SAT & ACT Prep · PSAT

PSAT Math Practice Test

The Math section covers linear equations and functions, quadratics and exponentials, ratios, percentages and data, and geometry and right-triangle trigonometry. Algebra is about 35% of the section, Advanced Math about 32.5%, Problem-Solving and Data Analysis about 20%, and Geometry and Trigonometry about 12.5%. A calculator is allowed throughout.

Questions:
44 multiple choice
Time:
70 minutes (optional timer)
Answers:
Every one explained
Cost:
Free, no sign-up

On the real exam you have 70 minutes for 44 questions. Start the timer to practise at exam pace.

Question 1 of 44 · 0 answered

Question 1

Topic 2.1 · Concept check

If 3x + 7 = 22, what is the value of x?

How sure are you?

Jump to a question

You can change any answer before submitting.

What the PSAT Math section covers

  • Algebra
  • Advanced Math
  • Problem-Solving and Data Analysis
  • Geometry and Trigonometry

Algebra is the biggest domain

About a third of questions use linear equations, inequalities, functions and systems. Translating words into an equation is the key skill.

Advanced Math: quadratics and exponentials

Expect to factor, solve quadratics, use function notation and recognise exponential growth and decay.

Data questions are about reading carefully

Problem-Solving and Data Analysis covers ratios, percentages, units, averages and probability, often from a table or graph.

Know the core geometry facts

Angles in a triangle sum to 180°, the Pythagorean theorem, special right triangles, area and volume, and SOH CAH TOA. A reference sheet is provided on test day.

Common mistakes

  • Answering what was found (such as x) when the question asks for something else (such as 2x + 1).
  • Mixing up percentage of and percentage change.
  • Forgetting to check units, such as minutes against hours.

How to study this section

  • After each practice section, rework every missed question without looking at the answer.
  • Practise using the built-in Desmos calculator to graph equations and check answers quickly.

More PSAT practice

Original StudyCoach questions in the style of the digital test; every answer key was checked by a separate AI review. All questions here are multiple choice; on the real test, some Math questions ask you to type your answer, and the second module of each section adapts to how you did in the first. PSAT/NMSQT® is a registered trademark of the College Board and the National Merit Scholarship Corporation, and PSAT™ 10 is a trademark of the College Board; neither is affiliated with, or endorses, StudyCoach.