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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.

O-LevelMathematicsAlgebra and graphsMay/June 2017

[Figure: Pattern 1, Pattern 2, Pattern 3, Pattern 4 (partially complete)]

O-LevelMathematicsTrigonometryMay/June 2017

(b) [Figure: Pentagon ABCDE with angles and lengths] ABCDE is a pentagon. AB = 18 cm, BC = 16 cm, CD = 11 cm and EA = 7 cm. EAB = 115° and BDC = 28°.

O-LevelMathematicsGeometryMay/June 2017

(a) [Figure: Circle with points A, B, C, D on circumference, O at centre, angles 2y°, 120°, x°, y° shown] A, B, C and D lie on the circumference of...

O-LevelMathematicsStatisticsMay/June 2017

80 people were each asked how much they spent on clothes last month. The results are summarised in the table below. Amount spent ($ c) Frequency 0 ...

O-LevelMathematicsGeometryMay/June 2017

(a) [Figure: Triangle ABC] ABC is a triangle. B and D are points on opposite sides of the line AC. DA = 9 cm and CD = 7 cm. (b) [Figure: Quadrilate...

O-LevelMathematicsNumberMay/June 2017

FLIGHTS TO SYDNEY Cost per person: $1199 ACCOMMODATION Cost per adult per night: $55 Cost per child per night: $40 INSURANCE COVER FOR UP TO 20 D...

O-LevelMathematicsNumberMay/June 2017

The table below shows the population, given to the nearest thousand, of some countries. Country | Population in 2014 | Population in 2015 Pakistan ...

O-LevelMathematicsProbabilityMay/June 2017

Rowena spins two fair spinners, each numbered 1 to 4. Her score is the value when the numbers on the two spinners are multiplied together. The tabl...

O-LevelMathematicsVectors and transformationsMay/June 2017

A = ( (3 -2) (-4 2) ) B = ( (5 3) (-2 1) ) C = ( (-2) (1) )

O-LevelMathematicsAlgebra and graphsMay/June 2017

Express as a single fraction, as simply as possible, 1/(2x) + 2/(5x) .

O-LevelMathematicsTrigonometryMay/June 2017

Triangle PQR has a right angle at P, angle PRQ = 38° and RQ = 12cm. [Figure of triangle PQR]

O-LevelMathematicsAlgebra and graphsMay/June 2017

The diagrams show patterns made from crosses (X) and circles (O). [Figure of Patterns 1-4]

O-LevelMathematicsMensurationMay/June 2017

ABCDE is the cross-section of a building. All the lengths are given in metres. [Figure of building cross-section]

O-LevelMathematicsAlgebra and graphsMay/June 2017

A random number, x, is generated, where x is any real number.

O-LevelMathematicsGeometryMay/June 2017

The diagram shows the position of point A. Point B is 8 cm from A on a bearing of 062°. Point C is 6.5 cm from A on a bearing of 194°. [Figure of N...

O-LevelMathematicsStatisticsMay/June 2017

The table below summarises the times taken by 50 athletes to run 400 m. Time (t seconds) | 50 ≤ t < 55 | 55 ≤ t < 60 | 60 ≤ t < 65 | 65 < t < 70 | ...

O-LevelMathematicsMensurationMay/June 2017

OAB is a sector of a circle, centre O, and radius 10 cm. AÔB = 72° and C is the point on the arc AB such that OC bisects AÓB. [Figure of sector OAB]

O-LevelMathematicsNumberMay/June 2018

Evaluate (3.5 - 1.9) / 0.8

O-LevelMathematicsNumberMay/June 2018

Work out 15% of 80.

O-LevelMathematicsNumberMay/June 2018

Write these numbers in order of size, starting with the smallest. 1/3, 0.32, 15/40, 0.3, 9/31

O-LevelMathematicsGeometryMay/June 2018

The diagram shows part of a shape which is symmetrical about the line L. Complete the shape. [Figure 4.1]

O-LevelMathematicsNumberMay/June 2018

A plane leaves London on a flight to Dubai.

O-LevelMathematicsNumberMay/June 2018

What fraction of this 4 × 4 square is shaded? [Figure 6.1]

O-LevelMathematicsStatisticsMay/June 2018

Usama recorded the number of items bought by each of 20 customers at a shop. The results are shown in the table. | Number of items bought | 1 | 2 |...

O-LevelMathematicsGeometryMay/June 2018

A, B and C are points on the circumference of a circle centre O. O is the midpoint of BC and ABC = 38°. Tangents are drawn from T to touch the circ...

O-LevelMathematicsAlgebra and graphsMay/June 2018

Find the integers that satisfy 1 < 3x + 5 < 11.

O-LevelMathematicsGeometryMay/June 2018

The scale diagram below shows a barn ABCD. AB = 7 m and BC = 4 m. On the diagram 1 cm represents 1 m. A horizontal rail is attached to the outside ...

O-LevelMathematicsVectors and transformationsMay/June 2018

Find a and b. The matrix equation is: [[2a-4, b], [-1, 3]] = [[7, 10], [15, 2]]

O-LevelMathematicsProbabilityMay/June 2018

Basia records the colour of 100 cars passing the school gate. Her results are recorded in the table. | Colour of car | Black | Grey | Red | Blue | ...

O-LevelMathematicsStatisticsMay/June 2018

The table below shows the masses of 10 mothers and their babies at birth. | Mass of mother (kg) | 64 | 90 | 54 | 102 | 57 | 105 | 70 | 89 | 57 | 75...

O-LevelMathematicsAlgebra and graphsMay/June 2018

f(x) = 3 - 2x g(x) = 4x³ - 1

O-LevelMathematicsAlgebra and graphsMay/June 2018

Evaluate 3³ - 3⁰.

O-LevelMathematicsMensurationMay/June 2018

The diagram shows a square ABCD joined to a right-angled triangle BEC. BE = 6 cm and EC = 7 cm. Calculate the area of the pentagon, ABECD. [Figure ...

O-LevelMathematicsAlgebra and graphsMay/June 2018

The speed-time graph shows the motion of a car. [Figure 18.1]

O-LevelMathematicsNumberMay/June 2018

One day in 2016 the population of Nepal was 28795701. Write this number correct to three significant figures.

O-LevelMathematicsMensurationMay/June 2018

A paving slab is a cuboid with length 40cm, width 20cm and depth hcm. Its volume is 2400 cm³. [Figure 20.1]

O-LevelMathematicsVectors and transformationsMay/June 2018

p = [[3], [4]] q = [[-4], [3]]

O-LevelMathematicsAlgebra and graphsMay/June 2018

s = ³√(t+4) Find s when t = 121.

O-LevelMathematicsAlgebra and graphsMay/June 2018

State which of the figures above could be the graph of [Figure 23.1]

O-LevelMathematicsAlgebra and graphsMay/June 2018

Show that (12/(x+2)) + (10/(x-1)) = 7/2 can be simplified to give the equation 7x² - 37x - 30 = 0.

O-LevelMathematicsNumberMay/June 2018

Evaluate 4/11 - 2/7.

O-LevelMathematicsNumberMay/June 2018

Cecil bought a camera for $120. After two years he sold for $90. Calculate the percentage loss.

O-LevelMathematicsStatisticsMay/June 2018

0.05 -0.3 1.3 -1.2 0.2 Arrange the five numbers in order, starting with the smallest.

O-LevelMathematicsAlgebra and graphsMay/June 2018

y is inversely proportional to the square of x. Given that y = 10 when x = 3, find y when x = 1/2.

O-LevelMathematicsAlgebra and graphsMay/June 2018

Factorise 25t² – 4.

O-LevelMathematicsNumberMay/June 2018

A rectangle has length 64 mm and width 37 mm each correct to the nearest millimetre.

O-LevelMathematicsGeometryMay/June 2018

Triangle OPQ is part of a figure that has rotational symmetry of order 2 about the point O. Complete the figure.

O-LevelMathematicsAlgebra and graphsMay/June 2018

Solve 4/(x-11) = 1/(3x).

O-LevelMathematicsAlgebra and graphsMay/June 2018

Express each of the following as a single fraction in its simplest form.

O-LevelMathematicsNumberMay/June 2018

By writing each number correct to 2 significant figures, calculate an estimate of 596 × √16.12 / 0.2984

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