AP Precalculus Practice Test: Free Questions with Answers 2026
Free AP Precalculus practice test with answers and explanations. Review polynomial, rational, exponential, logarithmic, trig and polar functions for 2026.
What the AP Precalculus Exam Is and Who Takes It
AP Precalculus is a College Board course and exam built around one idea: understanding how quantities change and how functions model that change. Instead of drilling isolated algebra tricks, the course asks you to describe a function's behavior, build a model from a situation, and explain what the model says about the real context.
Most test takers are high school students who finished Algebra II or an equivalent and want a stronger base for calculus, statistics, engineering, or science courses. Some are homeschoolers or self-study students who sit the exam through a participating school. Many colleges grant credit or placement for qualifying scores, but policies differ a lot by school and by major. Check the credit policy of each college you are considering rather than assuming.
The content centers on these function families:
- Polynomial and rational functions, including zeros, end behavior, and asymptotes
- Exponential and logarithmic functions, including modeling growth and decay
- Trigonometric functions, including graphs, identities, and equations
- Polar functions, including graphing and interpreting polar curves
The exam rewards two skills equally: fluent technique and clear written reasoning. A correct answer with no justification often earns only partial credit on the free-response questions, so practice explaining your steps as well as getting results.
AP Precalculus: upcoming dates and official changes
- Mar 12, 2027: Orders placed after November 13, 2026 carry a late order fee and must be submitted by March 12, 2027, 11:59 p.m. ET; the same date is the deadline for courses that start after November 13. (College Board)
- May 3, 2027 โ May 14, 2027: The 2027 AP Exams, including AP Precalculus, are administered in schools over two weeks in May: May 3โ7 and May 10โ14. (apstudents.collegeboard.org)
- May 11, 2027: The 2027 AP Precalculus Exam is scheduled for Tuesday, May 11, 2027, in Session 1. (College Board)
- May 20, 2027: The AP Precalculus late-testing exam is scheduled for Thursday, May 20, 2027, in Session 1. (College Board)
Facts verified Nov 9, 2026 against College Board. Dates that have passed are removed automatically.
- Section II of the AP Precalculus Exam has 4 free-response questions. (College Board)
- The AP Precalculus Exam lists 42 multiple-choice questions in Section I and 4 free-response questions in Section II. (College Board)
- AP Exams, including AP Precalculus, are scored on a scale of 1 to 5, and many U.S. colleges grant credit or placement for scores of 3 and above. (apstudents.collegeboard.org)
- The 2026-27 AP Exam fee is $129 per exam at schools everywhere other than the U.S., U.S. territories, Canada and DoWEA. (College Board)
- A late order fee of $40 per exam is added to the base AP exam fee for exams ordered between November 14, 2026 and March 12, 2027. (College Board)
- The AP Precalculus Exam is a hybrid digital exam: multiple-choice questions are answered in the Bluebook app and free-response answers are handwritten in paper booklets. (College Board)
- Most AP scores, including AP Precalculus, are released in July, though some may take longer to process. (apstudents.collegeboard.org)
- The 2027 AP Exams, including AP Precalculus, are administered in schools over two weeks in May: May 3โ7 and May 10โ14. (apstudents.collegeboard.org)
Facts verified Nov 9, 2026 against College Board. Dates that have passed are removed automatically.
AP Precalculus Exam at a Glance
| Item | Detail | Official source |
|---|---|---|
| Number of questions (free response (Section II)) | 4 free-response questions | College Board |
| Number of questions (multiple choice (Section I)) | 42 multiple-choice + 4 free-response | College Board |
| Passing score | Scored 1โ5; many colleges grant credit for 3+ | apstudents.collegeboard.org |
| Exam fee (all other schools) | $129 per exam | College Board |
| Exam fee (late order fee) | $40 extra per exam | College Board |
| Delivery | Hybrid digital (Bluebook + paper booklets) | College Board |
| Score release | Most scores available in July | apstudents.collegeboard.org |
| Next exam date | Tue, May 11, 2027 (Session 1) | College Board |
| Late registration deadline (late testing) | Late testing: Thu, May 20, 2027 (Session 1) | College Board |
| Late registration deadline (spring courses / late order) | Mar 12, 2027, 11:59 p.m. ET | College Board |
| Testing window | May 3โ7 and May 10โ14, 2027 | apstudents.collegeboard.org |
Facts verified Nov 9, 2026 against College Board. Dates that have passed are removed automatically.
AP Precalculus Practice Test Questions
Prepare for the AP Precalculus exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.
AP Precalculus Exponential Functions and M...
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AP Precalculus Polar Functions
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AP Precalculus Polynomial Functions
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AP Precalculus Exam Content Areas
Each practice quiz below matches one content area of the AP Precalculus. Start with the area you know least.
This area covers how polynomial functions behave and how to read that behavior from an equation or a graph. Study zeros and their multiplicity, how the degree and leading coefficient control end behavior, and how to find intervals where the function is increasing, decreasing, or concave in a given direction. Practice building a polynomial from its zeros, dividing polynomials, and using the relationship between factors and x-intercepts. Know what a rate of change means for a polynomial, including average rate of change over an interval. Be ready to explain your reasoning in words, since free-response questions often ask you to justify a claim about a graph or model.
How the AP Precalculus Exam Works
The AP Precalculus Exam is a hybrid digital exam. You answer the multiple-choice questions in the Bluebook app, then write your free-response answers by hand in a paper booklet. That mix matters for practice: you need to be comfortable reading a question on a screen and also laying out a full written solution on paper.
The exam has two sections. Section I has 42 multiple-choice questions. Section II has 4 free-response questions. Parts of each section allow a graphing calculator and parts do not, so you need to know when a calculator helps and when exact algebra is expected. Confirm the current calculator rules and approved models on the official AP Central page before test day.
Scores are reported on a scale of 1 to 5. Many U.S. colleges grant credit or placement for a 3 or higher. Most scores are released in July, though some take longer to process.
What the free-response questions tend to test:
- Interpreting a function in context and justifying a claim in words
- Building or fitting a model from given information
- Working across representations: graph, table, equation, and description
- Using a calculator for regression or numerical work, then stating the result with units
Because free-response answers are graded on reasoning, show each step and state conclusions in a full sentence tied to the context.
How to Prepare: A Study Plan That Works
A good plan starts with a baseline, not a textbook. Take a short quiz on each function family before you review anything. The results show where you actually lose points, which is rarely where you expect.
- Diagnose. Take each topic quiz cold and mark every miss as a concept gap, a careless error, or a calculator problem.
- Fix concepts first. For each concept gap, reread your class notes, then redo the missed question without looking at the answer.
- Practice by family. Spend focused sessions on one function family at a time. Mixed sets come later.
- Write it out. Pick a few free-response style prompts per week and write full justifications by hand, since the real answers go in a paper booklet.
- Learn your calculator. Practice regression, finding intersections, and graphing in a window that shows the feature you need.
- Mix and time yourself. In the final weeks, switch to mixed sets and the exam simulator so topic switching feels normal.
- Keep an error log. Write down each repeated mistake in one line and review the log before every session.
Short, frequent sessions beat one long weekend cram. Rational functions, logarithm properties, and trigonometric graph transformations deserve extra repetition because small sign or domain mistakes cost points on them.
Test Day and After the Exam
The 2027 AP Exams run over two weeks in May, May 3โ7 and May 10โ14. AP Precalculus is scheduled for Tuesday, May 11, 2027, in Session 1. A late-testing exam is scheduled for Thursday, May 20, 2027, also in Session 1, for students with an approved conflict.
Registration goes through your school, not through this site. Ask your AP coordinator about ordering and fees, and read the official AP Central page for current rules. The 2026-27 exam fee is $99 per exam at schools in the U.S., U.S. territories, Canada, and DoWEA schools, and $129 at schools everywhere else. Orders placed after November 13, 2026 carry a late fee of $40 per exam, and the order deadline is March 12, 2027, 11:59 p.m. ET.
Before the exam:
- Install and test the Bluebook app on the device you will use, and confirm any setup steps your school requires.
- Bring approved supplies, including a permitted graphing calculator with fresh batteries.
- Sleep properly the night before rather than cramming.
During the exam, answer the questions you know first, mark the ones you do not, and return to them. On the written section, show your work even when you are unsure; partial reasoning can earn credit.
After the exam, most scores arrive in July. When they do, send them to the colleges you plan to attend and check each college's credit policy.
How to Use These Practice Tests
The topic quizzes on this page match the content areas of the course, so you can target your weakest area instead of working through a random mixed set. Start with the area you feel least sure about. Read the explanation for every question, including ones you got right, since a lucky guess hides a gap.
A routine that works well:
- Take a topic quiz untimed at first, with the calculator rules in mind.
- Review each miss and write the correct reasoning in your own words.
- Redo the missed question a few days later without help.
- Use the flashcards below for quick recall of definitions and key relationships.
- Finish with the exam simulator to practice pacing across a full session.
Be realistic about what free practice can do. These questions are written to mirror the style and content of the course, but they are not official College Board questions, and they cannot predict your score. Treat results as a guide to what to study, not as a score forecast. For the official course description, sample questions, and scoring guidelines, use the AP Central page for AP Precalculus.
If you want a printable version of your work, copy missed questions and your corrected solutions into your own notes. Writing them out by hand also trains the paper-booklet part of the exam.
AP Precalculus Study Checklist
- โTake a diagnostic quiz on each function family before reviewing
- โList the topics where you miss questions for concept reasons
- โWrite full justifications for free-response style prompts by hand
- โPractice regression and graphing on your approved calculator
- โMemorize logarithm properties and key trigonometric identities
- โKeep an error log and review it before every session
- โCheck that the Bluebook app works on your test device
- โRun the exam simulator at least once before test day
Preparing for the AP Precalculus with Free Practice Tests
- +Free access, so you can practice as often as you need
- +Instant feedback shows which topics need work
- +Explanations teach the reasoning, not just the answer
- +Topic quizzes let you target your weakest area
- โQuestions are not official College Board items
- โTyping answers online does not train handwritten justification
- โScores cannot predict your actual exam result
- โUnofficial questions may differ from the real exam in difficulty
How do the degree and leading coefficient of a polynomial determine its end behavior?
The degree tells you whether both ends point the same way (even degree) or opposite ways (odd degree). The sign of the leading coefficient tells you whether the right end rises or falls. Together they fix the long-run behavior regardless of the middle of the graph.
START POLYNOMIAL FUNCTIONS PRACTICE TESTHow can you tell a hole from a vertical asymptote in a rational function?
Factor the numerator and denominator. A factor that cancels leaves a hole at that input. A factor that remains in the denominator after cancelling gives a vertical asymptote there.
START RATIONAL FUNCTIONS PRACTICE TESTWhat does the growth factor in an exponential model tell you?
It is the number the output is multiplied by for each equal step in the input. A factor above one means growth and a factor between zero and one means decay. The percent change per step comes from how far the factor is from one.
START EXPONENTIAL FUNCTIONS AND MODELING PRACTICE TESTWhy is a logarithm the inverse of an exponential function?
A logarithm answers the question of what exponent produces a given value for a given base. Applying one function and then the other returns the original input. That is why their graphs are reflections of each other across the line y = x.
START LOGARITHMIC FUNCTIONS PRACTICE TESTWhat do amplitude, midline, and period describe in a sinusoidal function?
The midline is the horizontal line halfway between the maximum and minimum values. The amplitude is the distance from the midline to a maximum. The period is the length of input over which the pattern repeats.
START TRIGONOMETRIC FUNCTIONS PRACTICE TESTHow do you read a polar graph when the radius changes with the angle?
Track the radius as the angle increases. When the radius gets larger the curve moves away from the origin, and when it gets smaller it moves toward the origin. A negative radius plots the point on the opposite side of the origin.
START POLAR FUNCTIONS PRACTICE TESTAP Precalculus Questions and Answers
How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- apstudents.collegeboard.org โ Score release, passing score, test dates ยท verified Nov 2026
- apcentral.collegeboard.org โ Test delivery, exam dates, exam format, fees, late registration ยท verified Nov 2026