GCSE Maths
GCSE Maths Quadratic Simultaneous Equations Exam Questions
Free GCSE Maths exam questions on Quadratic Simultaneous Equations, with full model answers. Covers solving a linear and a quadratic equation simultaneously.
Quadratic Simultaneous Equations 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 GCSE Maths Quadratic Simultaneous Equations
Quadratic Simultaneous Equations is a Grade 8/9+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, CCEA GCSE, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.
What you need to know
- Substitute Rearrange the linear equation and substitute.
- Solve Solve the resulting quadratic.
- Pairs Give matching x and y values.
Common mistakes in Quadratic Simultaneous Equations
- Not pairing solutions.
- Squaring brackets wrongly.
Try two Quadratic Simultaneous Equations exam-style questions
1. Solve y = x + 1 and x² + y² = 13. (4 marks)
Show the mark scheme answer
x = 2, y = 3 or x = −3, y = −2
2. How many intersections can a line and circle have? (1 mark)
Show the mark scheme answer
0, 1 or 2
Quadratic Simultaneous Equations FAQs
Which exam boards include Quadratic Simultaneous Equations?
These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, CCEA GCSE, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is Quadratic Simultaneous Equations in GCSE Maths?
It is a Grade 8/9+ topic, so it mostly appears on Higher tier papers.
How should I use these Quadratic Simultaneous Equations questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
