CopyCat Calculus Multiple-Choice - 3/15/25

It is easy to see how AP^® Calculus free-response questions have changed over the years. They are faithfully posted by the College Board about a month after the AP exam is given and teachers and students are free to download them.

But multiple-choice questions are a different story. Through the 1980s through the 2000's, past exams were made available on the College Board website at non-reguar intervals. Now it seems that they have stopped that practice.

Still it is unlikely that the types of questions have changed that much. Being able to differentiate and integrate as well as to analyze the real-life meaning of derivatives and integrals is still important and there is only so much novelty that can be generated in basic questions.  Still, teachers crave multiple-choice questions for their reviews and practice exams, because creating them along with 3 incorrect but logical answers and one correct one takes time.  So teachers tend to guard these exams clowsly for fear they will get out.

With that in mind, I created a new database of multiple-choice questions.  These questions were adapted from an existing database of questions I had on the MasterMathMentor.com website, Calculus Cache.   Hence the title, CopyCat Calculus. 

The result is a database of 4 AP Multiple-Choice Practice exams in the same format as the actual exam. Each exam (W, X, Y, and Z) are PDF's with 30 non-calculator based questions and 15 calculator-based questions. 

Any like just about everything on the MasterMathMentor.com website, the student versions are completely free and can be downloaded below.

Teachers can use these exams verbatim for practice AP exams. But the real advantage to using these is that every corresponsing page of each exam covers the same content. Using the chart on the left, page 1 of exam W, X, Y, and Z covers basic derivatives, local linear approximation, and basic integration. (these are different, not the same problem with different numbers). This allows teachers to mix and match pages.  So an exam might have page 1 of exam X, page 2 of exam Z, page 3 of exam W, ... This allows 4¹⁵ or 1,073,741,824 different exams to be created, all of which test the exact same content.  So teachers can give a practice exam and allow students to keep them and not worry that the exam will "get out" to future students.

This allows teachers to create practice exams for their students ensuring that most of the skills that are tested in the AP exam are covered.  You can now create different exams every year. If you want to mimic the testing environment of the actual exam, CopyCat Calculus allows you to give problems that you know students have never seen before.

With CopyCat Calculus, you are sure that your practice exams will be very similar to the actual exam students taken in May and your students will be better prepared.

Also available is a Free-Response version of CopyCat Calculus.  Click on the link.

The solution version for CopyCat Calculus Multiple-choice gives you all the problems worked out, not just the answers. Also included is a link to a Google-Sheets database that will allow you to quickly grade your practice exams, based on the what combination of pages you use. With the purchase of the Free-Response version of CopyCat Calculus, you can predict how your students will fare on the AP exam.

CopyCat Calculus Multiple-Choice

Student Version Free Downloads

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 CopyCat Calculus Multiple-Choice

Solution Versions

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 CopyCat Calculus Free Response

Solution Versions

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 CopyCat Calculus Free-Response and Multiple-Choice Solution Versions

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