AP®︎ Calculus AB: Topic 4.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.5 of AP Calculus AB – Solving Related Rates Problems.


Questions List

Topic 4.5

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10

Question 1 Easy

A stone dropped in a pond creates a circular ripple whose radius increases at 3 centimeters per second.

At what rate is the area enclosed by the ripple increasing when its radius is 10 centimeters?

A60π60\pi square centimeters per second
B20π20\pi square centimeters per second
C100π100\pi square centimeters per second
D6π6\pi square centimeters per second

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 4.5: Solving Related Rates Problems

Learning Objective: CHA-3.E

Interpret related rates in applied contexts.

Essential Knowledge: CHA-3.E.1

The derivative can be used to solve related rates problems; that is, finding a rate at which one quantity is changing by relating it to other quantities whose rates of change are known.