AP Calculus AB FRQ 2025 Questions And Answers

AP Calculus AB is a college-level calculus course designed to introduce students to the concepts and techniques of differential and integral calculus. It covers topics typically found in a first-semester college calculus course.

Questions And Worked Solutions For AP Calculus AB FRQ 2025

Click on the following image to get the complete paper of AP Calculus AB 2025 Free Response Questions. Scroll down the page for step-by-step solutions.

 
AP Calculus AB 2025 Free Response Questions - Complete Paper (pdf)

• AP Calculus AB 2025 Free Response Question 1

1. An invasive species of plant appears in a fruit grove at time t = 0 and begins to spread. The function C defined by C(t) = 7.6arctan 0 2t models the number of acres in the fruit grove affected by the species t weeks after the species appears. …

• AP Calculus AB 2025 Free Response Question 2

2. The shaded region R is bounded by the graphs of the functions f and g, where f(x) = x² - 2x and g(x) = x + sin(πx) …

• AP Calculus AB 2025 Free Response Question 3

3. A student starts reading a book at time t = 0 minutes and continues reading for the next 10 minutes. The rate at which the student reads is modeled by the differentiable function R, where R(t) is measured in words per minute.

• AP Calculus AB 2025 Free Response Question 4

4. The continuous function f is defined on the closed interval -6 ≤ x ≤ 12. The graph of f,consisting of two semicircles and one line segment, is shown in the figure.

• AP Calculus AB 2025 Free Response Question 5

5. Two particles, H and J, are moving along the x-axis. For 0 ≤ t ≤ 5, the position of particle H at time t is given by

• AP Calculus AB 2022 Free Response Question 6

6. Consider the curve G defined by the equation …

Key Topics in AP Calculus AB:
The course content is organized into eight commonly taught units, which have been arranged in the following suggested, logical sequence:
■ Unit 1: Limits and Continuity
■ Unit 2: Differentiation: Definition and Fundamental Properties
■ Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
■ Unit 4: Contextual Applications of Differentiation
■ Unit 5: Analytical Applications of Differentiation
■ Unit 6: Integration and Accumulation of Change
■ Unit 7: Differential Equations
■ Unit 8: Applications of Integration

AP Calculus AB Exam Structure
The AP Calculus AB exam is divided into two sections: Multiple Choice and Free Response.

Section I: Multiple Choice
45 Questions | 1 Hour 45 minutes | 50% of Exam Score
Part A: 30 questions; 60 minutes (calculator not permitted).
Part B: 15 questions; 45 minutes (graphing calculator required).
Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions.
Questions include analytical, graphical, tabular, and verbal types of representations.

Section II: Free Response
6 Questions | 1 Hour 30 Minutes | 50% of Exam Score
Part A: 2 questions; 30 minutes (graphing calculator required).
Part B: 4 questions; 60 minutes (calculator not permitted).
Questions include various types of functions and function representations and a roughly equal mix of procedural and conceptual tasks.
Questions include at least 2 questions that incorporate a real-world context or scenario into the question.

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