Cambridge Past Paper Questions
Browse 23,045questions from 25 years of O-Level & A-Level exams. Click any question to practice.
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...
Analyse two ways LT can measure whether tours meet customers' expectations.
Evaluate the impact on LT of giving some tour guides an employment contract with a guaranteed number of tours per month.
Luxury Hampers (LH) In 2015 Loretta bought LH, an established food hamper business. A hamper is a gift box or basket containing food and drink. Lor...
Evaluate the extent to which leadership contributed to BV's effective strategic management between 2009 and 2022.
Advise the Board of Directors on a marketing strategy to use when BV enters the market in country X.
Riches Hotels and Resorts (RHR) RHR was set up in 1965 by Gabriel Riches. It owns hotels around the world, which offer 'all-inclusive' holidays th...
Advise Carmen on whether the use of a core competence framework is sufficient to develop a successful new business strategy for RHR.
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Samira left school at the age of 18 in country H. She had a small amount of savings and an idea to create a flexible, removable and reusable whiteb...
FD is a private sector business that manufactures an international brand of carbonated drinks. Its slogan was 'A premium drink for premium customer...
PS is a private limited company operating in country H. It sells perfume for men and women using its own website. PS purchases the perfume in large...
Yazeem is a highly skilled shoemaker. He opened CS in 1975, as a sole trader, to design and repair shoes. When Yazeem set up CS the main target mar...