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Resolving forces and inclined planes: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 8.3 Resolving forces and inclined planes, 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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560 questions

  1. Q14

    June 2025 · Paper 1

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  2. Q3

    June 2024 · Paper 1

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  3. Q13

    June 2023 · Paper 1

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  4. Q5

    June 2022 · Paper 1

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  6. Q12

    November 2021 · Paper 1

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  7. Q15

    November 2020 · Paper 1

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  8. Q13

    June 2019 · Paper 1

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  9. Q16

    June 2019 · Paper 1

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  10. Q11

    June 2018 · Paper 1

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All 10 questions on Resolving forces and inclined planes, as a list
  1. June 2025, Paper 1, Q14 (15 marks): In this question the i and j vectors are horizontal and vertically upward respectively. A particle of mass 5 kg is at rest on a rough horizontal shelf. The coef
  2. June 2024, Paper 1, Q3 (5 marks): A particle hangs at the end of a string. A horizontal force of magnitude F N acting on the particle holds it in equilibrium so that the string makes an angle of
  3. June 2023, Paper 1, Q13 (12 marks): A block of mass 8 kg is placed on a rough plane inclined at 15° to the horizontal. The coefficient of friction between the block and the plane is 0.3. One end o
  4. June 2022, Paper 1, Q5 (5 marks): A sphere of mass 3 kg hangs on a string. A horizontal force of magnitude F N acts on the sphere so that it hangs in equilibrium with the string making an angle
  5. June 2022, Paper 1, Q13 (12 marks): A toy train consists of an engine of mass 0.5 kg pulling a coach of mass 0.4 kg. The coupling between the engine and the coach is light and inextensible. The tr
  6. November 2021, Paper 1, Q12 (7 marks): A box of mass m kg slides down a rough slope inclined at 15° to the horizontal. The coefficient of friction between the box and the slope is 0.4. The box has an
  7. November 2020, Paper 1, Q15 (9 marks): Fig. 15 shows a particle of mass m kg on a smooth plane inclined at 30° to the horizontal. Unit vectors i and j are parallel and perpendicular to the plane, in
  8. June 2019, Paper 1, Q13 (5 marks): A 15 kg box is suspended in the air by a rope which makes an angle of 30° with the vertical. The box is held in place by a string which is horizontal. (a) Draw
  9. June 2019, Paper 1, Q16 (14 marks): A particle of mass 2 kg slides down a plane inclined at 20° to the horizontal. The particle has an initial velocity of .1 4ms 1 - down the plane. Two models for
  10. June 2018, Paper 1, Q11 (7 marks): Fig. 11 shows two blocks at rest, connected by a light inextensible string which passes over a smooth pulley. Block A of mass 4.7 kg rests on a smooth plane inc

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