plumiInvariant points and lines: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 3.5 Invariant points and lines, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 5 questions on Invariant points and lines, as a list
- June 2025, Pure Core 2, Q3 (9 marks): J N J N 1 3 3 3 - = - - KKK OOO and B KKK OOO. 3 Matrices A and B are given by A = 4 8 1 2 L P L P (a) Find the matrix AB. [1] (b) Verify that det ( AB ) det (
- June 2022, AS Pure Core, Q6 (11 marks): J N 5 12 1 KK OO. 6 The matrix A is given by A = 13 12 5 - L P You are given that A represents the transformation T which is a reflection in a certain straight
- November 2021, Pure Core 1, Q9 (5 marks): J N You are given that the matrix 2 1 KK OO represents a transformation T. 9 1 0 - L P (a) You are given that the line with equation y kx is invariant under T.
- November 2020, AS Pure Core, Q2 (10 marks): P, Q and T are three transformations in 2-D. P is a reflection in the x-axis. A is the matrix that represents P. (a) Write down the matrix A. [1] J N J N Q is a
- June 2018, AS Pure Core, Q8 (13 marks): The 2 # 2 matrix A represents a transformation T which has the following properties. • The image of the point (0, 1) is the point (3, 4). • An object shape whos
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.