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 diagram shows a square ABCD joined to a right-angled triangle BEC. BE = 6 cm and EC = 7 cm. Calculate the area of the pentagon, ABECD. [Figure ...
The speed-time graph shows the motion of a car. [Figure 18.1]
One day in 2016 the population of Nepal was 28795701. Write this number correct to three significant figures.
A paving slab is a cuboid with length 40cm, width 20cm and depth hcm. Its volume is 2400 cm³. [Figure 20.1]
p = [[3], [4]] q = [[-4], [3]]
s = ³√(t+4) Find s when t = 121.
State which of the figures above could be the graph of [Figure 23.1]
Show that (12/(x+2)) + (10/(x-1)) = 7/2 can be simplified to give the equation 7x² - 37x - 30 = 0.
Evaluate 4/11 - 2/7.
Cecil bought a camera for $120. After two years he sold for $90. Calculate the percentage loss.
0.05 -0.3 1.3 -1.2 0.2 Arrange the five numbers in order, starting with the smallest.
y is inversely proportional to the square of x. Given that y = 10 when x = 3, find y when x = 1/2.
Factorise 25t² – 4.
A rectangle has length 64 mm and width 37 mm each correct to the nearest millimetre.
Triangle OPQ is part of a figure that has rotational symmetry of order 2 about the point O. Complete the figure.
Solve 4/(x-11) = 1/(3x).
Express each of the following as a single fraction in its simplest form.
By writing each number correct to 2 significant figures, calculate an estimate of 596 × √16.12 / 0.2984
f(x) = 1/(3x + 2) Find f(-2).
A dice is thrown 400 times. The results are shown in the table. Number thrown: 1, 2, 3, 4, 5, 6 Frequency: 65, 80, 70, 75, 50, 60
In a school of 270 children, the distance each child can swim was recorded. The distances are summarised in the table. Distance (d metres): 0 < d <...
An irregular polygon has 22 sides.
During two weeks, a shopkeeper records the number of packets of two different types of tea he sells and the profit he makes from them. Week 1 : Typ...
The masses of 200 beetles were measured. The results are summarised in the cumulative frequency table and part of the cumulative frequency curve is...
The diagram shows a pyramid. The square base, ABCD, has an edge of 3 cm. The base is horizontal, and vertex E is vertically above D, where ED = 4 cm.
The region R is defined by the inequalities 2 ≤ x ≤ 8, 5 ≤ y ≤ 10, x + y ≥ 10. On the diagram, shade and label the region R.
On the diagram, construct the perpendicular bisector of AB.
N = 2 × 10⁸ Giving your answers in standard form, find the value of N × 700,
The first four terms, u₁, u₂, u₃ and u₄, in a sequence of numbers are given below. u₁ = 1 × 3 + 2² = 7 u₂ = 2 × 4 + 3² = 17 u₃ = 3 × 5 + 4² = 31 u₄...
The diagram shows a circle, centre O, that passes through A, B, C and D. The tangents at A and B meet at T. ATB = 62° and DÂB = 53°.
A = (4 -1 / 2 0) B = (6 -3 / 0 -2)
Triangle A is mapped onto triangle B by a translation, followed by an enlargement with centre (10, −4). The translation maps triangle A onto triang...
The diagram is the speed-time graph for 60 seconds of a train's journey. At the beginning of this part of the journey the train is travelling at u ...
Use set notation to describe the shaded region in the Venn diagram.
Sami invests $2000 in an account paying compound interest at a rate of 1.8% per year. Calculate the total interest paid to Sami after 3 years.
Solve 4(p − 3) = 2p + 7.
Twelve lettered tiles spelling the word TRIGONOMETRY are placed inside a bag. T R I G O N O M E T R Y
1, 7, 13, 19, 25, ...
ABC is a triangle with AC = 6cm and BC = 9 cm. AB has been drawn below.
The diagram shows the net of an open box of height 3 cm. The area of the base of the box is 15 cm². The length of the rectangular base is x cm. The...
The grid shows triangles A and B and rectangle R.
The diagram shows a sector of a circle of radius 8 cm and angle 70°.
A boat leaves A and travels 12 km to B.
The grid shows the line 4y = x + 2. By drawing appropriate lines, indicate the region R defined by all these inequalities. x ≥ 1 x+y≤5 4y ≥ x + 2
Each week Leah works 5 days and is paid a total of $682. Each day she works from 0845 until 1215 and then from 13 15 until 1730.
Jenny recorded the time, in minutes, of 40 movies. The table summarises her results. Time (t minutes) | 60<t≤80 | 80<t≤100 | 100<t≤120 | 120<t≤140 ...
Solve 3(x + 10) = 12 - 7x.
& = {x : x is an integer 1 ≤ x ≤ 18}, A = {x : x is a prime number}, B = {1, 2, 3, 4, 6, 9, 12, 18}.
OAB is a sector of a circle, centre O, radius 11 cm. AOB = 134°. [Figure: sector OAB with radius 11cm and angle 134 degrees] A cone has height 9.5...
Complete the table for y = x²/2 - 3x + 2. x | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 y | 2 | | -0.5 | -2 | -2.5 | -2 | -0.5 | | 2