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APMathCollege Board

AP Calculus BC

Everything in Calculus AB plus advanced integration techniques, parametric and polar functions, and infinite series. Equivalent to two semesters of college calculus.

Difficulty

Very Hard

Popularity

85%

Past questions

3

Study tips

5

Key Topics

Limits & ContinuityDifferentiationIntegration TechniquesDifferential EquationsApplications of IntegrationParametric & Polar FunctionsInfinite Series

Exam Format & Dates

When Offered

May, annually

Total Duration

3 hours 15 minutes

Scoring

1–5 scale

Pass Score

3 = qualified | 4–5 = well qualified for college credit

Administered by: College BoardFee: $98Next date: May 2026Registration: November 15 (school registration)
SectionDurationContentWeight
Section I Part A — No-Calculator MCQ60 minutes30 questions33%
Section I Part B — Calculator MCQ45 minutes15 questions17%
Section II Part A — Calculator FRQ30 minutes2 questions17%
Section II Part B — No-Calculator FRQ60 minutes4 questions33%

Exam Breakdown & Insights

Section I Part A — No-Calculator MCQ33%
Section I Part B — Calculator MCQ17%
Section II Part A — Calculator FRQ17%
Section II Part B — No-Calculator FRQ33%
5/5

Difficulty · Elite

85

Popularity score

Student Poll

1 votes

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Study Tips

  1. 1

    After solving a problem, check your answer by substitution or estimation to catch sign and arithmetic errors.

  2. 2

    Do practice problems every day — math is learned by doing, not by re-reading notes.

  3. 3

    Keep an error log: write down every mistake, why it happened, and redo the problem a week later.

  4. 4

    Use the free official past FRQs on the College Board website and score yourself with the actual rubrics.

  5. 5

    Pace the multiple-choice section: flag hard questions and return later — every question is worth the same point.

Past Exam Questions

MediumLimits & Continuity2023

Define the key terms involved in Limits & Continuity and state any formula or rule you would use, explaining what each symbol represents.

HardDifferentiation2022

A problem involves Differentiation. Set it up carefully, solve it showing every step of your working, and check that your answer is reasonable.

MediumIntegration Techniques2024

Prove or justify a general result relating to Integration Techniques, then apply it to a specific case and interpret what the result means in context.

Common Mistakes to Avoid

  • Skipping steps in working, which throws away method marks when the final answer is wrong.

  • Not sanity-checking answers for reasonableness (wrong units, impossible magnitudes, extraneous solutions).

  • Dropping negative signs and misapplying the order of operations under time pressure.

Official Resources

Free, official study material for AP Calculus BC — always start with the source your exam board publishes.

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