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.
In the diagram, B is the point (8, 2). The equation of the line AB is y = 2 and the equation of the line AC is 2x - y = 3. BC produced passes throu...
Simplify (3a⁴)².
A regular polygon has interior angles of 160°.
A series of shapes, made of matchsticks, is shown below. [Figure 20.1] Shape 1 Shape 2 Shape 3 Shape 4
The time taken to fill a tank with water varies inversely as the area of cross-section of the The time taken is 40 minutes when the area is 3 cm².
A = (5 2 \ -1 1) Find the determinant of A.
Ali and Ben each made a journey between two towns, P and Q, that are 60 km apart. These two journeys are shown on the travel graph. [Figure 23.1]
In the diagram, ABCD is a parallelogram. P is the midpoint of BC. DQ: QP = 1 : 2. AB = p and AD = q. [Figure 24.1]
The diagram below shows quadrilateral ABCD. [Figure 25.1]
In the diagram, AB touches the circle, centre O, at T. OB intersects the circle at C. [Figure 26.1]
Evaluate 3 2/5 - 2 5/6.
Evaluate 0.7 + 0.2 × 0.3 .
Alice and Brenda share $300 so that Alice's share : Brenda's share = 3 : 7. How much more does Brenda receive than Alice?
Arrange these lengths in order of size, starting with the smallest. 2300 mm 220 cm 0.021 km 2 1/4 m
Pierre goes on a holiday from France to the UK.
Write the number 0.000034 in standard form.
Estimate, correct to the nearest whole number, the value of sqrt(72.187 / pi). Show clearly the approximate values you use.
The mean mass of Ali, Ben and Carl is 40 kg. The mass of Dan is 48 kg. Find the mean mass of the four boys.
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]