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Free Year 12 Mathematics Worksheets — Australia

13 free mathematics resources for Year 12, 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 12 Mathematics topics

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • 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 Differentiation (Power Rule) Worksheet — Level 3 (Set 2)

    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 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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Annuities, Loans and Depreciation

    An HSC/VCE-style study guide to the financial models met in senior maths: straight-line and declining-balance depreciation, the future and…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Applications of Differentiation: Stationary Points and Optimisation

    An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Bivariate Data: Correlation and Lines of Best Fit

    An HSC/VCE-style study guide to analysing two numerical variables: describing scatterplots, interpreting Pearson's r and the coefficient…

    Difficulty
    Level 3 · Challenge
    Time
    25 min
  • Study Guide

    Exponential Growth and Decay

    An HSC/VCE-style study guide to the model N = N₀eᵏᵗ: finding k from data, predicting future values, half-life and doubling time, the rate…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration and Area Under Curves

    An HSC/VCE-style study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration Basics

    Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
  • Study Guide

    The Normal Distribution and z-scores

    An HSC/VCE-style study guide to the bell curve: calculating z-scores, comparing results from different tests, using the 68–95–99.7 rule,…

    Difficulty
    Level 3 · Challenge
    Time
    25 min

Worked Examples

Step-by-step solutions to model the method.

  • Worked Examples

    HSC/VCE-style Calculus Practice with Worked Solutions

    Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
    Questions
    10 questions
    Answers
    Answers included
  • Worked Examples

    HSC/VCE-style Functions and Graphs Practice with Worked Solutions

    Ten exam-style questions on functions and their graphs: function notation, domain and range, transformations of points, composite and…

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

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.