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Free Year 10 Algebra Worksheets

4 free algebra resources for Year 10: 4 worksheets. Answers included.

Patterns, expressions, equations, functions and graphs. In Year 10, Year 10 students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practise: factorising quadratic expressions; finding factor pairs; applying the null factor law; solving simultaneous equations by elimination; substituting to find the second variable; checking solutions; solving equations with brackets and variables on both sides; using inverse operations.

Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

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

    Year 10 Simultaneous Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This Year…

    Difficulty
    Level 1 · Easier
    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 Expanding Brackets Worksheet — Level 2

    Expand single brackets, then binomial products. Expected-level practice for this year group. This Year 10 worksheet has 12 questions and…

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

Common questions

What do Year 10 students learn about algebra?

Patterns, expressions, equations, functions and graphs. At Year 10, our resources focus on: factorising quadratic expressions; finding factor pairs; applying the null factor law; solving simultaneous equations by elimination.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

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.

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