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 1.6kg is projected with a speed of 20ms¯¹ up a line of greatest slope of a smooth plane inclined at α to the horizontal, where t...
A particle of mass 2.4kg is held in equilibrium by two light inextensible strings, one of which is attached to point A and the other attached to po...
The diagram shows the velocity-time graph for the motion of a bus [Figure 3.1]. The bus starts from rest and accelerates uniformly for 8 seconds un...
Two particles P and Q, of masses 6kg and 2kg respectively, lie at rest 12.5m apart on a rough horizontal plane. The coefficient of friction between...
The diagram shows a particle A, of mass 1.2kg, which lies on a plane inclined at an angle of 40° to the horizontal and a particle B, of mass 1.6kg,...
A car of mass 1300kg is moving on a straight road.
A particle moves in a straight line starting from a point O before coming to instantaneous rest at a point X. At time t s after leaving O, the velo...
A block of mass 15kg slides down a line of greatest slope of an inclined plane. The top of the plane is at a vertical height of 1.6m above the leve...
The diagram shows a smooth ring R, of mass mkg, threaded on a light inextensible string. A horizontal force of magnitude 2N acts on R. The ends of ...
A block of mass 10kg is at rest on a rough plane inclined at an angle of 30° to the horizontal. A force of 120N is applied to the block at an angle...
A particle P of mass 0.2kg lies at rest on a rough horizontal plane. A horizontal force of 1.2N is applied to P.
A particle A of mass 0.5 kg is projected vertically upwards from horizontal ground with speed 25 m s⁻¹.
A railway engine of mass 120000kg is towing a coach of mass 60000kg up a straight track inclined at an angle of α to the horizontal where sin α = 0...
A particle X travels in a straight line. The velocity of X at time ts after leaving a fixed point O is denoted by vms⁻¹, where v = −0.1t³ + 1.8t² –...
A particle is projected vertically upwards from horizontal ground with a speed of ums⁻¹. The particle has height sm above the ground at times 3 sec...
A machine for driving a nail into a block of wood causes a hammerhead to drop vertically onto the top of a nail. The mass of the hammerhead is 1.2k...
A block of mass 8kg slides down a rough plane inclined at 30° to the horizontal, starting from rest. The coefficient of friction between the block ...
A car has mass 1600kg. The car is moving along a straight horizontal road at a constant speed of 24 ms⁻¹ and is subject to a constant resistance of...
A light string AB is fixed at A and has a particle of weight 80N attached at B. A horizontal force of magnitude PN is applied at B such that the st...
A particle moves in a straight line. At time ts, the acceleration, ams⁻², of the particle is given by `a = 36 – 6t`. The velocity of the particle i...
Particles A and B, of masses 2.4 kg and 3.3 kg respectively, are connected by a light inextensible string that passes over a smooth pulley which is...
The times taken by 120 children to complete a particular puzzle are represented in the cumulative frequency graph. [Figure on page 3]
Hazeem repeatedly throws two ordinary fair 6-sided dice at the same time. On each occasion, the score is the sum of the two numbers that she obtains.
A farmer sells eggs. The weights, in grams, of the eggs can be modelled by a normal distribution with mean 80.5 and standard deviation 6.6. Eggs ar...
The times, to the nearest minute, of 150 athletes taking part in a charity run are recorded. The results are summarised in the table. Time in minut...
A red spinner has four sides labelled 1, 2, 3, 4. When the spinner is spun, the score is the number on the side on which it lands. The random varia...
In a restaurant, the tables are rectangular. Each table seats four people: two along each of the longer sides of the table (see diagram). Eight fri...
A competitor in a throwing event has three attempts to throw a ball as far as possible. The random variable X denotes the number of throws that exc...
George has a fair 5-sided spinner with sides labelled 1, 2, 3, 4, 5. He spins the spinner and notes the number on the side on which the spinner lands.
A factory produces a certain type of electrical component. It is known that 15% of the components produced are faulty. A random sample of 200 compo...
The heights, in cm, of the 11 players in each of two teams, the Aces and the Jets, are shown in the following table. Aces | 180 | 174 | 169 | 182 |...
The heights of the members of a club are normally distributed with mean 166cm and standard deviation 10cm. Find the probability that a randomly cho...
Freddie has two bags of marbles. Bag X contains 7 red marbles and 3 blue marbles. Bag Y contains 4 red marbles and 1 blue marble. Freddie chooses o...
Find the number of different arrangements of the 9 letters in the word ANDROMEDA in which no consonant is next to another consonant. (The letters D...
Becky sometimes works in an office and sometimes works at home. The random variable X denotes the number of days that she works at home in any give...
The weights of large bags of pasta produced by a company are normally distributed with mean 1.5kg and standard deviation 0.05 kg.
Tim has two bags of marbles, A and B. Bag A contains 8 white, 4 red and 3 yellow marbles. Bag B contains 6 white, 7 red and 2 yellow marbles. Tim a...
The weights, xkg, of 120 students in a sports college are recorded. The results are summarised in the following table. Weight (xkg) | x ≤ 40 | x ≤ ...
The probability that a driver passes an advanced driving test is 0.3 on any given attempt. Dipak keeps taking the test until he passes. The random ...
Jai and his wife Kaz are having a party. Jai has invited five friends and each friend will bring his wife.
A random variable X has the distribution N(410, 400). Find the probability that the mean of a random sample of 36 values of X is less than 405.
In a survey of 300 randomly chosen adults in Rickton, 134 said that they exercised regularly. This information was used to calculate an a% confiden...
A website owner finds that, on average, his website receives 0.3 hits per minute. He believes that the number of hits per minute follows a Poisson ...
The masses, in kilograms, of chemicals A and B produced per day by a factory are modelled by the independent random variables X and Y respectively,...
In the past the number of enquiries per minute at a customer service desk has been modelled by a random variable with distribution Po(0.31). Follow...
A continuous random variable X takes values from 0 to 6 only and has a probability distribution that is symmetrical. Two values, a and b, of X are...
A biologist wishes to test whether the mean concentration u, in suitable units, of a certain pollutant in a river is below the permitted level of 0...
A random variable X has the distribution Po(25).
The length, in minutes, of mathematics lectures at a certain college has mean μ and standard deviation 8.3.
A researcher read a magazine article which stated that boys aged 1 to 3 prefer green to orange. It claimed that, when offered a green cube and an o...