Next-Generation ACCUPLACER Math
ACCUPLACER Math Practice Test: Free Arithmetic, QAS & AAF Practice
Choose an Arithmetic, QAS, or AAF review path for ACCUPLACER Math. Start with the test your college requires, then use topic lessons, worked examples, and practice feedback to focus your study.
What is the ACCUPLACER math test?
ACCUPLACER is a set of College Board placement tests that colleges use to place new students into the right math course. There are three math tests: Arithmetic; Quantitative Reasoning, Algebra, and Statistics (QAS); and Advanced Algebra and Functions (AAF). Each is a computer-adaptive, multiple-choice test of 20 questions with no time limit. Scores range from 200 to 300, and each college sets its own placement scores.
- Questions
- 20 per math test (Arithmetic, QAS, AAF)
- Time
- Generally untimed
- Score scale
- 200 to 300
- Calculator
- No handheld calculators; an on-screen calculator appears on some questions
- Cut scores and retakes
- Set by each college
Source: College Board ACCUPLACER official information. Rules and dates can change, so confirm with the official site or your test center.
On this page
ACCUPLACER Test Outline
ACCUPLACER Math has three computer-adaptive tests. Confirm which test or tests your college assigned before you study.
Need printable practice with answers? Choose the official College Board sample PDF for your assigned test below. Each includes sample questions, an answer key, and explanations. These are fixed sample sets; your actual placement test adapts to your responses. After checking your work, follow the matching study route to review a weak skill.
Arithmetic
Whole-number, fraction, and decimal operations; percents; number comparisons and equivalents.
Topics covered
- Whole numbers
- Fractions and decimals
- Percents and number comparisons
- Estimation, rounding, and order of operations
Quantitative Reasoning, Algebra, and Statistics (QAS)
Rational numbers, ratios, exponents, expressions, linear equations and graphs, probability, descriptive statistics, and geometry.
Topics covered
- Rational numbers and ratios
- Algebra and linear models
- Statistics, probability, and geometry
Advanced Algebra and Functions (AAF)
Linear equations, factoring, quadratics, functions, radicals, rational and polynomial equations, exponential and logarithmic equations, and trigonometry.
Topics covered
- Linear and polynomial equations
- Quadratics and functions
- Radicals, exponentials, logarithms, and trigonometry
Your college’s placement policy
ACCUPLACER is not pass/fail. Score reports range from 200 to 300, and each college sets its own placement rules.
Topics covered
- Score range: 200–300
- No universal passing score
- Confirm your required test
ACCUPLACER Practice Tests
Choose a practice activity. Independent practice results are study feedback, not official test scores.
ACCUPLACER Flashcards
Open a vocabulary or formula resource. Availability and scope are described below.
ACCUPLACER Study Guides
Compare the actual book titles and check their product pages before choosing. These are independent preparation resources.
Accuplacer Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the Accuplacer Math Test
Open the product page to check the contents, edition, format, and purchase options.
View book & purchase options → $17.99 · PDF
Accuplacer Math Exercise Book: A Comprehensive Workbook + Accuplacer Math Practice Tests
Open the product page to check the contents, edition, format, and purchase options.
View book & purchase options → $16.99 · PDF
The Most Comprehensive Accuplacer Math Preparation Bundle: Includes Accuplacer Math Prep Books, Workbooks, and Practice Tests
Open the product page to check the contents, edition, format, and purchase options.
View book & purchase options → $36.99 · PDF
ACCUPLACER Quick Review
Review one skill, try its practice, and use the result to choose your next step.
🧭 MATH TERMS · CONCEPTS · FORMULAS
ACCUPLACER Math Flashcards
Review core ideas from Arithmetic, Quantitative Reasoning, Algebra, and Statistics, plus Advanced Algebra and Functions.
95 numbered cards for Placement math: definitions, worked examples when useful, and a distinct hint on every card. Start with one topic, then mix the deck for review.
Recall
Try the term or formula before revealing its explanation.
Use a hint
Get a card-specific clue when you need a nudge.
Track progress
Every card is numbered and progress is saved in your browser.
5 ACCUPLACER Math Practice Paths
Five focused practice paths help you prepare for the ACCUPLACER Math test or tests your college assigned. The tests are untimed, and some questions include an on-screen calculator.
Arithmetic
Whole numbers, fractions, decimals, percents, and number comparisons.
Open Practice →
Quantitative Reasoning, Algebra, and Statistics
Rational numbers, ratios, linear models, probability, statistics, and geometry.
Open Practice →
Advanced Algebra and Functions
Polynomials, quadratics, functions, radicals, exponential models, and trigonometry.
Open Practice →
Mixed Math Review
Combine Arithmetic, QAS, and AAF skills after confirming which tests your college assigned.
Open Practice →
College Placement Readiness
Use practice results to target skills, then confirm placement requirements with your college.
Open Practice →
ACCUPLACER Math practice is untimed. Some questions include an on-screen calculator; handheld calculators require an approved accommodation.
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Jump into ACCUPLACER Math
See it. Understand it. Try it.
ACCUPLACER Math Quick Review follows the three math tests with short topic explanations, worked examples, and practice checks.
Six ways into ACCUPLACER Math
Every lesson starts with a visual explanation and ends with a chance to practice.
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Join students who study with a clearer path
This test prep online center is part of the Effortless Math library for ACCUPLACER Math. We connect lessons, worksheets, practice tests, books, and tools so students can study with a clearer next step.
This is an independent ACCUPLACER Math study center from the Effortless Math team. ACCUPLACER is a registered trademark of the College Board. The College Board does not endorse this page.
Plan your ACCUPLACER Math review
Start with the Arithmetic, QAS, or AAF test your college requires. Note each missed topic, review its lesson, and try a fresh example before taking another mixed practice set.
More review: Math dictionary · ACCUPLACER vocabulary · 30-Day ACCUPLACER Math Plan · Formula reference · ACCUPLACER practice with answers
Before You Plan Your ACCUPLACER Math Review
ACCUPLACER has separate Arithmetic, Quantitative Reasoning, Algebra, and Statistics (QAS), and Advanced Algebra and Functions (AAF) math tests. College Board describes the tests as generally untimed. Your college determines the required tests and placement requirements; there is no universal pass/fail target.
Official guidance: College Board: what is on each test · College Board: test-day guidance.
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Free ACCUPLACER Math Formula Sheet PDF
Open the complete ACCUPLACER 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.›
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ACCUPLACER 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.
Start quiz
Percents & Financial Math
Percent change, discounts, interest, and money math.
Start quiz
Solving Linear Equations
One-step to multi-step equations and literal equations.
Start quiz
Linear Functions & Graphs
Slope, intercepts, and writing the equation of a line.
Start quiz
Exponents & Polynomials
Exponent rules and polynomial operations.
Start quiz
Quadratic Functions & Equations
Factoring, the quadratic formula, and parabola graphs.
Start quiz
Geometry & Measurement
Area, volume, and measurement formulas.
Start quiz
Statistics & Probability
Centers, spreads, charts, and probability.
Start quiz
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ACCUPLACER 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
ACCUPLACER Math Resources
Integers and Number Sense
Fractions, Decimals, and Rational Numbers
- 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, Rates, and Proportions
Percent and Financial Math
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 and Equations
- 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
Inequalities
Coordinate Geometry
Lines and Systems
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
ACCUPLACER Math Mistakes to Watch For
Use a missed or guessed question to choose your next review. Open a worked check, then follow the link to the matching topic. These original examples explain methods and are not official test questions.
A smaller denominator can mean a larger fraction
Compare fractions using equal denominators or another consistent method. Denominator size alone does not decide their order.
See a worked check
Compare 5/8 and 2/3 using twenty-fourths: 15/24 and 16/24. Therefore 2/3 is larger.
Write the units in a rate
A unit rate tells you the amount for one unit. Keep the quantities in the order requested.
See a worked check
Three notebooks cost $7.50. The unit price is $7.50 ÷ 3 = $2.50 per notebook, so four cost $10 at the same rate.
A solution must satisfy both equations
Solving one equation is not enough for a system. Substitute into the other equation and check both results.
See a worked check
For x + y = 9 and y = 2x, substitute to get 3x = 9. Thus x = 3 and y = 6; both original equations are satisfied.
Factoring is not the final answer
When a quadratic equals zero, each factor can give a solution. Keep every solution that satisfies the original equation.
See a worked check
x² - x - 6 = 0 factors as (x - 3)(x + 2) = 0. The solutions are x = 3 and x = -2.
Read a function's input carefully
Substitute the requested input into every occurrence of the variable. Parentheses protect a negative input from sign mistakes.
See a worked check
If f(x) = x² + 3x, then f(-4) = (-4)² + 3(-4) = 16 - 12 = 4.
ACCUPLACER Math study tools
- Open flashcards — Review formulas, terms, and concepts.
- Open worksheets — Choose printable practice for the skill you need.
- Open topic lessons — Work through explanations and examples.
- Open practice tests — Use mixed practice to identify topics for review.
Choose Your ACCUPLACER Math Study Route
Choose the route that fits your preparation needs. Follow its linked steps, then use a fresh example or practice result to decide what comes next.
Review Arithmetic
Use this route for whole-number, fraction, decimal, and percent review. Confirm which test your college requires.
Keep an estimate beside your calculation to catch answers that are too large or small.
Review QAS skills
Focus on quantitative reasoning, algebra, and statistics when QAS is part of your placement requirement.
Write what each number means before choosing an operation.
Review AAF skills
Use this route for advanced algebra and functions. Confirm the required test and placement target with your college.
Use the complete topic collection for additional AAF areas; these three steps are a starting sequence.
Accuplacer Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the Accuplacer Math Test
For structured review, compare the guide’s contents and edition with your test requirements before choosing it.
- Compare the contents with your study needs
- 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 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 practice after the skill feels stable.
Pair it with free tools
Choose Your ACCUPLACER Math Book for Your Next Step
Choose one starting resource that fits your needs. Check the product page for the format, contents, and purchase options.
Accuplacer Math for Beginners 2026: The Ultimate Step by Step Guide to Preparing for the Accuplacer Math Test
Begin with explanations and worked examples when a method needs rebuilding.
View book details → $17.99 · PDF
Accuplacer Math Exercise Book: A Comprehensive Workbook + Accuplacer Math Practice Tests
Use the workbook to practice a weak topic, then return to mixed review.
View book details → $16.99 · PDF
Compare other available books
The Most Comprehensive ACCUPLACER Math Preparation Bundle: Includes ACCUPLACER Math Prep Books, Workbooks, and Practice Tests
Best complete library
A larger bundle for students who want the most coverage and extra practice.
ACCUPLACER Math in 30 Days: The Most Effective ACCUPLACER Math Crash Course
Best crash course
A fast review option when test day is close and the student needs focus.
10 Full Length ACCUPLACER Math Practice Tests: The Practice You Need to Ace the ACCUPLACER Math Test
Best practice
Use this after topic review to build pacing and test stamina.
ACCUPLACER Math FAQ
Can I retake the ACCUPLACER math test?
Retakes are set by each college, not by College Board. Some colleges allow a retest after a waiting period or after review work, and some charge a fee. Ask your testing center about its retest policy before your first attempt, so you can plan your study time.
What math is on the ACCUPLACER Math test?
ACCUPLACER math has three tests. Arithmetic covers whole-number, fraction, and decimal operations, percents, and number comparisons. QAS covers rational numbers, ratios, exponents, expressions, linear equations and graphs, probability, statistics, and geometry. AAF covers linear topics, factoring, quadratics, functions, radicals, rational and polynomial equations, exponential and logarithmic equations, and trigonometry.
How long is the ACCUPLACER Math test?
ACCUPLACER math tests are untimed. There is no fixed time limit.
Can I use a calculator on ACCUPLACER Math?
Some questions allow an on-screen calculator, indicated on the screen. Test takers cannot bring a handheld calculator unless they have an approved accommodation.
How do colleges use ACCUPLACER Math scores?
ACCUPLACER is not pass/fail. Multiple-choice scores range from 200 to 300, and each college sets its own placement requirements.
How should I study if I have 30 days?
Take a diagnostic first, list your weakest topics, study one topic family at a time, and take practice every week. The 30-day plan linked above gives that process a simple schedule.
Which ACCUPLACER Math book should I start with?
Start with ACCUPLACER Math for Beginners 2026 if you need step-by-step review. Choose the bundle or practice workbook if you already know the basics and need more structured practice.
Related Online Centers
Make This Your ACCUPLACER 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.
A USEFUL NEXT STEP
ACCUPLACER: study questions
Which ACCUPLACER math study route should I choose?
Confirm which test your college requires, then choose Arithmetic, QAS, or AAF. The routes link to relevant number skills, algebra, data, or functions. Each route is a starting sequence rather than a complete test blueprint.
Is there one passing score for ACCUPLACER math?
No. ACCUPLACER is used for placement, and each college sets its requirements. Confirm your required tests and placement targets with your college before selecting practice resources or a book.
Resources from Effortless Math · Editorial standards
