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.
f(x) = (3x - k)/4 Given that f(11) = 7, find the value of k.
The diagram shows triangles A and B. [Figure: Coordinate plane with triangle A (vertices at approx (3,2), (5,1), (4,2)) and triangle B (vertices at...
A is the point (0, 3), B is the point (1, 5) and C is the point (p, −1).
In the diagram, P, Q, R, S and T lie on the circle. QT is a diameter of the circle, centre O. X is the point of intersection of PS and QT. P\hat{X}...
The diagram is the speed-time graph for 25 seconds of a car's journey. [Figure: Speed-time graph. Speed (m/s) on y-axis, Time (t seconds) on x-axis...
A pentagon has four angles of 2x° and one angle of x°. Calculate the value of x.
Write 54 as the product of its prime factors.
OACB is a parallelogram. \vec{OA} = \mathbf{a} and \vec{OB} = \mathbf{b}. P and Q are points on OC such that OP = PQ = QC. [Figure: Parallelogram O...
A container is made out of thin material in the shape of a cuboid with an open top. The container has length 15 cm and width 8 cm. The volume of th...
Solve 7x/(4 - 3x) = 3.
A bag contains n balls. 3 of the balls are white. Two balls are taken from the bag, at random, without replacement. [Figure: Incomplete tree diagra...
Trevor has a collection of 54 toy vehicles. Of these, 24 are cars, 12 are vans and the rest are trucks.
In 2016 Amira's income was $36720.
Humanities: Geography (G) History (H) Religious studies (R) Science: Physics (P) Chemistry (C) Biology (B) A student has to choose one humanities s...
A = (2 0 \ 4 -1) B = (2 -1 \ 6 -1)
The table below is for y = x³ - 3x - 1 . X -3 -2 -1 0 1 2 3 y -19 -3 1 -1 -3 1 [Figure: Graph grid provided for plotting]
(a) [Figure with D, B, North arrow, A, C with distances 15, 12, 8] A, B, C and D are four towns. B is 12 km due north of A, C is 8 km due east of A...
Factorise completely 12a²b - 15ab³ .
[Figure: Pattern 1, Pattern 2, Pattern 3, Pattern 4 (partially complete)]
(b) [Figure: Pentagon ABCDE with angles and lengths] ABCDE is a pentagon. AB = 18 cm, BC = 16 cm, CD = 11 cm and EA = 7 cm. EAB = 115° and BDC = 28°.
(a) [Figure: Circle with points A, B, C, D on circumference, O at centre, angles 2y°, 120°, x°, y° shown] A, B, C and D lie on the circumference of...
80 people were each asked how much they spent on clothes last month. The results are summarised in the table below. Amount spent ($ c) Frequency 0 ...
(a) [Figure: Triangle ABC] ABC is a triangle. B and D are points on opposite sides of the line AC. DA = 9 cm and CD = 7 cm. (b) [Figure: Quadrilate...
FLIGHTS TO SYDNEY Cost per person: $1199 ACCOMMODATION Cost per adult per night: $55 Cost per child per night: $40 INSURANCE COVER FOR UP TO 20 D...
The table below shows the population, given to the nearest thousand, of some countries. Country | Population in 2014 | Population in 2015 Pakistan ...
Rowena spins two fair spinners, each numbered 1 to 4. Her score is the value when the numbers on the two spinners are multiplied together. The tabl...
A = ( (3 -2) (-4 2) ) B = ( (5 3) (-2 1) ) C = ( (-2) (1) )
Express as a single fraction, as simply as possible, 1/(2x) + 2/(5x) .
Triangle PQR has a right angle at P, angle PRQ = 38° and RQ = 12cm. [Figure of triangle PQR]
The diagrams show patterns made from crosses (X) and circles (O). [Figure of Patterns 1-4]
ABCDE is the cross-section of a building. All the lengths are given in metres. [Figure of building cross-section]
A random number, x, is generated, where x is any real number.
The diagram shows the position of point A. Point B is 8 cm from A on a bearing of 062°. Point C is 6.5 cm from A on a bearing of 194°. [Figure of N...
The table below summarises the times taken by 50 athletes to run 400 m. Time (t seconds) | 50 ≤ t < 55 | 55 ≤ t < 60 | 60 ≤ t < 65 | 65 < t < 70 | ...
OAB is a sector of a circle, centre O, and radius 10 cm. AÔB = 72° and C is the point on the arc AB such that OC bisects AÓB. [Figure of sector OAB]
Evaluate (3.5 - 1.9) / 0.8
Work out 15% of 80.
Write these numbers in order of size, starting with the smallest. 1/3, 0.32, 15/40, 0.3, 9/31
The diagram shows part of a shape which is symmetrical about the line L. Complete the shape. [Figure 4.1]
A plane leaves London on a flight to Dubai.
What fraction of this 4 × 4 square is shaded? [Figure 6.1]
Usama recorded the number of items bought by each of 20 customers at a shop. The results are shown in the table. | Number of items bought | 1 | 2 |...
A, B and C are points on the circumference of a circle centre O. O is the midpoint of BC and ABC = 38°. Tangents are drawn from T to touch the circ...
Find the integers that satisfy 1 < 3x + 5 < 11.
The scale diagram below shows a barn ABCD. AB = 7 m and BC = 4 m. On the diagram 1 cm represents 1 m. A horizontal rail is attached to the outside ...
Find a and b. The matrix equation is: [[2a-4, b], [-1, 3]] = [[7, 10], [15, 2]]
Basia records the colour of 100 cars passing the school gate. Her results are recorded in the table. | Colour of car | Black | Grey | Red | Blue | ...
The table below shows the masses of 10 mothers and their babies at birth. | Mass of mother (kg) | 64 | 90 | 54 | 102 | 57 | 105 | 70 | 89 | 57 | 75...
f(x) = 3 - 2x g(x) = 4x³ - 1
Evaluate 3³ - 3⁰.