AS & A Level Further Mathematics (9231) — May–June 2025, Paper 31
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 8 kg is moving in a straight horizontal line. At time t s, P has displacement x m from a fixed point O on the line and velocity v m s^-1. The only horizontal…
Answer this question and get it marked →A particle P is projected with speed 24 m s^-1 at an angle theta degrees above the horizontal from a point O on a horizontal plane, and moves freely under gravity. At a horizontal…
Answer this question and get it marked →A rough horizontal disc, centre O, rotates with constant angular speed omega rad s^-1. A particle P of mass 1.6 kg lies on the disc at a distance 1.5 m from O, and is attached to…
Answer this question and get it marked →An object is formed by removing a solid hemisphere, radius 2r, from a uniform solid cone, radius 3r and semi-vertical angle theta, where tan(theta) = 1/2. The axes of symmetry of…
Answer this question and get it marked →One end of a light elastic string of natural length 0.5 m and modulus of elasticity 14 N is attached to a fixed point A on a smooth plane. The plane makes an angle alpha to the…
Answer this question and get it marked →Two uniform smooth spheres A and B of equal radii have masses 2m and m respectively. Sphere A is moving in a straight horizontal line with speed u, and sphere B is stationary.…
Answer this question and get it marked →A fixed hollow sphere has radius a and centre O. The points A, B and C lie on the inner surface of the sphere with OA and BC horizontal. A portion of the sphere has been removed…
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