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Free Year 12 Calculus Worksheets

6 free calculus resources for Year 12: 6 worksheets. Answers included.

Differentiation and integration. In Year 12, Calculus, probability distributions and financial maths feature in advanced courses; English demands polished essays under time pressure.

Students will practise: differentiating polynomials with the power rule; differentiating term by term; handling constant terms; evaluating the derivative at a point; integrating polynomials; adding the constant of integration; integrating term by term; evaluating definite integrals.

Recommended learning path

  1. 1Year 12 Differentiation (Power Rule) Worksheet — Level 1
  2. 2Year 12 Differentiation (Power Rule) Worksheet — Level 2
  3. 3Year 12 Differentiation (Power Rule) Worksheet — Level 3
  4. 4Year 12 Integration (Polynomials) Worksheet — Level 1
  5. 5Year 12 Integration (Polynomials) Worksheet — Level 2
  6. 6Year 12 Integration (Polynomials) Worksheet — Level 3
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 12 Differentiation (Power Rule) Worksheet — Level 1

    Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 12…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Differentiation (Power Rule) Worksheet — Level 2

    Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 12 worksheet has 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Differentiation (Power Rule) Worksheet — Level 3

    Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 12 worksheet has…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Integration (Polynomials) Worksheet — Level 1

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Integration (Polynomials) Worksheet — Level 2

    Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this year group. This Year 12…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 12 Integration (Polynomials) Worksheet — Level 3

    Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included

All calculus worksheets, every year →

Common questions

What do Year 12 students learn about calculus?

Differentiation and integration. At Year 12, our resources focus on: differentiating polynomials with the power rule; differentiating term by term; handling constant terms; evaluating the derivative at a point.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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