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.
The cumulative frequency diagram shows information about journey times. [Figure 15.1]
Points Q, R, S and T lie on a circle, centre O. UV is a tangent to the circle at T. SOQV is a straight line. Angle QST = 32°. [Figure 16.1]
The diagram shows a prism. [Figure 17.1] The cross-section of the prism is an isosceles triangle with sides 13 cm, 13 cm and base 10 cm. The length...
Write 0.14 as a fraction.
g(x) = x/2 + 4 h(x) = 3x - 1 Solve hg(x) = 5.
Write as a single fraction in its simplest form. 5/(2x) - 4/(7x)
Evaluate. 27^(-2/3)
The table shows some values for y = x³-3x+2.
Simplify. √8 × √6 + √3
The diagram shows a rectangle and a triangle. [Figure 24.1] The length of the rectangle is x cm and the area of the rectangle is 30 cm². The triang...
Factorise. 6x³ + 5x² - 4x
The diagram shows triangle OAB. [Figure 26.1] OA = a and OB = 4b. T is a point on AB such that AT : TB = 3 : 2.
Ruth records the colour of each of 24 cars. Red Blue Silver Blue Silver Silver White Silver Red Silver Silver Blue Grey Grey Silver Red White Red B...
Work out. 0.78 - 0.2
ABCD is a parallelogram. E is a point on AB and EC = BC. Angle ECB = 40° and angle DEC = 60°. Find the value of x. [Figure: parallelogram ABCD with...
Petra thinks of a number. The number is a multiple of 7. Petra says: When I write my number correct to the nearest ten it is 30. Find the number th...
Write these numbers in order of size, starting with the smallest. 0.8 7 9 17 20 84.5%
Solve. 6x - 3 = 4x + 9
Write down the inequality represented on the number line. [Figure: number line with open circle at 3 and arrow pointing right]
Point A and point B are plotted on the grid. [Figure: Cartesian grid with points A(-2,1) and B(4,3) plotted]
Sara has a bag containing 60 red counters, 72 blue counters and 36 green counters. Find the ratio of red counters : blue counters : green counters ...
Work out. 1 2/5 ÷ 3/10 Give your answer as a mixed number in its simplest form.
Shape A and shape B are drawn on the grid. [Figure: Cartesian grid with Shape A (triangle at (1,2), (1,3), (2,3)) and Shape B (triangle at (-4,-1),...
Luca has these two fair spinners. [Figure: Spinner A with numbers 2, 4, 6, 8. Spinner B with numbers 1, 1, 3, 5]
Thomas works in a shop. He is paid $12 for each hour he works. He is also paid a bonus of 5% of the value of the items he sells. One day, Thomas wo...
A, B, C and D are points on a circle, centre O. EF is a tangent to the circle at A. Angle BAF = 65° and angle AOD = 80°. Find angle BCD. Give a geo...
Complete the table for y = x³ - 4x² + 12. [Table with x values -2 to 4, and y values -12, 7, 12, 9, 4, 3 filled in, missing y for x=0, x=1, x=2, x=...
Expand and simplify. (3+√2)(1+4√2)
Triangle ABC is similar to triangle PQR. [Figure: Triangle ABC with AB=6cm, AC=7cm. Triangle PQR with PQ=9cm. Angle at B and Q marked same, angle a...
The diagram shows a solid cylinder and a solid hemisphere. [Figure: Cylinder with height 6cm. Hemisphere. NOT TO SCALE] The radius of the cylinder ...
Evaluate 16^(-3/4).
f(x) = ax + 3 g(x) = (x+b)² a and b are positive integers.
OPQR is a parallelogram. OP = a and OR = 2b. M is the midpoint of QR. N is a point on PQ and PN : NQ = 1 : 3. [Figure: Parallelogram OPQR. Vectors ...
Ade and Maha make cards. One day they each work for 4 hours making cards. Ade takes x minutes to make one card.
The diagram shows a square-based pyramid. X is the centre of the square base. Vertex E is vertically above X and EX = 7 cm. The perpendicular heigh...
From the list, write down 52 √169 27 √8 12/23 49
Insert one set of brackets to make the calculation correct. 4.2 - 3 x 5 + 1.2 = 7.2
In this question, all lengths are in centimetres. The diagram shows the net of a cuboid. [Figure showing a net of a cuboid with dimensions 3, 5.2, ...
The table shows the examination marks for mathematics and physics for each of 9 students. [Table with Mathematics mark and Physics mark] [Scatter d...
The diagram shows an isosceles triangle. [Figure of an isosceles triangle with a top angle of 56°, base angles marked with x and an exterior angle ...
Work out. (12 - √6) / 0.3² Give your answer correct to 2 decimal places.
Work out the size of the interior angle of a regular decagon.
John invests $240 in an account that pays simple interest at a rate of 2.35% per year. Calculate the total amount of interest he receives at the en...
The exchange rate between euros (€) and pounds (£) is €1 = £0.88 . The exchange rate between dollars ($) and pounds (£) is $1 = £x. Ling changes €5...
Here are the first four patterns in a sequence using dots. [Figure showing 4 patterns of dots] Pattern 1 Pattern 2 Pattern 3 Pattern 4
A is the point (-4, 3) and B is the point (2, -7).
Write 0.0142 in standard form.
Solve the simultaneous equations. You must show all your working. 2a + 5b = 1.5 3a - 10b = 42.5
The population of a country increases exponentially at a rate of 3.6% per year. On 1st January 2024 the population of the country is 5.4 million. C...
x = 2² × 3ⁿ⁺¹ × 7 y = 2ⁿ × 3² × 7⁴ n is a positive integer greater than 2. Find the highest common factor (HCF) of x and y. Write your answer as th...