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Vectors: AQA A‑Level Maths questions

Every AQA A-Level Maths exam question on J Vectors, 2018–2025, with its mark scheme and examiner’s report.

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426 questions

  1. Q17

    June 2025 · Paper 2

    7 marksJ Vectors
    The whole paper ↗
    June 2025 Paper 2, question 17: A triangle has vertices A, B and C with position vectors given by OA = –3 5 1 , OB = 5 4 –2 and OC = 1 –1 0 17 (a) (i) Find AB [1 mark] 17 (a) (ii) Find the mag
  2. Q20

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 20: Two particles P and Q are moving in separate straight lines across a smooth horizontal surface. P moves with constant velocity (3i + 4j) m s–1 Q moves from posi
  3. Q18

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 18: In this question i and j are perpendicular unit vectors representing due east and due north respectively. A particle, T, is moving on a plane at a constant spee
  4. Q16

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 16: Two particles, P and Q, move in the same horizontal plane. Particle P is initially at rest at the point with position vector (−4i + 5j) metres and moves with co
  5. Q12

    November 2021 · Paper 2

    1 markJ Vectors
    The whole paper ↗
    November 2021 Paper 2, question 12: A particle has a speed of 6 m s−1 in a direction relative to unit vectors i and j as shown in the diagram below. 30° 6 m s –1 i j The velocity of this particle
  6. Q19

    November 2021 · Paper 2

    The whole paper ↗
    November 2021 Paper 2, question 19: Two skaters, Jo and Amba, are separately skating across a smooth, horizontal surface of ice. Both are moving in the same direction, so that their paths are stra
  7. Q12

    November 2020 · Paper 2

    1 markJ Vectors
    The whole paper ↗
    November 2020 Paper 2, question 12: A particle, P, is moving with constant velocity 8i − 12j A second particle, Q, is moving with constant velocity ai + 9j Q travels in a direction which is parall
  8. Q15

    June 2019 · Paper 2

    9 marksJ Vectors
    The whole paper ↗
    June 2019 Paper 2, question 15: Four buoys on the surface of a large, calm lake are located at A, B, C and D with position vectors given by OA ! = 410 710 , OB ! = −210 530 , OC ! = −340 −310
  9. Q14

    June 2018 · Paper 2

    6 marksJ Vectors
    The whole paper ↗
    June 2018 Paper 2, question 14: A quadrilateral has vertices A, B, C and D with position vectors given by OA ! = 3 5 1 2 64 3 75, OB ! = −1 2 7 2 64 3 75, OC ! = 0 7 6 2 64 3 75 and OD ! = 4 1
All 9 questions on Vectors, as a list
  1. June 2025, Paper 2, Q17 (7 marks): A triangle has vertices A, B and C with position vectors given by OA = –3 5 1 , OB = 5 4 –2 and OC = 1 –1 0 17 (a) (i) Find AB [1 mark] 17 (a) (ii) Find the mag
  2. June 2024, Paper 2, Q20 (9 marks): Two particles P and Q are moving in separate straight lines across a smooth horizontal surface. P moves with constant velocity (3i + 4j) m s–1 Q moves from posi
  3. June 2023, Paper 2, Q18 (6 marks): In this question i and j are perpendicular unit vectors representing due east and due north respectively. A particle, T, is moving on a plane at a constant spee
  4. June 2022, Paper 2, Q16 (8 marks): Two particles, P and Q, move in the same horizontal plane. Particle P is initially at rest at the point with position vector (−4i + 5j) metres and moves with co
  5. November 2021, Paper 2, Q12 (1 mark): A particle has a speed of 6 m s−1 in a direction relative to unit vectors i and j as shown in the diagram below. 30° 6 m s –1 i j The velocity of this particle
  6. November 2021, Paper 2, Q19 (10 marks): Two skaters, Jo and Amba, are separately skating across a smooth, horizontal surface of ice. Both are moving in the same direction, so that their paths are stra
  7. November 2020, Paper 2, Q12 (1 mark): A particle, P, is moving with constant velocity 8i − 12j A second particle, Q, is moving with constant velocity ai + 9j Q travels in a direction which is parall
  8. June 2019, Paper 2, Q15 (9 marks): Four buoys on the surface of a large, calm lake are located at A, B, C and D with position vectors given by OA ! = 410 710 , OB ! = −210 530 , OC ! = −340 −310
  9. June 2018, Paper 2, Q14 (6 marks): A quadrilateral has vertices A, B, C and D with position vectors given by OA ! = 3 5 1 2 64 3 75, OB ! = −1 2 7 2 64 3 75, OC ! = 0 7 6 2 64 3 75 and OD ! = 4 1

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