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AlgebraLow Exam FrequencyAQAEdexcelOCRWJEC

Quadratic Inequalities

Revise Quadratic Inequalities in Algebra for GCSE Mathematics with 10 exam-style questions and 2 flashcards. This topic appears less often, but it can still pick up marks when it appears in mixed-topic papers.

Study this topic

1

Above or Below the Curve?

Introduction2

Method

Deep Dive3

Key Patterns

Key Facts4

Worked Example

Notes

Sample Flashcards

Quadratic Inequalities
Sketch graph, identify where curve is above/below x-axis
Quadratic Inequality Pattern
For U-shape: > 0 = outside roots (x < a or x > b), < 0 = between roots (a < x < b)

Sample Questions

For a positive (U-shaped) parabola with roots at x = 2 and x = 5, the expression is negative (below the x-axis) for which values of x?

  • A. x < 2 or x > 5
  • B. 2 < x < 5
  • C. x < 2 and x > 5
  • D. All values of x
1 markfoundation

Explain what the solution set of x² + 2x + 5 > 0 is, justifying your answer using the discriminant.

2 marksstandard

10

exam-style questions

2

revision flashcards

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