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 A is projected vertically upwards from level ground with an initial speed of 30 m s⁻¹. At the same instant a particle B is released from...
A particle P moving in a straight line starts from rest at a point O and comes to rest 16 s later. At time t s after leaving O, the acceleration a ...
Particles P of mass 0.4 kg and Q of mass 0.5 kg are free to move on a smooth horizontal plane. P and Q are moving directly towards each other with ...
A cyclist is travelling along a straight horizontal road. She is working at a constant rate of 150 W. At an instant when her speed is 4 m s⁻¹, her ...
Four coplanar forces act at a point. The magnitudes of the forces are 20 N, 30 N, 40 N and F N. The directions of the forces are as shown in the di...
A particle is projected vertically upwards with speed u m s⁻¹ from a point on horizontal ground. After 2 seconds, the height of the particle above ...
A car of mass 1400 kg is towing a trailer of mass 500 kg down a straight hill inclined at an angle of 5° to the horizontal. The car and trailer are...
A particle moves in a straight line and passes through the point A at time t = 0. The velocity of the particle at time t s after leaving A is v m s...
A particle P of mass 0.3 kg rests on a rough plane inclined at an angle θ to the horizontal, where sin θ = 7/25. A horizontal force of magnitude 4 ...
A bag contains 12 marbles, each of a different size. 8 of the marbles are red and 4 of the marbles are blue.
A company produces a particular type of metal rod. The lengths of these rods are normally distributed with mean 25.2 cm and standard deviation 0.4 ...
How many different arrangements are there of the 8 letters in the word RELEASED?
To gain a place at a science college, students first have to pass a written test and then a practical test. Each student is allowed a maximum of tw...
The times taken by 200 players to solve a computer puzzle are summarised in the following table. Time (t seconds) 0 ≤ t < 10 10 ≤ t < 20 20 ≤ t < 4...
In Questa, 60% of the adults travel to work by car.
Sharma knows that she has 3 tins of carrots, 2 tins of peas and 2 tins of sweetcorn in her cupboard. All the tins are the same shape and size, but ...
An ordinary fair die is thrown repeatedly until a 5 is obtained. The number of throws taken is denoted by the random variable X.
The weights of bags of sugar are normally distributed with mean 1.04 kg and standard deviation σ kg. In a random sample of 2000 bags of sugar, 72 w...
On each day that Alexa goes to work, the probabilities that she travels by bus, by train or by car are 0.4, 0.35 and 0.25 respectively. When she tr...
A fair spinner has sides numbered 1, 2, 2. Another fair spinner has sides numbered –2, 0, 1. Each spinner is spun. The number on the side on which ...
Every day Richard takes a flight between Astan and Bejin. On any day, the probability that the flight arrives early is 0.15, the probability that i...
Find the total number of different arrangements of the 8 letters in the word TOMORROW.
The heights, in cm, of the 11 basketball players in each of two clubs, the Amazons and the Giants, are shown below. Amazons 205 198 181 182 190 215...
The heights in cm of 160 sunflower plants were measured. The results are summarised on the following cumulative frequency curve. [Figure 1.1: Cumul...
The random variable X can take only the values -2, -1, 0, 1, 2. The probability distribution of X is given in the following table. [Table: X: -2, -...
A sports club has a volleyball team and a hockey team. The heights of the 6 members of the volleyball team are summarised by Σx = 1050 and Σx² = 19...
Three fair six-sided dice, each with faces marked 1, 2, 3, 4, 5, 6, are thrown at the same time, repeatedly. For a single throw of the three dice, ...
The lengths of the leaves of a particular type of tree are modelled by a normal distribution. A scientist measures the lengths of a random sample o...
The word REQUIREMENT has 11 letters.
In the region of Arka, the total number of households in the three villages Reeta, Shan and Teber is 800. Each of the households was asked about th...
Accidents at two factories occur randomly and independently. On average, the numbers of accidents per month are 3.1 at factory A and 1.7 at factory B.
The time, in minutes, taken by students to complete a test has the distribution N(125, 36).
The graph of the probability density function of a random variable X is symmetrical about the line x = 4.
100 randomly chosen adults each throw a ball once. The length, l metres, of each throw is recorded. The results are summarised below. n = 100 Σl = ...
On average, 1 in 75000 adults has a certain genetic disorder.
The probability density function, f, of a random variable X is given by f(x) = { k(6x - x²) for 0 ≤ x ≤ 6, 0 otherwise, where k is a constant.
The masses, in kilograms, of large and small sacks of flour have the distributions N(55, 3²) and N(27, 2.5²) respectively.
At a certain large school it was found that the proportion of students not wearing correct uniform was 0.15. The school sent a letter to parents as...
In a game, a ball is thrown and lands in one of 4 slots, labelled A, B, C and D. Raju wishes to test whether the probability that the ball will lan...
The random variable X has the distribution B(400, 0.01).
The random variable X takes values in the range 1 ≤ x ≤ p, where p is a constant. The graph of the probability density function of X is shown in th...
Wendy's journey to work consists of three parts: walking to the train station, riding on the train and then walking to the office. The times, in mi...
The time, in minutes, spent by customers at a particular gym has the distribution N(μ, 38.2). In the past the value of μ has been 42.4. Following t...
The heights, h centimetres, of a random sample of 100 fully grown animals of a certain species were measured. The results are summarised below. n =...
Customers arrive at a particular shop at random times. It has been found that the mean number of customers who arrive during a 5-minute interval is...
The number of goals scored by a team in a match is independent of other matches, and is denoted by the random variable X, which has a Poisson distr...
In the past, the time, in hours, for a particular train journey has had mean 1.40 and standard deviation 0.12. Following the introduction of some n...
The local council claims that the average number of accidents per year on a particular road is 0.8. Jane claims that the true average is greater th...
The masses, m kilograms, of flour in a random sample of 90 sacks of flour are summarised as follows. n = 90 Σm = 4509 Σm² = 225 950
Most plants of a certain type have three leaves. However, it is known that, on average, 1 in 10000 of these plants have four leaves, and plants wit...