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A-levelNumber and algebra

Quadratics and completing the square

Factorise, solve, complete the square, and interpret quadratic functions.

2 lessons59 worksheets228 questions

Lessons

These free MathLab Learn guides are arranged in the order they are most useful for this stage.

  1. 01Quadratic equations: factorisation, formula and completing the square
  2. 02Quadratic functions and equations

Practise

Practice moves from direct fluency towards application, reasoning and synthesis.

  1. Intro

    Factorising quadratics

    Step 1 · 1 worksheet · 12 questions

  2. IntroPractice

    Solving quadratic equations

    Step 2 · 15 worksheets · 104 questions

  3. Practice

    The discriminant and nature of roots

    Step 3 · 11 worksheets · 36 questions

  4. Practice

    Quadratic inequalities

    Step 4 · 8 worksheets · 36 questions

  5. Practice

    Quadratic substitutions and surd equations

    Step 5 · 7 worksheets · 21 questions

  6. PracticeChallenge

    Quadratic functions, graphs and intersections

    Step 6 · 10 worksheets · 12 questions

  7. Challenge

    Parameterised quadratics and synthesis

    Step 7 · 7 worksheets · 7 questions

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