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Statics and friction: OCR A‑Level Further Maths questions

Every OCR A-Level Further Maths exam question on FM.10 Statics and friction, 2018–2025, with its mark scheme and examiner’s report.

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648 questions

  1. Q8

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 8: In this question you must show detailed reasoning. The units of the coordinate system in this question are metres. A designer is constructing a sign OABC which
  2. Q8

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 8: A shape, S, is formed by attaching a particle of mass 2m kg to the vertex of a uniform solid cone of mass 8m kg. The height of the cone is h m and the radius of
  3. Q5

    June 2022 · Mechanics

    The whole paper ↗
    June 2022 Mechanics, question 5: In this question you must show detailed reasoning. The region bounded by the x‑axis, the y‑axis, the line x 4 and the curve with equation = 15 y is occupied by
  4. Q5

    November 2020 · Mechanics

    The whole paper ↗
    November 2020 Mechanics, question 5: The cover of a children’s book is modelled as being a uniform lamina L. L occupies the region bounded by the x-axis, the curve y 6 sin x and the lines x 0 and x
  5. Q7

    November 2020 · Mechanics

    The whole paper ↗
    November 2020 Mechanics, question 7: Fig. 7.1 shows a uniform lamina in the shape of a sector of a circle of radius r and angle 2i where i is in radians. The sector consists of a triangle OAB and a
  6. Q1

    June 2019 · Mechanics

    The whole paper ↗
    June 2019 Mechanics, question 1: 2 1 The region bounded by the x-axis, the curve y 2 x 15 x 36 x 20 and the lines x = and 1 = - + - x 4 is rotated through 2r radians about the x-axis to form a
All 6 questions on Statics and friction, as a list
  1. June 2025, Mechanics, Q8 (13 marks): In this question you must show detailed reasoning. The units of the coordinate system in this question are metres. A designer is constructing a sign OABC which
  2. June 2024, Mechanics, Q8 (8 marks): A shape, S, is formed by attaching a particle of mass 2m kg to the vertex of a uniform solid cone of mass 8m kg. The height of the cone is h m and the radius of
  3. June 2022, Mechanics, Q5 (9 marks): In this question you must show detailed reasoning. The region bounded by the x‑axis, the y‑axis, the line x 4 and the curve with equation = 15 y is occupied by
  4. November 2020, Mechanics, Q5 (9 marks): The cover of a children’s book is modelled as being a uniform lamina L. L occupies the region bounded by the x-axis, the curve y 6 sin x and the lines x 0 and x
  5. November 2020, Mechanics, Q7 (12 marks): Fig. 7.1 shows a uniform lamina in the shape of a sector of a circle of radius r and angle 2i where i is in radians. The sector consists of a triangle OAB and a
  6. June 2019, Mechanics, Q1 (8 marks): 2 1 The region bounded by the x-axis, the curve y 2 x 15 x 36 x 20 and the lines x = and 1 = - + - x 4 is rotated through 2r radians about the x-axis to form a

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