Cambridge & Pearson Edexcel Past Paper Questions

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...

Which of the following numbers is prime? A 21 B 27 C 29 D 33

Simplify 5p × 3q.

The diagram shows a rectangle. The length of the rectangle is (3x+1) cm. The width of the rectangle is (x+2) cm. The perimeter of the rectangle is ...

The diagram shows a quadrilateral ABCD. Angle ABC = 90°, Angle BCD = 110°, Angle CDA = 80°. Work out the size of angle DAB. [Figure 1]

Here are the ages, in years, of 5 teachers: 28, 35, 42, 35, 50. Work out the mean age of these teachers.

Simplify fully (3x³y⁴)²

The price of a house increased by 20% in 2022. It then decreased by 15% in 2023. The price of the house at the end of 2023 was £340 000. Work out t...

Here is a list of numbers: 2, 5, 5, 6, 8, 9, 10.

Find the value of √67.24.

The price of a car is $£12000$. In a sale, the price is reduced by 15%. Calculate the sale price of the car.

Expand 4(x-3).

A solid metal sphere has radius r=5 cm. The formula for the volume of a sphere is V = 4/3π r³.

The histogram shows information about the heights of 70 plants.

Make x the subject of the formula P = 3x + ax/2

The region R, shown shaded in the diagram, is bounded by the straight line with equation y = 2x + 1, the x-axis and the lines x = 0 and x = 3. Work...

Simplify (5x^2y^−3)^2 / (10x^−3y^2)

The graph of y = f(x) is shown on the grid.

The curve with equation y = x^2 + 5x – 24 intersects the x-axis at the points A and B. Find the coordinates of A and B.

There are 8 counters in a bag. 3 of the counters are red. 5 of the counters are blue. Rachel takes at random 2 counters from the bag. Work out the ...

A and B are two points. The coordinates of A are (3, 7). The coordinates of B are (5, –4). Find the length of AB. Give your answer correct to 3 sig...

Here are two functions. f(x) = 3x – 1 and g(x) = x^2 + 2

The diagram shows a regular hexagon ABCDEF. The vectors AB = a and BC = b.

Given that x = 2^k and y = 2^m.

Given that 2^(2x – 1) = 8^(4 – y) and 3^(x + 1) = 9^(y + 3). Work out the value of x and the value of y.

The diagram shows a solid, made from a hemisphere and a cone. The hemisphere has radius r cm. The cone has radius r cm and height h cm. The total v...

The point A has coordinates $(3, 5)$ The point B has coordinates $(-1, 8)$ Calculate the gradient of AB