AP Calculus BC Practice Test
- How limits help us to handle change at an instant (20)
- Definition and properties of limits in various representations (20)
- Definitions of continuity of a function at a point and over a domain (20)
- Asymptotes and limits at infinity (20)
- Reasoning using the Squeeze theorem and the Intermediate Value Theorem (20)
- Defining the derivative of a function at a point and as a function (20)
- Connecting differentiability and continuity (20)
- Determining derivatives for elementary functions (20)
- Applying differentiation rules (20)
- The chain rule for differentiating composite functions (20)
- Implicit differentiation (20)
- Differentiation of general and particular inverse functions (20)
- Determining higher-order derivatives of functions (20)
- Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change (20)
- Applying understandings of differentiation to problems involving motion (20)
- Generalizing understandings of motion problems to other situations involving rates of change (20)
- Solving related rates problems (20)
- Local linearity and approximation (20)
- L’Hospital’s rule (20)
- Mean Value Theorem and Extreme Value Theorem (20)
- Derivatives and properties of functions (20)
- How to use the first derivative test; second derivative test and candidates test (20)
- Sketching graphs of functions and their derivatives (20)
- How to solve optimization problems (20)
- Behaviors of Implicit relations (20)
- Using definite integrals to determine accumulated change over an interval (0)
- Approximating integrals with Riemann Sums (10)
- Accumulation functions; the Fundamental Theorem of Calculus and definite integrals (0)
- Antiderivatives and indefinite integrals (0)
- Properties of integrals and integration techniques; extended (20)
- Determining improper integrals (10)
- Interpreting verbal descriptions of change as separable differential equations (20)
- Sketching slope fields and families of solution curves (20)
- Using Euler’s method to approximate values on a particular solution curve (0)
- Solving separable differential equations to find general and particular solutions (20)
- Deriving and applying exponential and logistic models (10)
- Determining the average value of a function using definite integrals (20)
- Modeling particle motion (20)
- Solving accumulation problems (20)
- Finding the area between curves (20)
- Determining volume with cross-sections; the disc method and the washer method (20)
- Determining the length of a planar curve using a definite integral (10)
- Finding derivatives of parametric functions and vector-valued functions (10)
- Calculating the accumulation of change in length over an interval using a definite integral (10)
- Determining the position of a particle moving in a plane (10)
- Calculating velocity; speed and acceleration of a particle moving along a curve (10)
- Finding derivatives of functions written in polar coordinates (10)
- Finding the area of regions bounded by polar curves (10)
- Applying limits to understand convergence of infinite series (10)
- Types of series: Geometric; harmonic and p-series (10)
- A test for divergence and several tests for convergence (0)
- Approximating sums of convergent infinite series and associated error bounds (10)
- Determining the radius and interval of convergence for a series (10)
- Representing a function as a Taylor series or a Maclaurin series on an appropriate interval (10)
Exam Format & Components
Section 1 : Multiple Choice
45 Questions | 1hr 45mins | 50% of Score
Detailed Breakdown:
- Part A: No graphing calculator permitted. This section includes 30 questions (33.3% of the score), focusing on your ability to manually solve problems involving algebraic, exponential, logarithmic, trigonometric, and other types of functions.
- Part B: Graphing calculator required. Comprises 15 questions (16.7% of the score), where you’re expected to solve more complex problems that may involve higher-level calculations and interpretations using graphical, tabular, and verbal forms of data.
Section 2 : Free Response
6 Questions | 1hr 30mins | 50% of Score
Detailed Breakdown:
- Part A: Graphing calculator required. Consists of 2 problems (16.7% of the score) that typically require computational solutions with graphical representations, often integrating real-world applications to assess both procedural and conceptual understanding.
- Part B: No graphing calculator permitted. Includes 4 problems (33.3% of the score), focusing on a variety of functions and function representations. This part emphasizes a balance between procedural tasks and conceptual questions, including at least two scenarios that involve real-world contexts to demonstrate practical applications of calculus concepts.
Achieve a 5 & Boost your GPA
600+ Exam-Like Questions
Conquer the AP Calculus BC exam with our precisely tailored questions. Designed to emulate the exam's advanced mathematical challenges, our practice sets are crucial for mastering quizzes, unit tests, and the AP exam itself.
Targeted Content for Mastery
Dive into detailed explanations that not only solve but also teach the theory behind the calculus problems. Our resources provide in-depth understanding of advanced calculus topics, such as series, differential equations, and polynomial approximations, correcting misconceptions and ensuring you can tackle the most challenging questions with confidence.
Personalized AP Calculus BC Prep
Enhance your study sessions with our personalized tools. Engage with topic-specific tests that cover higher-level calculus topics, meticulously review incorrect answers to grasp complex concepts, and bookmark pivotal questions for targeted revision. Our platform adapts to your learning style, optimizing your preparation for this demanding course.
Comprehensive Content Coverage
Excel in AP Calculus BC with our extensive collection of study materials. Access detailed guides, precise examples, and a broad range of practice questions that comprehensively cover the AP Calculus BC curriculum. Each resource is designed to deepen your mathematical understanding and significantly enhance your exam performance.
Unlock Unlimited Practice Tests to
AP® Calculus BC Questions
Frequently Asked Questions
No, it will not auto renew. Access will expire according to the plan you choose, and we will not bill you again, unless you opt to make the payment again. This gives you full control over your subscription and costs.
Yes, you can practice on any device. Our platform supports desktops, tablets, and smartphones, ensuring you can access our comprehensive study materials from anywhere, at any time. This flexibility allows you to study effectively according to your own schedule and preferences.
Unlimited access allows you to practice extensively with our database of questions, which mirror those found in actual exams. Regular practice with immediate feedback helps to reinforce learning, clarify doubts instantly, and improve time management skills during exams, significantly boosting your chances of a high score.
Real Success Stories
Why Students Trust Examples.com