Generate calculus quizzes covering derivatives, integrals, limits, and applications.
Free · No sign-up · PDF export · Any subject or grade
Build your quiz
Describe the topic, set the details, and we'll draft a classroom-ready quiz with answer key.
86/5000
Free · No sign-up · PDF export
Trusted by innovative teachers at
Every question type
Multiple choice, true/false, short answer, fill-in-the-blank, and matching — generated in one pass from a single topic description. No switching between tools.
Plausible distractors based on common misconceptions
Matching pairs with randomized Column B
Short-answer sample responses and key points
Fill-in-blank with accepted alternates
Unit 3 Review — 12 questions
1 · Multiple choice
Which process converts light energy into chemical energy in plants?
2 · Short answer
Explain why leaves appear green to the human eye.
3 · True / false
Chlorophyll absorbs mostly green light.
Classroom-ready
Every quiz ships with a teacher version and a student version. Toggle answers on and off, print to PDF, and hand it out — or keep it digital.
Toggle between blank handout and answer key
Print-ready PDF with clean spacing
Explanations for every answer, not just the letter
Edit any question before exporting
Student version
PDF1. What process converts light energy into chemical energy?
A. Respiration
B. Photosynthesis
C. Transpiration
D. Fermentation
2. Explain why leaves appear green.
Teacher version
Answers1. What process converts light energy into chemical energy?
A. Respiration
B. Photosynthesis ✓
C. Transpiration
D. Fermentation
Explanation: Photosynthesis converts sunlight into glucose in the chloroplasts.
Designed for real classrooms
The small things that make an AI-generated quiz actually usable by Monday morning.
About this tool
A calculus quiz generator has to respect the order calculus is actually taught — limits before derivatives, derivatives before integrals, single-variable before series. This calculus quiz maker produces problems that solve cleanly, with worked solutions on the teacher version so you don't have to recheck every answer by hand before handing out a practice test.
Specify the unit and the generator stays in scope. Limits and continuity pulls epsilon-delta reasoning and indeterminate forms. Differentiation covers the power rule, product and quotient rules, chain rule, and implicit differentiation. Integration handles u-substitution, integration by parts, and the Fundamental Theorem. For BC, add Taylor series, parametric and polar, and convergence tests. AB-only requests leave out the series content.
Limits, continuity, and the definition of the derivative
Power, product, quotient, and chain rules
Definite and indefinite integrals with FTC applications
Related rates, optimization, and applications of integration
A calculus quiz is useless if the key just lists the final expression. Generated answer keys walk through the derivative rule used, the substitution chosen, the bounds evaluated, and the simplification path. That's what makes the practice test a review tool — students who miss an optimization problem can see where their setup diverged from the worked solution instead of waiting for office hours.
The calculus practice test format tracks the course. AP Calculus AB defaults to the College Board's four units and the free-response structure. BC adds series, parametric, and polar. College Calc I and II pull from the same concept bank with problem sets sized for weekly homework or midterm review. The AI doesn't mix BC-only topics into an AB quiz.
Five derivative drills for a bell ringer, a 12-question related-rates check, a 20-question integration unit test, or a full 45-question mock AP exam — same calculus quiz generator, different length. Teachers build multiple versions for test security; students regenerate practice sets until the concepts stick.
How it works
Tell us the topic, grade level, and subject. Paste chapter notes, unit objectives, or a single sentence — whatever you have.
A balanced mix of question types with answer keys and explanations, aligned to the cognitive load you selected.
Review, tweak any question, toggle answers on or off, and export a clean PDF. You stay in control the whole way.
Hear from teachers who are saving time and providing better feedback.
“For Chadwick users, GradeWithAI has improved feedback efficiency and effectiveness, as it is grounded in existing platforms and is highly adaptable.”

“More impressive though is that it corrects student answers not simply using a pre-written answer, but by following the thought process they've pursued.”

“I've really enjoyed using the GradeWithAI program. It saves me a ton of time, especially when I have class sizes of 35 or 36 students times five.”

“GradeWithAI doesn't just grade. It gives the student reasoning as to why every point is awarded or not awarded. That is a very valuable thing for the students.”

“GradeWithAI [provides] students with timely individualized feedback on their homework assignments and formative assessments. This is a job that is virtually impossible for a teacher to do on a regular basis.”

“Students have also appreciated the consistency and immediacy of the feedback I can provide through GradeWithAI. This has enabled them to make necessary corrections and achieve their desired scores on any assignment.”

After the quiz
The quiz generator is free forever. When you're ready to grade the responses, GradeWithAI scores student work — including handwritten answers — against your answer key in seconds.
Upload or sync student responses from any LMS
AI grades against your answer key with feedback
Works with typed and handwritten responses
Push grades back to Canvas or Google Classroom in one click
Graded 28 quizzes
Period 4 · 92% class average · 14 seconds
Ava G.
9/10
Marcus R.
10/10
Priya S.
8/10
Got questions?
Answers to common questions from teachers. Still stuck? Email john@gradewithai.com — replies land the same day.
Our AI generates multiple choice, true or false, short answer, fill-in-the-blank, and matching questions. You can request specific types or let the AI create a balanced mix.
Browse by subject
Pre-configured starting points for the quizzes teachers ask for most.
Related tools
Join thousands of teachers who save 10+ hours every week with AI-powered grading.
Free plan available · No credit card required
Teachers using GradeWithAI report grading in a fraction of the time, with richer feedback for every student.


