plumiTransformations using matrices: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on FP1.6 Transformations using matrices, 2019–2025, with its mark scheme and examiner’s report.
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All 12 questions on Transformations using matrices, as a list
- June 2025, Further Pure 1 (FP1), Q2 (8 marks): P 0 1 1 0 The matrix P represents the transformation P. (a) Describe P fully as a single geometrical transformation. Q 5 0 0 5 The matrix Q represen
- January 2025, Further Pure 1 (FP1), Q7 (11 marks): (i) A 1 2 3 2 3 2 1 2 (a) Describe fully the single transformation represented by the matrix A. The matrix B represents a stretch scale fact
- June 2024, Further Pure 1 (FP1), Q6 (9 marks): (a) Prove by induction that for n ∈ + 1 0 2 1 2 1 0 2 r r n n n where r is a constant. M N 4 0 0 5 1 2 0 2 4 The transformation r
- January 2024, Further Pure 1 (FP1), Q4 (7 marks): A 1 0 0 3 (a) Describe the single geometrical transformation represented by the matrix A. The matrix B represents a rotation of 210° anticlockwise about ce
- June 2023, Further Pure 1 (FP1), Q4 (8 marks): (i) A = 3 3 8 k where k is a constant The transformation represented by A transforms triangle T to triangle T ′ The area of triangle T ′ is three times the
- January 2023, Further Pure 1 (FP1), Q7 (11 marks): (i) P 0 1 1 0 The matrix P represents a geometrical transformation U (a) Describe U fully as a single geometrical transformation. The transformation V, r
- June 2022, Further Pure 1 (FP1), Q7 (9 marks): A = − − − 3 2 1 2 1 2 3 2 (a) Determine the matrix A2 (b) Describe fully the single geometrical transformation represented by the matrix
- January 2022, Further Pure 1 (FP1), Q5 (8 marks): P = 1 2 3 2 3 2 1 2 − The matrix P represents the transformation U (a) Give a full description of U as a single geometrical transformation
- October 2021, Further Pure 1 (FP1), Q7 (9 marks): In part (i), the elements of each matrix should be expressed in exact numerical form. (i) (a) Write down the 2 × 2 matrix that represents a rotation of 210° ant
- June 2021, Further Pure 1 (FP1), Q3 (10 marks): The triangle T has vertices A(2, 1), B(2, 3) and C(0, 1). The triangle T ′ is the image of T under the transformation represented by the matrix P = −
- January 2021, Further Pure 1 (FP1), Q7 (9 marks): The matrix A is defined by A = − − 4 5 3 2 The transformation represented by A maps triangle T onto triangle T ʹ Given that the area of triangle T is
- October 2020, Further Pure 1 (FP1), Q6 (10 marks): (i) A = 1 0 0 3 (a) Describe fully the single transformation represented by the matrix A. The matrix B represents a rotation of 45° clockwise about th
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