AP Precalculus Practice Questions – Free Drills and Strategy Guide
AP® Precalculus practice for the 2027 exam needs to reflect an important format change. The course content is still organized around four units, with Units 1 through 3 assessed on the AP Exam and Unit 4 available for instruction but not tested. What has changed is the exam itself: beginning in May 2027, the multiple-choice section has 42 questions instead of 40, and the timing for both multiple choice and free response has been revised. This guide explains the current 2027 format, the content and mathematical-practice weightings, the four recurring free-response task types, and how to use 30 free practice drills to prepare efficiently.
New for the 2027 AP Precalculus exam: College Board has changed the question count and timing while leaving the course content unchanged.
The 2027 exam is scheduled for Tuesday, May 11, 2027, Session 1. Section I now has 42 multiple-choice questions in 105 minutes, and Section II has 4 free-response questions in 70 minutes.
2027 AP® Precalculus Exam Format
The 2027 AP® Precalculus exam is a hybrid digital exam. Students complete multiple-choice questions and view free-response prompts in the Bluebook testing app, then handwrite their free-response answers in paper exam booklets. The exam lasts 2 hours and 55 minutes. Section I accounts for 62.5% of the total score and Section II accounts for 37.5%. Both sections are split by calculator policy, so students need to practice both exact algebraic work and efficient graphing-calculator use.
Section I: Multiple Choice
- 42 questions total · 105 minutes
- Part A: 29 questions, 65 min · no calculator (43.75% of score)
- Part B: 13 questions, 40 min · graphing calculator required (18.75% of score)
- 62.5% of total score
Section II: Free Response
- 4 questions, 6 points each · 70 minutes
- Part A: 2 questions, 35 min · graphing calculator required (18.75% of score)
- Part B: 2 questions, 35 min · no calculator (18.75% of score)
- 37.5% of total score
The calculator split is important. The first 29 multiple-choice questions and the final two free-response questions are no-calculator. A graphing calculator is required for MCQ Part B and FRQ Part A, although College Board notes that only some Part B multiple-choice questions actually require calculator use. On calculator sections, students should know how to graph functions, build tables, solve equations, and evaluate models efficiently. On no-calculator sections, symbolic fluency and exact reasoning matter more.
The Four AP® Precalculus Free-Response Question Types
The four free-response task types remain stable for 2027. Questions 1 and 2 make up calculator-required Part A; Questions 3 and 4 make up no-calculator Part B.
Free-Response Task Model
- FRQ 1: Function Concepts (Units 1 & 2, graphing calculator, no real-world context). Students work with functions represented graphically, numerically, and analytically. Tasks may include composition, inverse functions, zeros, asymptotic or end behavior, and function-model selection.
- FRQ 2: Modeling a Non-Periodic Context (Units 1 & 2, graphing calculator, real-world context). Students construct and analyze a polynomial, piecewise, exponential, or logarithmic model, calculate and interpret rates of change, and justify a conclusion about the model.
- FRQ 3: Modeling a Periodic Context (Unit 3, no calculator, real-world context). Students construct and analyze a sinusoidal model using amplitude, period, vertical shift, phase shift, and behavior over intervals.
- FRQ 4: Symbolic Manipulations (Units 2 & 3, no calculator, no real-world context). Students solve equations and rewrite exponential, logarithmic, trigonometric, and inverse-trigonometric expressions in equivalent forms while showing supporting algebraic work.
AP® Precalculus Unit and Function-Type Weightings
Only Units 1, 2, and 3 are assessed on the AP Exam. In the current 2026–27 course framework, Unit 1 carries 30–40% of the multiple-choice section, Unit 2 carries 25–40%, and Unit 3 carries 30–35%. Unit 4 is not assessed on the AP Exam.
| Unit | Topic | MCQ Weight |
|---|---|---|
| Unit 1 | Polynomial and Rational Functions | 30–40% |
| Unit 2 | Exponential and Logarithmic Functions | 25–40% |
| Unit 3 | Trigonometric and Polar Functions | 30–35% |
| Unit 4 | Functions Involving Parameters, Vectors, and Matrices | Not assessed |
College Board also publishes a more specific function-type distribution for the multiple-choice section. Trigonometric and polar functions have the highest fixed range, but all three assessed units remain important.
| Function Type | Unit | Approx. MCQ Weight |
|---|---|---|
| Trigonometric and Polar Functions | Unit 3 | 30–35% |
| Exponential and Logarithmic Functions | Unit 2 | 20–30% |
| Polynomial and Rational Functions | Unit 1 | 20–25% |
| General Functions (non-analytical) | Units 1 & 2 | 15–25% |
The Three Mathematical Practices and Their 2027 Exam Weight
The current Course and Exam Description reports exam weighting at the mathematical-practice level. These practices cut across all three tested units, so preparation should include more than isolated procedures.
| Mathematical Practice | What It Includes | Exam Weight |
|---|---|---|
| Practice 1: Procedural and Symbolic Fluency | Solving equations and inequalities, rewriting expressions in equivalent forms, and constructing functions through transformations, compositions, inverses, and regressions. | 35–50% |
| Practice 2: Multiple Representations | Reading and constructing graphical, numerical, analytical, and verbal representations of functions, with and without technology. | 20–30% |
| Practice 3: Communication and Reasoning | Describing function behavior, interpreting numerical results in context, and supporting conclusions or model choices with a logical rationale or appropriate data. | 30–40% |
The weighting makes the preparation priority clear: procedural fluency is essential, but communication and reasoning can account for as much as 40% of the exam. Students need to practice explaining what a result means, defending a model choice, and connecting mathematical work to a real-world context rather than stopping when they reach a numerical answer.
What AP® Precalculus Multiple-Choice Questions Actually Test
Multiple-choice questions use graphical, numerical, analytical, and verbal representations. Many questions place a function in a real-world context and ask students to interpret, model, compare, or reason from the mathematics rather than merely perform a calculation. The exam rewards students who can move between representations of the same function and recognize which representation is most useful for the task.
MCQ Part B requires a graphing calculator, and its 13 questions are the place to be fluent with graphing, regression, tables, intersections, and numerical solutions. College Board notes that only some of those questions actually require calculator use, however, so the best habit is to decide whether technology makes the task faster before reaching for it.
The 29 no-calculator questions in Part A directly reward algebraic and conceptual fluency. Questions about transformed sinusoidal functions, rational-function behavior, logarithmic equations, equivalent representations, and model properties require exact reasoning without a calculator shortcut.
Common Mistakes on AP® Precalculus
Twenty-nine of the 42 multiple-choice questions are no-calculator, and FRQ Part B is also no-calculator. Students who rely heavily on graphing technology during the year need deliberate practice manipulating expressions, solving equations, and reasoning from function properties exactly.
Communication and Reasoning accounts for 30–40% of the exam. If a problem asks what an average rate of change means in context, a bare number is incomplete. A strong response identifies the quantities, direction of change, appropriate units, and interval involved.
Model-selection questions require evidence. Check whether differences, ratios, residual behavior, periodicity, or another defining feature supports the proposed model. A mathematically plausible function type is not enough if the data or context points elsewhere.
AP Precalculus repeatedly asks students to move among forms of the same function: factored and expanded polynomials, exponential and logarithmic forms, transformed trigonometric functions, tables, graphs, and contextual descriptions. Practice translating among forms instead of mastering only one presentation.
FRQ 3 is the periodic-context modeling task. Amplitude, period, vertical shift, and phase shift each come from specific information in the context. Practicing the full construction process—including explaining what the parameters mean—makes this predictable question type much more manageable under time pressure.
Four Strategic Principles for the 2027 AP® Precalculus Exam
1. Practice Under the Correct Calculator Rules
MCQ Part A and FRQ Part B do not permit a calculator. MCQ Part B and FRQ Part A require a graphing calculator. Practice in those same conditions so that algebraic fluency and calculator fluency develop separately. On calculator-required sections, know how to use technology efficiently without rounding intermediate results unnecessarily.
2. Identify the Task Before You Start Calculating
Determine whether the problem asks you to solve, rewrite, construct, interpret, describe, or justify. Those task verbs signal what a complete answer must contain. A correct computation may still be incomplete if the problem asks for an interpretation or rationale.
3. Work Across All Four Representations
The exam deliberately moves among graphical, numerical, analytical, and verbal representations. During practice, translate between them: connect an equation to its graph, a table to a model, a model to its contextual meaning, and a graphical feature back to an analytical property.
4. Eliminate Answers with Specific Mathematical Reasons
Harder multiple-choice distractors are often plausible statements that fail for one precise reason. Instead of eliminating by instinct, name the flaw: wrong end behavior, incorrect zeros, a linear pattern where the data show constant ratios, a transformation in the wrong direction, or a model that conflicts with the context.
How to Use These Free AP® Precalculus Practice Drills
The drills below cover all three units assessed on the AP Exam across 30 short sets. Each drill uses functions, data sets, graphs, or modeling contexts followed by five questions designed to mix procedural fluency, multiple representations, and communication or reasoning. Work each set under realistic conditions, identify the task before reading the answer choices, and flag any question that exposes a gap for targeted review.
After each drill, read every explanation, including the ones for questions you answered correctly. The explanations identify why each distractor fails, which helps build the cross-representation reasoning the exam rewards. For a week-by-week review schedule, see the 2027 AP® Precalculus Study Guide.
AP® Precalculus Drills by Unit
AP® Precalculus practice questions organized by unit. Each drill takes about 5–8 minutes and targets a specific skill the exam rewards. Each drill includes a function, data set, graph, or modeling context followed by five questions mixing procedural fluency, multiple representations, and reasoning tasks, with full explanations for every answer choice.
Unit 1: Polynomial and Rational Functions (30–40%)
- 1AP Precalculus: Change in Tandem→
- 2AP Precalculus: Rates of Change→
- 3AP Precalculus: Polynomial Functions & Rates of Change→
- 4AP Precalculus: Polynomial Functions & Complex Zeros→
- 5AP Precalculus: Polynomial End Behavior→
- 6AP Precalculus: Rational Functions, End Behavior & Zeros→
- 7AP Precalculus: Rational Functions, Asymptotes & Holes→
- 8AP Precalculus: Equivalent Representations→
- 9AP Precalculus: Transformations of Functions→
- 10AP Precalculus: Function Model Selection→
Unit 2: Exponential and Logarithmic Functions (25–40%)
- 11AP Precalculus: Arithmetic & Geometric Sequences→
- 12AP Precalculus: Change in Linear and Exponential Functions→
- 13AP Precalculus: Exponential Functions→
- 14AP Precalculus: Exponential Models→
- 15AP Precalculus: Composition of Functions→
- 16AP Precalculus: Inverse Functions→
- 17AP Precalculus: Logarithmic Expressions→
- 18AP Precalculus: Logarithmic Functions→
- 19AP Precalculus: Exponential & Logarithmic Equations→
- 20AP Precalculus: Semi-log Plots→
Unit 3: Trigonometric and Polar Functions (30–35%)
- 21AP Precalculus: Periodic Phenomena & Unit Circle→
- 22AP Precalculus: Sine & Cosine Function Values→
- 23AP Precalculus: Sinusoidal Functions, Amplitude, Period & Midline→
- 24AP Precalculus: Sinusoidal Function Models→
- 25AP Precalculus: The Tangent Function→
- 26AP Precalculus: Inverse Trigonometric Functions→
- 27AP Precalculus: Trigonometric Equations→
- 28AP Precalculus: Equivalent Trigonometric Expressions→
- 29AP Precalculus: Polar Coordinates & Polar Graphs→
- 30AP Precalculus: Rates of Change in Sinusoidal Functions→
Official sources: 2027 exam date, question counts, timing, calculator policy, and scoring weights are based on the College Board AP Precalculus Exam page and the AP Precalculus Course and Exam Description, effective Fall 2026.
AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this website. See full Trademark & Disclaimer.