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Free Year 10 Quadratics Worksheets

5 free quadratics resources for Year 10: 3 worksheets, 1 study guide, 1 test. Answers included.

Expanding, factorising and solving quadratic equations. In Year 10, Year 10 prepares students for senior courses: quadratics, simultaneous equations, surds, trigonometry and logarithms, plus data analysis.

Students will practise: understanding the standard form of a quadratic equation; factorising monic quadratics and special cases; solving quadratic equations using the null factor law; using the quadratic formula and the discriminant; factorising quadratic expressions; solving quadratic equations by factorising; applying the null factor law; expanding binomial products.

Recommended learning path

  1. 1Quadratics Cheat Sheet: Factorising and Solving
  2. 2Year 10 Factorising and Solving Quadratics Worksheet — Level 2
  3. 3Year 10 Factorising and Solving Quadratics Worksheet — Level 2 (Set 2)
  4. 4Year 10 Factorising and Solving Quadratics Worksheet — Level 3
  5. 5Year 10 Quadratics Topic Test
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 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

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

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

What do Year 10 students learn about quadratics?

Expanding, factorising and solving quadratic equations. At Year 10, our resources focus on: understanding the standard form of a quadratic equation; factorising monic quadratics and special cases; solving quadratic equations using the null factor law; using the quadratic formula and the discriminant.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

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.

Need something specific?

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