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Free PSAT/NMSQT Math Practice — Connect your algebra skills to stronger problem solving

Move from familiar procedures to confident interpretation. Practice linear and nonlinear models, data, and geometry, then use mixed sets to find where your reasoning needs more attention.

Start Free Practice →Browse All Topics
67
Quizzes
4
Modules
11
Full practice exams
23
Timed mini-exams
$0
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Home›Exams›PSAT/NMSQT Math QBank
PSAT/NMSQT MathExam prep2026Free resource

PSAT/NMSQT practice is most productive when it connects classroom techniques to the language of a problem. You may know how to solve a system yet hesitate over which quantities belong in it. Treat that hesitation as useful information: it tells you to practice modeling as well as calculation.

This course organizes practice into algebra, advanced math, data analysis, and geometry, followed by shorter mixed sessions and exam groups. Use the topic labels to build confidence, then deliberately remove that support by attempting a mixed set. Explain why you chose an equation before checking whether its numerical solution is correct.

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From a mathematical procedure to a mathematical model

A linear model has a constant change per unit of input. An exponential model has a constant multiplicative factor over equal intervals. Compare differences and ratios in a table before choosing a formula. Then use an observation to recover any unknown starting value.

Data questions require the same care with reference groups. “Of all students” and “of students who ride the bus” describe different denominators. In geometry, distinguish a stated relationship from something that only appears true in a drawing. Label the information supplied, and avoid treating a sketch as a measurement.

PSAT/NMSQT Math score overview

160–380

Needs work

380–540

Below average

540–640

Competitive

640–720

Strong

720–760

Excellent

Checkpoints only. A result on this site is practice feedback, not an official score.

Lessons

4
Lesson 1Linear models and systemsLesson 2Nonlinear equations and equivalent expressionsLesson 3Data, probability, and conditional statementsLesson 4Geometry and right-triangle trigonometry

Practice by topic

4 modules. Drill a weak topic before you open a longer set.

Heart of Algebra

9 quizzes
Linear Relationships 1→Linear Relationships 2→Linear equations 1→Linear equations 2→Linear inequalities→Order of Operations / LCM / GCF / Fractions 1→Order of Operations / LCM / GCF / Fractions 2→Systems of inequalities (basic graph-based problems)→

Advanced Math

12 quizzes
Exponential growth and decay→Exponents→Functions 1→Functions 2→Graphing Quadratics: Vertex, Axis of Symmetry, Intercepts 1→Graphing Quadratics: Vertex, Axis of Symmetry, Intercepts 2→Graphs & Data Interpretation 2→Polynomial operations and zeros 1→

Problem Solving & Data Analysis

7 quizzes
Graphs & Data Interpretation 1→Percentages 1→Percentages 2→Probability 1→Probability 2→Ratios, rates, and proportions 1→Ratios, rates, and proportions 2→

Geometry and Trigonometry

5 quizzes
Area & Perimeter & Volume→Circles→Lines & Angles & Triangles→Right Triangles & Trigonometry 1→Right Triangles & Trigonometry 2→

Full-length practice exams

11 longer sets. Take the parts back to back for a realistic session.

  • Module 222 q35 min
  • Module 122 q35 min
  • Module 122 q35 min
  • Module 222 q35 min
  • Module 122 q35 min
  • Module 222 q35 min

Timed mini-exams

Short timed sets for a daily session, after the topic quizzes feel familiar.

  • Mini Exam 110 q15 min
  • Mini Exam 1010 q15 min
  • Mini Exam 1110 q15 min
  • Mini Exam 1210 q15 min
  • Mini Exam 1310 q15 min
  • Mini Exam 1410 q15 min

Tips before you practice

  1. Underline conditions such as “given,” “at least,” and “exactly.”
  2. Use both original equations to check a system solution.
  3. Do not assume a graph continues beyond the domain described.
  4. Keep separate records of arithmetic slips and incorrect model choices.

Frequently asked questions

The guides emphasize different starting points: the PSAT 8/9 guide builds foundational habits, while this guide focuses on connecting procedures, representations, and models. Choose individual modules according to what you have studied.

Other free question banks

  • PSAT 8/9 Math Qbank23 modules · 97 quizzes›
  • SAT Math Qbank36 modules · 194 quizzes›
  • ACT Math Qbank28 modules · 191 quizzes›
  • AP Calculus AB QBank11 modules · 44 quizzes›
  • AP Calculus BC QBank13 modules · 61 quizzes›
  • AP Precalculus QBank8 modules · 31 quizzes›

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