AP Calculus AB
Limits, derivatives, integrals, differential equations, motion, and area/volume applications.
- 42 MCQ + 6 FRQ
- 190 minutes
- Calculator and no-calculator parts
FREE PRACTICE · NO SIGNUP
Go deeper.
Show your reasoning.
Original Calculus AB and BC mock exams, plus international challenges that ask you to model, justify, and prove.
Practice with purpose
- Attempt. Download a student paper, set a timer, and show your work.
- Review. Use the separate solutions and point-by-point marking guide.
- Relearn. Revisit the matching calculus videos and lesson worksheets.
AP CALCULUS AB & BC
Two full-length mocks
Each paper uses the question counts and section timing effective from the May 2027 AP exams. These are printable practice papers; the official exam uses Bluebook for on-screen questions.
AP Calculus BC
AB foundations plus advanced integration, parametric and polar curves, convergence, Taylor series, and error bounds.
- 42 MCQ + 6 FRQ
- 190 minutes
- Calculator and no-calculator parts
See the 2027 timing and calculator rules
| Section | Questions | Time | Calculator |
|---|---|---|---|
| MCQ Part A | 29 | 62 min | Not permitted |
| MCQ Part B | 13 | 38 min | Graphing required |
| FRQ Part A | 2 | 30 min | Graphing required |
| FRQ Part B | 4 | 60 min | Not permitted |
Each FRQ has a 9-point practice rubric. MCQ and FRQ each contribute 50% to the weighted practice score. These papers do not provide official AP grade boundaries or predict a 1–5 score.
INTERNATIONAL INSPIRATION
Four ways to stretch your thinking
Short calculus enrichment mocks inspired by selected approaches from Singapore, China, Japan, and Europe. Each has three extended problems with proofs, models, or parameter analysis. These are original English-language practice sets, not full national exam replicas; national syllabuses cover additional subjects.
Singapore-inspired
Optimize a design, test a cooling model, and analyze a parametric region.
- 3 structured problems · 30 marks
- 60 minutes
- Calculator permitted
China-inspired
Classify all parameter cases, count roots, and prove a sharp logarithmic inequality.
- 3 structured problems · 30 marks
- 60 minutes
- No calculator
Japan-inspired
Build an integral recurrence, use symmetry to find an invariant, and prove a tangent-area formula.
- 3 structured problems · 30 marks
- 60 minutes
- No calculator
European approaches
Explore logistic growth, prove Newton iteration converges, and analyze an exponential response model.
- 3 structured problems · 30 marks
- 60 minutes
- Calculator permitted
“European approaches” combines selected A-level and French-style themes. There is no single European examination. Calculator rules and mark totals here belong to these practice sets.
FOR TEACHERS & INDEPENDENT LEARNERS
One complete printable collection
All six student papers, all six solution guides, a contents page, and source links in one PDF. Answers are included—use the individual student files above for a timed attempt.
Official references and scope
Official references informed the AP structure and the choice of international themes. Every problem and practice rubric in this collection is original. No questions are reproduced from Barron’s, The Princeton Review, or the linked exam boards. This material is not affiliated with or endorsed by those organizations. AP is a College Board trademark.
- AP Calculus AB exam structure
- AP Calculus BC exam structure
- Singapore SEAB: 2027 syllabuses
- China NEEA: Gaokao resources
- University of Tokyo: past entrance papers
- Cambridge International: A-level Mathematics 9709
- France Eduscol: baccalaureat past-paper archive
Reference review: September 17, 2026. The international papers focus on calculus and related reasoning, not full syllabus coverage or official difficulty calibration.