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Free Year 7 Mathematics Worksheets — Australia

31 free mathematics resources for Year 7, 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 7 Mathematics topics

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 7 Index Laws Worksheet — Level 1

    Multiply and divide powers, raise a power to a power, and use zero and negative indices. Builds confidence with the core skill before…

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

    Year 7 Ratio Worksheet — Level 1

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. Builds confidence with the core skill before adding complexity.…

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

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Solving Linear Equations Worksheet — Level 1

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

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

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1 (Set 2)

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Solving Linear Equations Worksheet — Level 1 (Set 2)

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

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

    Year 7 Fractions, Decimals and Percentages Worksheet — Level 2

    Convert between fractions, decimals and percentages. Expected-level practice for this year group. This Year 7 worksheet has 15 questions…

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

    Year 7 Integers (Directed Numbers) Worksheet — Level 2

    Adding, subtracting, multiplying and dividing positive and negative numbers. Expected-level practice for this year group. This Year 7…

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

    Year 7 Mean, Median, Mode and Range Worksheet — Level 2

    Calculate measures of centre and spread from small data sets. Expected-level practice for this year group. This Year 7 worksheet has 8…

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

    Year 7 Order of Operations (BODMAS) Worksheet — Level 2

    Evaluate expressions using the correct order of operations. Expected-level practice for this year group. This Year 7 worksheet has 12…

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

    Year 7 Probability Worksheet — Level 2

    Simple probability with marbles, spinners, dice and cards, written as fractions. Expected-level practice for this year group. This Year 7…

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

    Year 7 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 7…

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

    Year 7 Integers (Directed Numbers) Worksheet — Level 2 (Set 2)

    Adding, subtracting, multiplying and dividing positive and negative numbers. Expected-level practice for this year group. This Year 7…

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

    Year 7 Angles Worksheet — Level 3

    Classify angles and find missing angles on a line, at a point and in triangles. A challenge set for students ready to stretch further.…

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

    Year 7 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 7 Factors, Multiples and Primes Worksheet — Level 3

    List factors and multiples, identify prime numbers and find HCF and LCM. A challenge set for students ready to stretch further. This Year…

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

    Year 7 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 7 Metric Conversions Worksheet — Level 3

    Convert between mm, cm, m, km; g and kg; mL and L. A challenge set for students ready to stretch further. This Year 7 worksheet has 14…

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

    Year 7 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 7 worksheet…

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

    Year 7 Substitution Worksheet — Level 1

    Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 7…

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

    Year 7 Percentage of an Amount Worksheet — Level 2

    Find percentages of quantities, including discounts and increases. Expected-level practice for this year group. This Year 7 worksheet has…

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

    Year 7 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 7 worksheet has…

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

    Year 7 Multiplying and Dividing Decimals Worksheet — Level 3

    Multiply and divide decimals by 10, 100, 1000 and by whole numbers. A challenge set for students ready to stretch further. This Year 7…

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

    Year 7 Adding and Subtracting Fractions Worksheet — Level 3

    Add and subtract fractions — with the same denominator first, then related and unrelated denominators. A challenge set for students ready…

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

    Year 7 Multiplying and Dividing Fractions Worksheet — Level 2

    Multiply fractions by whole numbers and other fractions; divide by flipping and multiplying. Expected-level practice for this year group.…

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

Practice Tests

Timed, exam-style practice with marks.

  • Practice Test

    NAPLAN-style Numeracy Practice Test 1 (Year 7)

    A 60-minute NAPLAN-style numeracy practice test for Year 7: integers, order of operations, fractions, decimals, percentages, ratio, simple…

    Difficulty
    Level 2 · Standard
    Time
    60 min
    Questions
    32 questions
    Answers
    Answers included

Topic Tests

End-of-topic tests covering the whole topic.

  • Topic Test

    Year 7 Introduction to Algebra Topic Test

    Simplifying expressions, substitution and solving one-step equations in a 40-minute Year 7 algebra test with marks and worked solutions.

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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Algebra Basics: Expressions

    An introduction to algebra for Year 7: what pronumerals are, how to read and write expressions, substituting numbers for letters, and…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Study Guide

    Fractions, Decimals and Percentages: Converting Between Them

    Gives Year 7 students one clear rule for each of the six conversions between fractions, decimals and percentages, a table of the benchmark…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Study Guide

    Integers Explained: Working with Negative Numbers

    Explains positive and negative whole numbers using the number line, then sets out the rules for adding, subtracting, multiplying and…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Study Guide

    Ratio and Rates

    Covers the Year 7 ratio and rates skills students use in cooking, maps, speed and shopping: simplifying ratios (including ones with…

    Difficulty
    Level 2 · Standard
    Time
    20 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.