The AP Calculus AB practice test on this page gives you free, topic-by-topic questions that mirror the College Board's AP Calculus AB course: limits, derivatives, integrals and differential equations. Use it to find weak spots, then fix them before the exam.
The 2027 AP Calculus AB Exam is on Monday, May 10, 2027. Each quiz below targets one content area and explains every answer, so you learn the reasoning and not only the result. This site is independent and is not affiliated with College Board. For registration, fees and official course material, use the AP Central page for the course.
AP Calculus AB is a College Board exam that tests whether you can do the work of a first college calculus course focused on one-variable calculus. It centers on limits, derivatives, integrals and the Fundamental Theorem of Calculus, and on using those ideas to model real situations such as motion, rates of change and accumulated quantity.
Most test takers are high school students who have completed an AP Calculus AB course. Some are self-studying, and some take it after a precalculus course with a strong algebra and trigonometry foundation. Colleges set their own credit and placement rules, so check the policy of each school you are considering.
One rule affects planning: students may not take both the AP Calculus AB and AP Calculus BC Exams within the same year. BC covers everything in AB plus extra topics such as series, so pick the exam that matches the course you are enrolled in.
The exam rewards three habits more than memorized formulas:
The practice quizzes on this page are built around those habits, so you will see graphs and tables as often as plain equations.
Facts verified Nov 8, 2026 against College Board. Dates that have passed are removed automatically.
Facts verified Nov 8, 2026 against College Board. Dates that have passed are removed automatically.
| Item | Detail | Official source |
|---|---|---|
| Retake policy | Retake each time offered (once a year in May) | College Board |
| Delivery | Hybrid digital: Bluebook app for multiple choice, handwritten free response | College Board |
| Eligibility | Cannot take both Calculus AB and BC in the same year | College Board |
| Score release | Most scores available in July | College Board |
| Next exam date | Mon, May 10, 2027 (Session 1) | College Board |
| Testing window | May 3–7 and May 10–14, 2027 | College Board |
Facts verified Nov 8, 2026 against College Board. Dates that have passed are removed automatically.
Prepare for the AP Calculus AB exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.
Each practice quiz below matches one content area of the AP Calculus AB. Start with the area you know least.
This area builds the foundation for everything else. You evaluate limits from graphs, tables and algebra, including one-sided limits, limits at infinity, and infinite limits. You also learn the formal idea of continuity and the types of discontinuity: removable, jump and infinite.
Study how to simplify expressions by factoring or rationalizing to remove indeterminate forms, and know the squeeze theorem and the Intermediate Value Theorem and when each applies. Be ready to explain in words why a function is or is not continuous at a point. Practice reading limit behavior from a graph, since many questions give a picture and no equation.
This area covers the derivative as the limit of a difference quotient and as an instantaneous rate of change or slope of a tangent line. You then learn the shortcut rules: power, product, quotient and chain, along with derivatives of trigonometric, exponential and logarithmic functions.
Focus on the chain rule, which appears inside nearly every harder problem, and on implicit differentiation and derivatives of inverse functions. Know the link between differentiability and continuity. Practice finding tangent line equations and using them for linear approximation, and make sure your notation is precise when you write answers by hand.
Here you use derivatives to solve problems. Core skills include related rates, optimization, motion along a line (position, velocity and acceleration), and analyzing graphs with the first and second derivatives to find increasing and decreasing intervals, extrema, concavity and inflection points.
Learn the Mean Value Theorem and the Extreme Value Theorem and the conditions that make each valid. For justification questions, state the test you used, such as a sign change of the derivative, and then give the conclusion. Also review L'Hospital's Rule for indeterminate limits. Practice drawing a sketch for related rates and optimization before writing any equation.
This area introduces the integral as accumulated change. You approximate areas with Riemann sums using left, right, midpoint and trapezoidal methods, then connect them to the definite integral and the Fundamental Theorem of Calculus.
Study antiderivatives of basic functions, substitution, and properties of definite integrals. Pay close attention to functions defined as an integral with a variable limit, because their derivatives and graphs appear often. Practice interpreting an integral of a rate in context, for example total change over an interval, and include units in your answers.
This area focuses on equations that relate a function to its derivative. You learn to read slope fields, sketch solution curves from them, and solve separable equations, usually with an initial condition to find a particular solution.
Review exponential growth and decay models and what the constant means in context. Be careful with algebra when separating variables, and do not forget the constant of integration before applying the initial condition. Practice matching a slope field to its equation by checking slopes along an axis or a line. Free-response problems often ask you to combine a slope field, a tangent line estimate and a solved equation.
This area uses definite integrals to measure quantities. You find the area between curves, and volumes of solids using cross sections with known shapes and solids of revolution by the disc and washer methods. You also use integrals for motion, finding displacement, total distance and average value of a function.
The hardest step is setup: identify the bounds, decide which function is on top or farther from the axis, and choose the variable of integration. Sketch the region before writing the integral. Practice interpreting results with units, and know when a calculator is allowed to evaluate a hard integral.
The AP Calculus AB Exam is a hybrid digital exam. You answer the multiple-choice questions in the Bluebook app, and you handwrite your free-response answers in paper booklets. That mix matters for practice: you need to be comfortable choosing answers on a screen, and also writing out full solutions by hand.
The exam has two kinds of questions:
The 2027 AP Exams are administered in schools over two weeks, May 3–7 and May 10–14, 2027. AP Calculus AB is on Monday, May 10, 2027, in Session 1 of the AP Exam schedule. Your school's AP coordinator will confirm your room and start time.
Free-response answers are scored on specific points for setup, method and conclusion, so partial credit is common. Always write the integral or derivative you are using before you evaluate it, and include units when the problem has a real-world context. For exact question counts, timing and scoring rules, see the official course page.
A good AP Calc AB plan moves from skills to timed practice. Work through these steps in order and adjust the pace to the weeks you have left.
Keep an error log. For every missed question, write down whether the cause was a concept, a calculation slip or a reading mistake. Patterns show up quickly.
Prepare your logistics a few days ahead. Confirm the date, May 10, 2027, and your start time with your school's AP coordinator. Make sure the Bluebook app is installed on your device, signed in and tested, and that your device is charged. Bring the approved graphing calculator you have practiced with, plus pencils or pens for the free-response booklets. The official exam rules on AP Central list what is allowed in the room.
On the day:
After the exam, most AP scores, including AP Calculus AB, are available in July, though some take longer to process. Students can retake the exam each time it is offered, which is once a year in May. If you are unhappy with a result, you can take it again the following May. Check each college's credit policy for how it treats AP scores.
Treat the six quizzes on this page as a diagnostic first and a drill second. Start with the quiz for the area you feel least sure about, answer without notes, and read the explanation for every question, including the ones you got right. A correct guess teaches nothing.
Then follow this loop:
When you have covered every content area, switch to the exam simulator for mixed practice that is closer to test conditions. Mixed sets matter because the real exam does not announce which topic is next.
Free online quizzes cannot replace handwritten free-response practice. Use them for multiple-choice fluency and concept checks, and pair them with official past free-response questions and scoring guidelines from AP Central. If you search for a practice exam PDF, prefer official College Board material so the format and scoring match the real exam.