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Collisions: OCR A‑Level Further Maths questions

Every OCR A-Level Further Maths exam question on FM.4 Collisions, 2018–2025, with its mark scheme and examiner’s report.

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648 questions

  1. Q4

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 4: Two particles, P of mass 2 kg and Q of mass 0.5 kg, are moving on a smooth horizontal surface. s 1 Particle P is moving with speed . m 1 5 - directly towards a
  2. Q4

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 4: Two particles, A of mass 4 kg and B of mass 2 kg, are free to move along the same straight line on a smooth horizontal surface. They are projected directly towa
  3. Q1

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 1: A particle P of mass 12.5 kg is moving on a smooth horizontal plane when it collides obliquely with a fixed vertical wall. - . 1 At the instant before the colli
  4. Q6

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 6: Two identical spheres, A and B, each of mass m kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  5. Q1

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 1: 1 A particle P of mass 2.5 kg is moving with a constant speed of m s 4 - in a straight line on a smooth horizontal plane when it collides directly with a fixed
  6. Q5

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 5: Two particles, A of mass mA kg and B of mass 5 kg, are moving directly towards each other on a 1 1 smooth horizontal floor. Before they collide they have speeds
  7. Q3

    June 2023 · Mechanics

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    June 2023 Mechanics, question 3: Two smooth circular discs A and B are moving on a smooth horizontal plane when they collide. The mass of A is 5 kg and the mass of B is 3 kg. At the instant bef
  8. Q5

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 5: Two identical spheres, A and B, each of mass 4 kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  9. Q8

    June 2022 · Mechanics

    The whole paper ↗
    June 2022 Mechanics, question 8: Two smooth circular discs, A and B, have equal radii and are free to move on a smooth horizontal plane. The masses of A and B are 1 kg and m kg respectively. B
  10. Q1

    June 2022 · AS Mechanics

    The whole paper ↗
    June 2022 AS Mechanics, question 1: Two stones, A and B, are sliding along the same straight line on a horizontal sheet of ice. 1 Stone A, of mass 50 kg, is moving with a constant velocity of . ms
  11. Q7

    June 2022 · AS Mechanics

    The whole paper ↗
    June 2022 AS Mechanics, question 7: Two particles, P and Q, are on a smooth horizontal floor. P, of mass 1 kg, is moving with speed 1 1 79 . ms - directly towards a vertical wall. Q, of mass 2.74
  12. Q2

    November 2021 · Mechanics

    The whole paper ↗
    November 2021 Mechanics, question 2: A particle P of mass 2 kg is moving on a large smooth horizontal plane when it collides with a fixed 1 smooth vertical wall. Before the collision its velocity i
  13. Q7

    November 2021 · Mechanics

    The whole paper ↗
    November 2021 Mechanics, question 7: Two smooth circular discs A and B of masses mA kg and mB kg respectively are moving on a horizontal plane. At the instant before they collide the velocities of
  14. Q3

    November 2021 · AS Mechanics

    The whole paper ↗
    November 2021 AS Mechanics, question 3: - on a smooth horizontal surface 1 3 A particle A of mass 0.5 kg is moving with a speed of . 3 15 ms when it collides directly with a particle B of mass 0.8 kg
  15. Q6

    November 2020 · Mechanics

    The whole paper ↗
    November 2020 Mechanics, question 6: Two smooth circular discs A and B are moving on a horizontal plane. The masses of A and B are 3 kg and 4 kg respectively. At the instant before they collide • t
  16. Q2

    November 2020 · AS Mechanics

    The whole paper ↗
    November 2020 AS Mechanics, question 2: A particle P of mass 4.5 kg is moving in a straight line on a smooth horizontal surface at a speed of - . .2 4ms 1 - when it strikes a vertical wall directly. I
  17. Q6

    November 2020 · AS Mechanics

    The whole paper ↗
    November 2020 AS Mechanics, question 6: Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 3.3 kg, 2.2 kg and 1 kg respectivel
  18. Q6

    June 2019 · AS Mechanics

    The whole paper ↗
    June 2019 AS Mechanics, question 6: Particles A of mass 2m and B of mass m are on a smooth horizontal floor. A is moving with speed u directly towards a vertical wall, and B is at rest between A a
  19. Q4

    June 2018 · AS Mechanics

    The whole paper ↗
    June 2018 AS Mechanics, question 4: 4.0ms–1 1.2kg 1.8kg mkg A B C Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 1.2 k
All 19 questions on Collisions, as a list
  1. June 2025, Mechanics, Q4 (6 marks): Two particles, P of mass 2 kg and Q of mass 0.5 kg, are moving on a smooth horizontal surface. s 1 Particle P is moving with speed . m 1 5 - directly towards a
  2. June 2025, AS Mechanics, Q4 (7 marks): Two particles, A of mass 4 kg and B of mass 2 kg, are free to move along the same straight line on a smooth horizontal surface. They are projected directly towa
  3. June 2024, Mechanics, Q1 (8 marks): A particle P of mass 12.5 kg is moving on a smooth horizontal plane when it collides obliquely with a fixed vertical wall. - . 1 At the instant before the colli
  4. June 2024, Mechanics, Q6 (12 marks): Two identical spheres, A and B, each of mass m kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  5. June 2024, AS Mechanics, Q1 (6 marks): 1 A particle P of mass 2.5 kg is moving with a constant speed of m s 4 - in a straight line on a smooth horizontal plane when it collides directly with a fixed
  6. June 2024, AS Mechanics, Q5 (14 marks): Two particles, A of mass mA kg and B of mass 5 kg, are moving directly towards each other on a 1 1 smooth horizontal floor. Before they collide they have speeds
  7. June 2023, Mechanics, Q3 (7 marks): Two smooth circular discs A and B are moving on a smooth horizontal plane when they collide. The mass of A is 5 kg and the mass of B is 3 kg. At the instant bef
  8. June 2023, AS Mechanics, Q5 (14 marks): Two identical spheres, A and B, each of mass 4 kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  9. June 2022, Mechanics, Q8 (13 marks): Two smooth circular discs, A and B, have equal radii and are free to move on a smooth horizontal plane. The masses of A and B are 1 kg and m kg respectively. B
  10. June 2022, AS Mechanics, Q1 (8 marks): Two stones, A and B, are sliding along the same straight line on a horizontal sheet of ice. 1 Stone A, of mass 50 kg, is moving with a constant velocity of . ms
  11. June 2022, AS Mechanics, Q7 (12 marks): Two particles, P and Q, are on a smooth horizontal floor. P, of mass 1 kg, is moving with speed 1 1 79 . ms - directly towards a vertical wall. Q, of mass 2.74
  12. November 2021, Mechanics, Q2 (9 marks): A particle P of mass 2 kg is moving on a large smooth horizontal plane when it collides with a fixed 1 smooth vertical wall. Before the collision its velocity i
  13. November 2021, Mechanics, Q7 (10 marks): Two smooth circular discs A and B of masses mA kg and mB kg respectively are moving on a horizontal plane. At the instant before they collide the velocities of
  14. November 2021, AS Mechanics, Q3 (13 marks): - on a smooth horizontal surface 1 3 A particle A of mass 0.5 kg is moving with a speed of . 3 15 ms when it collides directly with a particle B of mass 0.8 kg
  15. November 2020, Mechanics, Q6 (12 marks): Two smooth circular discs A and B are moving on a horizontal plane. The masses of A and B are 3 kg and 4 kg respectively. At the instant before they collide • t
  16. November 2020, AS Mechanics, Q2 (7 marks): A particle P of mass 4.5 kg is moving in a straight line on a smooth horizontal surface at a speed of - . .2 4ms 1 - when it strikes a vertical wall directly. I
  17. November 2020, AS Mechanics, Q6 (12 marks): Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 3.3 kg, 2.2 kg and 1 kg respectivel
  18. June 2019, AS Mechanics, Q6 (11 marks): Particles A of mass 2m and B of mass m are on a smooth horizontal floor. A is moving with speed u directly towards a vertical wall, and B is at rest between A a
  19. June 2018, AS Mechanics, Q4 (11 marks): 4.0ms–1 1.2kg 1.8kg mkg A B C Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 1.2 k

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