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Multiplying matrices: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 5.1 Multiplying matrices, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q2

    June 2025 · Paper 1

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  2. Q7

    June 2024 · Paper 1

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  3. Q5

    June 2024 · Paper 2

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  4. Q3

    June 2023 · Paper 1

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  5. Q3

    June 2023 · Paper 2

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  6. Q8

    June 2022 · Paper 1

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  7. Q3

    June 2022 · Paper 2

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  8. Q11

    November 2021 · Paper 1

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  9. Q14

    November 2021 · Paper 2

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  10. Q6

    Specimen · Paper 2

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All 10 questions on Multiplying matrices, as a list
  1. June 2025, Paper 1, Q2 (2 marks): = 15 Work out the values of a and b.     −   5 0 1 6       12 7 a b    a = b =
  2. June 2024, Paper 1, Q7 (3 marks): A point P (x, y) is transformed using the transformation represented by –       4 0 2 3 The image of P is (–8, 7) Work out the values of x and y. x = y =
  3. June 2024, Paper 2, Q5 (4 marks): (a) c d       1 5 3 –       2 0 7 3 = –       5 3 0 9 Work out the values of c and d. c = d = 5 (b)       5 2 1 4 M =       5 2 1
  4. June 2023, Paper 1, Q3 (3 marks): (a) Circle the transformation matrix that represents a reflection in the line y = –x 0 1 1 0 −     −   0 1 1 0       0 1 1 0     −   0 1 1 0 −
  5. June 2023, Paper 2, Q3 (2 marks): 3 5 2 u       1 4    = 6 t    Work out the values of t and u. t = u =
  6. June 2022, Paper 1, Q8 (3 marks): Use matrix multiplication to show that, in the x-y plane, • a rotation, 90° anticlockwise about the origin, followed by • a reflection in the line y = x is equi
  7. June 2022, Paper 2, Q3 (6 marks): (a) Work out 3       0 1 2 4       − 5 1 0 2 Give your answer as a single matrix. Answer 3 (b)       −5 7 2 b a       a 2 =  
  8. November 2021, Paper 1, Q11 (4 marks):       2 1 0 3 a b       0 0.4 = k I where k is a constant and I is the identity matrix. Work out the values of a and b. Answer a = b =
  9. November 2021, Paper 2, Q14 (3 marks): (a) A = –       1 0 0 1 Describe geometrically the single transformation represented by A. Answer 14 (b) B = –       0 1 1 0 Describe geometrically
  10. Specimen, Paper 2, Q6 (4 marks): A =       − − 2 7 1 4 B =       −5 s C =      − t 1 D =       u 7 1 2 s, t and u are constants. 6 (a) AB = C Work out the values

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