Full-length practice exam, form 1, modeled on the May 2027 AP Calculus BC exam. 42 multiple-choice questions across all 10 units (Part A no calculator, Part B graphing calculator), including table, graph, power-series, storage-tank and plane-motion sets, plus 6 free-response questions: rates in and out (museum) and parametric motion with a calculator; area, volume and arc length, a function defined by an integral, a logistic differential equation and a Taylor series without one.
Section I — Multiple Choice
42 questions · 100 minutes
42 multiple-choice questions across all 10 units. Part A (Q1–Q29): NO calculator (62 min). Part B (Q30–Q42): graphing calculator allowed/required (38 min). Equal weight per question.
Section II — Free Response
6 items · 90 minutes
6 free-response questions. Part A (Q1, Q2): graphing calculator REQUIRED (~30 min). Part B (Q3–Q6): NO calculator (~60 min). 9 points each. Self-graded rubric checklist after each part.
Total time: 3h 10m. Each section and part has its own timer and is completed back-to-back. Free-response sections use a self-grading rubric checklist after you write your response.
Exam tools: a question navigator and review screen, flags, answer strike-through, a highlighter for stimuli, and a Desmos calculator on the calculator parts. Your progress saves on this device, so you can refresh or come back later; the clock keeps running while you are away, as on test day.
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This full-length practice exam mirrors the real test’s sections, timing, and question mix so you can rehearse pacing and stamina before exam day. Every question is scored instantly with an explanation, and your results feed into your score prediction. For the most realistic read on where you stand, take it in one timed sitting.
AP Calculus BC includes everything in Calculus AB and then extends it with a substantial body of additional material, making it equivalent to roughly two semesters of college calculus. Beyond AB's limits, derivatives, and integrals, BC adds advanced integration techniques such as integration by parts and partial fractions, improper integrals, logistic and other differential equations, parametric and polar functions, vector-valued functions, and—most distinctively—infinite sequences and series. The series unit is what truly separates BC from AB: students must master convergence tests (nth-term, integral, comparison, ratio, alternating series), Taylor and Maclaurin series, power series and intervals of convergence, and error bounds via the Lagrange and alternating series remainder. Integration and accumulation of change and infinite sequences and series are the two most heavily weighted units, together accounting for roughly a third of the exam. Students who already understand AB material well often find that their BC outcome hinges almost entirely on how confidently they handle series and parametric/polar topics, which demand pattern recognition and careful bookkeeping rather than the geometric intuition of earlier units. Effective preparation means treating series as its own discipline—drilling which convergence test fits which series and practicing Taylor expansions until they are automatic—while also keeping AB fundamentals sharp, since AB-level questions still make up much of the exam. Because BC reports an AB subscore, even students who struggle with the BC-only content can demonstrate mastery of core calculus. Timed practice on released free-response and disciplined justification writing remain essential.
Two equally weighted sections totaling 3 hours 15 minutes: Section I is 45 multiple-choice questions in 1 hour 45 minutes (30 no-calculator, 15 calculator), and Section II is 6 free-response questions in 1 hour 30 minutes (2 calculator, 4 no-calculator). Each section is 50% of the score, and the exam also reports an AB subscore.
Weighted multiple-choice and free-response points form a composite converted to a 1-5 AP score (3 is passing); a separate AB subscore (1-5) is also reported.