GCSE Maths
GCSE Maths Completing the Square Exam Questions
Free GCSE Maths exam questions on Completing the Square, with full model answers. Covers writing quadratics in completed square form and using it.
Completing the Square 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 Completing the Square
Completing the Square 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, 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
- Form x² + bx + c = (x + b/2)² − (b/2)² + c.
- Turning point (−b/2, c − (b/2)²).
- Solving Use the form to solve.
Common mistakes in Completing the Square
- Wrong sign inside the bracket.
- Not subtracting the square.
Try two Completing the Square exam-style questions
1. Write x² + 6x + 2 in the form (x + a)² + b. (2 marks)
Show the mark scheme answer
(x + 3)² − 7
2. State the turning point. (1 mark)
Show the mark scheme answer
(−3, −7)
Completing the Square FAQs
Which exam boards include Completing the Square?
These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is Completing the Square in GCSE Maths?
It is a Grade 8/9+ topic, so it mostly appears on Higher tier papers.
How should I use these Completing the Square questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
