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Free Year 11 Mathematics Worksheets — Australia

15 free mathematics resources for Year 11, organised by topic with answer sheets, study guides and topic tests.

Maths builds in layers: counting leads to place value, place value to addition and subtraction, those to multiplication, division, fractions and then algebra. When a student struggles, the cause is often a gap one or two layers down. Our worksheets are organised by topic and level so you can step back to the layer that needs attention, then move forward with confidence.

Year 11 Mathematics topics

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 Factorising and Solving Quadratics Worksheet — Level 3

    Factorise monic quadratics and solve quadratic equations by factorising. A challenge set for students ready to stretch further. This Year…

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

    Year 11 Simultaneous Equations Worksheet — Level 3

    Solve pairs of linear equations by elimination or substitution. A challenge set for students ready to stretch further. This Year 11…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Trigonometry (Finding Sides) Worksheet — Level 3

    Use sine, cosine and tangent to find unknown sides in right-angled triangles. A challenge set for students ready to stretch further. This…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 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

    Functions, Domain and Range

    An HSC/VCE-style study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Index and Logarithm Laws

    An HSC/VCE-style study guide that sets out the index laws, the definition of a logarithm and the logarithm laws side by side. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Probability: Tree Diagrams and Conditional Probability

    An HSC/VCE-style study guide to multi-stage probability: the addition and multiplication rules, tree diagrams with and without…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Simple and Compound Interest

    An HSC/VCE-style study guide comparing simple interest (I = Prn) with compound interest (A = P(1 + r)ⁿ), including compounding more often…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    The Quadratic Formula and the Discriminant

    An HSC/VCE-style study guide to solving any quadratic equation with the quadratic formula and using the discriminant to predict how many…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Transformations of Functions

    An HSC/VCE-style study guide to translating, stretching and reflecting graphs using the form y = a f(b(x − h)) + k. Worked examples track…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • 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
  • Study Guide

    Trigonometric Functions, Radians and Exact Values

    An HSC/VCE-style study guide to radian measure, the exact-value table, the unit circle (ASTC) and the basic trigonometric graphs. Worked…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

Common questions

Are the answers checked?

Yes. Maths worksheets are generated by checked procedures, so every answer is computed rather than typed by hand, and each answer sheet shows the working.

Which level should my child start on?

Start on Level 2 (the expected standard for the year). If they find it hard, drop to Level 1; if it's easy, try Level 3 or the next year level.

Can I print these for a class?

Yes — all resources are free to print and share for personal, classroom and homeschool use.

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.