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.
A is the point (3, -2) and B is the point (5, 4).
The table shows the times taken by 80 people to complete a race. [Table with Time (t minutes) and Frequency]
Write as a single fraction in its simplest form.
A car travels 320 km, correct to the nearest 10 kilometres. This journey takes 5.2 hours, correct to the nearest 0.1 hour. Calculate the lower boun...
The diagram shows a triangular field, ABC. AB = 65 m, AC = 75 m and angle CAB = 125°. [Figure of triangle ABC]
Rearrange the formula to make a the subject. w = (2a+5) / (3a-1)
Sketch the graph of y = 2-3x. [Empty axes]
Solve. x/(x+3) - 4/(x-5) = 1
Expand and simplify. (x-1)(x+3)(3x-4)
The diagram shows a cuboid. EH = 12 cm, HG = 10 cm and GC = 7 cm. [Figure of a cuboid named ABCDEFGH]
Work out 75.66-40.23 / 2.19. Give your answer correct to 2 decimal places.
These are the scores for 12 students in a quiz. 16 27 20 15 25 21 10 24 35 16 32 22
Idris has 5 kg of rice. He cooks rice for 12 people. He uses 75 g of rice for each person. Work out how much rice Idris has left over. Give your an...
In triangle ABC, AB = 8.5 cm, AC = 6cm and BC = 7 cm.
Sofia invests $400 in a savings account. The account pays simple interest at a rate of 2.8% per year.
The scale of a map is 1: 5000. The length of a path on the map is 8.3 cm. Work out the actual length of the path. Give your answer in metres.
Factorise. 20x² - 5xy
Expand and simplify. 4(3x+2)+5(x+1)
The diagram shows a regular pentagon and a regular hexagon joined along one edge. Find the value of x. [Figure 9]
a = (-3 4) b = (8 -2) Work out 3a-b.
A factory makes batteries. A batch of 2000 batteries are tested and 28 are found to be faulty. The factory makes 125000 batteries. Calculate the nu...
Write 372000000 in standard form.
These are the first five terms of a sequence. 3 8 13 18 23 Find the next term of the sequence.
N=2ˣ×3ʸ×5¹. The lowest common multiple (LCM) of N and 360 is 16200.
The mass of a bag of potatoes is 2.5kg, correct to the nearest 0.1 kg.
The population of a town decreases exponentially at a rate of x% per year. The population of the town on 1 January 2020 was 120000. The population ...
Sketch the graph of each function. Show the value where each graph intersects the y-axis.
The equation of line L is y = x/5 + 3.
A group of 22 students are asked if they study Economics (E) or History (H). The Venn diagram shows the results. [Figure 19]
y is inversely proportional to (x-3)². y = 4 when x = 7.
Solve the equation. 2x+1 / x+4 + 5 = x. You must show all your working and give your answers correct to 2 decimal places.
ABCD is a field. A straight path crosses the field from B to D. [Figure 22]
The diagram shows a shaded area in a large circle, centre O. The radius of the large circle is 10 cm. OAB is a sector of a small circle, centre O. ...
Owen records the mass of each of 250 onions. The histogram shows the results. [Figure 24]
Differentiate with respect to x
Find the first 3 terms of the expansion, in ascending powers of x, of (1 + 3x)6.
Find the set of values of k for which the equation x2 + (k – 2)x + (2k – 4) = 0 has real roots.
Copy the Venn diagram [Figure 4(a)] above and shade the region that represents (A ∩ B) U C.
Solve the equation 3x(x² + 6) = 8 – 17x2.
Given that log8p=x and log8q = y, express in terms of x and/or y
The function f is defined by f(x) = (2x + 1)² - 3 for x = -1/2.
Solve the equation (23 – 4x) (4x + 4) = 2.
Variables x and y are related by the equation y = 5x + 2 – 4e⁻ˣ. Find dy/dx
Solve 4 sinx = cosx for 0° <x<360°,
Answer only one of the following two alternatives. EITHER A curve has equation y = ln x / x², where x > 0.
OR A curve is such that dy/dx = 6 cos(2x + π/2) for -π/4 <= x <= 5π/4. The curve passes through the point (π/4, 5).
Find the coordinates of the points of intersection of the curve y² + y = 10x - 8x² and the line y + 4x + 1 = 0.
The expression 6x³ + ax² − (a + 1)x + b has a remainder of 15 when divided by x + 2 and a remainder of 24 when divided by x + 1. Show that a = 8 an...
Given that OA = ( -17 / 25 ) and OB = ( 4 / 5 ) find
Variables x and y are such that, when y² is plotted against secx, a straight line graph passing through the points (2.4, 1.6) and (1.3, 3.8) is obt...