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 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...
In the diagram, A and B are the centres of two circles that touch at P. The line ACT touches the small circle at T and intersects the large circle ...
A = (2 0 / 3 1) B = (1 2 / -1 3)
P and Q are points on the circumference of a circle, centre O, radius R cm. The minor arc PQ = 20 cm and PÔQ = 48°. Show that R = 23.9, correct to ...
ABCD is a level playing field. AB = 65 m, BC = 70m and CA = 110m. CDA = 70°, DÂC = 58° and C is due South of B. [Figure showing a quadrilateral ABC...
ACB and OCD are straight lines. AC : CB = 1:2. OA = 3a and OB = 6b. [Figure showing a quadrilateral with vectors OA=3a, OB=6b, and points C, D, wit...
Six hundred candidates took a mathematics examination which consisted of two papers. Each paper was marked out of 100. The diagram shows, on the sa...
Evaluate 1 3/8 - 2/3.
Evaluate 9² – 9⁰.
Find the simple interest on $200 for 3 years at 4% per year.
By writing each number correct to 1 significant figure, calculate an estimate for the value of 987.65 / 0.0193
The diagram shows part of a figure that has AB as its line of symmetry. Complete the figure. [Figure 5.a]
As part of her training, Samantha runs for 2 hours. For the first 1½ hours she runs at an average speed of 10km/h. She runs 7 km in the remaining ½...
f(x) = 3x + 7 Find f(3.2).
y varies directly as the square of x. Given that y = 1/5 when x = 1/2, find y when x = 10.
Solve the inequality 12 – 2x < x.
One week the temperatures, in degrees Celsius, at midnight were recorded. The results are given below. -1 -3 2 5 -2 1 -2 Use these results to find
Write the number 0.00012 in standard form.
Solve the simultaneous equations. 2y = x + 12; 3y = 11 - 2x
In a survey, some people were asked which of three types of tea, labelled X, Y and Z, they preferred. The diagram shows part of a pie chart that il...
The table shows the square roots, given correct to 4 significant figures, of some numbers from 31.0 to 32.9. 0 0.1 0.2 0.3 0.4 0.5 0....
Simplify 8 – 3(2t + 1).
The coordinates of P and Q are (0, 7) and (10, −1).
The lengths of 90 leaves of a plant were measured. The results are given in the table. Length (t cm) 0<t≤1 1<t≤2 2<t≤3 3<t≤4 4<t≤5 5<t≤6 Frequency ...
The diagram represents a vertical, circular fairground wheel which turns about its centre O. The wheel has 30 seats, equally spaced around the circ...
Factorise 25a² – 5a.
The diagram shows the lines AB and BC. The point D is on the opposite side of AC to B. AD = 5 cm and CD = 6.5 cm. [Figure 20]
The diagram shows the triangle ABC formed by the lines y = 6, x = 23 and y = x/3. [Figure 21]
The diagram is the speed-time graph of a train which travels between two stations. [Figure 22]
In the Venn diagram, shade the region which represents the subset A' ∩ B ∩ C.
In the diagram, ABC and AFE are straight lines. AB = 6a and BF = 2b. [Figure 24]
Mary makes pendants, of the same design, from small beads. The sequence of diagrams shows the pendants she makes. [Figures 25]
A = [[0, -2], [1, 3]], B = [[3, 2], [-1, 0]]