AP Calculus AB
Free, misconception-targeted AP Calculus AB practice across the eight units of the AB course framework. Diagnose which reasoning errors are costing you points. Drill only those, with feedback after every question. Verify with unit-length cumulative exams.
AP Calculus AB is being built right now. The course framework, the unit map, and the platform wiring are in place; lessons, diagnostics, and drills arrive one unit at a time. Nothing on this page links anywhere that is not ready yet, so what you can click, you can use.
Practice
Three modes, one workflow
01 · Diagnose
Topic diagnostic
Short topic-level assessments built around documented calculus misconceptions. Each result routes you to the specific drills that fix what tripped you up.
02 · Drill
Targeted drills
One misconception at a time, multiple choice, varied scenarios, feedback after every question. Reached from your diagnostic result, so you only drill what actually broke.
03 · Verify
Cumulative MCQ
Unit-length exams that mirror the AP Calculus AB multiple-choice format, including the split between the no-calculator and calculator sections.
Reference
Resources and guides
Framework
All 8 Units
Course units with exam weighting, topic counts, and what each unit covers.
Overview
Exam Format
Sections, timing, the split calculator policy, and how the score is weighted.
Guide
FRQ Guide
The six free-response questions, their calculator rules, and what each rewards.
Reference
Formulas to Memorize
Theorems, derivatives, integrals, and series facts worth knowing cold. No formula sheet is provided on exam day.
Tool
Score Calculator
Estimate your 1 to 5 from multiple-choice and free-response raw scores.
Honest take
Is AP Calculus AB Hard?
What actually makes it tough, and what to do about it.
By unit
The course at a glance
- Unit 1Limits and ContinuityOpen ›
- Unit 2Definition of the DerivativeOpen ›
- Unit 3Chain, Implicit, and InverseOpen ›
- Unit 4Contextual ApplicationsOpen ›
- Unit 5Analytical ApplicationsOpen ›
- Unit 6Integration and AccumulationOpen ›
- Unit 7Differential EquationsOpen ›
- Unit 8Applications of IntegrationOpen ›
Why misconception-targeted, not problem volume
Most calculus points are lost to a small set of predictable reasoning errors: treating a limit as the value of the function at that point, assuming continuity implies differentiability, forgetting the inner derivative in the chain rule, calling every critical point an extremum, and forgetting to convert the bounds after a substitution. Add dropping the constant of integration, reading a sign chart off f instead of f prime, and reporting the critical input when the question asked for the value.
If you hold a misconception, more practice with it intact reinforces it. The fastest path to a higher score is identifying which two or three misconceptions are costing you points and addressing them directly. That is what Mistake Master is built to do.