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Connected particles and pulleys: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 8.2 Connected particles and pulleys, 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. Q6

    June 2025 · Paper 1

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  2. Q5

    June 2025 · AS Paper 1

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  3. Q2

    June 2024 · Paper 1

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  4. Q10

    June 2024 · AS Paper 1

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  5. Q13

    June 2023 · Paper 1

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  6. Q11

    June 2023 · AS Paper 1

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  8. Q9

    June 2022 · AS Paper 1

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  9. Q9

    November 2021 · Paper 1

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  10. Q10

    November 2021 · AS Paper 1

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  11. Q11

    November 2020 · Paper 1

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  12. Q6

    June 2019 · AS Paper 1

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  13. Q11

    June 2018 · Paper 1

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  14. Q4

    June 2018 · AS Paper 1

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All 14 questions on Connected particles and pulleys, as a list
  1. June 2025, Paper 1, Q6 (8 marks): 6 A car is travelling along a straight horizontal road. The car’s velocity ms v - at time t s is shown in the velocity-time graph below. The points (0, 3) and (
  2. June 2025, AS Paper 1, Q5 (4 marks): Two blocks A and B have masses 5 kg and 2 kg respectively. The blocks are joined together by a light rigid horizontal bar and slide across a horizontal surface.
  3. June 2024, Paper 1, Q2 (5 marks): A car of mass 1400 kg pulls a trailer of mass 400 kg along a straight horizontal road. The engine of the car produces a driving force of 6000 N. A resistance of
  4. June 2024, AS Paper 1, Q10 (8 marks): A boat pulls a water skier of mass 65 kg with a light inextensible horizontal towrope. The mass of the boat is 985 kg. There is a driving force of 2400 N acting
  5. 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
  6. June 2023, AS Paper 1, Q11 (7 marks): A block of mass 3 kg is at rest on a smooth horizontal table. It is attached to a light inextensible string which passes over a smooth pulley. This part of the
  7. 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
  8. June 2022, AS Paper 1, Q9 (6 marks): A tractor of mass 1800 kg uses a towbar to pull a trailer of mass 1000 kg on a level field. The tractor and trailer experience resistances to motion of 1600 N a
  9. November 2021, Paper 1, Q9 (8 marks): The diagram shows a toy caterpillar consisting of a head and three body sections each connected by a light inextensible ribbon. The head has a mass of 120 g and
  10. November 2021, AS Paper 1, Q10 (10 marks): A rescue worker is lowered from a helicopter on a rope. She attaches a second rope to herself and to a woman in difficulties on the ground. The helicopter winch
  11. November 2020, Paper 1, Q11 (11 marks): A block of mass 2 kg is placed on a rough horizontal table. A light inextensible string attached to the block passes over a smooth pulley attached to the edge o
  12. June 2019, AS Paper 1, Q6 (7 marks): Fig. 6 shows a train consisting of an engine of mass 80 tonnes pulling two trucks each of mass 25 tonnes. Truck B Truck A Engine Fig. 6 The engine exerts a driv
  13. 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
  14. June 2018, AS Paper 1, Q4 (4 marks): Fig. 4 shows a block of mass 4m kg and a particle of mass m kg connected by a light inextensible string passing over a smooth pulley. The block is on a horizont

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