PSAT Math · Lessons · Practice
PSAT Math Online Center
Explore PSAT Math practice for PSAT/NMSQT, PSAT 10, and PSAT 8/9, with topic review, timed tests, worksheets, and Reading and Writing flashcards.
6 Full-Length PSAT Math Practice Tests
Take a complete PSAT Math simulation online. Each test has 44 questions, a 70-minute timer, two module labels, 33 multiple-choice items, 11 student-produced responses, an estimated PSAT Math score, topic breakdowns, and full explanations.
PSAT Math Practice Test 1
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
PSAT Math Practice Test 2
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
PSAT Math Practice Test 3
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
PSAT Math Practice Test 4
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
PSAT Math Practice Test 5
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
PSAT Math Practice Test 6
44 questions, 70 minutes, 33 multiple-choice items, 11 student-produced responses, instant score report, explanations, and topic review.
Jump into PSAT Math
See it. Understand it. Try it.
PSAT Math Quick Review turns each idea into a picture, a clear explanation, and a worked example. Start with the basics, or jump to the skill you want to learn.
Six ways into PSAT Math
Every lesson starts with a visual explanation and ends with a chance to practice.
PSAT Math Snapshot
Take a short practice set and mark every miss by topic.
Review one weak skill, practice it, then return to mixed questions.
Choose a step-by-step study guide if you need help with the basics; use workbooks or practice-test books for additional review.
PSAT Math Test Outline
PSAT 8/9, PSAT 10, and PSAT/NMSQT share a two-module Math section. Explore the level that matches your test, then use its practice and topic resources.
PSAT 8/9 Math
Build the math foundations assessed in the PSAT 8/9, with all four content domains appearing across its two timed modules.
Topics covered
- Algebra
- Advanced Math
- Problem-Solving and Data Analysis
- Geometry
PSAT 10 Math
Practice algebra, advanced math, problem-solving and data analysis, and geometry and trigonometry across two modules.
Topics covered
- Algebra
- Advanced Math
- Problem-Solving and Data Analysis
- Geometry and Trigonometry
PSAT/NMSQT Math
Review the PSAT/NMSQT Math section and connect practice to the same four domains used on PSAT 10.
Topics covered
- Algebra
- Advanced Math
- Problem-Solving and Data Analysis
- Geometry and Trigonometry
Four PSAT Math Domains
Use the College Board domain map to connect a missed question to the math skill it measures.
Topics covered
- Algebra
- Advanced Math
- Problem-Solving and Data Analysis
- Geometry and Trigonometry on PSAT 10/NMSQT; geometry on PSAT 8/9
Free PSAT Math Formula Sheet PDF
Open the complete PSAT Math formula guide, review the pages online, then print or save the PDF when you are ready.
Complete ReviewStudy the key formulas in one focused guide.›
Page-by-Page ReviewMove through the formulas at your own pace.›
Online StudyKeep the guide open while you practice problems.›
Print When ReadyUse the print option after you finish reviewing.›
Download for LaterSave the PDF when you want an offline copy.›
PSAT Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full step-by-step solutions. Each opens right here in a popup.
Ratios & Proportional Reasoning
Unit rates, proportions, and real-world comparisons.
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Percents & Financial Math
Percent change, discounts, interest, and money math.
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Solving Linear Equations
One-step to multi-step equations and literal equations.
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Linear Functions & Graphs
Slope, intercepts, and writing the equation of a line.
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Systems of Equations & Inequalities
Substitution, elimination, and matching graphs to solutions.
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Exponents & Polynomials
Exponent rules and polynomial operations.
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Quadratic Functions & Equations
Factoring, the quadratic formula, and parabola graphs.
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Functions
Function notation, evaluating functions, and function operations.
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Geometry & Measurement
Area, volume, and measurement formulas.
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Statistics & Probability
Centers, spreads, charts, and probability.
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PSAT Math Topics: Learn, Practice, and Quiz
Choose a topic, open its worksheet for printable practice, then take a short quiz from the same row.
96 topics · worksheets · quizzes
Number Sense and Rational Numbers
- Comparing and Ordering Integers WorksheetQuiz
- Integers and Absolute Value WorksheetQuiz
- Adding and Subtracting Integers WorksheetQuiz
- Multiplying and Dividing Integers WorksheetQuiz
- Factors Multiples GCF and LCM WorksheetQuiz
- Adding and Subtracting Fractions WorksheetQuiz
- Multiplying Mixed Numbers WorksheetQuiz
- Multiplying and Dividing Fractions WorksheetQuiz
- Adding and Subtracting Decimals WorksheetQuiz
- Multiplying and Dividing Decimals WorksheetQuiz
- Converting Fractions Decimals and Percents WorksheetQuiz
- Real World Problems with Rational Numbers WorksheetQuiz
Ratios, Percents, and Rates
- Simplifying Ratios WorksheetQuiz
- Unit Rates WorksheetQuiz
- Proportional Ratios WorksheetQuiz
- Constant of Proportionality WorksheetQuiz
- Scale Drawings and Scale Factors WorksheetQuiz
- Converting Units of Measurement WorksheetQuiz
- Percent Problems WorksheetQuiz
- Finding the Whole from a Part and Percent WorksheetQuiz
- Percent of Increase and Decrease WorksheetQuiz
- Discount Tax and Tip WorksheetQuiz
- Simple Interest WorksheetQuiz
- Compound Interest WorksheetQuiz
- Tips Commissions and Fees WorksheetQuiz
Exponents, Radicals, and Scientific Notation
- Multiplication Property of Exponents WorksheetQuiz
- Division Property of Exponents WorksheetQuiz
- Zero and Negative Exponents WorksheetQuiz
- Negative Exponents and Negative Bases WorksheetQuiz
- Radicals WorksheetQuiz
- Rational and Irrational Numbers WorksheetQuiz
- Scientific Notation WorksheetQuiz
- Operations with Scientific Notation WorksheetQuiz
Expressions, Equations, and Inequalities
- When an Expression Is Undefined WorksheetQuiz
- Evaluating One Variable WorksheetQuiz
- Evaluating Two Variables WorksheetQuiz
- Simplifying Variable Expressions WorksheetQuiz
- The Distributive Property WorksheetQuiz
- One Step Equations WorksheetQuiz
- Solving Two Step Equations WorksheetQuiz
- Multi Step Equations WorksheetQuiz
- Equations with Variables on Both Sides WorksheetQuiz
- Literal Equations and Formulas WorksheetQuiz
- One Step Inequalities WorksheetQuiz
- Multi Step Inequalities WorksheetQuiz
- Compound Inequalities WorksheetQuiz
- Graphing Linear Inequalities WorksheetQuiz
Coordinate Geometry and Lines
- The Coordinate Plane WorksheetQuiz
- Finding Slope WorksheetQuiz
- Graphing Lines WorksheetQuiz
- Point Slope Form WorksheetQuiz
- Standard Form of a Linear Equation WorksheetQuiz
- Writing Linear Equations WorksheetQuiz
- Parallel and Perpendicular Lines WorksheetQuiz
- Systems of Equations WorksheetQuiz
- Finding Midpoint WorksheetQuiz
- Finding Distance of Two Points WorksheetQuiz
Functions
Polynomials and Quadratics
- Adding and Subtracting Polynomials WorksheetQuiz
- Simplifying Polynomials WorksheetQuiz
- Multiplying Binomials WorksheetQuiz
- Special Products of Polynomials WorksheetQuiz
- Factoring with the Greatest Common Factor WorksheetQuiz
- Factoring Trinomials WorksheetQuiz
- Solving Quadratic Equations by Factoring WorksheetQuiz
- The Quadratic Formula WorksheetQuiz
- Graphing Quadratic Functions WorksheetQuiz
- Rational Expressions WorksheetQuiz
Geometry and Measurement
- Complementary and Supplementary Angles WorksheetQuiz
- Parallel Lines and Transversals WorksheetQuiz
- Triangles WorksheetQuiz
- Similarity and Ratios WorksheetQuiz
- Area of Triangles WorksheetQuiz
- Area and Perimeter of Quadrilaterals WorksheetQuiz
- Polygons WorksheetQuiz
- Circles WorksheetQuiz
- Area and Perimeter of Composite Figures WorksheetQuiz
- Rectangular Prisms WorksheetQuiz
- Cubes WorksheetQuiz
- Cylinder WorksheetQuiz
- Surface Area of Solids WorksheetQuiz
- Volume and Surface Area of Composite Solids WorksheetQuiz
Data, Statistics, and Probability
- Weighted Averages and Missing Data Values WorksheetQuiz
- Box Plots and Interquartile Range WorksheetQuiz
- Histograms and Data Displays WorksheetQuiz
- Pie Graph WorksheetQuiz
- Scatter Plots and Lines of Best Fit WorksheetQuiz
- Two Way Frequency Tables WorksheetQuiz
- Probability Problems WorksheetQuiz
- Probability of Compound Events WorksheetQuiz
- Permutations and Combinations WorksheetQuiz
PSAT Math Skills Worth Reviewing
This section gives students a practical way to decide what to fix next when a full practice set feels overwhelming.
Number sense
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Fractions
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Algebraic expressions
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Geometry
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Data
If vocabulary, setup, or calculation makes this skill difficult, work through a short focused set before moving on.
Choose Your PSAT Math Prep Tool
Different students need different entry points. This toolbox gives PSAT Math review, practice, strategy, and next-step resources a clear place on the page.
PSAT Math Course
Use the full PSAT Math course when students need lessons before practice.
Free PSAT Math Practice Test
Start with a timed practice set or mixed review to find weak areas.
PSAT Math Study Guide
Use the recommended study guide path when students need structure and printed practice.
PSAT Math Practice Plan
Turn missed questions into a small weekly review loop.
PSAT Math Practice Paths
Practice is most useful when students know which stack to pick. These paths turn the resource library into a clear sequence.
Foundations Path
Use this path when a student is just getting oriented with PSAT Math.
- Number sense
- Fractions
Core Skills Path
Use this path for the skills that usually decide PSAT Math confidence.
- Algebraic expressions
- Geometry
Mixed Practice Path
Use this path when the student is ready to connect skills in mixed practice.
- Data
- Timed practice
Choose The Right PSAT Math Book
Start with the For Beginners or best first study guide, then use workbooks, full tests, and bundles for extra practice.
PSAT Math for Beginners 2024: The Ultimate Step by Step Guide to Preparing for the PSAT Math Test
Recommended practice resource
PSAT Math Full Study Guide: Comprehensive Review + Practice Tests + Online Resources
Recommended practice resource
The Most Comprehensive PSAT Math 2023 Preparation Bundle: Includes PSAT Math Prep Books, Workbooks, and Practice Tests
Recommended practice resource
PSAT Math Practice Workbook 2024: The Most Comprehensive Review for the Math Section of the PSAT Test
Recommended practice resource
Prepare for the PSAT / NMSQT Math Test in 7 Days: A Quick Study Guide with Two Full-Length PSAT Math Practice Tests
Recommended practice resource
PSAT Math Study Guide 2020 – 2021: A Comprehensive Review and Step-By-Step Guide to Preparing for the PSAT Math
Recommended practice resource
PSAT Math Study Roadmap
Use this roadmap to move from a first practice set to focused review and mixed practice.
Set the baseline
Open the main PSAT Math starter resource and mark the skills that feel slow or uncertain.
Practice one skill family
Choose one topic cluster from the skill map and work it until the steps feel predictable.
Add mixed review
Move from isolated questions into mixed practice so the student learns when to use each strategy.
Use test-mode practice
Finish with timed or cumulative practice, then turn every miss into the next review target.
PSAT Reading and Writing · Words in Context
1,000 PSAT Vocabulary Flashcards
Practice meaning in context with a searchable interactive deck. Reveal definitions, compare precise word choices, and move through cards at your own pace.
Independent study resource, not an official College Board word list or a prediction of future questions. The PSAT assesses how high-utility words function in context. Review official PSAT Reading and Writing skills ↗
PSAT Math FAQ
What should I practice first for PSAT Math?
Start with Number sense, arithmetic fluency, and estimation. Then use a short mixed practice set to see which skill should come next.
How should I use this PSAT Math Online Center?
Begin with the main starting resource, choose one weak skill from the map, practice it, then return to the online center for the next topic or a timed review.
Are there free resources on this page?
Yes. The online center links to free Effortless Math resources such as PSAT Math Course, Free PSAT Math Practice Test, PSAT Math Study Guide.
Which PSAT Math skills matter most?
The highest-value areas include Number sense, arithmetic fluency, and estimation; Fractions, decimals, percents, ratios, and rates; Algebraic expressions, equations, and word problems. Use the skill map as a checklist rather than trying to study everything at once.
When should I use a book or workbook?
Use a book when the student needs a structured sequence, repeated practice, or a printed path that is easier to follow than scattered online links.
Related Online Centers
Make This Your PSAT Math Starting Point
Bookmark this online center, choose one weak area, and use the linked practice pages and books to move from scattered review to a clear study path.
Join students who study with a clearer path
This test prep online center is part of the Effortless Math library for PSAT Math. We connect lessons, worksheets, practice tests, books, and tools so students can study with a clearer next step.
This is an independent Effortless Math PSAT Math preparation online center. Official exam, standards, or curriculum owners do not endorse this page.
Start With A Practice Test
Begin with PSAT Math practice step, use the result to find weak skills, then review the matching lesson, worksheet, or flashcards before trying again.
Take a diagnostic first
Start with mixed practice. Mark every missed question by topic instead of only looking at the score.
Know what is tested
Use the outline or official structure to see which skills matter most before adding more study time.
Fix one weak skill
Choose one target, such as Number sense, and practice it before returning to a full mixed set.
Move into lessons or books
After the first test, use lessons, flashcards, worksheets, or the recommended book path for structure.
PSAT Math for Beginners 2024: The Ultimate Step by Step Guide to Preparing for the PSAT Math Test
Begin with structured lessons and worked examples, then move into focused and timed practice.
- Best first book for students who need structure
- Step-by-step lessons before mixed practice
- Pairs naturally with the free guides and topic lessons on this online center
- A clear sequence from foundational lessons to mixed practice
Start from the basics
The book rebuilds the topic sequence before asking students to move into timed practice.
Use worked examples
Students can see the move, copy the method, then try similar problems on their own.
Drill one skill at a time
The structure supports focused practice instead of scattered review.
Move into confidence practice
After the book path, the online center connects students to worksheets, flashcards, and test-style questions.
How to use it
- Read one short lesson.
- Copy the worked example.
- Practice the matching skill from this online center.
- Return to mixed or timed practice after the skill feels stable.
Pair it with free tools
A USEFUL NEXT STEP
PSAT Math: study questions
How is the PSAT/NMSQT structured?
The digital PSAT/NMSQT has Reading and Writing and Math sections. Reading and Writing has 54 questions in 64 minutes; Math has 44 questions in 70 minutes. Standard testing time is 2 hours and 14 minutes, excluding breaks.
Official source ↗Which PSAT level should I choose?
Use the resources for the test your school has scheduled: PSAT/NMSQT, PSAT 10, or PSAT 8/9. This Online Center links to Math preparation for each level. Check with your school if you are unsure which version you will take.
Official source ↗Are these official PSAT preparation materials?
Effortless Math is an independent publisher. Its original materials are preparation resources, and practice results are study feedback rather than official scores. Use the test provider’s website for registration, policies, and official practice.
Official source ↗Resources from Effortless Math · Editorial standards · Test details checked October 5, 2026