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Free Year 11 Quadratics Worksheets

2 free quadratics resources for Year 11: 1 worksheets, 1 study guide. Answers included.

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Expanding, factorising and solving quadratic equations. In Year 11, Year 11 is the first year of senior study.

Students will practise: solving quadratic equations with the quadratic formula, including exact surd form; calculating the discriminant and interpreting its sign; finding unknown coefficients so that an equation has equal, distinct or no real roots; linking the discriminant to the number of x-intercepts of a parabola; factorising quadratic expressions; solving quadratic equations by factorising; applying the null factor law.

Recommended learning path

  1. 1The Quadratic Formula and the Discriminant
  2. 2Year 11 Factorising and Solving Quadratics Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 11 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

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    The Quadratic Formula and the Discriminant

    An HSC/VCE-style study guide to solving any quadratic equation with the quadratic formula and using the discriminant to predict how many…

    Difficulty
    Level 2 · Standard
    Time
    25 min

Common questions

What do Year 11 students learn about quadratics?

Expanding, factorising and solving quadratic equations. At Year 11, our resources focus on: solving quadratic equations with the quadratic formula, including exact surd form; calculating the discriminant and interpreting its sign; finding unknown coefficients so that an equation has equal, distinct or no real roots; linking the discriminant to the number of x-intercepts of a parabola.

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.

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