AS & A Level Further Mathematics (9231) — May–June 2024, Paper 32
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two smooth uniform spheres A and B of equal radii have masses m and 5m respectively. Sphere A is moving on a smooth horizontal surface with speed u when it collides with sphere B,…
Answer this question and get it marked →The points A and B are at the same horizontal level a distance 4a apart. The ends of a light elastic string, of natural length 4a and modulus of elasticity lambda, are attached to…
Answer this question and get it marked →At time t = 0 seconds, a particle P is projected with speed u m s^-1 at an angle 60 degrees above the horizontal from a point O. In the subsequent motion P moves freely under…
Answer this question and get it marked →A ring of weight W, with radius a and centre O, is at rest on a rough surface that is inclined to the horizontal at an angle alpha where tan(alpha) = 1/2. The plane of the ring is…
Answer this question and get it marked →Two particles A and B of masses m and km respectively are connected by a light inextensible string of length a. The particles are placed on a rough horizontal circular turntable…
Answer this question and get it marked →A particle P of mass 2 kg moving on a horizontal straight line has displacement x m from a fixed point O on the line and velocity v m s^-1 at time t s. The only horizontal force…
Answer this question and get it marked →A smooth sphere with centre O and of radius a is fixed to a horizontal plane. A particle P of mass m is projected horizontally from the highest point of the sphere with speed u,…
Answer this question and get it marked →