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 car of mass 1400 kg travelling on a straight horizontal road accelerates uniformly from a speed of 15 m s⁻¹ to 20 m s⁻¹ over a distance of 175 m.
A particle P of mass 0.1 kg is projected vertically upwards with speed 30 m s⁻¹ from horizontal ground. At the same instant a particle Q of mass 0....
A block of mass 5 kg is being pulled straight down a line of greatest slope of a rough plane by a force of magnitude 20 N. The plane is inclined at...
A particle starts from rest at a point O. The acceleration of the particle at time t s after leaving O is a m s⁻², where a = 2(t+1)⁻½ - 1 for t ≥ 0...
Four coplanar forces of magnitudes 20 N, 30 N, 15 N and 25 N act at a point P in the directions shown in Fig. 7.1. The forces act in a vertical pla...
The diagram shows the velocity-time graph for the motion of an athlete. The athlete runs in a straight line from point A to point B, runs back to p...
The engine of a motorcycle can generate a maximum power of 105kW. The mass of the motorcycle and its rider is 400kg. The total resistance to the mo...
A block of mass 4kg is pulled along a rough horizontal road by a constant force of magnitude 25 N acting at an angle of 36° above the horizontal. T...
A particle P moves in a straight line. At time ts after passing through a point O on the line, the displacement of P from O is sm, where s = 0.01t³...
Particles A and B, of masses 2kg and 6kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fix...
Particle P of mass m kg and particle Q of mass 2 kg are free to move on a smooth horizontal plane. P and Q are moving directly towards each other w...
A particle P of mass 6 kg lies on a rough plane inclined at an acute angle θ to the horizontal. A horizontal force of magnitude 12N acts on P as sh...
The random variable X takes the value x with probability kx², where k is a constant and x takes the values -2, 1, 2, 3 only.
A fair six-sided dice with faces labelled 1, 2, 3, 4, 5, 6 is thrown repeatedly until a 6 is obtained.
The back-to-back stem-and-leaf diagram shows the annual salaries, in dollars, of 27 employees at each of two companies, Browns and Greens. Browns ...
Bag A contains 8 red marbles and 3 blue marbles. Bag B contains 4 red marbles and 1 blue marble. A marble is chosen at random from bag A. If the ma...
On any given day, Cooper either wears a blue jumper or he wears a green jumper or he does not wear a jumper. The probability that he wears a blue j...
A factory produces chocolate bars. The weights of the bars are normally distributed with mean 155 g and standard deviation 6 g. A random sample of ...
How many different arrangements are there of the 10 letters in the word SEYCHELLES?
A coin is biased so that the probability of obtaining a head when it is thrown is 0.4. The coin is thrown repeatedly until the first head is obtained.
Kayla has a bag containing 3 red marbles, 1 blue marble and 2 green marbles. She selects one marble from the bag at random and does not replace it ...
The heights of the 124 Senior members of the Giraffes basketball club are normally distributed with mean 187.4 cm and standard deviation 6.4 cm. Th...
Gio has a pack of 18 cards. Ivy has a pack of x cards. Each card has a picture of a bus or a car or a train. The number of cards with each picture ...
The times of 240 competitors taking part in an event are recorded correct to the nearest minute. The results are summarised in the table. Time (min...
For a randomly chosen person, their next birthday is equally likely to occur on any day of the week, independently of any other person's birthday.
The 10 letters in the word ZOOLOGICAL are Z, O, O, L, O, G, I, C, A, L.
There are a large number of students at Greenfield college. Each student travels to college by car, by bus or on foot, independently of any other s...
The Splash Club has 26 members, of whom 16 are swimmers and 10 are divers. No member is both a swimmer and a diver. The club committee consists of ...
Find the number of different arrangements of the 9 letters in the word DAFFODILS in which there is a D at each end and the two Fs are not next to e...
A fair red spinner has 4 sides, numbered 1, 2, 3, 4. A fair blue spinner has 4 sides, numbered 0, 1, 2, 3. When a spinner is spun, the score is the...
Chen has three boxes. Box A contains 5 counters, of which 3 are white and 2 are yellow. Box W contains 4 red marbles and 3 blue marbles. Box Y cont...
Last Saturday, a cycling competition for teams of 11 cyclists took place. For each cyclist, the time taken to complete the course was recorded to t...
The times taken by Obi to walk to work each morning are normally distributed with mean 14.8 minutes and standard deviation 1.5 minutes.
The random variables X and Y have independent distributions X ~ Po(3) and Y ~ Po(2) respectively.
The mean mass of packets of Trueleaf tea is supposed to be 500 grams. An inspector wishes to test whether this value is correct. He weighs 60 rando...
The data produced by a certain data entry firm always include a small number of incorrect characters that occur at random. The proportion of incorr...
The masses of a certain species of animal are known to be normally distributed with standard deviation σkg. A researcher obtains the masses of a ra...
It is known that 20% of households in a certain country contain more than 4 people. Laxmi believes that, in her town, the percentage is lower than ...
The masses, in kilograms, of large and small bags of potatoes have the independent distributions N(2.5, 0.05) and N(0.8, 0.02) respectively.
The time, in minutes, taken by students to complete a test is modelled by the random variable X with probability density function f(x) = { -3/4(x-3...
The number, X, of used computers donated to a charity has a constant average rate of 2.4 computers per week.
The random variable X has a normal distribution with mean 10 and standard deviation 3. The independent random variable Y has a Poisson distribution...
The times, in minutes, taken by students to complete a test have mean μ and standard deviation σ. The times taken by a random sample of 100 student...
An inspector believes that 18% of cups made at a certain factory contain flaws. The factory owner claims that the true percentage is less than 18%....
A random variable X has probability density function given by f(x) = { k(2x²-x³) 0 ≤ x ≤ 2, { 0 otherwise.
The weekly profit, in dollars, made by a certain firm has a normal distribution. In the past, the weekly profit had the distribution N(736, 26²). F...
The following text is taken from a New Zealand newspaper. An evolving health crisis of childhood obesity is upon us. Is this the generation where c...
The following text is the opening of the novel A Fine Balance, by Rohinton Mistry. The novel is set in India in the 1970s. Dina Dalal seldom indulg...
The following extract presents the American writer Eleanor Clark's first impressions on visiting Rome in the 1940s. Fountains You walk close to you...
The following extract is taken from the novel The Namesake by Jhumpa Lahiri. Gogol and Sonia have been brought up in America and are now visiting I...