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Motion in a circle: Edexcel International A Level Further Maths questions

Every Edexcel International A Level Further Maths exam question on M3.4 Motion in a circle, 2019–2025, with its mark scheme and examiner’s report.

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1,041 questions

  1. Q2

    June 2025 · Mechanics 3 (M3)

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  2. Q5

    June 2025 · Mechanics 3 (M3)

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  3. Q5

    January 2025 · Mechanics 3 (M3)

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  4. Q6

    January 2025 · Mechanics 3 (M3)

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  5. Q2

    June 2024 · Mechanics 3 (M3)

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  6. Q6

    June 2024 · Mechanics 3 (M3)

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  7. Q4

    January 2024 · Mechanics 3 (M3)

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  8. Q7

    January 2024 · Mechanics 3 (M3)

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  9. Q4

    June 2023 · Mechanics 3 (M3)

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  10. Q6

    June 2023 · Mechanics 3 (M3)

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  11. Q5

    January 2023 · Mechanics 3 (M3)

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  12. Q6

    January 2023 · Mechanics 3 (M3)

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  13. Q2

    June 2022 · Mechanics 3 (M3)

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  14. Q6

    June 2022 · Mechanics 3 (M3)

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  15. Q2

    January 2022 · Mechanics 3 (M3)

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  16. Q7

    January 2022 · Mechanics 3 (M3)

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  17. Q5

    October 2021 · Mechanics 3 (M3)

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  18. Q6

    October 2021 · Mechanics 3 (M3)

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  19. Q2

    June 2021 · Mechanics 3 (M3)

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  20. Q4

    June 2021 · Mechanics 3 (M3)

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All 27 questions on Motion in a circle, as a list
  1. June 2025, Mechanics 3 (M3), Q2 (7 marks): O a P 30 Figure 2 One end of a light inextensible string of length a is attached to a fixed point O which lies above a smooth horizontal table. The other end is
  2. June 2025, Mechanics 3 (M3), Q5 (14 marks): A P P B v O r α α Figure 4 A fixed solid sphere has centre O and radius r. A particle P of mass m is held at the point A on the smooth outer surface of the sphe
  3. January 2025, Mechanics 3 (M3), Q5 (10 marks): O P U P(m) A θ 3 4 a Figure 5 One end of a light inextensible string of length a is attached to a fixed point O. The other end is attached to a particle P of ma
  4. January 2025, Mechanics 3 (M3), Q6 (16 marks): r P(m) O A θ 1 2 a Figure 6 A fixed point O is a distance 1 2 a above a smooth horizontal table. The point A is on the table, vertically below O. A light elasti
  5. June 2024, Mechanics 3 (M3), Q2 (8 marks): d O a P Figure 2 A thin hemispherical shell, with centre O and radius a, is fixed with its open end uppermost and horizontal. A particle P of mass m moves in a
  6. June 2024, Mechanics 3 (M3), Q6 (13 marks): P u v A B θ r O C Figure 4 A fixed solid sphere has centre O and radius r. A particle P of mass m is held at rest on the smooth surface of the sphere at A, the
  7. January 2024, Mechanics 3 (M3), Q4 (9 marks): 3a V O 4a r Figure 3 Figure 3 shows a thin hollow right circular cone fixed with its circular rim horizontal. The centre of the circular rim is O. The vertex V
  8. January 2024, Mechanics 3 (M3), Q7 (13 marks): C B r θ O A Figure 5 A thin smooth hollow spherical shell has centre O and radius r. Part of the shell is removed to form a bowl with a plane circular rim. The
  9. June 2023, Mechanics 3 (M3), Q4 (12 marks): α Figure 4 A car is travelling round a circular track. The track is banked at an angle α to the horizontal, as shown in Figure 4. The car and driver are modelle
  10. June 2023, Mechanics 3 (M3), Q6 (16 marks): O a P u Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed po
  11. January 2023, Mechanics 3 (M3), Q5 (14 marks): O B A a 3 a a P(m) Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length a 3. The other end of the string is attached
  12. January 2023, Mechanics 3 (M3), Q6 (14 marks): B R (m) A O Figure 6 A small smooth ring R of mass m is threaded on to a smooth wire in the shape of a circle with centre O and radius l. The wire is fixed in a
  13. June 2022, Mechanics 3 (M3), Q2 (9 marks): C A O P 6r Figure 1 A hemispherical bowl of internal radius 6r is fixed with its circular rim horizontal. The centre of the circular rim is O and the point A on
  14. June 2022, Mechanics 3 (M3), Q6 (13 marks): 9 5 ag A O P θ Figure 4 A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a f
  15. January 2022, Mechanics 3 (M3), Q2 (8 marks): O P l 2l A Figure 2 A particle P of mass m is attached to one end of a light inextensible string of length 2l. The other end of the string is attached to a fixe
  16. January 2022, Mechanics 3 (M3), Q7 (17 marks): O α A P l u v θ Figure 4 A particle P of mass m is attached to one end of a light rod of length l. The other end of the rod is attached to a fixed point O. The
  17. October 2021, Mechanics 3 (M3), Q5 (11 marks): A l l R (m) P (m) 6 5 l Figure 2 A small smooth ring R of mass m is threaded on to a thin smooth fixed vertical pole. One end of a light inextensible string of
  18. October 2021, Mechanics 3 (M3), Q6 (10 marks): P u v θ α O P Figure 3 A light rod of length a is free to rotate in a vertical plane about a horizontal axis through one end O. A particle P of mass m is attach
  19. June 2021, Mechanics 3 (M3), Q2 (9 marks): a θ 5 4 a Figure 2 Figure 2 shows a fairground ride that consists of a chair of mass m attached to one end of a rigid arm of length 5 4 a . The other end of the
  20. June 2021, Mechanics 3 (M3), Q4 (9 marks): A l O 30° Figure 3 A circus performer has mass m. She is attached to one end of a cable of length l. The other end of the cable is attached to a fixed point O I
  21. January 2021, Mechanics 3 (M3), Q3 (11 marks): C B A 5 m 5 m 8 m Figure 2 A fairground ride consists of a cabin C that travels in a horizontal circle with a constant angular speed about a fixed vertical cent
  22. January 2021, Mechanics 3 (M3), Q6 (13 marks): O A 2a 60° 3 ag Figure 7 A particle of mass m is attached to one end of a light inextensible string of length 2a. The other end of the string is attached to a f
  23. October 2020, Mechanics 3 (M3), Q1 (6 marks): P 70 cm Figure 1 Figure 1 shows a hollow cylinder with diameter 70 cm. The cylinder is rotating at a constant angular speed about its axis, which is vertical. A
  24. October 2020, Mechanics 3 (M3), Q7 (17 marks): 8a 5a E B O 8ag A F Figure 5 A particle of mass m is attached to one end of a light inextensible string of length 8a. The other end of the string is fixed to th
  25. January 2020, Mechanics 3 (M3), Q1 (6 marks): A rough disc is rotating at a constant angular speed of 5 revolutions per minute about a vertical axis. The axis is perpendicular to the plane of the disc and p
  26. January 2020, Mechanics 3 (M3), Q3 (11 marks): B P A Figure 1 Figure 1 shows a hemispherical bowl of internal radius a fixed with its open plane face uppermost and horizontal. The lowest point of the bowl is
  27. January 2020, Mechanics 3 (M3), Q5 (11 marks): A 7ag P B 4a 3a Figure 2 One end of a light inextensible string of length 4a is attached to a fixed point A on a horizontal ceiling. A particle, P, of mass m is

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