Calculus practice.
Limits, differentiation and integration, from first principles to exam-style problems. Every question has an explanation.
- 105questions
- 4topics
- 3exams
Calculus in New Zealand
Practise calculus with the exams you can take in New Zealand.
All calculus topics.
Each topic opens a list of questions with explanations. Choose the exam you are preparing for.
Calculus Methods, Derivatives, Kinematics and Coordinate Geometry
40 questions across 1 exam
Differential and Integral Calculus, Real-World Modelling and Differential Equations
40 questions across 1 exam
Differentiation
14 questions across 1 exam
Integration
11 questions across 1 exam
Try one now
Real questions, worked answers.
- Calculus Methods, Derivatives, Kinematics and Coordinate Geometry · National Certificate of Educational AchievementWhat is the derivative of the function f(x) = 4x 3 - 5x 2 + 7x - 9?See the answer and explanation →
- Differential and Integral Calculus, Real-World Modelling and Differential Equations · New Zealand ScholarshipEvaluate the indefinite integral integral( 2x * cos(x 2) dx) using substitution.See the answer and explanation →
- Differentiation · IB DiplomaIf f(x) = 2x 3 + 3x 2 - 4x, what is f'(4)?See the answer and explanation →
Test yourself.
Timed mock tests
More in mathematics.
- Are the calculus questions free?
- Yes. Every question, explanation, mock test and flashcard deck is free, with no plans or paywalls.
- Which exams include calculus?
- National Certificate of Educational Achievement, New Zealand Scholarship, IB Diploma. Pick a topic above, then the exam you are preparing for.