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 triangles A and B. [Figure 22.1]
In the diagram, ABCD is a parallelogram. X is the point on BC such that BX : XC = 3 : 1. AB = 6p and AD = 8q. [Figure 23.1]
The diagram is the speed-time graph of part of a train's journey. [Figure 24.1] The train slows down uniformly from a speed of 44 m/s to a speed of...
In the triangle ABC, P and Q are points on AB and AC such that PQ is parallel to BC. AP = 3 cm, PB = 5 cm and BC = 12 cm. [Figure 25.1]
Evaluate 1/8 + 2/5 .
200 grams of a spice cost 85 cents. Find the cost, in dollars, of 1 kilogram of this spice.
y is inversely proportional to x. Given that y = 30 when x = 1/3, find y when x = 5.
Arrange these fractions in order, starting with the smallest. 4/5, 9/10, 17/20, 21/25, 41/50 Show your working.
Simplify 4c - 3(2c - 5).
f(x) = (2x + 5)/(3x) Find f(-2).
In a group of 35 people, 22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat. By drawing a Venn diagram, or otherwi...
The diagram shows part of a figure that has rotational symmetry of order 4 about the point O. Complete the figure. [Figure with partial shape and p...
p = 8 × 10⁻⁶ q = 2 × 10¹¹ Evaluate the following, giving your answers in standard form.
By writing each number correct to 2 significant figures, estimate the value of 1212.3 / (299.35 × √24.73)
Here are the first five terms of a sequence. 3/4, 7/8, 11/12, 15/16, 19/20
Each interior angle of a regular polygon is 175°. Find the number of sides in the polygon.
The scale diagram shows two islands at A and B. [Figure showing North, A, B]
The diagram shows a triangular prism. The measurements are in centimetres. [Figure showing a triangular prism with dimensions 3, 4, 5, 4, 4]
Each week, Henri records the number of units of gas used in his house and the mean temperature outside. Ten of his results are shown in the table. ...
Find the possible values of x, given that x is an integer and 15 < 2x – 3 < 22 .
Bag A contains 3 black and 2 white beads. Bag B contains 2 black and 4 white beads. A bead is chosen, at random, from Bag A and placed in Bag B. A ...
In the diagram, A, B, C, D and E lie on the circle. AB is parallel to ED. ABE = 62°, CDE = 127° and BEC = 40°. [Figure of cyclic quadrilateral with...
In the diagram, PQ intersects LM at O. [Figure of intersecting lines]
P is the point (–3, 4), Q is the point (5, 1).
Evaluate 9¹ + 9⁰ .
E = { 0, 1, 2, 3, 4, 5, 6 } P = { x : x = 0, 1, 2 } Q = { y : y = 0, 2 }
Express (2, 1) - 3(-1, 2) + 2(-2, 0) as a single vector.
A train travels between two stations, starting and finishing at rest. For this journey it * accelerates uniformly, from rest, for the first 30 seco...
In the diagram, ADB and ACF are straight lines. BC intersects DF at E. AC : CF = 2:1. DB = p, BE = 3q, EC = 2q and AC = 3p + 5q. [Figure of vectors]
(a) The table shows the distances 10 people drive to work and the times they take. Distance (km) 12 32 18 54 26 36 29 15 20 42 Time (minutes) 20 40...
Dina owns a clothes shop.
The diagram shows a triangular field ABC. AB = 95 m, BC = 132m and AC = 174 m. [Figure 3.1]
(a) = {x: x is an integer 1 ≤ x ≤ 10} A = {x : x is a factor of 20} B = {x: x is a multiple of 4}
(a) Complete the table for y = x/5 (6 + 2x - x²). [Table 5.1]
A, B, C and D are points on the circle centre O. TA and TC are tangents to the circle. TDOB is a straight line. ATO = x°. [Figure 6.1]
The position vector, OA, of point A is (-4, 7) and AB = (6, -3).
The diagram shows part of a number grid. [Figure 8.1] A vertical rectangle enclosing three numbers, as shown, can be placed anywhere on the grid. T...
(a) [Volume of a sphere = 4/3 πr³] [Surface area of a sphere = 4πr²] The diagram shows lamp A. It is made in the shape of a cylinder with a hemisph...
The diagram shows a prism with a rectangular base of length 15 cm and width x cm. The cross section of the prism is a right-angled triangle. The he...
Express as a single fraction in its simplest form (4/(2x-3)) - (3/(x-2)).
Kamal earned a total of $32500 in 2017. He paid 9% of this amount into his pension. He paid 22% tax on the remainder of his earnings. Calculate the...
Lim grows tomatoes. The masses, m grams, of 200 of her tomatoes are recorded. The cumulative frequency table shows the results. [Figure 2.1] [Tab...
Express as a single fraction in its simplest form (3 / (y-1)) - (5 / (y+6))
Anna drives 45 km to work each day. One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining ...
[Figure 5.1] AC and BD are diameters of the circle, centre O. AC = 12 cm and ∠AOB = 130°.
Zara fences off a piece of land next to a wall to make a vegetable garden. [Figure 6.1] The garden is a rectangle with the wall as one side of the...
Triangle A is drawn on the grid. [Figure 7.1] (a) Transformation P is represented by the matrix ( -2 0 0 -2 ). P maps triangle A onto triangle B.
The line 2y = x + 4 is drawn on the grid. [Figure 8.1]
[Volume of a pyramid = (1/3) × base area × height] [Figure 9.1] The diagram shows a pyramid with a rectangular, horizontal base. Vertex F of the ...
[Figure 10.1] The diagram shows two circles that touch at C. A, B and C are points on the small circle, centre X. C, D and E are points on the lar...