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.
y is inversely proportional to x. Given that y = 1/5 when x = 20, find y when x = 1/7.
In the diagram, the triangle ABC is equilateral. The bearing of B from A is 075°. [Figure X.X]
In an experiment, 4 dice are thrown and the number of Fives is recorded. The experiment is repeated 12 times. The table shows the results. Number o...
A bag contains 1 red and 3 blue balls. Two balls are taken from the bag, at random, without replacement. The tree diagram that represents all the o...
The mass of a box is 2 kilograms, correct to the nearest kilogram.
Evaluate 5^1 + 5^0,
The diagram shows the plan of a rectangular garden, measuring 11 m by 9m. All the angles are right angles. The pond is a square of side 4 m. The pa...
A = matrix((3, 0), (0, 1))
The quadrilateral ABCD is bounded by the lines x = 1, y = 2, 2y = x and x + y = 9. The region inside the quadrilateral is defined by four inequalit...
In the diagram, the dashed line is a line of symmetry. BAF = 2x°, FED = x° and CDE = 2x°. [Figure X.X]
f(x) = (x + 3) / 2 Find f^-1(x).
Given that A = { 1, 2, 3, 4, 5 } and B = { 3, 4, 5, 6, 7 }, find n( A union B ).
In the diagram, the points A, B, C and D lie on the circle. BD is a diameter. The tangents from T touch the circle at B and C. Angle ACB = 52° and ...
The diagram is the speed-time graph of part of a train's journey. The train slows down uniformly from a speed of 50 m/s to a speed of 10 m/s in a t...
The diagram shows the points A (−1, 8) and B (7, 2). [Figure X.X]
The sequence of positive integers is arranged in the pattern below. Row 1: 1, 2, 3 Row 2: 4, 5, 6 Row 3: 7, 8, 9 Row 4: 10, 11, 12 ... Row n: ..., ...
The diagram at the bottom of the page shows the lines AB and BC. [Figure X.X]
Express as a single matrix 2 * matrix((-1, -2), (0, 1)) - matrix((1, -3), (2, 3)).
Evaluate 2 3/4 - 1 13/16 .
Evaluate 0.02 × 1.2.
Express the ratio 30 minutes to 2 1/4 hours in its lowest terms. Give your answer in the form m : n, where m and n are integers.
Find two solutions of the inequality 3x + 4 < 11 that lie between 2 and 3.
The length of a side of a square is given as d cm, correct to the nearest 10cm. Find an expression in terms of d for
Evaluate 5 × 10⁰ + 3 × 10¹ + 1 × 10².
By making suitable approximations, estimate the value of (38.982 × √8.8536) / 6.0122. Show clearly the approximate values you use.
Giving each answer as a fraction in its lowest terms, evaluate
A television priced at $500 is sold for $400. Find the percentage discount.
In the diagram, the triangle ABC is equilateral. [Figure X.X] C is due East of B.
A model of a car is made to a scale of 1/40.
The lengths of the leaves of a plant were measured. The results are shown in the table. Length (x centimetres) 1 < x ≤ 3 3 < x ≤ 4 4 < x ≤ 5 5 < x ...
f(x) = (7 - 3x) / 2x Find f(4) .
Express, in set notation, the subset shaded in the diagram. [Figure X.X]
This figure has rotational symmetry of order 3. [Figure X.X]
An ordinary die is thrown 15 times. These are the numbers thrown. 4 5 3 2 2 5 6 1 6 3 5 2 5 1 3 Find the mode.
The diagram shows the points A(1, 4), B(3, 12) and C(15, 4). The equation of the line through B and C is 2x + 3y = 42. [Figure X.X] The region insi...
The diagram shows a hexagon. [Figure X.X]
[Volume of a cone = 1/3 πr²h] Cone 1 has radius 2x cm and height 7x cm. Cone 2 has radius x cm and height 4x cm. Find an expression, in terms of π ...
Two bags contain beads. The first bag contains 2 white, 2 red and 3 black beads. The second bag contains 3 white and 2 black beads. One bead is tak...
In the diagram, BC = 2p + q, CD = 2q – p and D is the midpoint of CE. [Figure X.X]
In the diagram, the circles, centres P and Q, intersect at B and E. ABC and APE are straight lines. BD is parallel to AE. BÊA = 36° and BQ̂C = 122°...
The diagram is the speed-time graph of part of a train's journey. [Figure X.X] The train slows down uniformly from a speed of u m/s to a speed of 6...
The first and second terms of a sequence are 15 and 11 respectively. The nth term of the sequence is 10 + An + B/n.
The diagram shows triangles A and B and the point P(0, 4). [Figure X.X]
A = (2 -3 / 1 4) Find (5 -3 / 6 2) - 2A.
Evaluate 10+2n² when n =−1.
Write 3% as a fraction.
x is an integer between 50 and 70 . Write down the value of x when
Factorise 2ac3bc-6bd + 4ad.
Express as a single fraction 2/3 ÷ 3/4.
Solve the simultaneous equations. 2x - 3y = 11 5x – 4y = 24