For BC Calculus 12 · Grade 12 (British Columbia)
Calculus 12 practice questions and test prep
Every unit of BC Calculus 12: limits and continuity, the derivative and its rules, graphs of f, f′ and f″, related rates and optimization, antiderivatives and differential equations, and the definite integral. Typed answers marked by a math engine that accepts every equivalent form.
- Made for BC Calculus 12
- Worked solution for every question
- Free during the launch promotion
Unlimited
practice questions
317
lesson cards
8
units
74
skills
Popular Calculus 12 practice topics
- Evaluating limits algebraically
- The chain rule
- Implicit differentiation
- Curve sketching and matching f, f′, f″
- Optimization problems
- Integration by substitution
- The fundamental theorem of calculus
What's covered
Every Calculus 12 unit, topic by topic
Haven't covered a topic in class yet? You can hide it.
1Functions & graphs review
6 lessons- Parent functions and transformations1 skills · 5 lesson cards
- Domain and range1 skills · 7 lesson cards
- Piecewise functions2 skills · 7 lesson cards
- Inverse trigonometric functions1 skills · 7 lesson cards
- Graphs of inverse trig functions1 skills · 5 lesson cards
- Composition and inverse functions1 skills · 6 lesson cards
2Limits & continuity
8 lessons- Limits from tables and graphs2 skills · 6 lesson cards
- One-sided and two-sided limits1 skills · 5 lesson cards
- Evaluating limits algebraically3 skills · 8 lesson cards
- Trigonometric limits1 skills · 5 lesson cards
- Infinite limits and vertical asymptotes1 skills · 6 lesson cards
- Limits at infinity1 skills · 5 lesson cards
- Continuity1 skills · 7 lesson cards
- The intermediate value theorem1 skills · 6 lesson cards
3The derivative
7 lessons- Average rate of change and secant lines2 skills · 7 lesson cards
- Instantaneous rate of change1 skills · 6 lesson cards
- The definition of the derivative1 skills · 6 lesson cards
- Notation and history1 skills · 5 lesson cards
- Tangent lines1 skills · 5 lesson cards
- Derivatives from graphs1 skills · 6 lesson cards
- Differentiability1 skills · 6 lesson cards
4Differentiation rules
8 lessons- The power rule1 skills · 7 lesson cards
- The product and quotient rules2 skills · 8 lesson cards
- The chain rule1 skills · 6 lesson cards
- Exponential and logarithmic derivatives1 skills · 7 lesson cards
- Trigonometric and inverse trig derivatives2 skills · 7 lesson cards
- Combining the rules and tangent lines1 skills · 5 lesson cards
- Higher-order derivatives1 skills · 6 lesson cards
- Implicit differentiation2 skills · 6 lesson cards
5Graphs of f, f′, f″
7 lessons- Critical numbers1 skills · 5 lesson cards
- Increasing, decreasing and the first derivative test2 skills · 5 lesson cards
- Concavity and points of inflection2 skills · 5 lesson cards
- The second derivative test1 skills · 3 lesson cards
- Curve sketching and matching f, f′, f″2 skills · 5 lesson cards
- Differentiability and the mean value theorem1 skills · 4 lesson cards
- Newton's method1 skills · 4 lesson cards
6Related rates & optimization
4 lessons- The related-rates method1 skills · 5 lesson cards
- Related rates in context2 skills · 6 lesson cards
- Absolute extrema on an interval1 skills · 5 lesson cards
- Optimization problems3 skills · 5 lesson cards
7Antiderivatives & differential equations
9 lessons- Antiderivatives and integral notation1 skills · 6 lesson cards
- The power rule backwards1 skills · 6 lesson cards
- Exponential, 1/x and trig antiderivatives1 skills · 6 lesson cards
- Integration by substitution1 skills · 6 lesson cards
- Integration by parts1 skills · 6 lesson cards
- Differential equations1 skills · 6 lesson cards
- Separable equations1 skills · 5 lesson cards
- Initial value problems1 skills · 5 lesson cards
- Slope fields1 skills · 6 lesson cards
8The definite integral
6 lessons- Riemann sums and the trapezoidal method3 skills · 7 lesson cards
- The definite integral: definition, notation, properties2 skills · 6 lesson cards
- The fundamental theorem of calculus2 skills · 7 lesson cards
- Area under and between curves2 skills · 6 lesson cards
- Volumes of solids of revolution1 skills · 5 lesson cards
- Average value of a function1 skills · 4 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
216 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 Calculus 12
- 01
As each unit is taught
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 in the same format as a real one: multiple choice plus written response, marked with full worked solutions.
- 03
Midterm and final
Mock midterm (Units 1–4) and mock final (all units), plus Rescue for your weakest topic and your mistakes to retry.
Questions
Calculus 12 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 Calculus 12 practice today
Pick a topic and answer your first question in under five minutes.
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