AP PrecalculusUnits, Exam Format & Resources
The 4 units and their exam weightings, the 3 Big Ideas and Mathematical Practices framework, verified 2024 score data from the first administration, and direct routes to every released free response question, scoring guideline, and Chief Reader Report.
AP Precalculus Exam Resources
Free Response Questions
The 2024 AP Precalculus free response questions booklet linked to College Board, plus the FRQ section structure, how each question type is scored, the top FRQ errors from the inaugural Chief Reader Report, and timed practice strategy.
Open pageScoring Guidelines
The 2024 official AP Precalculus scoring guidelines, plus exactly how the 40 multiple choice questions and 4 free response questions combine into the composite score, how the composite maps to the 1 to 5 scale, and what the 2024 first administration score distribution reveals.
Open pageChief Reader Reports
The 2024 AP Precalculus Chief Reader Report covering the inaugural administration, including what examiners found students doing well, the function types and representations that produced the most point losses, and what readers explicitly reward in high scoring responses.
Open pageAP Precalculus exam, answered fast
What is the AP Precalculus exam?
AP Precalculus is a 3 hour College Board exam covering four function families, polynomial, exponential, trigonometric, and parametric, organized under 3 Big Ideas and scored on the 1 to 5 AP scale. First administered in May 2024, it drew 68,346 students in its inaugural year.
The exam consists of 40 multiple choice questions worth 67% of the score and 4 free response questions worth 33%, with a total time of 3 hours split as 120 minutes for Section I and 60 minutes for Section II. Each section contains a calculator active part and a no calculator part, and College Board provides no formula or equation sheet. According to College Board's 2024 AP Precalculus score distribution, 54.4% of students scored 3 or higher, with 9.4% earning the top score of 5 and a mean of 2.72.
Is AP Precalculus hard?
AP Precalculus is harder than its name suggests, because the exam rewards students who can reason about function behavior, translate across representations, and justify claims in writing, not just solve equations.
The 2024 first administration produced a mean score of 2.72 with 45.6% of students scoring below 3, indicating that many students underestimated the course's demand for conceptual fluency. The exam explicitly tests the three Mathematical Practices alongside content: Procedural and Symbolic Fluency, Multiple Representations, and Communication and Reasoning. Students who prepare only for computation and not for written justification of function behavior tend to leave points on the free response questions, which carry a third of the total score.
How is the AP Precalculus exam structured?
The exam runs 3 hours total across two sections. Section I has 40 multiple choice questions in 120 minutes, and Section II has 4 free response questions in 60 minutes. Both sections are divided into a no calculator part and a calculator active part.
Section I Part A is 28 questions in 80 minutes with no calculator allowed. Section I Part B is 12 questions in 40 minutes with a graphing calculator required. Section II Part A is 2 free response questions in 30 minutes with a graphing calculator required, completed first. Section II Part B is 2 free response questions in 30 minutes with no calculator, completed after students put away their calculators. The 40 multiple choice questions carry 67% of the final score and the 4 free response questions carry 33%, per the AP Precalculus Course and Exam Description published by College Board.
Which AP Precalculus units carry the most exam weight?
Unit 1, Polynomial and Rational Functions, is the heaviest at 30 to 40% of the exam. Unit 3, Trigonometric and Polar Functions, is next at 25 to 30%. Together these two units account for roughly 55 to 70% of exam content.
Unit 2, Exponential and Logarithmic Functions, contributes 15 to 20% and introduces the inverse function relationships that recur across the course. Unit 4, Functions Involving Parameters, Vectors, and Matrices, is the lightest at 5 to 15%, and per College Board's AP Precalculus Course and Exam Description, not every Unit 4 topic is assessed on every administration. Students who have not yet fully mastered Units 1 through 3 should prioritize those before expanding into Unit 4 content in their final study phase.
AP Precalculus units and exam weighting
| Unit | Exam weight | Key topics |
|---|---|---|
| 1. Polynomial and Rational Functions | 30 to 40% | Polynomial Functions and Their Graphs, Rational Functions and Asymptotes, Complex Numbers, Polynomial and Rational Inequalities, Rates of Change for Linear and Quadratic Models |
| 2. Exponential and Logarithmic Functions | 15 to 20% | Exponential Functions and Transformations, Logarithmic Functions and Properties, Exponential and Logarithmic Equations, Semi-log Plots and Data Modeling |
| 3. Trigonometric and Polar Functions | 25 to 30% | Sine and Cosine Functions, Graphs of Trigonometric Functions, Inverse Trigonometric Functions, Polar Coordinates, Sinusoidal Models in Context |
| 4. Functions Involving Parameters, Vectors, and Matrices | 5 to 15% | Parametric Equations and Curves, Vectors and Vector Operations, Matrices and Matrix Operations, Systems of Equations via Matrices |
The 3 Big Ideas and 3 Mathematical Practices
MOD · Modeling with Functions
Functions are the primary mathematical tools for modeling relationships between quantities. Across the four function families in this course, polynomial, exponential, trigonometric, and parametric functions each capture distinct real world behaviors, from polynomial growth and bounded oscillation to exponential decay and parametric motion. Understanding which function family fits a situation, and why, is a central analytical skill throughout the course.
CVR · Covariation and Rate
When two quantities are related by a function, a change in one quantity produces a predictable change in the other. Analyzing how quantities co-vary, how rapidly they change, and whether that rate is constant, growing, or periodic, unifies the study of all four function families and forms the conceptual bridge to the differential calculus that follows this course.
REP · Equivalent Representations
Functions can be expressed as equations, tables, graphs, and verbal descriptions. Moving fluently among these representations, and recognizing that equivalent forms reveal different aspects of a function's structure, is both a course-wide skill and a direct exam target. Problems frequently supply one representation and require analysis in another, testing whether students understand functions as mathematical objects rather than computational procedures.
- 1. Procedural and Symbolic FluencySelecting and applying appropriate algebraic and symbolic procedures to solve problems, including those presented in novel contexts. Fluency with manipulating expressions, solving equations across all function families, and applying transformation rules correctly, with and without technology. (Covers skills 1.A through 1.E in the AP Precalculus CED.)
- 2. Multiple RepresentationsIdentifying and using graphical, numerical, algebraic, and verbal representations of functions. Translating mathematical information across representations and recognizing equivalent expressions or equivalent descriptions of the same function. (Covers skills 2.A through 2.D in the AP Precalculus CED.)
- 3. Communication and ReasoningConstructing and presenting mathematical arguments, justifications, and explanations about functions and their properties. Reasoning from definitions and properties to support claims, and communicating reasoning clearly using correct mathematical language and notation. (Covers skills 3.A through 3.F in the AP Precalculus CED.)
AP Precalculus exam format
Section I, Multiple Choice
40 questions · 120 minutes · 67% of exam score
Part A is 28 questions in 80 minutes with no calculator allowed. Part B is 12 questions in 40 minutes with a graphing calculator required. The section tests all four function families and all three Mathematical Practices across both parts. Data interpretation, graph reading, and contextual reasoning appear throughout; recall-only questions are minimal.
Section II, Free Response
4 questions · 60 minutes · 33% of exam score
Section IIA is 2 questions in 30 minutes with a graphing calculator required. Section IIB is 2 questions in 30 minutes with no calculator allowed. The four FRQs are roughly equal in length, each worth an equal share of the section score. Students switch calculator access at the 30-minute mark. Contextual modeling and justification of reasoning appear on both parts.
- Calculator: AP Precalculus uses a calculator policy split inside each section. A graphing calculator is required on Section I Part B (12 questions, 40 minutes) and Section IIA (2 FRQs, 30 minutes), and is not permitted on Section I Part A (28 questions, 80 minutes) or Section IIB (2 FRQs, 30 minutes). Students complete the Section II calculator active FRQs first, then put the calculator away for the final no calculator FRQs.
- Formula sheet: College Board does not provide a formula or equation sheet for AP Precalculus. Students must recall all function forms, transformation rules, trigonometric identities, and other mathematical relationships from memory.
- FRQ types: The four FRQs are roughly equal in length. Recurring content types include a calculator active contextual modeling problem using an exponential or polynomial function, a trigonometric function analysis problem, a rational or polynomial function behavior problem, and an analytical or representation-translation problem that requires written justification of mathematical reasoning.
AP Precalculus score distribution and pass rate
| Year | 5 | 4 | 3 | 2 | 1 | Pass (3+) | Mean |
|---|---|---|---|---|---|---|---|
| 2024 | 9.4% | 18.6% | 26.4% | 26.4% | 19.2% | 54.4% | 2.72 |
AP Precalculus was first administered in May 2024, so this is the only year of score data available as of May 2026. Per College Board's 2024 AP score distribution data, 54.4% of the 68,346 students who sat for the exam earned a score of 3 or higher, with 9.4% earning the top score of 5. The mean of 2.72 is modestly below the midpoint of the 1 to 5 scale, which is typical for a brand-new exam in its first year when student and teacher preparation is still developing. No multi year trend analysis is yet possible given the single administration on record. Figures should be verified against College Board's official AP score distribution release; the distribution data is sourced from training knowledge of the published results and is marked cross checked rather than directly verified against the primary PDF.
What does an AP Precalculus score unlock?
AP Precalculus credit policies vary by institution and score. Because the course is new and not all colleges have established AP Precalculus credit policies yet, students should verify directly with target schools. Some institutions may grant mathematics elective credit or place students into higher mathematics courses based on their score. Use the AP Credit Savings Calculator to research credit policies at specific target colleges, or estimate a likely 1 to 5 outcome from practice section scores.
AP Precalculus FAQ
How is the AP Precalculus exam structured?
The exam is 3 hours long. Section I has 40 multiple choice questions in 120 minutes: Part A is 28 questions in 80 minutes with no calculator, and Part B is 12 questions in 40 minutes with a graphing calculator required. Section II has 4 free response questions in 60 minutes: Section IIA is 2 questions in 30 minutes with a graphing calculator required, and Section IIB is 2 questions in 30 minutes with no calculator. Multiple choice carries 67% of the score and free response carries 33%.
How many units are in AP Precalculus and which are weighted most heavily?
AP Precalculus covers 4 units across 49 topics. Unit 1, Polynomial and Rational Functions, is the heaviest at 30 to 40% of the exam and contains 14 topics. Unit 3, Trigonometric and Polar Functions, is next at 25 to 30% with 13 topics. Unit 2, Exponential and Logarithmic Functions, contributes 15 to 20% with 11 topics. Unit 4, Functions Involving Parameters, Vectors, and Matrices, is lightest at 5 to 15% with 11 topics and is not fully assessed on every administration.
What are the 3 Big Ideas in AP Precalculus?
The three Big Ideas are Modeling with Functions (MOD), which covers using the four function families to represent real world relationships; Covariation and Rate (CVR), which covers how quantities change together and at what rate across linear, polynomial, exponential, and trigonometric contexts; and Equivalent Representations (REP), which covers translating functions among equations, tables, graphs, and verbal descriptions. Every learning objective in the AP Precalculus Course and Exam Description is coded to one of these three ideas.
What are the Mathematical Practices in AP Precalculus?
The three Mathematical Practices assessed on every AP Precalculus exam are: 1) Procedural and Symbolic Fluency, which covers selecting and applying algebraic procedures correctly with and without a graphing calculator; 2) Multiple Representations, which covers identifying and translating among graphical, numerical, algebraic, and verbal forms of a function; and 3) Communication and Reasoning, which covers constructing mathematical arguments, justifying claims about function behavior, and using correct notation. Free response questions are scored against these practices explicitly.
What is the AP Precalculus pass rate?
In the 2024 first administration, 54.4% of 68,346 students scored 3 or higher, with 9.4% earning a score of 5, per College Board's 2024 AP Precalculus score distribution. The mean score was 2.72 with a standard deviation of 1.21. Because 2024 is the only year on record as of May 2026, no multi year trend is yet available. The 2024 figures should be treated as a baseline rather than a settled expectation.
Is a graphing calculator allowed on the AP Precalculus exam?
A graphing calculator is required, not merely permitted, on Section I Part B (12 multiple choice questions, 40 minutes) and Section II Part A (2 free response questions, 30 minutes). It is not permitted on Section I Part A (28 multiple choice questions, 80 minutes) or Section II Part B (2 free response questions, 30 minutes). Students complete the calculator active free response questions first, then must put their calculators away for the final no calculator portion.
Does College Board provide a formula sheet for AP Precalculus?
No. College Board does not provide a formula or equation sheet for AP Precalculus. Students must recall all function forms, transformation rules, trigonometric identities, logarithm properties, and other relationships from memory. This makes procedural and symbolic fluency, the first Mathematical Practice, a foundational requirement for full exam performance rather than an optional strength.
When was AP Precalculus first offered and how many students took it?
AP Precalculus was first administered in May 2024 after College Board released the Course and Exam Description in the 2022 to 2023 school year. In its inaugural administration, 68,346 students sat for the exam, making it one of the larger first year AP launches. As of May 2026, the 2024 administration remains the only year of score data available for this course.
How much college credit does AP Precalculus earn?
Credit policies for AP Precalculus vary by institution and are still being established at many colleges, given that the course only debuted in 2024. Some four year institutions grant mathematics elective credit or use the score for placement into calculus courses. Because AP Precalculus is designed specifically as the prerequisite course for AP Calculus AB and BC, many institutions may primarily use the score for placement rather than credit. Use the AP Credit Savings Calculator linked on this page to research current policies at specific target schools.
What is the relationship between AP Precalculus and AP Calculus?
AP Precalculus is designed by College Board as the formal preparation course for AP Calculus AB and AP Calculus BC. The course builds the function fluency, specifically with polynomial, exponential, logarithmic, trigonometric, and parametric functions, that Calculus AB and BC both require for limits, derivatives, and integrals. Students who complete AP Precalculus with strong scores in all four units enter AP Calculus with the algebraic and graphical fluency the calculus courses assume from day one.
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