AP Calculus BC Practice
Three modes of free AP Calculus BC practice, each answering a different question: where am I weak, can I fix one specific weakness, and can I hold it together when the questions are mixed. All 111 topics across Units 1-10 are covered, including series, parametric, polar, and vector-valued functions, and every mode is live for every unit. No account needed, and progress saves locally in your browser.
Mode 01 · Diagnose
Topic diagnostic
Ten items per topic, each written so that a wrong answer identifies a specific reasoning error rather than just a missed point. Your result routes you to the drills that address what actually fired.
Start with Topic 1.1Mode 02 · Drill
Targeted drills
Once a diagnostic flags a misconception, the drill attacks that one error from several angles with feedback after every question. The point is not volume, it is repetition aimed at the thing that broke.
Mode 03 · Verify
Cumulative exam
Twenty mixed items drawn from across a whole unit, with guaranteed coverage of its misconception codes. When you want the full picture, there is also an exam-length whole-course cumulative that mirrors BC exam weighting across Units 1-10.
Take a cumulativeThe teaching layer underneath
Practice only helps if something changes between attempts. Every one of the 111 topics also carries a full lesson you can reach any time, without taking an assessment first. Each lesson walks the concept and closes with a nine-scenario skill check, where each wrong choice explains the specific error that produces it.
When you want lower-stakes repetitions, the calculus arcade turns the same misconception bank into fast rounds you can run in a spare five minutes.
Practice by unit
Ten units · 111 topics · AP Calculus BC framework
- Unit 1Limits and Continuity16 topicsPractice ›
- Unit 2Differentiation: Definition and Fundamental Properties10 topicsPractice ›
- Unit 3Differentiation: Composite, Implicit, and Inverse Functions6 topicsPractice ›
- Unit 4Contextual Applications of Differentiation7 topicsPractice ›
- Unit 5Analytical Applications of Differentiation12 topicsPractice ›
- Unit 6Integration and Accumulation of Change14 topicsPractice ›
- Unit 7Differential Equations9 topicsPractice ›
- Unit 8Applications of Integration13 topicsPractice ›
- Unit 9Parametric Equations, Polar Coordinates, and Vector-Valued FunctionsBC only9 topicsPractice ›
- Unit 10Infinite Sequences and SeriesBC only15 topicsPractice ›
Units 9 and 10 appear only on the BC exam, as do six topics inside Units 6-8 (6.11-6.13, 7.5, 7.9, and 8.13); the unit pages badge every one of them. The whole-course cumulative on the units page mirrors BC exam weighting, so series and the other heavyweights show up in proportion.
Why misconception-targeted practice works
Most AP Calculus BC questions are not hard because the algebra is hard. They are hard because they are built to catch a specific wrong idea. The limit of a function as x approaches a is not the same thing as its value at a. The derivative of sin(3x) is not cos(3x): the inner derivative still has to come out. After a u-substitution, the bounds of a definite integral belong to u, not to x. A series whose terms shrink to zero does not have to converge. If you do not hold the misconception, the question is routine. If you do, more practice with it intact just rehearses it.
That is why this course is built around diagnose, then drill rather than around problem count. Working two hundred problems while a misconception is still in place rebuilds it two hundred times. Working a short set aimed directly at that misconception, with an explanation after each item, is what actually replaces it.
Common questions
FAQ
Is this free?
Yes. Every lesson, diagnostic, drill, and cumulative exam is free, and no account is required. Your progress saves in your browser using local storage.
How much practice is there?
All 111 BC topics are covered, Units 1-10. Each topic has a nine-scenario skill check inside its lesson, a ten-item diagnostic, and drills for each of its misconceptions. Each of the ten units has a twenty-item cumulative exam, and there is an exam-length whole-course cumulative weighted like the BC exam on top of that.
Where should I start?
If a unit test is coming up, take that unit's cumulative exam cold to find out where you actually stand. If you are working through the course or studying for the AP exam, run the topic diagnostics for material you have covered and let the results send you to drills.
Does this cover series, parametric, and polar?
Yes, in full. Unit 9 (parametric, polar, and vector-valued functions) and Unit 10 (infinite sequences and series) each have complete lessons, diagnostics, drills, and cumulative exams, along with the BC-only topics inside Units 6-8. The exam format page covers exactly what the BC exam asks.
What about the free-response section?
The multiple-choice practice here trains the reasoning that free-response questions grade step by step. For the FRQ section itself, including question types and scoring, see the BC free-response guide.
How do I know if my score is on track?
Take the whole-course cumulative, which mirrors BC exam weighting, then put your result into the BC score calculator to see roughly where it lands on the 1-5 scale, including the AB subscore.
Is this aligned to the College Board framework?
Yes. Topics, unit weightings, and exam structure follow the published AP Calculus AB and BC Course and Exam Description. Every practice item is tagged with an internal misconception code drawn from a fixed taxonomy for the course.
How long does a session take?
A topic diagnostic runs about 10 to 15 minutes. A single drill takes 5 to 10 minutes. A unit cumulative exam takes about 30 minutes, and the whole-course cumulative is exam length.