The CLEP: Calculus examination was developed by the College Board as a way for individuals to demonstrate undergraduate-level knowledge and skills in this subject. Almost three thousand American colleges give credit to students who pass a CLEP exam; for this reason, many college-bound students take a CLEP exam in order to skip over introductory courses.

One half of the exam requires students to solve routine problems with the techniques of calculus, while the other half requires students to solve non-routine problems using the concepts of calculus. The content of the exam is broken down as follows: limits (5% of the exam); differential calculus (55%); and integral calculus (40%). The limits subsection covers the following topics: statements of properties; limits that involve infinity; and continuity. The differential calculus subsection covers derivatives and their applications. The integral calculus subsection covers the following topics: ant derivatives and the techniques of integration; the applications of ant derivatives; the definite integral; and applications of the definite integral. The Calculus exam consists of 45 multiple-choice questions and must be completed within 90 minutes.

After the exam is complete, an unofficial score report will be made available. This score report will include the total score on a scale of 20 to 80; the American Council on Education recommends that students get credit if they score 50 or above. The total score is the raw score (number of correct answers) adjusted according to the difficulty of the exam version. The College Board does not distinguish between unanswered questions and questions answered incorrectly, so test-takers are encouraged to respond to every question. Some of the questions on the exam are pre-test questions, which are used to develop future versions of the exam and do not contribute to the raw score. It is impossible for test-takers to determine which questions are pre-test questions. The CLEP exams are administered in both computer and paper formats at over a thousand locations throughout the world. To register for an exam, visit the College Board website.

## CLEP Calculus Practice Questions

## CLEP Calculus Answer Key

1. B. An integral is any arbitrary division of an overall continuous function.

2. D. The fourth partial sum of any infinite series is simply the total of the first four terms.

3. E. Calculate the exponent before moving on to the rest of the problem.

4. A. In order to be correct, a general solution to a differential equation must satisfy both the homogenous and non-homogenous equations.

5. C. In a natural logarithm, the base is the irrational number e = 2.71828…

6. C. An integral is any arbitrary division of an overall continuous function.

7. D. Rearrange the given equation to isolate y.

8. D. The limit in a function of calculus is a small subsection of the overall continuous function.

9. E. In a natural logarithm, the base is the irrational number e = 2.71828…

10. A. In order to be correct, a general solution to a differential equation must satisfy both the homogenous and non-homogenous equations.