AS & A Level Mathematics (9709) — May–June 2023, 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 0.4 kg respectively, are free to move on a smooth horizontal plane. Particle P is projected with speed 4 m s⁻¹ towards Q which is…
Answer this question and get it marked →A car of mass 1500 kg is towing a trailer of mass m kg along a straight horizontal road. The car and the trailer are connected by a tow-bar which is horizontal, light and rigid.…
Answer this question and get it marked →A smooth ring R of mass 0.2 kg is threaded on a light string ARB. The ends of the string are attached to fixed points A and B with A vertically above B. The string is taut and…
Answer this question and get it marked →A lorry of mass 15 000 kg moves on a straight horizontal road from A to B, passing A and B with speeds 20 m s⁻¹ and 25 m s⁻¹ respectively. The engine's power is constant, the…
Answer this question and get it marked →A particle starts from rest at O and moves in a straight line. Its acceleration at time t s is a m s⁻², where a = kt^(1/2) for 0 ≤ t ≤ 9 (k constant). The velocity at t = 9 is 1.8…
Answer this question and get it marked →An elevator is pulled vertically upwards by a cable. It accelerates at 0.4 m s⁻² for 5 s, then travels at constant speed for 25 s, then decelerates at 0.2 m s⁻² until it comes to…
Answer this question and get it marked →The diagram shows the vertical cross-section XYZ of a rough slide. YZ is a straight line of length 2 m inclined at angle α to the horizontal, where sin α = 0.28, and is tangential…
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