plumiHorizontal circles: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on MD.1 Horizontal circles, 2019–2025, 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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All 20 questions on Horizontal circles, as a list
- June 2025, Paper 3 Mechanics, Q8 (6 marks): In this question use g = 9.8 m s–2 A conical pendulum consists of a light inextensible string of length 1.2 metres and a small metal sphere of mass 0.2 kg One e
- June 2025, AS Paper 2 Mechanics, Q1 (1 mark): 1_ A particle travels around a horizontal circle of radius r metres with a constant angular speed of ω radians per second. _ State an expression for the magnitu
- June 2025, AS Paper 2 Mechanics, Q5 (3 marks): 5_ The path of a person on a theme park ride can be modelled as a circle of radius 15 metres. _ The person has a constant angular speed about the centre of the
- June 2024, Paper 3 Mechanics, Q1 (1 mark): A particle moves in a circular path so that at time t seconds its position vector, r metres, is given by r = 4 sin(2t)i + 4 cos(2t)j Find the velocity of the pa
- June 2024, Paper 3 Mechanics, Q3 (1 mark): A conical pendulum consists of a light string and a particle of mass m kg The conical pendulum completes horizontal circles with radius r metres and angular spe
- June 2024, Paper 3 Mechanics, Q4 (5 marks): A particle of mass 3 kg is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point on a smooth horizontal s
- June 2024, AS Paper 2 Mechanics, Q3 (1 mark): A cyclist travels around a circular track of radius 20 m at a constant speed of 8 m s–1 Find the angular speed of the cyclist in radians per second. Circle your
- June 2024, AS Paper 2 Mechanics, Q9 (6 marks): A small coin is placed at a point C on a rough horizontal turntable, with centre O, as shown in the diagram below. O C The mass of the coin is 3.6 grams. The di
- June 2023, Paper 3 Mechanics, Q4 (2 marks): A car of mass 1400 kg drives around a horizontal circular bend of radius 60 metres. The car has a constant speed of 12 m s−1 on the bend. Calculate the magnitud
- June 2023, AS Paper 2 Mechanics, Q4 (4 marks): Reena is skating on an ice rink, which has a horizontal surface. She follows a circular path of radius 5 metres and centre O She completes 10 full revolutions i
- June 2022, Paper 3 Mechanics, Q6 (7 marks): A particle, of mass 5 kg, moves on a circular path so that at time t seconds it has position vector r metres, where r = (2 sin 3t)i + (2 cos 3t)j 6 (a) Prove th
- June 2022, AS Paper 2 Mechanics, Q8 (8 marks): A particle, of mass 3 kg, is attached to one end of an elastic string. The particle is placed on a smooth horizontal table. The other end of the string is attac
- November 2021, Paper 3 Mechanics, Q9 (10 marks): In this question use g = 9.81 m s−2 A conical pendulum is made from an elastic string and a sphere of mass 0.2 kg The string has natural length 1.6 metres and m
- November 2021, AS Paper 2 Mechanics, Q4 (5 marks): A cyclist in a road race is travelling around a bend on a horizontal circular path of radius 15 metres and is prevented from skidding by a frictional force. The
- November 2020, Paper 3 Mechanics, Q6 (9 marks): A particle moves with constant speed on a circular path of radius 2 metres. The centre of the circle has position vector 2j metres. At time t = 0 , the particle
- November 2020, AS Paper 2 Mechanics, Q3 (3 marks): The time taken for the moon to make one complete orbit around Earth is approximately 27.3 days. Model this orbit as circular, with a radius of 3:84 × 108 metres
- June 2019, Paper 3 Mechanics, Q2 (1 mark): A particle has an angular speed of 72 revolutions per minute. Find the angular speed in radians per second. Circle your answer. [1 mark] 6p 5 12p 5 12p 24p
- June 2019, Paper 3 Mechanics, Q7 (9 marks): A particle of mass 2.5 kilograms is attached to one end of a light, inextensible string of length 75 cm. The other end of this string is attached to a point A.
- June 2019, AS Paper 2 Mechanics, Q1 (1 mark): A turntable rotates at a constant speed of 331 3 revolutions per minute. Find the angular speed in radians per second. Circle your answer. [1 mark] 5p 9 10p 9 5
- June 2019, AS Paper 2 Mechanics, Q4 (7 marks): In this question use g = 9.8 m s−2 A ride in a fairground consists of a hollow vertical cylinder of radius 4.6 metres with a horizontal floor. Stephi, who has m
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