For AP® Calculus BC students · Grade 12 (AP)
AP® Calculus BC practice questions and exam prep
Every unit of the AP® Calculus BC course framework: all of AB, plus integration by parts, partial fractions, improper integrals, Euler's method, logistic models, arc length, parametric, polar and vector-valued functions, and infinite series with Taylor polynomials and error bounds. New numbers every time you practice.
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- Made for BC AP® Calculus BC
- Worked solution for every question
- Free during the launch promotion
Unlimited
practice questions
269
lesson cards
10
units
127
skills
Popular AP® Calculus BC practice topics
- The chain rule
- Accumulation functions
- More techniques (BC)
- Logistic models (BC)
- Polar coordinates
- Convergence tests
- Taylor polynomials
What's covered
Every AP® Calculus BC unit, topic by topic
Haven't covered a topic in class yet? You can hide it.
Provisional map: no current AP® Calculus BC syllabus is publicly posted, so these units are based on the published course goals and learning outcomes. Your class may differ.
1Limits and continuity
6 lessons- Change at an instant and limit notation2 skills · 5 lesson cards
- Limits from graphs and tables3 skills · 5 lesson cards
- Finding limits algebraically5 skills · 6 lesson cards
- Continuity4 skills · 5 lesson cards
- Limits involving infinity2 skills · 4 lesson cards
- The Intermediate Value Theorem1 skills · 3 lesson cards
2Differentiation: definition and basic rules
5 lessons- The derivative3 skills · 6 lesson cards
- Estimating derivatives1 skills · 5 lesson cards
- Differentiability and continuity2 skills · 5 lesson cards
- Basic derivative rules3 skills · 5 lesson cards
- Product and quotient rules4 skills · 6 lesson cards
3Differentiation: composite, implicit and inverse functions
4 lessons- The chain rule2 skills · 6 lesson cards
- Implicit differentiation2 skills · 6 lesson cards
- Inverse functions2 skills · 6 lesson cards
- Choosing rules and higher derivatives2 skills · 6 lesson cards
4Contextual applications of differentiation
5 lessons- The derivative in context2 skills · 5 lesson cards
- Straight-line motion2 skills · 6 lesson cards
- Related rates2 skills · 5 lesson cards
- Local linearity2 skills · 5 lesson cards
- L'Hospital's rule1 skills · 5 lesson cards
5Analytical applications of differentiation
6 lessons- The Mean Value and Extreme Value Theorems3 skills · 5 lesson cards
- Increasing, decreasing and the first derivative test3 skills · 6 lesson cards
- Concavity and the second derivative test2 skills · 5 lesson cards
- Connecting f, f′ and f″3 skills · 5 lesson cards
- Optimization2 skills · 5 lesson cards
- Implicit relations1 skills · 4 lesson cards
6Integration and accumulation of change
7 lessons- Accumulation of change1 skills · 5 lesson cards
- Riemann sums3 skills · 6 lesson cards
- Accumulation functions2 skills · 5 lesson cards
- Definite integrals4 skills · 5 lesson cards
- Antiderivatives and substitution4 skills · 5 lesson cards
- More techniques (BC)3 skills · 5 lesson cards
- Choosing a technique1 skills · 4 lesson cards
7Differential equations
6 lessons- Differential equations2 skills · 5 lesson cards
- Slope fields2 skills · 6 lesson cards
- Euler's method (BC)1 skills · 4 lesson cards
- Separation of variables2 skills · 6 lesson cards
- Exponential models1 skills · 5 lesson cards
- Logistic models (BC)1 skills · 4 lesson cards
8Applications of integration
6 lessons- Average value and motion2 skills · 5 lesson cards
- Accumulation in context2 skills · 4 lesson cards
- Area between curves3 skills · 4 lesson cards
- Volumes with cross sections1 skills · 4 lesson cards
- Volumes of revolution3 skills · 4 lesson cards
- Arc length1 skills · 3 lesson cards
9Parametric equations, polar coordinates and vector-valued functions
3 lessons- Parametric equations4 skills · 5 lesson cards
- Vector-valued functions and planar motion3 skills · 6 lesson cards
- Polar coordinates4 skills · 6 lesson cards
10Infinite sequences and series
5 lessons- Series and geometric series2 skills · 6 lesson cards
- Convergence tests8 skills · 6 lesson cards
- Error bounds1 skills · 4 lesson cards
- Taylor polynomials2 skills · 6 lesson cards
- Power series3 skills · 6 lesson cards
How you'll practice
Tools built for calculus
Exact answers, graphs and worked solutions — the kinds of thinking unit tests and finals reward.
Practice by topic
Read a short lesson, then practice with typed math answers, a hint ladder and a worked solution after every question.
Graph questions
Drag points onto a parabola, shade where an inequality holds, mark intercepts and asymptotes — marked on the spot.
Progress tracking
Mastery by skill and unit, weak spots and recommended Daily practice, so you know what's actually solid.
My mistakes
Go over what you missed and try fresh questions on the same idea.
Unit tests and mock exams
Timed unit tests, a mock midterm and a mock final in the familiar format, with a breakdown by unit and skill.
Find the mistake
0 worked solutions with one planted error: find the line that goes wrong and see why.
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Fits your semester
How it follows AP® Calculus BC
- 01
Unit by unit
Read the lesson, then practice topic by topic. Mark the units your class has covered and Daily practice stays on them.
- 02
Before a unit test
Take a timed unit test, marked with full worked solutions and a breakdown by skill.
- 03
Before the exam
A mock exam across every unit, plus Rescue for your weakest topic and your mistakes to retry.
Questions
AP® Calculus BC FAQ
Do I need a new account?+
No. Sign in with your Learn4Less account — the same one you use on learn4less.ca.
Does it follow my course?+
Yes, unit by unit. Your teacher always has the final say, and you can hide any unit your class hasn't reached.
How is my typed answer marked?+
Instantly. Type it the way you'd write it, and any correct form counts: √12 and 2√3 are both right. If your answer is right but not fully simplified, it tells you.
Start your AP® Calculus BC practice today
Pick a topic and answer your first question in under five minutes.
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