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, the points A, B, C, D and E lie on the circle centre O. AD is a diameter. DÂC = 33° and AĈE = 70°. [Figure 17.1]
Solve the simultaneous equations. 2x + 5y = 2 3x + 4y = -4
The diagram shows the points O and R and the vectors a and b. [Figure 19.1]
The diagram shows the quadrilateral ABCD. [Figure 20.1]
A = (2 -1 / 1 3) Evaluate 3A – 2 (3 1 / -2 0)
The diagram is the speed-time graph of part of a car's journey. [Figure 22.1]
The diagrams show a sequence of triangles made up of identical sticks. Each triangle has two more sticks on each edge than its previous triangle. T...
A is the point (5, 2) and B is the point (9, 6). AC is parallel to the x-axis. CB is parallel to the y-axis. The equation of the line AB is x – y =...
Evaluate 9.03 - (4.273 + 2.3) .
Given that 192 × 64.3 = 12345.6, write down the values of
In the diagram, five small squares are shaded. Shade one more small square, so that the diagram has exactly one line of symmetry.
The total cost of 3 pencils is $1.23 . Find the total cost of 5 pencils.
In the diagram, ABC is a straight line and BF is parallel to DE. FBA = 74° and DBF = 65°. [Figure 5.1]
By making suitable approximations, estimate the value of √(3.98 × 602.3) / 2.987 Show clearly the approximations you use.
The diagram shows triangle A. Triangle A is mapped onto triangle B by an enlargement. The enlargement has centre (3, 3) and scale factor -2. Draw a...
Write the number 513000 in standard form.
The diagram shows part of the histogram which represents the distribution of times taken by some people to travel to work. [Figure 9.1]
f(x) = 4 + 3x Find f(-2 1/2).
y varies inversely as the square of x.
A school recorded the number of absent students over a 50-day period. The results are given in the table. Number of absent students | 0 | 1 | 2 | 3...
Triangle ABC is mapped onto triangle A'B'C' by a rotation, centre O, through 110° clockwise. Draw and label triangle A'B'C'. [Figure 13.1]
In the Venn diagram, shade the region which represents the subset (A ∩ B') ∪ C . [Figure 14.1]
Solve the simultaneous equations. 3x + y = 9 2x + 3y = -8
Evaluate 3² + 3¹ + 3⁰.
Some money is shared between Ali, Ben and Carl in the ratio 5 : 3 : 2. Ben receives $60. How much money is shared?
Four cards are marked with the numbers 1, 2, 3 and 4. One card is chosen at random. A second card is then chosen, at random, from the remaining thr...
A box has a mass of 1.7kg, correct to the nearest 0.1 kg.
Solve the equation (2x - 1)/4 + (x - 2)/3 = 2.
[The volume of a sphere is (4/3)πr³] During a storm, raindrops fall into a cylinder which stands on horizontal ground. The cylinder was empty befor...
The diagram shows triangle ABC. [Figure 22.1]
The diagram shows a square piece of card, from which a triangle and two small squares are removed. All lengths on the diagram are in centimetres. [...
In the diagram, A, B, C, D and E lie on the circle, centre O. BOE is a straight line. DAB = 34° . [Figure 24.1]
In the diagram, the line 3y + 2x = 13 meets the axes at A and B. [Figure 25.1]
Two sequences have 1, 3, 5 as their first three terms.
The diagram shows the speed-time graph of a car which slows down from 30m/s to 12m/s in 20 seconds, and then continues at a speed of 12 m/s. [Figur...
In 2016, the price of a television is $1995.
Evaluate √(543 / (28.6 - 1.35)).
In the diagram, ABCD is a parallelogram. P and Q are points on AB and BC respectively, such that PB = BQ and DPQ = 90°. BPQ = a°. [Figure 3.1]
[The volume of a sphere is (4/3)πr³] [The surface area of a sphere is 4πr²] A hemispherical bowl is made of material that is 0.8 cm thick. The outs...
The diagram shows a semicircle with radii OP and OQ drawn. The circle, centre C, touches the radii at A and B and the semicircle at T. The radius o...
The four walls of a building are faces of a cuboid ABCDEFGH. T is vertically above C and G, so ABT = ADT = 90°. The cuboid has length 9m, width 8 m...
The diagram shows the positions of four islands at A, B, C and D. A is due north of B. DÂC = 48°, CÂB = 55° and BĈA = 51°. AC = 19 km and AD = 27 k...
The table shows some values of x and the corresponding values of y, correct to one decimal place where necessary. y = (3/2) * 2^x x -1.5 ...
On Monday, Abdul sold 140 boxes of matches at 30 cents per box.
The times taken by 135 runners to complete a cross-country course were recorded. The results are summarised in the table. Time (t minutes) 20<t...
(a) In the diagram, AB = (-6, 11), AC = (12, -5). [Figure 11.1] (b) [Figure 11.2 - a graph with Triangle A and Triangle B] Triangle A has vertices ...
The basic price of the 2016 model of a car is $21000. Sayeed and Rasheed each buy this model of car.
Simplify (3a² / 10bc) ÷ (9a / 5b²c) .
Complete the table of values for y = (x/20)(x² - 10). X 0 1 2 3 4 5 y 0 -0.45 -0.6 -0.15 1.2
In the framework ABCD, BD = 3m. BDA = 27°, BCD = 41°. DBC and DÂB are right angles. [Figure showing a quadrilateral ABCD with given angles and side...