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Free Year 11 Calculus Worksheets

5 free calculus resources for Year 11: 3 worksheets, 2 study guides. Answers included.

Differentiation and integration. In Year 11, Year 11 is the first year of senior study.

Students will practise: understanding the derivative as a gradient function; applying the power rule to polynomial terms; rewriting roots and reciprocals as powers before differentiating; finding gradients, tangents and stationary points; differentiating a product of two functions using the product rule; differentiating a quotient using the quotient rule; differentiating a composite function using the chain rule, including square roots; choosing and combining rules, then simplifying by factorising.

Recommended learning path

  1. 1Differentiation Basics: The Power Rule
  2. 2Differentiation: Product, Quotient and Chain Rules
  3. 3Year 11 Differentiation (Power Rule) Worksheet — Level 1
  4. 4Year 11 Differentiation (Power Rule) Worksheet — Level 2
  5. 5Year 11 Integration (Polynomials) Worksheet — Level 1
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 11 Differentiation (Power Rule) Worksheet — Level 1

    Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 11…

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

    Year 11 Differentiation (Power Rule) Worksheet — Level 2

    Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 11 worksheet has 10…

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

    Year 11 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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Differentiation Basics: The Power Rule

    Introduces the derivative as a gradient function and sets out the power rule for differentiating polynomials, including negative and…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
  • Study Guide

    Differentiation: Product, Quotient and Chain Rules

    An HSC/VCE-style study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

Common questions

What do Year 11 students learn about calculus?

Differentiation and integration. At Year 11, our resources focus on: understanding the derivative as a gradient function; applying the power rule to polynomial terms; rewriting roots and reciprocals as powers before differentiating; finding gradients, tangents and stationary points.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

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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