Free PSAT 8/9 Math Practice — The Complete QBank

900+ exam-style questions across 23 modules — including 7 full-length practice tests and 20 timed mini-exams — built for 8th and 9th graders taking the PSAT 8/9. Practice free, score higher.

97
Quizzes
23
Modules
7
Full Practice Exams
20
Timed Mini-Exams
$0
Cost, Forever
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PSAT 8/9 Math Exam Prep Grades 8–9 Free Resource Updated 2026 · The School of Mathematics

The PSAT 8/9 is most students' first standardized math test — and the earliest real signal of where they stand on the College Board's Heart of Algebra, Advanced Math, Problem-Solving & Data Analysis, and Geometry & Trigonometry domains. It's lower-stakes than the SAT, but the skills it builds carry directly into the PSAT 10, the PSAT/NMSQT, and eventually the SAT itself.

At The School of Mathematics, we built a free PSAT 8/9 Math QBank with 900+ questions across 97 quizzes and 23 modules. Quizzes within each topic are labeled Fundamental, Intermediate, or Advanced so students can build up gradually. 20 timed mini-exams and 7 full practice exams (each with a Module 1 and Module 2) round out the bank. All free, no account needed.

Completely free — no paywall, no account needed. Every quiz, mini-exam, and full practice test is accessible immediately. Our platform is supported by display advertising only.

About the PSAT 8/9

The PSAT 8/9 Math section is split into two modules totaling 70 minutes. It uses the same four content domains as the SAT and PSAT/NMSQT — Heart of Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry — but at a difficulty level calibrated for 8th and 9th graders. A calculator is permitted throughout the math section, and most questions are multiple-choice with a smaller share of student-produced responses.

Because it's usually a student's first encounter with this test format, pacing and unfamiliar question styles trip up more students than the actual math content. Working through leveled quizzes — Fundamental before Intermediate before Advanced — is the most reliable way to build both skill and confidence before test day.

PSAT 8/9 Math Score Overview
120–300
Needs work
300–420
Below average
420–500
Competitive
500–600
Strong
600–700
Excellent
720
Perfect

Practice by Topic

23 modules across 4 SAT-suite domains. Quizzes are labeled 🟢 Fundamental, 🟡 Intermediate, or 🟠 Advanced where applicable — start at your level and work up.

Heart of Algebra

Linear Equations 5 quizzes
Linear Functions 4 quizzes
Linear Equations (2 Variables) 3 quizzes
Systems of Equations 2 quizzes
Linear Inequalities 3 quizzes

Advanced Math

Nonlinear Equations & Systems 5 quizzes

Problem-Solving and Data Analysis

Ratios, Rates & Proportional Relationships 7 quizzes
Two-Variable Data & Scatterplots 2 quizzes
Probability & Conditional Probability 3 quizzes

Geometry and Trigonometry

Lines, Angles & Triangles 4 quizzes

Full-Length Practice Exams

7 full exams, each split into Module 1 and Module 2. Do both modules back-to-back to simulate real testing conditions.

Timed Mini-Exams

20 mini-exams of 10 questions each with a 15-minute timer. Perfect for a quick daily practice session.

6 Tips to Raise Your PSAT 8/9 Math Score

Strategy for students taking their first College Board math test.

  1. Start Fundamental, not Advanced. Each topic module is leveled 🟢 Fundamental → 🟡 Intermediate → 🟠 Advanced. Skipping ahead just to "test yourself" builds bad habits — work the ladder.
  2. Master Heart of Algebra first. Linear equations, functions, and inequalities make up the largest share of the test and reappear constantly in Advanced Math questions.
  3. Get comfortable with the calculator early. A calculator is allowed for the whole math section — practicing with it now avoids losing time fumbling with it on test day.
  4. Never leave a blank. There's no penalty for a wrong answer. Always mark your best guess before moving on.
  5. Time yourself even on topic quizzes. Building pacing habits now makes the full 70-minute practice exams feel far less overwhelming later.
  6. Review every miss before moving to the next quiz. Understanding why an answer was wrong is worth more than rushing to the next set of questions.

Frequently Asked Questions

The PSAT 8/9 Math section covers the same four domains as the SAT: Heart of Algebra, Advanced Math, Problem-Solving & Data Analysis, and Geometry & Trigonometry — calibrated to an 8th/9th-grade difficulty level. Our 23 modules mirror these domains, with quizzes leveled by difficulty within each topic.
Two math modules totaling 70 minutes. That's why our full practice exams are split into a separate Module 1 and Module 2 quiz — take them back-to-back for the most realistic simulation of test-day pacing.
🟢 Fundamental quizzes introduce the core concept. 🟡 Intermediate adds more varied question types. 🟠 Advanced applies the concept to harder, more test-like problems. Work through them in order within each topic.
No — the PSAT 8/9 is a lower-stakes, easier version aimed at 8th and 9th graders, used mainly to gauge college readiness early and guide course planning. The PSAT/NMSQT (taken in 10th–11th grade) is closer in difficulty to the SAT and is used for National Merit Scholarship consideration.
A few weeks of consistent practice is usually enough. Work through each topic module from Fundamental to Advanced, then use the timed mini-exams and full practice exams in the final week to build pacing and stamina.