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Advanced Placement (AP)

AP Calculus AB practice questions, by topic

Eggzams has 400 original AP Calculus AB questions for the AP exam, organised into 8 topics. Topics include Limits and Continuity, Differentiation: Definition and Fundamental Properties, Differentiation: Composite, Implicit, and Inverse Functions, Contextual Applications of Differentiation and Analytical Applications of Differentiation. Every question has an explanation after you answer, so a wrong answer becomes a mini-lesson.

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Sample AP Calculus AB questions

Here is the kind of question you will get, with the explanation that follows every answer. These are free in the app.

AP Calculus AB · Contextual Applications of Differentiation
If f(2)=5 and f'(2)=3, use local linearization to approximate f(2.1).
L(2.1) = f(2) + f'(2)(2.1-2) = 5 + 3(0.1) = 5.3.
AP Calculus AB · Integration and Accumulation of Change
If v(t) is the velocity of a particle, then ∫ₐᵇ v(t) dt represents:
Integrating velocity gives displacement (net change in position); total distance would require integrating |v(t)| instead.
AP Calculus AB · Applications of Integration
Find the average value of f(x) = 2x on [1,5].
Average = (1/4)∫₁⁵2x dx = (1/4)[x²]₁⁵ = (1/4)(25-1) = 6.

Topics covered: 8 topics, 400 questions

AP Calculus AB on Eggzams is split into the topics below, so you can drill exactly the part you find hardest instead of working through a textbook in order. Each topic has its own progress tracker.

  1. Limits and Continuity
  2. Differentiation: Definition and Fundamental Properties
  3. Differentiation: Composite, Implicit, and Inverse Functions
  4. Contextual Applications of Differentiation
  5. Analytical Applications of Differentiation
  6. Integration and Accumulation of Change
  7. Differential Equations
  8. Applications of Integration

How to practise AP Calculus AB with Eggzams

Pick one topic, answer a short run of questions, and read the explanation after every answer, right or wrong. Repeat the topics where your accuracy is lowest. Questions come in easy, medium and hard, so you can build up in each topic and see the difficulty rise as you improve.

Try 5 questions in every topic, free

Create a free account to start. One $9.99 payment unlocks everything, with no subscription, ever.

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Frequently asked

How many AP Calculus AB practice questions does Eggzams have?

400 original questions across 8 topics, each with an explanation.

Are these real AP Calculus AB past paper questions?

No. Every question is written from scratch and checked against the current syllabus. Eggzams never copies or reproduces past exam papers.

Is AP Calculus AB practice free?

The first 5 questions in every topic are free once you create a free account. A one-time payment of $9.99 unlocks everything in the app, with no subscription.

Is Eggzams affiliated with the College Board?

No. Eggzams is an independent study aid, not affiliated with, authorised by, or endorsed by the College Board.

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