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College Board AP® Calculus BCSection II: Free Response (Set A)

Friday 27 February 2026

Morning (Time: 1 hour 30 minutes)

Total marks

/ 54

Instructions

  • Try to complete this practice test paper in one sitting, under exam conditions. Use all the time available and check your answers to each question at the end before submitting.

  • Remember this is PRACTICE. Mistakes are fine and will help you improve in time for the real exam - just do your best.

Part A

Section II Part A has 2 free-response questions and lasts 30 minutes.

A graphing calculator is required for the questions on this part of the exam. You may use a handheld graphing calculator or the calculator available in this application. Make sure your calculator is in radian mode.

Part B

Section II Part B has 4 free-response questions and lasts 1 hour.

A calculator is not allowed for this part of the exam.

Part A and Part B

Use a pencil or a pen with black or dark blue ink.

You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results.

Show all of your work, even though a question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit.

Your work must be expressed in standard mathematical notation rather than calculator syntax.

Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If you use decimal approximations in calculations, your work will be scored on accuracy. Unless otherwise specified, your final answers should be accurate to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

DON'T FORGET! Submit your paper at the end to receive marks and review your answers - using AI, mark schemes or solutions. If you submit the paper without completing it in full, you will get 0 marks for the questions you did not answer.

NOTE: You might want to use some scrap paper to plan your answers to longer questions, so get that prepared now.