PrepWisePrepWiseMathematics
AlgebraMedium Exam FrequencyAQAEdexcelOCRWJEC

Quadratic Expressions

Revise Quadratic Expressions in Algebra for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

Study this topic

1

Building Mathematical Recipes

Introduction2

Key Facts About Quadratic Expressions

Key Facts3

The FOIL Method for Expanding

Deep Dive4

The Two Numbers Method for Factorising

Deep Dive5

Worked Examples

Notes6

Special Cases and Patterns

Deep Dive7

Common Mistakes to Avoid

Exam Tips8

Knowledge Organiser: Quadratic Expressions

Summary

Sample Flashcards

Expand (x + 2)(x + 5)
x² + 5x + 2x + 10 = x² + 7x + 10 (Using FOIL: First + Outer + Inner + Last)
Expand (x + 6)(x - 4)
x² - 4x + 6x - 24 = x² + 2x - 24 (Be careful with negative signs!)

Exam questions for Quadratic Expressions

Expand (x + 5)².

  • A. x² + 25
  • B. x² + 5x + 25
  • C. x² + 10x + 25
  • D. x² + 10x + 5
1 markfoundation

Explain how to recognise whether x² + 12x + 36 is a perfect square trinomial, and write it in factorised form.

2 markshigher

Want more? See all GCSE Mathematics exam questions by paper with full model answers and mark schemes.

12

exam-style questions

22

revision flashcards

Ready to revise Quadratic Expressions?

Get personalised daily study plans, adaptive quizzes, and spaced repetition flashcards.

Start revising free

Previous topic

Quadratic Sequences

Next topic

Solving Quadratics