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Connected particles and pulleys: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 3.03.2 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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481 questions

  1. Q8

    June 2025 · Paper 3

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  5. Q13

    June 2023 · Paper 3

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  7. Q10

    June 2022 · Paper 3

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  9. Q14

    November 2021 · Paper 3

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  11. Q9

    November 2020 · Paper 3

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  12. Q9

    June 2019 · Paper 3

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  14. Q12

    June 2018 · Paper 3

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All 15 questions on Connected particles and pulleys, as a list
  1. June 2025, Paper 3, Q8 (4 marks): A RN 0.6kg B 0.3 N 0.8 kg Two particles A and B of masses 0.6 kg and 0.8 kg respectively, are attached to the ends of a light inextensible string. Particle A is
  2. June 2025, AS Paper 2, Q11 (13 marks): 5m B Q P 5 kg A 2kg 3kg C One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second p
  3. June 2024, Paper 3, Q10 (6 marks): X N 5kg 50° 20° m kg A block of mass m kg is on smooth horizontal ground with one end of a light inextensible rope attached to its upper surface. The other end
  4. June 2024, AS Paper 2, Q10 (11 marks): Q P 3kg 2 kg 4m Two small balls P and Q, of masses 3 kg and 2 kg respectively, are attached to the ends of a light inextensible string. The string passes over a
  5. June 2023, Paper 3, Q13 (12 marks): B 2kg P 4kg 60° The diagram shows a small block B, of mass 2 kg, and a particle P, of mass 4 kg, which are attached to the ends of a light inextensible string.
  6. June 2023, AS Paper 2, Q11 (13 marks): Two balls P and Q have masses 0.6 kg and 0.4 kg respectively. The balls are attached to the ends of a string. The string passes over a pulley which is fixed at
  7. June 2022, Paper 3, Q10 (8 marks): P B Q A rectangular block B is at rest on a horizontal surface. A particle P of mass 2.5 kg is placed on the upper surface of B. The particle P is attached to o
  8. June 2022, AS Paper 2, Q12 (11 marks): P 1.75m Q Particles P and Q, of masses 4 kg and 6 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixe
  9. November 2021, Paper 3, Q14 (11 marks): B 3kg A 2 kg C 30° 4 kg Π 60° One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a seco
  10. November 2021, AS Paper 2, Q11 (7 marks): 1250N 9000N B A 20 000kg 50 000kg direction of motion A train consists of an engine A of mass 50 000 kg and a carriage B of mass 20 000 kg. The engine and carri
  11. November 2020, Paper 3, Q9 (13 marks): P B 1.5m A i One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second particle B of
  12. June 2019, Paper 3, Q9 (9 marks): B 0.2kg P 0.5kg i The diagram shows a small block B, of mass 0.2 kg, and a particle P, of mass 0.5 kg, which are attached to the ends of a light inextensible st
  13. June 2019, AS Paper 2, Q11 (16 marks): Two small balls P and Q have masses 3 kg and 2 kg respectively. The balls are attached to the ends of a string. P is held at rest on a rough horizontal surface.
  14. June 2018, Paper 3, Q12 (14 marks): One end of a light inextensible string is attached to a particle A of mass m kg. The other end of the string is attached to a second particle B of mass mm kg, w
  15. June 2018, AS Paper 2, Q10 (8 marks): Particles P and Q, of masses 3 kg and 5 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixed pulley.

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