AP Calculus AB Worksheets
One free worksheet for each of the eight units of AP Calculus AB, following the College Board Course and Exam Description unit by unit and topic by topic.
Limits
Derivatives
Applications of derivatives
- Rates of Change and Related Rates7 concepts · 7 pages
- Analyzing Functions with Derivatives12 concepts · 7 pages
Integration
What AP Calculus AB covers
The eight sets follow the CED's own sequence, and each one carries a block for every topic in its unit — sixteen for limits and continuity, six for the chain rule and implicit differentiation, twelve for analysing functions with derivatives. Nothing is merged away, so a topic you are shaky on has its own questions rather than being folded into a neighbour's.
Two thirds of the AP examination is written without a calculator, so almost every question here is built to resolve by hand; the few that genuinely need one say so, and ask for the setup — the integral, the equation, the expression being maximised — rather than the number a calculator returns. The harder problems in each paid set are free-response in character: they turn on a choice of strategy, a justification that names its theorem and checks the hypotheses hold, or a step nobody signposted.
This is AB, not BC. Series, Taylor polynomials, parametric and polar functions, integration by parts, improper integrals, arc length, logistic growth and Euler's method are all outside the course and appear nowhere in these sets. The questions are original: the College Board's framework fixed which topics and notation are in scope and how a question should read, but no example, context or dataset is reused from it.
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