How is the AP Calculus AB multiple-choice section structured?

Section I is 42 questions in 100 minutes and counts for 50% of the exam. Part A is 29 questions in 62 minutes with no calculator, about 2.1 minutes per question; Part B is 13 questions in 38 minutes and requires a graphing calculator.

What is the difference between AP Calculus AB and BC on Qinno?

They are separate question banks with separate battles, 100 questions each. BC covers the AB material plus its own topics: 19 of the 100 BC battle questions are infinite series and 12 are parametric, polar and vector functions, with the remaining 69 drawn from the AB core — close to the CED weighting, which puts about seven tenths of the BC exam on AB content.

What kinds of representation do the questions use?

The CED states that multiple-choice questions cover analytical, graphical, tabular and verbal representations. Roughly a third of Qinno’s calculus questions are contextual, tabular or graphical rather than a bare expression to differentiate, and 28 carry generated figures.

How long is a Qinno AP Calculus battle?

Five questions at 60, 90 or 150 seconds depending on how many steps the question takes, so a match runs about eight and a half to nine minutes — the longest of any subject on Qinno, because calculus questions genuinely take longer to work.

Is Qinno’s AP Calculus practice free?

Yes. A demo battle needs no account at all, and a free account adds the mistake book, AI explanations and challenge links. There are no paid tiers and no advertising.

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Last updated: August 12, 2026

AP Calculus AB and BC practice, played against a clock

Qinno covers both AP Calculus AB and BC as separate banks: 272 questions in total — 100 AB and 100 BC written for timed battles, plus 36 and 36 for untimed practice. Questions are weighted to the units of the official Course and Exam Description, and deliberately spread across the four kinds of representation the exam names.

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What the AP Calculus exam actually looks like

Section I of AP Calculus AB is 42 multiple-choice questions in 100 minutes, worth half the exam. It splits in two: 29 questions in 62 minutes with no calculator, then 13 questions in 38 minutes where a graphing calculator is required. That works out to roughly two minutes a question, and the second half is where the calculator-active, context-heavy questions live.

The Course and Exam Description is explicit that multiple-choice questions cover analytical, graphical, tabular and verbal representations. A bank made only of expressions to differentiate misses most of the exam, no matter how hard those expressions are.

CED unit	Official weight (AB)	Qinno's AB battle bank
Limits and Continuity	10–12%	11 of 100
Differentiation: definition and basic rules	10–12%	11 of 100
Differentiation: composite, implicit, inverse	9–11%	10 of 100
Contextual Applications of Differentiation	10–15%	13 of 100
Analytical Applications of Differentiation	15–18%	16 of 100
Integration and Accumulation of Change	17–20%	18 of 100
Differential Equations	6–12%	9 of 100
Applications of Integration	10–15%	12 of 100

Every one of those counts falls inside the official band. The BC bank follows the BC weighting instead: infinite series is 19 of 100 questions (against the official 17–22%), parametric, polar and vector functions another 12 (official 11–13%), and the remaining 69 come from the AB core that BC also examines.

Graphs, tables and contexts — not just symbol pushing

The single biggest gap between a homemade calculus bank and the real exam is representation, not difficulty. Reading increase and decrease off a graph of f-prime, matching a slope field to a differential equation, computing an average rate from a table of values, or interpreting a derivative with units attached — these are the exam’s bread and butter, and they are exactly what a bank of "differentiate this" questions never asks.

Qinno’s calculus questions run about a third contextual, tabular or graphical, and 28 of them carry figures. Those figures are generated by script from the underlying mathematics, so the geometry on the page is the geometry in the problem rather than a drawing that approximates it.

A figure must not answer its own question

A graph earns its place when reading it is the skill being tested: judging monotonicity from f-prime, pairing a slope field with an equation, pulling values from a table. It has to go when it hands over the answer — a question asking which marked point has a vertical tangent, with the curve drawn, is answered by looking at the leftmost point and requires no calculus at all.

Every figure in the bank is checked against both failures: does it draw the answer, and does it perform the verification step the student was supposed to perform.

Timers are set per question, not per subject

Calculus questions get 60, 90 or 150 seconds depending on how many steps they take — the most generous tiers on Qinno, because a related-rates setup or an accumulation problem cannot be honestly done in 45 seconds.

A five-question match runs about eight and a half to nine minutes. Scoring rewards speed directly: a correct answer is worth 100 points plus up to 200 more for the time left on the clock, so 300 is a perfect question. The last question of every match is always drawn from the hardest tier.

Every wrong option is a specific mistake

Each wrong answer is the value you get by making one identifiable error: forgetting the inner derivative of a chain rule, reading a rate as a total, using left endpoints where the question asked for right, differentiating when the question asked for an antiderivative, or dropping the constant of integration where it matters.

All four options have to sit on the solution path, so covering them up and working the problem is the only way through. Options that cannot be reached by any plausible error are just filler, and filler is what lets a student pick the answer by shape rather than by mathematics.

What you do with the questions you miss

Every AP Calculus question you get wrong, in a battle or in practice, lands in your mistake book automatically, with the answer you chose, the correct answer, and an AI explanation that works through the method and names what each wrong option corresponds to.

Mistake practice serves only your own missed questions: answer one correctly and it leaves the rotation, miss it again and it stays. Practice questions are deliberately harder on average than battle questions, because practice is untimed and you can actually work on paper.

Ways to play

Demo battle — five questions against a scripted opponent, no account needed.
Bot battle — an opponent that adapts to your recent scores, ten matches a day.
Live room — share a six-character code and race a friend in real time.
Challenge link — play your five questions, send the link, and your friend races a replay of your run.

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Other subjects

Qinno covers 3 more exams, each built the same way against its own published design.

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