AS & A Level Mathematics (9709) — May–June 2025, Paper 45
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A box of mass 25 kg is pulled 12 m up a rough plane inclined at an angle of 8 degrees to the horizontal. The box moves up a line of greatest slope against a frictional force of 50…
Answer this question and get it marked →A machine for driving a nail into a block of wood causes a hammerhead to drop vertically onto the top of the nail. The mass of the hammerhead is 1.5 kg and the mass of the nail is…
Answer this question and get it marked →A train travels 4.8 km between two stations, A and B. The train starts from rest at A and accelerates at a constant rate until it reaches a speed of 30 m s^-1. It then travels at…
Answer this question and get it marked →Coplanar forces of magnitudes 17 N, 51 N and 34 N act at a point O in the directions shown in the diagram, where tan(alpha) = 15/8. Find the magnitude and direction of the…
Answer this question and get it marked →A car of mass 1500 kg is travelling along a straight horizontal road. It is given that there is a constant resistance to motion. The engine of the car is working at 24 kW while…
Answer this question and get it marked →A particle P moves in a straight line starting from a point O. At time t s after leaving O, the velocity, v m s^-1, of P is given by v = (15 - 2t)^2. Find the values of t when the…
Answer this question and get it marked →Two particles A and B of masses 6.5 kg and m kg respectively are connected by a light inextensible string that passes over a smooth pulley. The pulley is fixed at the top of a…
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