AS & A Level Mathematics (9709) — May–June 2025, Paper 43
7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Two particles P and Q, of masses 0.1 kg and 0.3 kg respectively, are at rest on a smooth horizontal plane. P is projected directly towards Q with speed 4u m s^-1. At the same…
Answer this question and get it marked →A van of mass 4500 kg is towing a trailer of mass 350 kg along a straight horizontal road. The van and trailer are connected by a light rigid tow-bar which is parallel to the…
Answer this question and get it marked →The diagram shows a velocity-time graph which models the motion of a particle. The graph consists of 3 straight line segments. The vertical axis is v (m s^-1) and the horizontal…
Answer this question and get it marked →Three blocks P, Q and R, of masses 25 kg, 20 kg and m kg respectively, are held in equilibrium by three light inextensible strings OP, OQ and OR. The strings OP and OR both pass…
Answer this question and get it marked →A van of mass 2500 kg travelling at speed v m s^-1 experiences a resistance force of k v^2 N. The constant power of the van's engine is 62.5 kW. The steady speed that the van…
Answer this question and get it marked →The diagram shows the vertical cross-section ABC of a rough waterslide. The section AB is a straight line of length 5 m inclined at an angle of theta to the horizontal, where…
Answer this question and get it marked →A particle X moves in a straight line. The displacement of X from O at time t s after leaving O is s m, where s = 0.3t^2 + 0.6t for 0 <= t <= 4. Find the velocity of X at t = 4.…
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