hold up, this guide was published in March 2024.

This guide organizes advice from past students who got 4s and 5s on their exams. We hope it gives you some new ideas and tools for your study sessions. But remember, everyone's different—what works for one student might not work for you. If you've got a study method that's doing the trick, stick with it. Think of this as extra help, not a must-do overhaul.

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📌 Overview

Students answer questions presented in analytical (equations/expressions), graphical, tabular, and verbal/contextual forms, and many questions ask students to connect information across these representations.
Each multiple-choice question has 4 answer choices, labeled A–D.
50% of Exam Score:
- 45 questions
- 105 min, or a little over 2 minutes per question
- Part A of this section includes 30 questions and no calculator for 60 minutes
  - 33% of exam score
  - 2 minutes per question
- Part B of this section includes 15 questions with a calculator for 45 minutes
  - 17% of exam score
  - 3 minutes per question

💭 General Advice

Tips on mindset, strategy, structure, time management, and any other high level things to know.

Don’t get bogged down by questions. If you know it, answer it, if you don’t, mark it to come back if you have time. Every question is worth the same amount of points, so answering all of the easier ones is better than spending too much time on hard ones and running out of time, even if you got those hard ones right!
There’s no guessing penalty, so if near the end of the time you still have empty questions, make sure to fill all of them out. You might be able to get a few lucky points!
Your subconscious is an incredible thing—let it work out questions for you! If you don’t know where to start on a question, or you can’t figure it out after a minute, just read it, annotate it, move on, and come back to it later. Odds are, your brain can work it out in the background while you do the rest of the test!
Keep your pencil moving! Sometimes, (especially with integrals) you may start solving a problem using the wrong method, and if the problem looks worse after around a minute you may need to restart with a different method.
When it comes to questions with multiple terms, utilize your time wisely. For example, if you are asked to find the derivative or integral of a polynomial, only calculate the first term or two and check your result with the answer choices. You may already have a match, which will save you time!
Make sure you can recognize when to use the AP Calculus integration techniques that are actually tested. For BC, this includes integration by parts, partial fractions, and long division/completing the square when appropriate; for both AB and BC, this includes substitution and properties of definite integrals. For instance, when the denominator can be split into linear factors, BC students may use partial fractions; when the degree of the numerator is greater than or equal to the degree of the denominator, divide first before integrating.
Get familiar with AP-style language. For example, “average rate of change” on an interval means use the difference quotient $\frac{f(b)-f(a)}{b-a}$ , while “average value” of a function on $[a,b]$ means use $\frac{1}{b-a}\int_a^b f(x)\,dx$ .

🫧 Before You Bubble

What should a student do in the first few minutes, before they start answering?

Underline (or note in the margins) any important words/numbers in the question — this way, you won’t forget any important piece of information.
Look for key phrases that show what the question is about. For example, “total change” implies that you’ll need to integrate.
If answer choices look similar, compare the specific mathematical features that differ—sign, coefficient, exponent, interval, units, or whether the quantity is increasing/decreasing. Use those features to test choices quickly rather than eliminating an “odd one out” by appearance alone.
If you like making a quick memory jot, prioritize AP Calculus formulas and ideas you personally forget, such as derivative rules, basic antiderivatives, inverse trig derivatives, slope field ideas, Euler’s Method (BC only), and volume formulas. Avoid spending time writing large lists of precalculus identities unless you know you specifically need them.

❓Choosing the Best Answer

Use mathematical checks to eliminate choices: estimate the sign, units, magnitude, interval, or behavior of the expression from the graph/table/formula. Eliminate answer choices that contradict those checks. Do not rely on patterns like “the odd one out” or “the only negative choice,” because the correct answer may be any of the four choices.
If you really can’t figure out how to integrate an integral, take the derivative of each of the answer choices until your answer matches the question’s function.
- Keep in mind that this will take more time than finding the integral, so leave this strategy for the end—only if you have enough time.
If you are stuck, use an appropriate quick check based on the type of problem: estimate from a graph or table, test the sign or size of a derivative/integral, evaluate an endpoint or simple value, or use your calculator on Part B when allowed. Only use methods like Euler’s Method (BC only), Taylor polynomials (BC only), or Riemann sums when the question specifically involves those ideas.

🧮 Using Your Graphing Calculator

On the AP Calculus exam, a graphing calculator is used only in Section I Part B of the multiple-choice section (the final 15 questions) and in Section II Part A of free response; it is not allowed in Section I Part A.
Know how to store values and use built-in calculus tools on your specific calculator model before test day.

TI-84 Plus family

Store functions in $Y_1, Y_2,$ etc.
Derivative: MATH → 8: nDeriv
Integral: MATH → 9: fnInt
Summation: MATH → 0: sum(
Intersections / minimums / maximums: 2nd → TRACE (CALC)
Change window size: WINDOW
Convert to fraction when appropriate: MATH → 1: ►Frac
Insert from previous entry / edit expressions as needed
Change graphing mode such as function / parametric / polar in MODE

TI-Nspire family

Use the Graphs or Calculator app menus for derivative, integral, intersections, minimums, and maximums.
Use Menu options inside the active app rather than TI-84 keystrokes.
Change document-wide calculation settings separately in Home → Settings → Document Settings.
If you use a TI-Nspire, practice those menus directly before the exam so you’re not translating from TI-84 instructions in real time.

ƒ Formulas to Memorize

Before test day, make sure you personally know the derivative, integral, series, and volume formulas that you most often forget. This page focuses on multiple-choice strategy; use your content review guide for the full formula list.

A short reminder list:

Common derivative rules: power, product, quotient, and chain rule
Basic antiderivatives and $u$ -substitution patterns
Inverse trig derivatives and logarithm/exponential derivatives
Volume formulas you actually mix up
BC only: series tests, common Maclaurin series, and Taylor polynomial/error ideas you personally need to review