AS & A Level Further Mathematics (9231) — May–June 2023, Paper 31
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →One end of a light elastic string, of natural length a and modulus of elasticity 3mg, is attached to a fixed point O. The other end of the string is attached to a particle P of…
Answer this question and get it marked →A particle P of mass m is moving with speed u on a fixed smooth horizontal surface. It collides at an angle alpha with a fixed smooth vertical barrier. After the collision, P…
Answer this question and get it marked →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 P is held at the…
Answer this question and get it marked →An object is formed from a solid hemisphere, of radius 2a, and a solid cylinder, of radius a and height d. The hemisphere and the cylinder are made of the same material. The…
Answer this question and get it marked →A light elastic string of natural length a and modulus of elasticity lambdamg has one end attached to a fixed point O on a smooth horizontal surface. When a particle of mass m is…
Answer this question and get it marked →A particle P moving in a 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 acceleration of P, in m s^-2, is given by…
Answer this question and get it marked →At time t s, a particle P is projected with speed 40 m s^-1 at an angle theta above the horizontal from a point O on a horizontal plane and moves freely under gravity. The…
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