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Free Year 10 Mathematics Worksheets — Australia

15 free mathematics resources for Year 10, 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 10 Mathematics topics

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 2

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 10…

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

    Year 10 Simultaneous Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this year group. This Year 10 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right-angled triangles. Expected-level practice for this year group. This Year 10…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 2 (Set 2)

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 10…

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

    Year 10 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 10 Index Laws Worksheet — Level 3

    Multiply and divide powers, raise a power to a power, and use zero and negative indices. A challenge set for students ready to stretch…

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

    Year 10 Pythagoras' Theorem Worksheet — Level 3

    Find the hypotenuse or a shorter side of a right-angled triangle. A challenge set for students ready to stretch further. This Year 10…

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

    Year 10 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 10…

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

    Year 10 Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…

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

    Year 10 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 10 Scientific Notation Worksheet — Level 2

    Convert between ordinary numbers and scientific notation. Expected-level practice for this year group. This Year 10 worksheet has 12…

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

    Year 10 Expanding Brackets Worksheet — Level 3

    Expand single brackets, then binomial products. A challenge set for students ready to stretch further. This Year 10 worksheet has 12…

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

Topic Tests

End-of-topic tests covering the whole topic.

  • Topic Test

    Year 10 Quadratics Topic Test

    Expanding binomials, factorising and solving quadratic equations in a 45-minute Year 10 test with marks and fully worked solutions.

    Difficulty
    Level 3 · Challenge
    Time
    45 min
    Questions
    18 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Simultaneous Equations: Substitution and Elimination

    Shows Year 10 students how to solve a pair of linear equations by substitution and by elimination, including when to multiply an equation…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Quadratics Cheat Sheet: Factorising and Solving

    A one-page summary of everything needed to factorise and solve quadratic equations: the sum-and-product method, common factors, difference…

    Difficulty
    Level 3 · Challenge
    Time
    15 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.