GCSE Maths
GCSE Maths Perpendicular Lines and the Equation of a Tangent Exam Questions
Free GCSE Maths exam questions on Perpendicular Lines and the Equation of a Tangent, with full model answers. Covers equation of a tangent to a circle.
Perpendicular Lines and the Equation of a Tangent 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 Perpendicular Lines and the Equation of a Tangent
Perpendicular Lines and the Equation of a Tangent 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 and CCEA GCSE. 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
- Radius gradient From the centre to the point.
- Tangent gradient Negative reciprocal.
- Equation Use y − y₁ = m(x − x₁).
Common mistakes in Perpendicular Lines and the Equation of a Tangent
- Using the radius gradient.
- Arithmetic errors.
Try two Perpendicular Lines and the Equation of a Tangent exam-style questions
1. Find the tangent to x² + y² = 25 at (3, 4). (3 marks)
Show the mark scheme answer
y = −¾x + 25/4
2. What is the gradient of the radius to (3, 4)? (1 mark)
Show the mark scheme answer
4/3
Perpendicular Lines and the Equation of a Tangent FAQs
Which exam boards include Perpendicular Lines and the Equation of a Tangent?
These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE and CCEA GCSE.
What grade is Perpendicular Lines and the Equation of a Tangent in GCSE Maths?
It is a Grade 8/9+ topic, so it mostly appears on Higher tier papers.
How should I use these Perpendicular Lines and the Equation of a Tangent questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
