AP^® Calculus

A collection of test-prep resources

Help students score on the AP^® Calculus exam with solutions from Texas Instruments. The TI in Focus program supports teachers in preparing students for the AP^® Calculus AB and BC test. Our library of files covers free-response questions (FRQ) from past exams through the lens of graphing technology.

Below you’ll find released AP^® Calculus questions from the last few years. Each section (or module) leads to a page with videos, downloads and learning objectives related to each free-response question.

Animated Gif with messaging that shows how to find all the AP Calculus questions from the last few years.

Area / Volume

Applications / Approximations of Definite Integrals

Differential Equations

Function / Graphical Analysis

Fundamental Theorem of Calculus (FTC)

Polar and Parametric (2D)

Position / Velocity / Acceleration

Series and Improper Integrals

Taylor Polynomial and Power Series

AB/BC 2019

2019 AB4/BC4

Rain barrel: A cylindrical barrel collects rainwater, with questions relating the rates of the water height and volume, and a separable differential equation to solve explicitly for the height as a function of time t.

Go to resource library

3.NF.3a
3.NF.3b
4.NF.1

4.3.C
4.3.G

AB 2018

2018 AB6

This problem involves a separable differential equation along with its slope field.

Go to resource library

4.NF.4a
5.NF.1

5.3.K
6.2.C

AB/BC 2017

2017 AB4/BC4

The famous potato problem includes a tangent line approximation and a separable differential equation.

Go to resource library

3.NF.3a
3.NF.3b
4.NF.1

4.3.C
4.3.G

Please revise your search criteria. Activities for the topic at the grade level you selected are not available.

Control your cookie preferences

You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Category

Description

Allow

Analytics and performance cookies

These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).

Advertising and marketing cookies

These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.

Functional cookies

These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly.

Social media cookies

These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.

Strictly necessary

These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).

Always On

AP® Calculus

A collection of test-prep resources

Area / Volume

Applications / Approximations of Definite Integrals

Differential Equations

Function / Graphical Analysis

Fundamental Theorem of Calculus (FTC)

Polar and Parametric (2D)

Position / Velocity / Acceleration

Series and Improper Integrals

Taylor Polynomial and Power Series

Differential Equations

2019 AB4/BC4

Differential Equations

2018 AB6

Differential Equations

2017 AB4/BC4

Additional Calculus Resources

Control your cookie preferences

AP^® Calculus