Free Calculus Worksheets — New Zealand
21 free printable calculus worksheets from Year 12 to Year 13, with answer sheets. Differentiation and integration.
Level:
- Study Guide
Differentiation: Product, Quotient and Chain Rules
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Worksheet
Year 12 Differentiation (Power Rule) Worksheet — Level 1
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
Year 12 Differentiation (Power Rule) Worksheet — Level 2
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
Year 12 Differentiation (Power Rule) Worksheet — Level 3
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
Year 12 Integration (Polynomials) Worksheet — Level 1
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
Showing 6 of 8.
Level:
- Study Guide
Applications of Differentiation: Stationary Points and Optimisation
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Worksheet
Differentiating Exponential, Logarithmic and Trigonometric Functions
- Difficulty
- Level 3 · Challenge
- Time
- 50 min
- Questions
- 17 questions
- Answers
- Answers included
- Worksheet
Motion in a Straight Line: Displacement, Velocity and Acceleration
- Difficulty
- Level 3 · Challenge
- Time
- 50 min
- Questions
- 17 questions
- Answers
- Answers included
- Worked Examples
Senior Calculus Practice with Worked Solutions
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Questions
- 10 questions
- Answers
- Answers included
Showing 6 of 13.
Common questions
Which year levels do these calculus worksheets cover?
Calculus resources for New Zealand run from Year 12 to Year 13. Each year level has its own set, from an easier Level 1 to a challenging Level 3, so you can step back or move ahead as needed.
Are there answers?
Yes. Every worksheet has an answer sheet with the working shown, and every answer is computed by the same checked procedure that wrote the question.
Are they free to print?
Yes. Every worksheet downloads instantly as a PDF with no sign-up, free for home, classroom and homeschool use.
How to use these resources
- Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
- Use the answer sheet's working, not just the final answer, to check the method.
- Finish a topic with the topic test to see whether the skill is secure.
- Two or three short sessions a week beat one long one.