plumiTransformations with matrices: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 3.3 Transformations with matrices, 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 10 questions on Transformations with matrices, as a list
- June 2025, Core Pure 2, Q3 (12 marks): Given A 1 5 0 2 (a) prove by mathematical induction that, for n ∈ An n n 1 5 2 1 0 2 (6) Given B 1 0 0 1 (b) describe fully the singl
- June 2025, AS Core Pure, Q4 (10 marks): (i) 2 0 0 1 P (a) Describe fully the single geometrical transformation P represented by the matrix P. (2) (b) State the equation of one invariant line und
- June 2024, AS Core Pure, Q2 (10 marks): With respect to the right-hand rule, a rotation through θ° anticlockwise about the z-axis is represented by the matrix cos sin 0 sin cos 0 0 0 1 θ θ θ
- June 2023, AS Core Pure, Q3 (4 marks): A 0 3 2 1 2 0 1 2 3 2 (a) Describe fully the single geometric transformation A represented by the matrix A. (2) B 1 3 0 3 0 5
- June 2023, AS Core Pure, Q9 (9 marks): (i) P k k k k 3 2 5 7 2 4 where is a constant Show that P is non-singular for all real values of k. (4) (ii) Q 2 1 3 0 The matrix Q represe
- June 2022, Core Pure 2, Q3 (11 marks): M = 3 0 1 a where a is a constant (a) Prove by mathematical induction that, for n ∈ M n = 3 2 3 1 0 1 n n a ( ) − (6) Triangle T has
- June 2022, AS Core Pure, Q3 (8 marks): With respect to the right-hand rule, a rotation through θ° anticlockwise about the y-axis is represented by the matrix cos 0 sin 0 1 0 sin 0 cos θ θ θ θ
- November 2021, Core Pure 1, Q1 (6 marks): The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlock
- November 2020, AS Core Pure, Q6 (16 marks): (i) A = − 2 4 a a b where a and b are non-zero constants. Given that the matrix A is self-inverse, (a) determine the value of b and the possible value
- June 2018, AS Core Pure, Q5 (10 marks): A = − − − 1 2 3 2 3 2 1 2 (a) Describe fully the single geometrical transformation U represented by the matrix A. (3) The transformation V
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