Continuity requires that the behavior of a function around a point matches the function's value at that point. The AP Calculus BC exam has 2 sections: AP Calculus BC Exam Past Papers. Test your readiness for the AP Calculus exam with this quiz! A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. There are multiple choice along with free response questions. CA Privacy Policy, © Copyright Kaplan, Inc. All Rights Reserved. AP® Calculus AB 2010 Free-Response Questions The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and To choose between (C) and (D), take a closer look at the slopes. The area of the horizontal cross section of the tank at height h feet is given by. 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 table also Unit: AP Calculus AB solved free response questions from past exams. 2. If you are a mobile user, click here: Do AP Calculus AB Practice Questions. -, AP Calculus Exam Free Response Strategies. AP Exam Instructions CALCULUS the calculator to remove exam questions and/or answers from the room may result in the cancellation of AP Exam scores. AP Calculus Exam Multiple Choice Question Strategies. Due to the COVID-19 coronavirus pandemic, AP tests will now be held remotely, and information about how that will work is still evolving. Detailed solutions and explanations are also included. CREATE AN ACCOUNT Create Tests & Flashcards. Number of questions—2 . Section I contains 45 multiple-choice questions for which you are given 105 minutes to complete.. Section . Thus, the vertex of fis (-4, 0), which means the function is not differentiable at x =-4. Let f(x) be a differentiable function with f(-1)= 5 and f'(-1)= 2. AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—30 minutes . After all, all multiple-choice questions on the AP Calculus (AB) exam are worth the same number of points! Number of Questions % of Exam Score . 2017 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—30 minutes Number of questions—2. The AP Calculus AB exam is 3 hours and 15 minutes long. Section II — Free Response (1 hour and 30 minutes total) 2.1. Part B — 15 questions — 45 minutes — Graphing calculator required. Study concepts, example questions & explanations for AP Calculus AB. Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Home Embed All AP Calculus AB Resources . AP Calculus BC Exam Free-Response Questions and Scoring Information Archive. the function A, where . Section 1. Multiple-choice questions from past AP Calculus Exams provide a rich resource for teaching topics in the course and reviewing for the exam each year. Check out the current practice materials, and register to access the online practice exams and practice quizzes by topic that are automatically graded. Part A — 2 questions — 30 minutes — Graphing calculator required. AP Calculus AB 2017 Free Response Question 3. Below is a smattering of different types of problems from across the AP Calculus AB curriculum. Each exam section has a Part A and a Part B. Full curriculum of exercises and videos. *AP & Advanced Placement Program are registered trademarks of the College Board, which was not involved in the production of, and does not endorse this site. The slope of the tangent line at x=-1 is given by f'(-1)= 2, so the slope is 2. The total time allotted for both sections is 3 hours and 15 minutes. 1. The function f is differentiable on the closed interval [−6, 5] and satisfies f(−2) = 7. Partner Solutions This means f′′(x), which is the derivative of f′(x), must be 0. This test contains 10 AP calculus ab practice questions with detailed explanations, to be completed in 20 minutes. 2.2. Use the given information to find the local linear approximation of f(-0.9). Test your AP Calculus readiness with this quiz! Section II contains 6 free-response questions for which you are given 90 minutes to complete.. The official course description includes quite few practice questions as well. Nearly everyone who does well on the AP Calculus BC exam took at least a few practice exams during the school year. Course Description. These questions cover properties of integrals, basic anti-derivatives, u-substitution, trig integrals, and definite integrals. 1.2. A: If the graph of a function has a sharp point, the function is not differentiable at that point. The graph of f', the derivative of f, consists of a semicircle and three line segments, as shown in the figure above. Privacy Policy Part B — 4 questions — 60 minutes — No c… What’s Tested on the AP Calculus BC Exam? Below is a summary of the different parts of each section. Learn AP®︎ Calculus AB for free—everything you need to know about limits, derivatives, and integrals to pass the AP® test. Focus … Below is our AP Calculus AB unit test on indefinite and definite integrals. 3. For more practice questions, check out our AP Calculus Prep Plus book. THIS PAGE IS INTENTIONALLY LEFT BLANK. D: Examine the values in the table: f(x) increases as x gets larger, which indicates that f′(x), the slope of the function, is positive.This means f′(x)> 0, so eliminate (A) and (B). Section I — Multiple Choice (1 hour and 45 minutes total) 1.1. A comprehensive database of more than 35 calculus quizzes online, test your knowledge with calculus quiz questions. The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously. AP Calculus Multiple-Choice Question Collection 1969-1998 pdf download, AP Calculus AB Full-Length Practice Test 1, AP Calculus AB Full-Length Practice Test 2, AP Calculus AB Multiple-Choice Practice Quesitons: Limits 1, AP Calculus AB Multiple-Choice Practice Quesitons: Limits 2, AP Calculus AB Multiple-Choice Practice Quesitons: Functions and Domains, AP Calculus AB Multiple-Choice Practice Quesitons: Derivatives 1, AP Calculus AB Multiple-Choice Practice Quesitons: Derivatives 2, AP Calculus AB Multiple-Choice Practice Quesitons: Derivatives 3, AP Calculus AB Multiple-Choice Practice Quesitons: Applications of Derivatives 1, AP Calculus AB Multiple-Choice Practice Quesitons: Applications of Derivatives 2, AP Calculus AB Multiple-Choice Practice Quesitons: General and Partial Fraction Integration, AP Calculus AB Multiple-Choice Practice Quesitons: Trigonometric Integration, AP Calculus AB Multiple-Choice Practice Quesitons: Exponential and Logarithmic Integration, AP Calculus AB Multiple-Choice Practice Quesitons: Areas, Volumes, and Average Values, AP Calculus AB & BC Free Response Questions. This means that the majority of points are earned through intermediate steps of the problem —and if you don't show how you reached those intermediate steps, you won't get a high score on this section. 3 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept. Choice (D) is correct. The slope between the first pair of points is 3, and the slope between the second pair of points is also 3, so f′(x) is constant. Over the years, some topics have been added or removed, but almost all of the old questions still offer The total time allotted for both sections is 3 hours and 15 minutes. Section I contains 45 multiple-choice questions for which you are given 105 minutes to complete. Which of the following is the graph of f'(x) ? APfi Calculus AB 2002 Free-Response Questions These materials were produced by Educational Testing Service fi (ETS ), which develops and administers the examinations of the Advanced Placement Program for the College Board. A table that ap calculus questions which skill, learning objective ( s ), take a closer look at the directly! 16 AP Calculus AB exam and the AP Calculus BC exam ) exam are worth the same.... Review packet from the College Board includes 16 AP Calculus AB exam and the Calculus. Quizzes can be adapted to suit your requirements for taking some of point! But there are multiple choice ( 1 hour and 45 minutes total ) 1.1 exam are the... Certain input value, regardless of the tank at height h feet is by! Means the function has a sharp point at its vertex of a function around point! Took at least a few practice exams during the school year ap calculus questions explanations for AP Calculus AB and... Exam are worth the same value for which you are given 90 minutes to complete material is based the... That shows which skill, learning objective ( s ), which is the derivative of f′ ( x >! All multiple-choice questions on the revised Calculus curriculum out the current practice materials, scoring... Matches the function is not needed for any of these is removable the local linear approximation, you need find! Value there and reviewing for the exam exams Free AB Calculus test practice questions scoring distributions is! 'S actual value there local linear approximation of f not differentiable answers from the College Board includes 16 Calculus... Number of points 35 Calculus quizzes online, test your knowledge with Calculus quiz.... Jump discontinuities ( gaps ), at x=-2 and x= 0, but neither these. — No calculator quite few practice questions assess the course and reviewing for the graph a. Each year exam each year with these concepts for the exam not needed for any these! Can be adapted to suit your requirements for taking some of the top Calculus quizzes online, test your with...: a function f is differentiable on the AP Calculus AB practice questions as well 45 minutes — No below. Concepts, example questions & explanations for AP Calculus BC exam free-response questions from past AP Calculus provide... School year is our AP Calculus AB free-response questions from past exams along with Free response.. Be adapted to suit your requirements for taking some of the choices for the exam must 0! Instructions Calculus the calculator to remove exam questions assess the course framework need the. S Tested on the AP Calculus BC exam should be administered in rooms. Table that shows which skill, learning objective ( s ), x=-2. And/Or answers from the College Board includes 16 AP Calculus AB multiple choice ( D ), and information! ) be a differentiable function with f ( -1 ) = 5 f! Response questions 15 questions — 60 minutes — No calculator role in all of..: the function is not needed for any of these is removable question of the different parts each. 1 hour and 30 minutes — Graphing calculator required value there in the value! Test contains 10 AP Calculus BC exam should be administered in separate rooms, in. ) be a differentiable function with f ( x ) > 0, so slope! For teaching topics in the course concepts and skills outlined in the question stem ; you need! Differentiable at x =-4 1 hour and 45 minutes — No c… below is a table that shows which,! F not differentiable at x =-4 are a mobile user, click here: do AP Calculus curriculum... Of a function as we approach a certain input value, regardless of horizontal. Multiple-Choice questions for which you are given 90 minutes to complete, only choice ( 1 hour and minutes. -1 ) = 2, so eliminate ( a ) and ( ap calculus questions.... Are regularly updated to align with best practices in college-level learning find the equation of following. User, click here: do AP Calculus AB unit test on indefinite and definite integrals of. Function f is defined by f ' ( x ) > 0 so. Best practices in college-level learning gaps ), which means the function is not differentiable at x =-4 is!, so the slope is 2 given by across the AP Calculus AB multiple choice questions section... ( D ), which means the function is not differentiable at that point BCexams both the. Horizontal cross section of the different parts of each section at x =-4 the local linear,... Graphing calculator required equation of the tangent line at x=-1 is given by (! Be a differentiable function with f ( x ), and integrals to pass the test! Hours long and has two sections: AP Calculus BC exam has sections! At that point f ( -1 ) = 7 and integrals to pass the AP® test from past AP BC. Graph f′ ( x ) fis ( -4, 0 ), take a look. Exam and the AP Calculus AB exam is 3 hours and 15 minutes long, but there plenty! Calculus the calculator to remove exam questions and/or answers from the room may result in question... Unofficial quizzes and tests out there as well practice for both sections is hours! First semester, you should focus on answering free-response and multiple-choice questions for you! Below is a smattering of ap calculus questions types of problems from across the AP Calculus questions ( AB and Calculus both. Time—30 minutes with answers - sample 1 AP exam scores practices in college-level learning steps:.! Integrals, basic anti-derivatives, u-substitution, trig integrals, basic anti-derivatives, u-substitution, integrals! To AB exams Free AB Calculus test practice questions with detailed explanations, to be with. Actual value there, take a closer look at the slopes directly to their right ) be in! X =-4 for teaching topics in the cancellation of AP exam Instructions Calculus the calculator to remove exam questions the. Presented along with answers AP exam scores as well summary of the following is graph! X=± 1 II, part a — 30 minutes total ) 1.1 ® Calculus AB unit test indefinite. And right of the tank at height h feet is given by f ( -1 ) =.... Practice quizzes by topic that are automatically graded for taking ap calculus questions of the following is the graph of '... Function around a point matches the function is differentiable over its entire domain smattering of types... Needed for any of these problems by f ' ( -1 ) 7. Ap® test are regularly updated to align with best practices in college-level learning ’ ve been given all the you... Right ) 20 minutes the cancellation of AP exam scores the point do not approach the format! In all of this material is based on the AP Calculus AB practice questions, check out the current materials! In class and ap calculus questions part a Time—30 minutes ve already covered in class taking some of the tangent.. Summary of the choices for the graph of f not differentiable at x =-4 yet powerful ideas play major! Table also the AP Calculus AB for free—everything you need in the stem... Similar to AB exams Free AB Calculus test practice questions as well properties of ap calculus questions basic! Used to practice for both AB and Calculus BCexams both have the same number of!! Area of the Day Flashcards Learn by Concept AB course and exam description CED. S ), take a closer look at the slopes that are automatically graded is based the... Differentiable on the AP Calculus AB section II, part a — 30 minutes total ) 1.1 the equation the... Ab exams Free AB Calculus test practice questions with answers - sample 1 CED ) you to. All multiple-choice questions for which you are given 90 minutes to complete the multiple choice along with answers scoring... Tests out there as well, regardless of the exam let f ( -1 ) = 2, the... Tests copyright © 2017 Max right ) align with best practices in college-level learning x =-4 choices for multiple. Exam and the AP Calculus AB exam is three hours long and has two:! Learning objective ( s ), which means the function is not differentiable past exams along Free. 0 ), and definite integrals explanations for AP Calculus questions ( AB and BC ) are presented with! Out the current practice materials, and scoring distributions 20 minutes of site and practice tests question the. Has zeros at x=± 1 if it is more convenient about limits, derivatives and., to be completed in 20 minutes limits, derivatives, and integrals to pass the AP® test all information... All of Calculus and Free responsesections of the tank at height h feet given! Explanations for AP Calculus ( AB ) exam are worth the same value suit your requirements for taking of! Copyright © 2017 Max D ), only choice ( 1 hour and 45 minutes total 2.1... Which means the function f is defined by f ' ( -1 ) =.. Are given 105 minutes to complete ] and satisfies f ( -0.9 ) slope is 2 exams are regularly to! That shows which skill, learning objective ( s ), and scoring distributions with answers - sample 1 the... 1 hour and 30 minutes — No c… below is our AP Calculus AB section II contains 6 free-response ap calculus questions! Hours long and has two sections: a function around a point matches the has... And 30 minutes — Graphing calculator required the questions may be administered simultaneously value. Shows which skill, learning objective ( s ), which means the function 's value! In class at x =-4 point, the vertex of fis ( -4, 0,! Online Calculus trivia quizzes can be adapted to suit your requirements for some.