A Level Maths
A Level Maths Equations and Inequalities Exam Questions
Free A Level Maths exam questions on Equations and Inequalities, with full model answers. Covers quadratic equations, discriminant, simultaneous equations, polynomial equations, linear & quadratic inequalities.
Equations and Inequalities exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About A Level Maths Equations and Inequalities
Equations and Inequalities is part of Pure Maths in A Level Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.
What you need to know
- Discriminant b² − 4ac decides the number of real roots.
- Simultaneous equations Substitute a linear into a quadratic.
- Inequalities Sketch to solve quadratic inequalities; use set notation.
Common mistakes in Equations and Inequalities
- Losing a region in quadratic inequalities.
- Wrong discriminant condition for tangency.
Try two Equations and Inequalities exam-style questions
1. Find k so that x² + kx + 9 = 0 has equal roots. (2 marks)
Show the mark scheme answer
k = ±6
2. Solve x² − x − 6 > 0. (2 marks)
Show the mark scheme answer
x < −2 or x > 3
Equations and Inequalities FAQs
Which exam boards include Equations and Inequalities?
These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths.
Is Equations and Inequalities pure, mechanics or statistics?
Equations and Inequalities is part of Pure Maths.
How should I use these Equations and Inequalities questions?
Answer every question without notes, then check each line against the model answers and redo any you got wrong.
