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AP Calculus practice exam generator (AB & BC)

ExamTeX generates printable AP Calculus mock exams in the College Board's exact format — Section I with 45 multiple-choice questions (1h 45m, 50% of score, split into calculator and no-calculator parts) and Section II with 6 free-response questions (1h 30m, 50% of score). Upload your unit notes or a past FRQ set, choose AB or BC, and ExamTeX matches the structure and generates a point-by-point scoring guideline for every question. Because exams compile through LaTeX, every integral, limit, and derivative prints exactly like the real paper.

Section I — Multiple Choice

Part A: 30 questions, no calculator (60 min). Part B: 15 questions, graphing calculator required (45 min). Covers limits, derivatives, integrals, and (BC) series.

Marks: 45 questionsTime: 1h 45mWeight: 50% of score

Section II — Free Response

Part A: 2 questions with calculator (30 min). Part B: 4 questions without (60 min). Each FRQ scored out of 9 points with partial credit for setup and justification.

Marks: 6 questions × 9 ptsTime: 1h 30mWeight: 50% of score

Sample question with mark scheme

FRQ (no calculator): Let RR be the region enclosed by the graphs of f(x)=x2f(x) = x^2 and g(x)=2xg(x) = 2x. (a) Find the area of RR. (b) Find the volume of the solid generated when RR is revolved about the xx-axis. (c) The region RR is the base of a solid whose cross-sections perpendicular to the xx-axis are squares. Find the volume of this solid.
Show mark scheme
(a) 3 pts: intersection points x = 0, 2 (1 pt); integrand 2x − x² (1 pt); area = ∫₀²(2x − x²)dx = 4/3 (1 pt). (b) 3 pts: washer setup π∫₀²[(2x)² − (x²)²]dx (2 pts: outer/inner radii correct); evaluation 64π/15 (1 pt). (c) 3 pts: cross-section area (2x − x²)² (1 pt); integral setup (1 pt); evaluation 16/15 (1 pt).

Every generated paper includes a full mark scheme like this one.

Common mistakes AP Calc students make

  • Dropping the constant of integration on indefinite integrals — a reliably lost point on FRQs.
  • Justifying a maximum with "the derivative is zero" instead of the required sign-change or second-derivative argument — AP readers award justification points only for calculus-based reasoning.
  • Rounding intermediate values: final answers must be correct to three decimal places, and early rounding propagates.
  • On calculator questions, writing only the numeric answer without showing the setup (the integral or equation being solved) — setup carries its own points.

Frequently Asked Questions

Does ExamTeX cover both AP Calculus AB and BC?

Yes. Specify AB or BC when generating. BC papers include series, parametric, polar, and vector questions in the College Board's proportions; AB papers stay within the AB topic outline. You can also generate topic-targeted drills, such as a Unit 6 integration set.

Are the FRQs scored like real AP Calculus questions?

Each generated free-response question includes a 9-point scoring guideline split across the parts, with separate points for setup, computation, and justification — the same structure College Board scoring guidelines use, so you can self-grade realistically.

Does the math print properly?

Yes — exams compile through LaTeX, so limits, integrals, Riemann sums, and series notation render in print quality, the way the real exam paper looks. This matters for practicing under genuine exam conditions.

Can I practice just the no-calculator section?

Yes. Generate Section I Part A alone for timed no-calculator drilling, a full Section II, or a complete mock. You control question counts and the calculator/no-calculator split.

How is this different from AP Classroom?

AP Classroom has the College Board's fixed question bank — use it. ExamTeX complements it with unlimited fresh papers generated from your own notes, so when you have exhausted the official questions you can keep sitting full-length, properly typeset mocks targeted at your weak units.

Or generate other study materials

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