AS & A Level Further Mathematics (9231) — May–June 2025, Paper 33
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →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 point O. The particle moves in a…
Answer this question and get it marked →A particle P of mass m is attached to one end of a light elastic string of natural length a and modulus of elasticity mg. The other end of the string is attached to a fixed point…
Answer this question and get it marked →A ball of mass m kg is projected vertically upwards with initial speed U m s^-1 and moves under gravity. At time t s after projection, the ball has travelled a distance x m and…
Answer this question and get it marked →An object consists of a uniform lamina with a particle attached. The uniform lamina ABCEFD of mass m is formed from a rectangle ABCD and an isosceles triangle CEF, where F is the…
Answer this question and get it marked →A hollow cylinder of radius r is fixed with its axis horizontal. Points A, B and O are in the same vertical plane perpendicular to the axis of the cylinder, with A and B on the…
Answer this question and get it marked →Two identical uniform smooth spheres A and B, each with mass m, are moving on a horizontal surface with speeds 2u and u respectively when they collide. Immediately before the…
Answer this question and get it marked →A particle P is projected from a point O with speed U at an angle 45 degrees above the horizontal and moves freely under gravity. State the vertical and horizontal components of…
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