AP Precalculus Practice
Three modes of free AP Precalculus 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 58 topics are covered. 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 eight 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. Use it cold as a baseline before a unit test, or as the final check after drills.
Take a cumulativeThe teaching layer underneath
Practice only helps if something changes between attempts. Every one of the 58 topics also carries two teaching resources you can reach any time, without taking an assessment first.
Lessons walk the concept and close with a ten-scenario skill check, where each wrong choice explains the specific error that produces it. Step-through animations run about three minutes and are optional: they show the idea moving rather than sitting still, which matters most for the things that are hard to picture, like a circle unwrapping into a sine wave or a plane bending under a matrix. Both are linked from every topic page.
Practice by unit
Four units, AP Precalculus framework
- Unit 1Polynomial and Rational FunctionsPractice ›
- Unit 2Exponential and Logarithmic FunctionsPractice ›
- Unit 3Trigonometric and Polar FunctionsPractice ›
- Unit 4Parameters, Vectors, and Matrices (not on the AP exam)Practice ›
Why misconception-targeted practice works
Most AP Precalculus questions are not hard because the algebra is hard. They are hard because they are built to catch a specific wrong idea. Concave up does not mean increasing. The inverse of a function is not its reciprocal. A log of a sum does not split into a sum of logs. A zero of the denominator is only an asymptote if it survives cancelling. 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 eight problems aimed directly at that misconception, with an explanation after each, is what actually replaces it.
Common questions
FAQ
Is this free?
Yes. Every lesson, diagnostic, drill, cumulative exam, and animation is free, and no account is required. Your progress saves in your browser using local storage.
How much practice is there?
All 58 topics are covered. Each topic has a ten-scenario skill check inside its lesson, a ten-item diagnostic, and drills for each of its misconceptions. Each of the four units also has a twenty-item cumulative exam.
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 Unit 4?
Yes, in full, and it is labeled clearly throughout. Unit 4 is not assessed on the AP exam, so its drills stay out of exam-weighted practice, but schools that teach it get the same lessons, diagnostics, animations, and cumulative exam as the other three units.
Is this aligned to the College Board framework?
Yes. Topics, unit weightings, and exam structure follow the published AP Precalculus 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 cumulative exam takes about 30 minutes. An animation is roughly 3 minutes.