Cambridge & Pearson Edexcel Past Paper Questions
Browse 35,704 questions from Cambridge O-Level & A-Level and Pearson Edexcel IGCSE & IAL exams. Click any question to practice.
A particle of mass 0.4 kg is released from rest at a height of 1.8 m above the surface of the water in a tank. There is no instantaneous change of ...
A particle moves in a straight line, starting from rest at a point O, and comes to instantaneous rest at a point P. The velocity of the particle at...
A particle moves in a straight line. The displacement of the particle at time ts is sm, where s = t³ – 6t² + 4t. Find the velocity of the particle ...
The diagram shows a velocity-time graph which models the motion of a tractor. The graph consists of four straight line segments. The tractor passes...
A particle P of mass 0.3 kg is held in equilibrium above a horizontal plane by a force of magnitude 5 N, acting vertically upwards. The particle is...
A lorry of mass 25 000 kg travels along a straight horizontal road. There is a constant force of 3000 N resisting the motion.
Two particles A and B move in the same vertical line. Particle A is projected vertically upwards from the ground with speed 20m s⁻¹. One second lat...
A block of mass 3 kg is initially at rest on a rough horizontal plane. A force of magnitude 6N is applied to the block at an angle of θ above the h...
Two particles P and Q, of masses 0.3 kg and 0.2 kg respectively, are attached to the ends of a light inextensible string. The string passes over a ...
A crate of mass 500 kg is being pulled along rough horizontal ground by a horizontal rope attached to a winch. The winch produces a constant pullin...
A train of mass 150000 kg ascends a straight slope inclined at α° to the horizontal with a constant driving force of 16000 N. At a point A on the s...
Three coplanar forces of magnitudes 50 N, 60 N and 100 N act at a point. The resultant of the forces has magnitude R N. The directions of these for...
A car travels along a straight road with constant acceleration. It passes through points P, Q, R and S. The times taken for the car to travel from ...
A cyclist is travelling along a straight horizontal road. The total mass of the cyclist and his bicycle is 80 kg. His power output is a constant 24...
Particle P travels in a straight line from A to B. The velocity of P at time t s after leaving A is denoted by v m s⁻¹, where v = 0.04t³ + ct² + kt...
Two particles A and B have masses m kg and km kg respectively, where k > 1. The particles are attached to the ends of a light inextensible string. ...
A uniform solid cone has weight 5 N and base radius 0.1 m. AB is a diameter of the base of the cone. The cone is held in equilibrium, with A in con...
A particle is projected from a point on horizontal ground with speed 15 m s¯¹ at an angle of θ° above the horizontal. The particle strikes the grou...
A smooth horizontal surface has two fixed points O and A which are 0.8 m apart. A particle P of mass 0.25 kg is projected with velocity 3 m s¯¹ hor...
A small ball B is projected with speed 30 m s¯¹ at an angle of 60° above the horizontal from a point O. At time t s after projection the horizontal...
A and B are two fixed points on a vertical axis with A 0.6 m above B. A particle P of mass 0.3 kg is attached to A by a light inextensible string o...
ABC is the cross-section through the centre of mass of a uniform prism which rests with AB on a rough horizontal surface. AB = 0.4 m and C is 0.9 m...
A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.6 m and modulus of elasticity 9N. The other end of t...
A particle P of mass 0.5 kg is attached to one end of a light elastic string of natural length 0.6 m and modulus of elasticity 12N. The other end o...
A particle is projected from a point O on horizontal ground with speed Vms¯¹ at an angle of 60° above the horizontal. At the instant 3 s after proj...
A and B are two fixed points on a vertical axis with A above B. A particle P of mass 0.4 kg is attached to A by a light inextensible string of leng...
A particle P of mass 0.2kg is projected horizontally from a fixed point O on a smooth horizontal surface. When the displacement of P from O is xm t...
ABCD is a uniform lamina in the shape of a trapezium which has centre of mass G. The sides AD and BC are parallel and 1.8 m apart, with AD = 2.4 m ...
A particle is projected from a point on horizontal ground with speed 15 m s⁻¹ at an angle of θ° above the horizontal. The particle strikes the grou...
A small ball B is projected with speed 30 m s⁻¹ at an angle of 60° above the horizontal from a point O. At time t s after projection the horizontal...
When Shona goes to college she either catches the bus with probability 0.8 or she cycles with probability 0.2. If she catches the bus, the probabil...
Annan has designed a new logo for a sportswear company. A survey of a large number of customers found that 42% of customers rated the logo as good.
The mean and standard deviation of 20 values of x are 60 and 4 respectively.
In a probability distribution the random variable X takes the values −1, 0, 1, 2, 4. The probability distribution table for X is as follows. X -1 0...
Ransha measured the lengths, in centimetres, of 160 palm leaves. His results are illustrated in the cumulative frequency graph below. [Figure with ...
The word STEEPLECHASE has 12 letters.
The shortest time recorded by an athlete in a 400 m race is called their personal best (PB). The PBs of the athletes in a large athletics club are ...
Twelve tourists were asked to estimate the height, in metres, of a new building. Their estimates were as follows. 50 45 62 30 40 55 110 38 52 60 55 40
Benju cycles to work each morning and he has two possible routes. He chooses the hilly route with probability 0.4 and the busy route with probabili...
The speeds, in kmh⁻¹, of 90 cars as they passed a certain marker on a road were recorded, correct to the nearest kmh⁻¹. The results are summarised ...
In Quarendon, 66% of households are satisfied with the speed of their wifi connection.
A fair red spinner has four sides, numbered 1, 2, 3, 3. A fair blue spinner has three sides, numbered −1, 0, 2. When a spinner is spun, the score i...
The heights, in metres, of fir trees in a large forest have a normal distribution with mean 40 and standard deviation 8.
The word TOADSTOOL has 9 letters.
There are 300 students at a music college. All students play exactly one of the guitar, the piano or the flute. The numbers of male and female stud...
How many different arrangements are there of the 9 letters in the word CORRIDORS?
A sports team of 7 people is to be chosen from 6 attackers, 5 defenders and 4 midfielders. The team must include at least 3 attackers, at least 2 d...
The heights of students at the Mainland college are normally distributed with mean 148 cm and standard deviation 8 cm.
Last Saturday, 200 drivers entering a car park were asked the time, in minutes, that it had taken them to travel from home to the car park. The res...
A box contains 3 red balls and 5 white balls. One ball is chosen at random from the box and is not returned to the box. A second ball is now chosen...