expressions, quadratics, linear equations, slopes and averages. It is a sample of practice topics, not a prediction of the most frequent questions or a full-length test.
Quick answer: The digital PSAT/NMSQT has 44 math questions in two 35-minute modules, and you can use a calculator throughout. Questions come from four areas: Algebra (about 35%), Advanced Math (about 32.5%), Problem-Solving and Data Analysis (about 20%) and Geometry and Trigonometry (about 12.5%). Most are multiple choice; the rest ask you to type your own answer.
For the current digital PSAT/NMSQT, College Board lists 44 Math questions in two 35-minute modules, with calculator use allowed throughout. The four content areas are Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. See the official PSAT/NMSQT Math overview for the test format.
How to use these practice questions
Work through each question before selecting Show answer and explanation. Write the equation or rule you use, and check restrictions before cancelling factors. For Question 4, pay particular attention to whether the given information determines one numerical answer.
After checking your work, revisit any missed skill in the PSAT Math hub linked below. Use this set for focused review; it does not replace practice in the current digital test interface.
PSAT Math study guide
Practice Quiz: 10 Most Common PSAT Math Questions
Answer each question and press Submit to see your result right away.
Answer each question and press Submit to see your result right away.
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Choose a PSAT Math resource that matches the skills you need to review.
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What PSAT math questions cover
College Board groups PSAT/NMSQT math into four domains. Here is roughly how the 44 questions are split and what each domain asks you to do.
| Domain | Share of questions | Typical skills |
|---|---|---|
| Algebra | About 35% | Linear equations and inequalities, linear functions, systems of two linear equations |
| Advanced Math | About 32.5% | Equivalent expressions, quadratics, exponential functions, nonlinear equations and systems |
| Problem-Solving and Data Analysis | About 20% | Ratios, rates, percentages, data and scatterplots, probability |
| Geometry and Trigonometry | About 12.5% | Area and volume, angles and triangles, right triangle trigonometry |
About 30% of questions are set in a real-world context, and some include a graph or table. The test is adaptive: how you do on the first module decides the difficulty of the second.
How to answer typed-response questions
Some PSAT math questions have no answer choices. You type the answer into a box. A few habits prevent lost points:
- Enter one correct answer, even if more than one would work.
- A positive answer can use up to 5 characters; a negative answer up to 6, counting the minus sign.
- Fractions and decimals are both fine. Write 7/2 or 3.5, not the mixed number 3 1/2.
- If a decimal is too long, round or cut it off at the space limit.
- Leave out symbols such as %, $ and commas.
When you practice with the questions on this page, try covering the answer choices and typing your own answer first. It builds the same habit these questions need.
Frequently Asked Questions
What kind of math is on the PSAT?
The digital PSAT/NMSQT math section covers Algebra (about 35%), Advanced Math (about 32.5%), Problem-Solving and Data Analysis (about 20%) and Geometry and Trigonometry (about 12.5%). That means linear equations and systems, quadratics, exponential functions, percents, data, and right triangles. There are 44 questions in two 35-minute modules, and a calculator is allowed throughout.
What are the PSAT math question types?
PSAT math has two question types. Most are multiple choice with four answer choices, and the rest are student-produced responses, where you type your own answer. For typed answers, you can usually enter a fraction or a decimal, and a negative sign is allowed. Practice solving fully without looking at choices so typed-response questions feel familiar.
Are PSAT math questions hard?
Most PSAT math questions are moderate and use Algebra 1, geometry and some Algebra 2 skills, with no calculus. Harder questions usually combine steps, such as finding the vertex of y = x² − 6x + 5, which is at x = 3, so y = 9 − 18 + 5 = −4. The test is adaptive, so doing well on the first module brings tougher questions in the second.
What is the PSAT?
The PSAT/NMSQT is a College Board test usually taken in 10th or 11th grade on the Bluebook digital app. It has a Reading and Writing section and a Math section, and the scores from 11th grade are used to enter the National Merit Scholarship Program. It is also good practice for the SAT, since the two tests share the same format and question styles.
Is there a PSAT math question bank?
Yes. College Board offers a free SAT Suite Question Bank where you can filter official math questions by test, content area and difficulty. It works well alongside these 10 practice questions: try the sample set first, note which skills you missed, then pull more questions on those topics from the question bank.
What are some PSAT math question examples?
A typical PSAT algebra question might ask for the slope of a line through (0, 4) and (2, 10): (10 − 4)/(2 − 0) = 3. A data question might ask for the mean of 6, 8, 10 and 16, which is 40 ÷ 4 = 10. The 10 practice questions also include rational expressions, quadratics and averages, each with an explained answer.
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