plumiSuccessive transformations: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 3.4 Successive transformations, 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.
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All 7 questions on Successive transformations, as a list
- June 2025, AS Pure Core, Q4 (6 marks): Two transformations, TA and TB, are represented by matrices A and B respectively. J N 0 1 KK OO. The matrix A is given by A = 1 0 L P (a) (i) Describe the trans
- June 2024, AS Pure Core, Q8 (10 marks): Three transformations, TA, TB and TC, are represented by the matrices A, B and C respectively. J N J N 1 0 1 0 KK OO and B KK OO. You are given that A = = 2 3 0
- June 2023, Pure Core 1, Q4 (11 marks): The transformations TA and TB are represented by the matrices A and B respectively, where J N J N 0 1 0 1 - KK OO and B KK OO. A = = 1 0 1 0 L P L P (a) Describ
- November 2021, Pure Core 2, Q6 (6 marks): In this question you must show detailed reasoning. J N 1 2 KK OO. The matrix A is given by A = 0 1 L P (a) Define the transformation represented by A. [1] (b) S
- November 2021, AS Pure Core, Q5 (8 marks): J N K O - 1 0 = - 13 13 KK OO and B K O 5 Matrices A and B are given by A . = 12 5 0 1 KK OO L P 13 13 L P (a) Use A and B to disprove the proposition: “Matrix
- November 2020, Pure Core 2, Q7 (6 marks): 6 . 2 4 . KK OO. 7 The matrix A is given by A = - 0 8 . 1 8 . L P (a) Find det A. [1] The matrix A represents a stretch parallel to one of the coordinate axes f
- 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
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