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Vectors in two dimensions: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on J.1 Vectors in two dimensions, 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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426 questions

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  3. Q12

    November 2021 · Paper 2

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  5. Q12

    November 2020 · Paper 2

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  6. Q15

    June 2019 · Paper 2

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All 6 questions on Vectors in two dimensions, as a list
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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

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