AS & A Level Mathematics (9709) — May–June 2025, Paper 42

7 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 4 marks · Work, energy and power

A crate is being pushed in a straight line along a horizontal surface by a force of magnitude 25 N inclined at 20° above the horizontal. The crate moves a distance of 12 m in 8…

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Question 2 · 4 marks · Momentum

Two particles P and Q, of masses 0.2 kg and 0.1 kg respectively, are free to move in a straight line on a smooth horizontal plane. P is projected towards Q with speed 5 m s^-1. At…

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Question 3 · 4 marks · Forces and equilibrium

A particle P of mass m kg is attached to one end of a light inextensible string of length 2.6 m. The other end of the string is attached to a fixed point on a horizontal ceiling,…

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Question 4 · 11 marks · Kinematics of motion in a straight line

A car is travelling along a straight horizontal road. The car passes through a point A, on the road travelling at a speed of 15 m s^-1, and then accelerates uniformly at 0.4 m…

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Question 5 · 12 marks · Newton's laws of motion

One end of a light inextensible string is attached to a particle A of mass 3 kg. The other end of the string is attached to a particle B of mass 4 kg. Particle A is in contact…

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Question 6 · 9 marks · Kinematics of motion in a straight line

A particle P moves in a straight line and passes through the point A at time t = 0. The velocity v m s^-1 of P at time t seconds is given by v = (2t + 1)^(3/2) − 2t^2, where 0 ≤ t…

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Question 7 · 6 marks · Work, energy and power

A particle P of mass 3 kg is projected with a speed of 8 m s^-1 up a line of greatest slope of a rough plane inclined at 30° to the horizontal. P is projected from a point A on…

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