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Vectors: WJEC A‑Level Maths questions

Every WJEC A-Level Maths exam question on P.10 Vectors, 2018–2025, with its mark scheme and examiner’s report.

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314 questions

  1. Q14

    Summer 2025 · AS Unit 1

    4 marksP.10 Vectors
    The whole paper ↗
    Summer 2025 AS Unit 1, question 14: 14. The position vectors of the points A and C, relative to a fixed origin O, are given by a = (3i + 4j) and c = (–5i + 12j) respectively. The point B is such t

  2. Q13

    Summer 2024 · AS Unit 1

    8 marksP.10 Vectors
    The whole paper ↗
    Summer 2024 AS Unit 1, question 13: 13. The position vectors of the points A and B, relative to a fixed origin O, are given by b  i 3 j, a 4 i 7 j,   respectively. (a) Find the vector AB. [2]

  3. Q12

    Summer 2023 · AS Unit 1

    8 marksP.10 VectorsP.5 Trigonometry
    The whole paper ↗
    Summer 2023 AS Unit 1, question 12: 2 The position vectors of the points A and B, relative to a fixed origin O, are given by a = –3i + 4j, b = 5i + 8j, respectively. a) Find the vector AB. [2] Fin

  4. Q16

    Summer 2022 · AS Unit 1

    9 marksP.10 Vectors
    The whole paper ↗
    Summer 2022 AS Unit 1, question 16: 6 The vectors a and b are defined by a = 2i – j and b = i – 3j. a) Find a unit vector in the direction of a. [2] b) Determine the angle b makes with the x-axis.

  5. Q6

    Summer 2019 · AS Unit 1

    5 marksP.10 Vectors
    The whole paper ↗
    Summer 2019 AS Unit 1, question 6: OABC is a parallelogram with O as origin. 0 6 B E D C A O The position vector of A is a and the position vector of C is c. The midpoint of AB is D. The point E

  6. Q11

    Summer 2018 · AS Unit 1

    6 marksP.10 VectorsP.2 Algebra and functions
    The whole paper ↗
    Summer 2018 AS Unit 1, question 11: 1 a) The vectors u and v are defined by u = 9i – 40j and v = 3i – 4j. Determine the range of values for μ such that μ | v | > | u |. [3] b) The point A has posi
All 6 questions on Vectors, as a list
  1. Summer 2025, AS Unit 1, Q14 (4 marks): 14. The position vectors of the points A and C, relative to a fixed origin O, are given by a = (3i + 4j) and c = (–5i + 12j) respectively. The point B is such t
  2. Summer 2024, AS Unit 1, Q13 (8 marks): 13. The position vectors of the points A and B, relative to a fixed origin O, are given by b  i 3 j, a 4 i 7 j,   respectively. (a) Find the vector AB. [2]
  3. Summer 2023, AS Unit 1, Q12 (8 marks): 2 The position vectors of the points A and B, relative to a fixed origin O, are given by a = –3i + 4j, b = 5i + 8j, respectively. a) Find the vector AB. [2] Fin
  4. Summer 2022, AS Unit 1, Q16 (9 marks): 6 The vectors a and b are defined by a = 2i – j and b = i – 3j. a) Find a unit vector in the direction of a. [2] b) Determine the angle b makes with the x-axis.
  5. Summer 2019, AS Unit 1, Q6 (5 marks): OABC is a parallelogram with O as origin. 0 6 B E D C A O The position vector of A is a and the position vector of C is c. The midpoint of AB is D. The point E
  6. Summer 2018, AS Unit 1, Q11 (6 marks): 1 a) The vectors u and v are defined by u = 9i – 40j and v = 3i – 4j. Determine the range of values for μ such that μ | v | > | u |. [3] b) The point A has posi

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