Power: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 2.2 Power, 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.

All 18 questions on Power, as a list

June 2025, Mechanics Minor, Q3 (6 marks): The diagram shows a crate of mass 30 kg on a smooth inclined plane. One end of a light inextensible rope is attached to the crate. The rope passes over a smooth
June 2025, AS Mechanics A, Q3 (10 marks): In parts (a) and (b) of this question you should assume that the car experiences no resistances to motion. A car of mass 1200 kg is moving on a straight road. A
June 2024, Mechanics Major, Q5 (7 marks): A car of mass 850 kg is travelling along a straight horizontal road. The power developed by the car is constant and is equal to 18 kW. There is a constant resis
June 2024, Mechanics Minor, Q1 (5 marks): A car of mass 1500 kg travels along a horizontal straight road. There are no resistances to the car’s motion. The power developed by the car as it increases its
June 2023, Mechanics Major, Q1 (4 marks): A car of mass 800 kg moves in a straight line along a horizontal road. There is a constant resistance to the motion of the car of magnitude 600 N. 1 When the ca
June 2023, Mechanics Minor, Q2 (6 marks): A car of mass 1400 kg, travels along a straight horizontal road AB, after which it descends a hill BC inclined at a constant angle of 7° to the horizontal (see
June 2023, AS Mechanics A, Q1 (7 marks): Throughout all parts of this question, the resistance to the motion of a car has magnitude kv2 N, where v m s 1 - is the speed of the car and k is a constant. -
June 2022, AS Mechanics A, Q4 (10 marks): The diagram shows two points A and B on a snowy slope. A is a vertical distance of 25 m above B. A 25m B A rider and snowmobile, with a combined mass of 240 kg,
November 2021, Mechanics Major, Q7 (12 marks): A box B of mass m kg is raised vertically by an engine working at a constant rate of kmg W. - . Initially B is at rest. The speed of B when it has been raised a
November 2021, Mechanics Minor, Q3 (5 marks): The diagram shows an electric winch raising two crates A and B, with masses 40 kg and 25 kg, respectively. The cable connecting the winch to A, and the cable co
November 2021, AS Mechanics A, Q5 (8 marks): A car of mass 1600 kg is travelling uphill along a straight road inclined at 4.7° to the horizontal. The power developed by the car is constant and equal to 120
November 2020, Mechanics Major, Q5 (8 marks): A car of mass 900 kg moves along a straight level road. The power developed by the car is constant and equal to 60 kW. The resistance to the motion of the car i
November 2020, Mechanics Minor, Q3 (9 marks): In this question i and j are perpendicular unit vectors and c is a positive real number. The resultant of two forces ci N and i 2 c j N is denoted by R N. - + (
November 2020, AS Mechanics A, Q1 (4 marks): Brent is riding his bicycle along a straight horizontal road. While riding along this road Brent can attain a maximum speed of .6 25ms 1 - and the wind resistan
June 2019, Mechanics Major, Q8 (11 marks): A car of mass 800 kg travels up a line of greatest slope of a straight road inclined at 5° to the horizontal. The power developed by the car is constant and equ
June 2019, Mechanics Minor, Q1 (6 marks): Dilip and Anna are doing an experiment to find the power at which they each work when running up a staircase at school. The top of the staircase is a vertical d
June 2019, AS Mechanics A, Q5 (10 marks): A car of mass 4000 kg travels up a line of greatest slope of a straight road inclined at an angle of i to the horizontal, where sin 0 1 . . i = The power develo
June 2018, AS Mechanics A, Q2 (12 marks): A car of mass 1350 kg travels along a straight horizontal road. Throughout this question the resistance force to the motion of the car is modelled as constant a

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