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  1. The AP Calculus AB Exam has consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. Section I: Multiple Choice. 45 Questions | 1 Hour 45 minutes | 50% of Exam Score. Part A: 30 questions; 60 minutes (calculator not permitted).

  2. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info.collegeboard.org. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Calculus AB exams ...

  3. AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of ...

  4. The AP Calculus AB Exam will test your understanding of the mathematical concepts covered in the course units, as well as your ability to determine the proper formulas and procedures to use to solve problems and communicate your work with the correct notations. A graphing calculator is permitted for parts of the exam.

    • What’s Covered
    • What Does The AP Calculus AB Exam Cover?
    • How Long Is The AP Calculus AB Exam? What Is The format?
    • Can I Use A Calculator?
    • Sample AP Calculus AB Exam Questions
    • AP Calculus AB Exam Score Distribution, Average Score, and Passing Rate
    • Tips For Preparing For The Exam
    • How Will Your AP Scores Affect Your College Chances?

    The purpose of the AP Calculus AB exam is to test your knowledge of specific “big concepts” that you have learned either through taking the AP Calculus AB course or through self-study. The “big concepts” of AB Calculus, as defined by College Board, are: 1. Limits 2. Derivatives 3. Integrals and the Fundamental Theorem of Calculus With regard to lim...

    The AP Calculus AB exam is one of the longest AP exams, clocking in at three hours and 15 minutes. It has two sections. The first section contains 45 multiple choice questions, spans one hour and 45 minutes, and accounts for 50% of your total score. The second section consists of six free response questions, spans one hour and 30 minutes, and accou...

    While taking the AP Calculus AB exam, you may use a scientific calculator on Part B of the multiple choice section and on Part A of the free response section. Your calculator should be able to plot the graph of a function within an arbitrary viewing window, find the zeros of functions, numerically calculate the derivative of a function, and numeric...

    Multiple Choice: Section I, Part A

    Note: A calculator may not be used on questions on this part of the exam. 1. The graphs of the functions f and g are shown above. The value of is (A) 1 (B) 2 (C) 3 (D) nonexistent 2. (A) 6 (B) 2 (C) 1 (D) 0

    Multiple Choice: Section I, Part B

    Note: A graphing calculator is required for some questions on this part of the exam. 1. The derivative of the function f is given by At what values of xdoes fhave a relative minimum on the interval 0 < x< 3? (A) 1.094 and 2.608 (B) 1.798 (C) 2.372 (D) 2.493 2. The second derivative of a function gis given by For -5 < x< 5, on what open intervals is the graph of gconcave up? (A) -5 < x< -1.016 only (B) -1.016 < x< 5 only (C) 0.463 < x < 2.100 only (D) -5 < x< 0.463 and 2.100 < x< 5

    Free Response: Section II, Part A

    Note: A graphing calculator is required for problems on this part of the exam. 1. Let Rbe the region in the first quadrant bounded by the graph of g, and let Sbe the region in the first quadrant between the graphs of fand g, as shown in the figure above. The region in the first quadrant bounded by the graph of fand the coordinate axes has area 12.142. The function gis given by and the function fis not explicitly given. The graphs of fand gintersect at the point (4,0). (A) Find the area of S....

    While many exam distributions fall along a bell curve, with the majority of students receiving a score of 3, the AP Calculus AB exam shows a flatter distribution. Simply put, many students do well and many students do poorly. In 2022: 1. 20.4% of test-takers received a 5 2. 16.1% of test-takers received a 4 3. 19.1% of test-takers received a 3 4. 2...

    Step 1: Assess Your Skills

    Take a practice test to assess your initial knowledge of the material. It’s important to know where you are, so that you know how far you need to go. Keep in mind that Calculus is an age-old study, so you can use practice tests from before you were even born and you’ll be assessing/learning just the same! There are a couple of options for taking practice tests: 1. Print a practice exam and self-proctor 2. Use a diagnostic test offered through a commercial study guide 3. Talk to your teacher a...

    Step 2: Study the Material

    After taking your assessment, you should be able to identify areas that need improvement. These areas could be related to content—not knowing which technique should be used to approximate which type of integral or not understanding the relationship between concavity and limits on a graph. Alternatively, the areas you struggle with might have more to do with form—like struggling to read graphs or conceptualize tables. Identify your areas for improvement, write them down, and focus on one area...

    Step 3: Practice Multiple Choice Questions

    Once you feel like you’ve mastered the concepts you initially struggled with, put them into action by answering some multiple choice practice questions. The College Board provides a set of sample questions with scoring explanations. Additionally, the College Board Course Descriptionincludes many practice multiple choice questions along with explanations of their answers. As you go through these, try to keep track of which areas are still tripping you up, and go over those concepts again until...

    WhileAP scores themselves don’t play a major role in the college admissions process, having AP classes on your transcript can be a crucial part of your application, especially at highly selective institutions. College admissions officers want to see that you enjoy challenging yourself intellectually, and that you’re capable of handling college-leve...

  5. Unit 5: Analytical Applications of Differentiation. After exploring relationships among the graphs of a function and its derivatives, you'll learn to apply calculus to solve optimization problems. Topics may include: Mean Value Theorem and Extreme Value Theorem. Derivatives and properties of functions.

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  7. AP Calculus AB Exam Structure. AP CALCULUS AB EXAM: 3 HOURS 15 MINUTES. sment OverviewThe AP Calculus AB Exam questions measure students’ understanding of the concepts of calculus, their ability to apply these concepts, and their ability to make connections among graphical, numerical, analytical, and verbal representations.

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