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Ladders and rods against walls: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 3.04.2 Ladders and rods against walls, 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. Q10

    June 2025 · Paper 3

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  2. Q11

    June 2024 · Paper 3

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  3. Q11

    June 2023 · Paper 3

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  4. Q11

    June 2022 · Paper 3

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  5. Q10

    November 2020 · Paper 3

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  6. Q11

    June 2019 · Paper 3

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All 6 questions on Ladders and rods against walls, as a list
  1. June 2025, Paper 3, Q10 (8 marks): ° θ A B G The diagram shows a non-uniform rod AB of mass 4 kg and length 2 m. The end A of the rod rests against a rough vertical wall. The rod is held in a hor
  2. June 2024, Paper 3, Q11 (7 marks): C D 6 m B 2 m 50° A A uniform rectangular lamina ABCD has a mass of 0.5 kg. The length of AB is 2 m, and the length of BC is 6 m. The lamina is in limiting equi
  3. June 2023, Paper 3, Q11 (8 marks): B 55° 30° A A uniform rod AB, of weight 20 N and length 2.8 m, rests in equilibrium with the end A in contact with rough horizontal ground and the end B resting
  4. June 2022, Paper 3, Q11 (7 marks): B D 60° C 3 m xm 60° A A uniform rod AB of mass 4 kg and length 3 m rests in a vertical plane with A on rough horizontal ground. A particle of mass 1 kg is atta
  5. November 2020, Paper 3, Q10 (11 marks): D 0.4 m A 60° C B The diagram shows a wall-mounted light. It consists of a rod AB of mass 0.25 kg and length 0.8 m which is freely hinged to a vertical wall at
  6. June 2019, Paper 3, Q11 (14 marks): B 2a h C d 30° A The diagram shows a ladder AB, of length 2a and mass m, resting in equilibrium on a vertical wall of height h. The ladder is inclined at an ang

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