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Free Year 8 Mathematics Worksheets — Australia

24 free mathematics resources for Year 8, 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 8 Mathematics topics

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 8 Index Laws Worksheet — Level 2

    Multiply and divide powers, raise a power to a power, and use zero and negative indices. Expected-level practice for this year group. This…

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

    Year 8 Ratio Worksheet — Level 2

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. Expected-level practice for this year group. This Year 8…

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

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 8 worksheet has 14 questions…

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

    Year 8 Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

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

    Year 8 Solving Linear Equations Worksheet — Level 2 (Set 2)

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

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

    Year 8 Area and Perimeter Worksheet — Level 3

    Perimeter and area of rectangles, squares, triangles and composite shapes. A challenge set for students ready to stretch further. This…

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

    Year 8 Fractions, Decimals and Percentages Worksheet — Level 3

    Convert between fractions, decimals and percentages. A challenge set for students ready to stretch further. This Year 8 worksheet has 15…

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

    Year 8 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 8 Integers (Directed Numbers) Worksheet — Level 3

    Adding, subtracting, multiplying and dividing positive and negative numbers. A challenge set for students ready to stretch further. This…

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

    Year 8 Mean, Median, Mode and Range Worksheet — Level 3

    Calculate measures of centre and spread from small data sets. A challenge set for students ready to stretch further. This Year 8 worksheet…

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

    Year 8 Order of Operations (BODMAS) Worksheet — Level 3

    Evaluate expressions using the correct order of operations. A challenge set for students ready to stretch further. This Year 8 worksheet…

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

    Year 8 Probability Worksheet — Level 3

    Simple probability with marbles, spinners, dice and cards, written as fractions. A challenge set for students ready to stretch further.…

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

    Year 8 Ratio Worksheet — Level 3

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. 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 8 Simplifying Expressions (Like Terms) Worksheet — Level 3

    Collect like terms and simplify algebraic expressions. A challenge set for students ready to stretch further. This Year 8 worksheet has 14…

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

    Year 8 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 8 Scientific Notation Worksheet — Level 1

    Convert between ordinary numbers and scientific notation. Builds confidence with the core skill before adding complexity. This Year 8…

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

    Year 8 Substitution Worksheet — Level 2

    Substitute values into expressions and formulas and evaluate. Expected-level practice for this year group. This Year 8 worksheet has 12…

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

    Year 8 Percentage of an Amount Worksheet — Level 3

    Find percentages of quantities, including discounts and increases. A challenge set for students ready to stretch further. This Year 8…

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

    Year 8 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 8 worksheet has…

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

    Year 8 Expanding Brackets Worksheet — Level 1 (Set 2)

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 8 worksheet has…

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

    Year 8 Multiplying and Dividing Fractions Worksheet — Level 3

    Multiply fractions by whole numbers and other fractions; divide by flipping and multiplying. A challenge set for students ready to stretch…

    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 8 Linear Equations Topic Test

    Two-step equations, equations with brackets and expanding brackets in a 40-minute Year 8 test with marks and worked solutions.

    Difficulty
    Level 2 · Standard
    Time
    40 min
    Questions
    18 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Solving Linear Equations

    Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Index Laws Cheat Sheet

    A one-page reference for the Year 8 index laws: multiplying and dividing powers with the same base, raising a power to a power, the zero…

    Difficulty
    Level 2 · Standard
    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.