AlgebraVery High Exam FrequencyAQAEdexcelOCRWJEC

Solving Quadratics

Revise Solving Quadratics in Algebra for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This is a very high-frequency exam topic, so it is worth revising until the core ideas feel automatic.

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Why Two Solutions?

Introduction 2

The Key Insight

Key Facts 3

Method: Step by Step

Deep Dive 4

Worked Example 1: Basic Quadratic

Notes 5

Worked Example 2: Negative Constant

Notes 6

Worked Example 3: Difference of Two Squares

Notes 7

Common Mistakes to Avoid

Exam Tips

Sample Flashcards

Solving Quadratics

Set equal to 0, factorise, each bracket = 0

How to factorise x² + bx + c

Find two numbers that: - Multiply to give c - Add to give b Then write as (x + p)(x + q)

Sample Questions

The equation x² + 5x + 10 = 0 has:

A. Two different real solutions
B. One repeated solution
C. No real solutions
D. Infinitely many solutions

1 markfoundation

A rectangle has length (x + 5) cm and width (x + 2) cm. The area of the rectangle is 40 cm². Form a quadratic equation and solve it to find the value of x.

3 marksstandard

exam-style questions

revision flashcards

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