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 0.6 kg is dropped from a height of 8 m above the ground. The speed of the particle at the instant before hitting the ground is 1...
A particle of mass 0.8 kg is projected with a speed of 12 m s⁻¹ up a line of greatest slope of a rough plane inclined at an angle of 10° to the hor...
Two light inextensible strings are attached to a particle of weight 25 N. The strings pass over two smooth fixed pulleys and have particles of weig...
A car of mass 800 kg is moving up a hill inclined at θ° to the horizontal, where sin θ = 0.15. The initial speed of the car is 8 m s⁻¹. Twelve seco...
A particle P moves in a straight line ABCD with constant deceleration. The velocities of P at A, B and C are 20 m s⁻¹, 12 m s⁻¹ and 6 m s⁻¹ respect...
A particle P moves in a straight line passing through a point O. At time t s, the velocity of P, v m s⁻¹, is given by v = qt + rt², where q and r a...
As shown in the diagram, a particle A of mass 0.8 kg lies on a plane inclined at an angle of 30° to the horizontal and a particle B of mass 1.2 kg ...
One end of a light inextensible string is attached to a block. The string makes an angle of 0° with the horizontal. The tension in the string is 20...
The diagram shows a wire ABCD consisting of a straight part AB of length 5 m and a part BCD in the shape of a semicircle of radius 6 m and centre O...
A particle A moves in a straight line with constant speed 10 m s⁻¹. Two seconds after A passes a point O on the line, a particle B passes through O...
A car of mass 1200 kg is moving on a straight road against a constant force of 850 N resisting the motion.
A particle of mass 0.12 kg is placed on a plane which is inclined at an angle of 40° to the horizontal. The particle is kept in equilibrium by a fo...
The diagram shows a fixed block with a horizontal top surface and a surface which is inclined at an angle of θ° to the horizontal, where sin θ = 3/...
A man pushes a wheelbarrow of mass 25 kg along a horizontal road with a constant force of magnitude 35 N at an angle of 20° below the horizontal. T...
The four coplanar forces shown in the diagram are in equilibrium. Find the values of P and θ. [Figure X.X]
A train travels between two stations, A and B. The train starts from rest at A and accelerates at a constant rate for T s until it reaches a speed ...
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 = (2t – 5)³.
A particle is projected vertically upwards from a point O with a speed of 12 m s⁻¹. Two seconds later a second particle is projected vertically upw...
A car of mass 1200 kg is travelling along a horizontal road.
Two particles A and B of masses m kg and 4 kg respectively are connected by a light inextensible string that passes over a fixed smooth pulley. Par...
A particle is projected with speed 20 m s⁻¹ at an angle of 60° above the horizontal. Calculate the time after projection when the particle is desce...
One end of a light inextensible string is attached to a fixed point A. The other end of the string is attached to a particle P of mass m kg which h...
An object is made from a uniform solid hemisphere of radius 0.56m and centre O by removing a hemisphere of radius 0.28 m and centre O. The diagram ...
A particle is projected from a point O on horizontal ground. The initial components of the velocity of the particle are 10 m s⁻¹ horizontally and 1...
A uniform semicircular lamina of radius 0.7 m and weight 14 N has diameter AB. The lamina is in a vertical plane with A freely pivoted at a fixed p...
A particle P of mass 0.15 kg is attached to one end of a light elastic string of natural length 0.4 m and modulus of elasticity 12 N. The other end...
A particle P of mass 0.5 kg is at rest at a point O on a rough horizontal surface. At time t = 0, where t is in seconds, a horizontal force acting ...
A particle P of mass 0.2 kg moves with speed 4 m s¯¹ and angular speed 5 rad s¯¹ in a horizontal circle on a smooth surface. P is attached to one e...
The ends of two light inextensible strings of length 0.7 m are attached to a particle P. The other ends of the strings are attached to two fixed po...
An open box in the shape of a cube with edges of length 0.2 m is placed with its base horizontal and its four sides vertical. The four sides and ba...
A small object of mass 0.4 kg is released from rest at a point 8 m above the ground. The object descends vertically and when its downwards displace...
A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.8 m and modulus of elasticity 6 N. The other end of ...
The end A of a non-uniform rod AB of length 0.6 m and weight 8 N rests on a rough horizontal plane, with AB inclined at 60° to the horizontal. Equi...
A particle P is projected from a point O with speed V ms¯¹. At time t s after projection the horizontal and vertically upwards displacements of P f...
Kadijat noted the weights, x grams, of 30 chocolate buns. Her results are summarised by Σ(x − k) = 315, Σ(x − k)² = 4022, where k is a constant. Th...
Ashfaq throws two fair dice and notes the numbers obtained. R is the event ‘The product of the two numbers is 12'. T is the event ‘One of the numbe...
Redbury United soccer team play a match every week. Each match can be won, drawn or lost. At the beginning of the soccer season the probability tha...
The times taken, t seconds, by 1140 people to solve a puzzle are summarised in the table. Time (t seconds): 0 < t < 20, 20 < t < 40, 40 < t < 60, 6...
Eggs are sold in boxes of 20. Cracked eggs occur independently and the mean number of cracked eggs in a box is 1.4.
(a) The random variable X has a normal distribution with mean μ and standard deviation σ. You are given that σ = 0.25μ and P(X < 6.8) = 0.75. (b) T...
(a) Eight children of different ages stand in a random order in a line. Find the number of different ways this can be done if none of the three you...
Rani and Diksha go shopping for clothes.
Anabel measured the lengths, in centimetres, of 200 caterpillars. Her results are illustrated in the cumulative frequency graph below. [Figure below]
In a probability distribution the random variable X takes the value x with probability kx², where k is a constant and x takes values −2, −1, 2, 4 o...
Two identical biased triangular spinners with sides marked 1, 2 and 3 are spun. For each spinner, the probabilities of landing on the sides marked ...
The lengths of videos of a certain popular song have a normal distribution with mean 3.9 minutes. 18% of these videos last for longer than 4.2 minu...
A library contains 4 identical copies of book A, 2 identical copies of book B and 5 identical copies of book C. These 11 books are arranged on a sh...
During the school holidays, each day Khalid either rides on his bicycle with probability 0.6, or on his skateboard with probability 0.4. Khalid doe...
A biased die has faces numbered 1 to 6. The probabilities of the die landing on 1, 3 or 5 are each equal to 0.1. The probabilities of the die landi...
The probability that George goes swimming on any day is 1/3. Use an approximation to calculate the probability that in 270 days George goes swimmin...