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.
Each time an archer fires an arrow, the probability that she hits the target is 0.7 . She fires two arrows.
The coordinates of P and M are (−3, 10) and (0, 4).
Express 3((3 1) (-5 -4)) - 2((1 -3) (0 2)) as a single matrix.
Factorise 9a² – 6a.
The diagram shows the triangle ABC.
The diagram is the speed-time graph of part of a train's journey.
In the diagram, the equation of the line AC is 7x + 5y = 35.
The sequence of diagrams shows patterns made from some black beads and some white beads. Each diagram has two rows more than the previous diagram.
In the diagram, OP = (-3, 4) and PQ = (2, 0).
Jasmine earns $12.50 for each hour she works. She works for 38 hours each week. She is given a pay increase of 6%. Calculate the total amount Jasmi...
Sunil recorded the lengths, in minutes, of the 150 phone calls he made one month. His results are summarised in the table. Length of call (t minut...
The diagram shows the positions of three towns, A, B and C. B is due north of A and the bearing of C from A is 220°. AB = 25 km and AC = 38km.
Adam has a bag containing 9 balls, numbered from 1 to 9.
Solve y / (2y+3) = 2 / (y+5) .
Find ACB.
The points (4, -3) and (0, 5) lie on the line L. Find the equation of line L.
[Volume of a cone = 1/3 πr²h] [Curved surface area of a cone = πrl] [Volume of a sphere = 4/3 πr³] [Surface area of a sphere = 4πr²] The diagram sh...
A pump takes 12 minutes to add 3000 litres of water to a pond. How long will it take the same pump to add 1750 litres of water to a pond?
Triangle A is shown on the grid.
ABCD is a rectangle. P and Q are points on DC. AQ and BP intersect at R. Prove that triangle ARB is similar to triangle QRP. Give a reason for each...
Sara buys a new car. The cash price of the car is $4500. She can pay for the car using option A or option B. Option A Pay 1/5 of the cash price th...
A company asked their employees how long they took to travel to work one day. The table summarises the times for 120 employees. Time (t minutes) |...
Anya makes T-shirts. The matrix, M, shows the number of T-shirts of different types she makes in one week. M = ( 10 25 30 ) Men ( 20 40 25 ) ...
(a) Triangle A is shown on the grid. [Figure Triangle A on grid] (b) Triangle P is shown on the grid. [Figure Triangle P on grid]
Express as a single fraction in its simplest form `4/(x-2) - 5/(x+1)`.
(a) & = {x : x is an integer and 10 ≤ x ≤ 20} A = {x : x is an odd number} B = {x : x is a multiple of 5} (b) In a survey, 40 people were asked wh...
(a) The variables x and y are connected by the equation y = `3+x-x²/2`. Some corresponding values of x and y are given in the table below. x (t mi...
The diagram shows two circles each with centre O. A, B, C and D are points on the circumference of the large circle. E, F and G are points on the c...
(a) The ventilation shaft for a tunnel is in the shape of a cylinder. The cylinder has radius 0.4m and length 15 m. (b) The diagram shows the cros...
A rectangular picture, ABCD, is placed inside a rectangular frame. [Figure of a rectangular picture inside a frame] The length, AB, of the picture ...
A vertical mast, XY, is positioned on horizontal ground. The mast is supported by four cables attached to the mast at P and to the ground at points...
Write 17 1/2 % as a fraction in its simplest form.
During one year, the mass of a child increased from 25 kg to 30 kg. Calculate the percentage increase in the mass.
Factorise completely 15a + 3ab.
f(x) = 3 / (x + 4) Find f(-6).
The value of each term of a sequence is 4 more than the value of the term before it. The third term is 17 and the fourth term is 21.
Write down an irrational number which has a value between 4 and 5.
In the diagram, AFGB, BGDC and FEDG are parallelograms. EF and BA produced meet at H. BGF = 130° and DGF = 120°. [Figure 9.1]
The diagram shows a closed box. The box is a cuboid. The measurements are in centimetres. [Figure 10.1]
N = 4 × 10⁵ Giving your answers in standard form, find
By writing each number correct to 1 significant figure, calculate an estimate for the value of 614.2 × 0.0304 / 19.88
The lengths of the times of telephone calls made by Ellie during one week are summarised in the table. Time (t minutes) | 0 < t ≤ 10 | 10 < t ≤ 20 ...
Evaluate (1/3)⁻².
A five-sided spinner is numbered 1, 2, 3, 4 and 5. Ashraf spun the spinner 200 times. The results are shown in the table. Number spinner lands on |...
A boat travels from P to Q. At Q, it turns through 90° and travels to R as shown in the diagram. It then returns from R to Q, and then to P, follow...
120 = 2³ × 3 × 5 Express 1200 as the product of its prime factors.
Four interior angles of a hexagon are 100°, 110°, 120° and 140°. The remaining two interior angles are equal to each other. Calculate the size of o...
[Figure 19.1] Measure angle ABC.
A = (2 -1 / 0 1) B = (4 3 / 6 -2)
In the diagram, the equation of the line • through B and C is 6x + 7y = 42 • through A and B is y = x/5 [Figure 21.1]