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.
Complete the table. Fraction | Decimal | Percentage ------- | -------- | ---------- 1/2 | 0.5 | 50% 3/20 | ... | ... ... | ......
The table shows some information about the temperatures in a city. Date | Maximum temperature | Minimum temperature ----------- | ----------...
Express 96 as a product of its prime factors.
The table shows information about some flights from Dubai to Mumbai. Departs Dubai (local time) | Arrives Mumbai (local time) | Flight duration ---...
y is directly proportional to the square of x. When x = 10, y = 20. Find the value of y when x = 6.
50 students are asked what type of movie they like to watch. Of these students, • 26 like comedy, • 15 like both action and comedy and • 8 like nei...
Solve the simultaneous equations. 6x + y = 1 4x - y = 4
Simplify 5x^7y / 15x^3y^4
The diagram below shows triangle ABC. [Figure 12.1]
Write these values in order of size, starting with the smallest. 2^5 5^2 ^3√1000 27^0
The coordinates of the midpoint of the line AB are (1, 2). The length of the line AB is 10 units.
The diagram shows the lines x + y = 8 and 2y = x + 4. [Figure 15.1]
Anil has some sweets with a mass of 600 g, correct to the nearest 10 grams.
In the diagram, the bearing of B from A is 170°. The bearing of A from C is 060°. The bearing of C from B is x°. [Figure 17.1] Given that triangle ...
The diagram is the speed-time graph for part of a car's journey. [Figure 18.1] The retardation of the car between t = 8 and t = 12 is 4 m/s².
AB is a diameter of the circle, centre O. PA and QB are tangents to the circle at A and B respectively. Prove that triangle PAO is congruent to tri...
A bag contains 10 counters of which 8 are blue and 2 are white. Two counters are taken from the bag at random without replacement.
The table shows the values of the function f(x) for some values of x. x | 1 | 2 | 3 | 4 | 5 ----|---|---|---|----|---- f(x)| 5 | 7 | 9 | 11 | 13...
The table shows the populations, correct to 2 significant figures, of some African countries in 2014. Country | Population --------|----------- Nig...
The table and histogram show some information about the times taken by a group of students to travel to school one day. Time (t minutes) | 0 < t ≤ ...
The diagram shows a sector of a circle with radius 3r cm and angle a° and a circle with radius r cm. [Figure 24.1] The ratio of the area of the sec...
The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.
Make p the subject of the formula t = (p + 3) / (p - 4)
A shopkeeper buys some plates from a manufacturer for $12 each.
Solve the equation (p-1)/(7-p) = 5.
The table below is for y = x²+x-3. x | -3 | -2 | -1 | 0 | 1 | 2 y | 3 | -1 | -3 | -3 | -1 | 3 [Figure 3.1]
[Figure 4.1] ANB, BLC and CMA are straight lines. NM is parallel to BC and LN is parallel to CA.
(a) [Figure 5.1] AB is vertical and CB is horizontal. AB = 31 m and CB = 115 m. Calculate the angle of depression of C from A. (b) [Figure 5.2] J a...
A = ((4 -1), (1 3)) B = ((2 0), (7 -5))
(a) [Figure 7.1] AC is a diameter of the circle, centre O, radius 5 cm. ACB = 64°. Calculate the length of the minor arc BC. (b) [Figure 7.2] A bak...
(a) p = (8-5q)/q (b) [Figure 8.1] The lengths of the parallel sides of trapezium A are x cm and (x – 2) cm. The lengths of the parallel sides of tr...
(a) [Figure 9.1] ABCD represents the rectangular sloping surface of a triangular prism. ABEF is a horizontal rectangle. CE and DF are vertical. CBE...
100 electric light bulbs of Brand A were tested to find how long each bulb lasted. The results are summarised in the table below. Time (t hours) | ...
(a) Triangle ABC has vertices A(2, 2), B(3, 5) and C(4, 1). Triangle A'B'C' has vertices A'(−4, 4), Β΄(−3, 7) and C'(−2, 3). (b) PQRS is a parallel...
Each year the Reds play the Blues in a baseball match.
JK = (2; 5), KL = (4; -2), LM = (-1; 3) Find JM.
Steven asked 25 women how many children they have. The results are summarised in the table below. Number of children | Frequency ------------------...
Triangle ABC has sides AB = 8 cm, AC = 7 cm and BC = 12cm. Use a ruler and compasses to construct triangle ABC. Side AB has been drawn for you. [Fi...
Factorise fully 8x²y - 12x⁵.
E = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } A = { x : x is a prime number } B = {x: x is an even number } C = { x : x is a multiple of 5 } List the m...
One day, garage A records the amount of petrol bought by the first 120 customers. The results are summarised in the table below. Petrol (k litres) ...
The table below shows some values of x and the corresponding values of y for y = ¼ x 2^x. x | 0 | 1 | 2 | 3 | 4 | 5 --|-----|---|---|---|---|--- ...
The diagram shows a vertical wind turbine with blades 30m long. The blades are stationary with the point A being the maximum distance possible from...
Triangles A, B, C and D are drawn on a centimetre square grid. [Figure 10.1]
[Volume of a cone = ⅓ πr²h]
Evaluate 0.2×0.08.
All the angles are right angles. All the lengths are in centimetres. [Figure 2.1 - A composite shape with overall dimensions 6 and 4, drawn on a gr...
[Figure 3.1 - A quadrilateral ABCD with AB parallel to DC. Diagonals AC and BD intersect at E. Triangle ADE is right-angled and isosceles with AD =...
Express 36 as the product of its prime factors.
Carl spent t minutes on his English homework. He spent three times as long on his Mathematics homework as on his English homework. He spent a total...