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Elastic strings and springs: Edexcel A‑Level Further Maths questions

Every Edexcel A-Level Further Maths exam question on FM.3 Elastic strings and springs, 2018–2025, with its mark scheme and examiner’s report.

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824 questions

  1. Q6

    June 2025 · Further Mechanics 1

    The whole paper ↗
    June 2025 Further Mechanics 1, question 6: A B C θ 3a Figure 3 A smooth plane is inclined at an angle θ to horizontal ground, where sinθ 1 3 The points A, B and C lie on a line of greatest slope of the p
  2. Q5

    June 2024 · Further Mechanics 1

    The whole paper ↗
    June 2024 Further Mechanics 1, question 5: A light elastic string has natural length 2a and modulus of elasticity 2mg. One end of the string is attached to a fixed point A on a horizontal ceiling. The ot
  3. Q4

    June 2023 · Further Mechanics 1

    The whole paper ↗
    June 2023 Further Mechanics 1, question 4: A light elastic string has natural length 2a and modulus of elasticity 4mg. One end of the elastic string is attached to a fixed point O. A particle P of mass m
  4. Q8

    June 2023 · Further Mechanics 2

    The whole paper ↗
    June 2023 Further Mechanics 2, question 8: 6 m A P E B Figure 7 The fixed points A and B lie on a smooth horizontal surface with AB = 6m. A particle P has mass 0 3. . kg One end of a light elastic string
  5. Q7

    June 2022 · Further Mechanics 1

    The whole paper ↗
    June 2022 Further Mechanics 1, question 7: A spring of natural length a has one end attached to a fixed point A. The other end of the spring is attached to a package P of mass m. The package P is held at
  6. Q8

    June 2022 · Further Mechanics 2

    The whole paper ↗
    June 2022 Further Mechanics 2, question 8: Throughout this question, use g = 10 m s–2 A light elastic string has natural length 1.25 m and modulus of elasticity 25 N. A particle P of mass 0.5 kg is attac
  7. Q6

    November 2021 · Further Mechanics 1

    The whole paper ↗
    November 2021 Further Mechanics 1, question 6: α Y X l Figure 2 A light elastic spring has natural length 3l and modulus of elasticity 3mg. One end of the spring is attached to a fixed point X on a rough inc
  8. Q6

    November 2021 · Further Mechanics 2

    The whole paper ↗
    November 2021 Further Mechanics 2, question 6: A light elastic string, of natural length l and modulus of elasticity 2mg, has one end attached to a fixed point A and the other end attached to a particle P of
  9. Q6

    November 2020 · Further Mechanics 1

    The whole paper ↗
    November 2020 Further Mechanics 1, question 6: A light elastic string with natural length l and modulus of elasticity kmg has one end attached to a fixed point A on a rough inclined plane. The other end of t
  10. Q7

    November 2020 · Further Mechanics 2

    The whole paper ↗
    November 2020 Further Mechanics 2, question 7: A light elastic spring has natural length l and modulus of elasticity 4mg . A particle P of mass m is attached to one end of the spring. The other end of the sp
  11. Q6

    June 2019 · Further Mechanics 2

    The whole paper ↗
    June 2019 Further Mechanics 2, question 6: The points A and B lie on a smooth horizontal surface with AB = 4.5 m. A light elastic string has natural length 1.5 m and modulus of elasticity 15 N. One end o
All 11 questions on Elastic strings and springs, as a list
  1. June 2025, Further Mechanics 1, Q6 (10 marks): A B C θ 3a Figure 3 A smooth plane is inclined at an angle θ to horizontal ground, where sinθ 1 3 The points A, B and C lie on a line of greatest slope of the p
  2. June 2024, Further Mechanics 1, Q5 (7 marks): A light elastic string has natural length 2a and modulus of elasticity 2mg. One end of the string is attached to a fixed point A on a horizontal ceiling. The ot
  3. June 2023, Further Mechanics 1, Q4 (15 marks): A light elastic string has natural length 2a and modulus of elasticity 4mg. One end of the elastic string is attached to a fixed point O. A particle P of mass m
  4. June 2023, Further Mechanics 2, Q8 (14 marks): 6 m A P E B Figure 7 The fixed points A and B lie on a smooth horizontal surface with AB = 6m. A particle P has mass 0 3. . kg One end of a light elastic string
  5. June 2022, Further Mechanics 1, Q7 (12 marks): A spring of natural length a has one end attached to a fixed point A. The other end of the spring is attached to a package P of mass m. The package P is held at
  6. June 2022, Further Mechanics 2, Q8 (14 marks): Throughout this question, use g = 10 m s–2 A light elastic string has natural length 1.25 m and modulus of elasticity 25 N. A particle P of mass 0.5 kg is attac
  7. November 2021, Further Mechanics 1, Q6 (11 marks): α Y X l Figure 2 A light elastic spring has natural length 3l and modulus of elasticity 3mg. One end of the spring is attached to a fixed point X on a rough inc
  8. November 2021, Further Mechanics 2, Q6 (16 marks): A light elastic string, of natural length l and modulus of elasticity 2mg, has one end attached to a fixed point A and the other end attached to a particle P of
  9. November 2020, Further Mechanics 1, Q6 (11 marks): A light elastic string with natural length l and modulus of elasticity kmg has one end attached to a fixed point A on a rough inclined plane. The other end of t
  10. November 2020, Further Mechanics 2, Q7 (15 marks): A light elastic spring has natural length l and modulus of elasticity 4mg . A particle P of mass m is attached to one end of the spring. The other end of the sp
  11. June 2019, Further Mechanics 2, Q6 (13 marks): The points A and B lie on a smooth horizontal surface with AB = 4.5 m. A light elastic string has natural length 1.5 m and modulus of elasticity 15 N. One end o

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