Lesson 1.10g

1.10g Using vectors to solve problems Quiz: OCR Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson 1.10g, Using vectors to solve problems: 20 multiple choice questions for the OCR Maths (H240), Unit 10: Vectors, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. Two forces of 3 N and 4 N act at right angles on a particle. What is the magnitude of the resultant?

    • 5 N
    • 7 N
    • sqrt(7) N
    • 1 N

  2. Which scalar quantity is equal to the magnitude of velocity?

    • Displacement
    • Speed
    • Acceleration
    • Distance

  3. In the vector equation v = u + at, which variable is a scalar?

    • a
    • t
    • u
    • v

  4. If a particle is in equilibrium under coplanar forces, what is the resultant force vector?

    • Constant scalar
    • Zero vector
    • Position vector
    • Unit vector

  5. Speed is the magnitude of which vector quantity?

    • Velocity
    • Acceleration
    • Displacement
    • Momentum

  6. If vector AB is a scalar multiple of vector BC, how are points A, B, and C described?

    • Coplanar
    • Orthogonal
    • Perpendicular
    • Collinear

  7. What is defined as the rate of change of the velocity vector with respect to time?

    • Position
    • Displacement
    • Acceleration
    • Speed

  8. For a particle with initial velocity u = (2, 3) and acceleration a = (1, -1), what is the velocity v after 2 seconds?

    • (3, 2)
    • (2, 1)
    • (4, 1)
    • (4, 5)

  9. Forces 3i + 4j and -i + 2j act on a particle. What is the magnitude of the resultant?

    • 2 sqrt(10) N
    • sqrt(20) N
    • 8 N
    • 4 sqrt(2) N

  10. Three coplanar forces (3, -2), (-1, 5) and F are in equilibrium. What is F?

    • (-2, -3)
    • (-2, 3)
    • (2, 3)
    • (4, -7)

  11. A particle has position r = (2t + 1)i + (3 - t)j. At what time does it cross the x-axis?

    • t = -3
    • t = 1
    • t = 3
    • t = 2

  12. If vector AC equals 3 times vector AB, what is the geometric relationship between points A, B, and C?

    • Perpendicular
    • Collinear
    • Orthogonal
    • Equidistant

  13. A particle moves from the origin with constant velocity (3, 4) m/s. What is its position after 10 s?

    • (3, 4) m
    • (13, 14) m
    • (300, 400) m
    • (30, 40) m

  14. A particle has velocity (3, 4) m/s. What is its speed?

    • sqrt(7) m/s
    • 12 m/s
    • 7 m/s
    • 5 m/s

  15. A force of 6 N acts east and a force of 8 N acts north on a particle. What is the magnitude of the resultant?

    • 10 N
    • 14 N
    • sqrt(14) N
    • 2 N

  16. The vector a = (x, 2) is parallel to b = (3, 6) with a = lambda b. What is x?

    • x = 3
    • x = 2/3
    • x = 6
    • x = 1

  17. A particle has constant acceleration (0, -10) m/s^2 and starts from rest at the origin. What is its position after 2 s?

    • (0, -40) m
    • (0, -10) m
    • (0, 20) m
    • (0, -20) m

  18. Particle P starts at the origin with velocity (2, 0) and particle Q starts at (10, 0) with velocity (-3, 0). At what time do they meet?

    • t = 2 s
    • t = 5 s
    • t = 10/3 s
    • t = 1.5 s

  19. Three forces (2, 1), (-3, 4) and (1, -6) N act on a particle. What is the resultant?

    • (-6, 11) N
    • (0, -1) N
    • (0, 1) N
    • (6, -1) N

  20. A particle in equilibrium is acted on by forces (4, -3) N, (-1, 2) N and F. What is F?

    • (3, -1) N
    • (7, -5) N
    • (-3, -1) N
    • (-3, 1) N

All OCR Maths quizzes