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Calculus practice, topic by topic

Build the algebra and trigonometry fluency that makes calculus feel possible, then practise limits, derivatives and integrals themselves.

500 practice questions Topic-selectable practice Worked guides Pre-calc to Calculus I

What Calculus is for

This practice starts with the pre-calculus foundations (functions, equations, graphs and trigonometry) and continues into Calculus I: limits, derivatives and their applications, and integrals with their applications to areas and volumes.

The goal is not to memorize a pile of formulas. It is to recognize the structure of a problem, choose a workable method, and explain why the result makes sense.

Who this practice is for

What the practice app covers

Each of its 30 topics can be selected on its own, so you can work on the exact skill that is slowing you down. About half the questions ask you to type a number, so a guess between four options does not help.

Choose a topic to read its explainer, then practice it in the free app.

Pre-Calculus150 questionsExplainer coming · Practice → Limits & Continuity63 questionsExplainer coming · Practice → Derivatives87 questionsExplainer coming · Practice → Applications of Derivatives80 questionsExplainer coming · Practice → Integrals70 questionsExplainer coming · Practice → Applications of Integration50 questionsExplainer coming · Practice →

Each row is a course unit with its number of practice questions. Infinite series and multivariable calculus are planned.

How the practice app works

  1. Choose a topic. Practice a single weak area or a balanced mix across the course.
  2. Answer, then learn from the rationale. Every item explains the correct method and the common wrong turns.
  3. Use a guide when you are stuck. Worked problem-solving guides link straight to practice on the same topic.
  4. Come back to weak spots. The app is designed for short practice sessions that fit around class, work, and life.
Release status

Live with 500 original questions (version 3.0.0, 2026-10-12): 150 pre-calculus and 350 Calculus I, every one with a worked explanation. Open the Calculus practice app.

Frequently asked questions

Is the Calculus practice app available now?

Yes. The free practice app has 500 original questions, from pre-calculus through limits, derivatives, integrals, areas and volumes. It works offline and needs no account.

Do I need to be taking calculus already?

No. The pre-calculus topics are for learners building the algebra, function and trigonometry foundation; the Calculus I topics are for students taking the course now.

Is this tied to one instructor or section?

No. The material is written for a general Calculus audience and focuses on transferable problem-solving methods.

Kestrel Exams Calculus material is independent study practice. Questions and guides are original and AI-generated, written against the current published course objectives.