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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-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

O-LevelMathematicsAlgebra and graphsMay/June 2018

f(x) = 1/(3x + 2) Find f(-2).

O-LevelMathematicsProbabilityMay/June 2018

A dice is thrown 400 times. The results are shown in the table. Number thrown: 1, 2, 3, 4, 5, 6 Frequency: 65, 80, 70, 75, 50, 60

O-LevelMathematicsStatisticsMay/June 2018

In a school of 270 children, the distance each child can swim was recorded. The distances are summarised in the table. Distance (d metres): 0 < d <...

O-LevelMathematicsGeometryMay/June 2018

An irregular polygon has 22 sides.

O-LevelMathematicsVectors and transformationsMay/June 2018

During two weeks, a shopkeeper records the number of packets of two different types of tea he sells and the profit he makes from them. Week 1 : Typ...

O-LevelMathematicsStatisticsMay/June 2018

The masses of 200 beetles were measured. The results are summarised in the cumulative frequency table and part of the cumulative frequency curve is...

O-LevelMathematicsMensurationMay/June 2018

The diagram shows a pyramid. The square base, ABCD, has an edge of 3 cm. The base is horizontal, and vertex E is vertically above D, where ED = 4 cm.

O-LevelMathematicsAlgebra and graphsMay/June 2018

The region R is defined by the inequalities 2 ≤ x ≤ 8, 5 ≤ y ≤ 10, x + y ≥ 10. On the diagram, shade and label the region R.

O-LevelMathematicsGeometryMay/June 2018

On the diagram, construct the perpendicular bisector of AB.

O-LevelMathematicsNumberMay/June 2018

N = 2 × 10⁸ Giving your answers in standard form, find the value of N × 700,

O-LevelMathematicsAlgebra and graphsMay/June 2018

The first four terms, u₁, u₂, u₃ and u₄, in a sequence of numbers are given below. u₁ = 1 × 3 + 2² = 7 u₂ = 2 × 4 + 3² = 17 u₃ = 3 × 5 + 4² = 31 u₄...

O-LevelMathematicsGeometryMay/June 2018

The diagram shows a circle, centre O, that passes through A, B, C and D. The tangents at A and B meet at T. ATB = 62° and DÂB = 53°.

O-LevelMathematicsVectors and transformationsMay/June 2018

A = (4 -1 / 2 0) B = (6 -3 / 0 -2)

O-LevelMathematicsVectors and transformationsMay/June 2018

Triangle A is mapped onto triangle B by a translation, followed by an enlargement with centre (10, −4). The translation maps triangle A onto triang...

O-LevelMathematicsAlgebra and graphsMay/June 2018

The diagram is the speed-time graph for 60 seconds of a train's journey. At the beginning of this part of the journey the train is travelling at u ...

O-LevelMathematicsNumberMay/June 2018

Use set notation to describe the shaded region in the Venn diagram.

O-LevelMathematicsNumberMay/June 2018

Sami invests $2000 in an account paying compound interest at a rate of 1.8% per year. Calculate the total interest paid to Sami after 3 years.

O-LevelMathematicsAlgebra and graphsMay/June 2018

Solve 4(p − 3) = 2p + 7.

O-LevelMathematicsProbabilityMay/June 2018

Twelve lettered tiles spelling the word TRIGONOMETRY are placed inside a bag. T R I G O N O M E T R Y

O-LevelMathematicsNumberMay/June 2018

1, 7, 13, 19, 25, ...

O-LevelMathematicsGeometryMay/June 2018

ABC is a triangle with AC = 6cm and BC = 9 cm. AB has been drawn below.

O-LevelMathematicsAlgebra and graphsMay/June 2018

The diagram shows the net of an open box of height 3 cm. The area of the base of the box is 15 cm². The length of the rectangular base is x cm. The...

O-LevelMathematicsVectors and transformationsMay/June 2018

The grid shows triangles A and B and rectangle R.

O-LevelMathematicsMensurationMay/June 2018

The diagram shows a sector of a circle of radius 8 cm and angle 70°.

O-LevelMathematicsTrigonometryMay/June 2018

A boat leaves A and travels 12 km to B.

O-LevelMathematicsCoordinate geometryMay/June 2018

The grid shows the line 4y = x + 2. By drawing appropriate lines, indicate the region R defined by all these inequalities. x ≥ 1 x+y≤5 4y ≥ x + 2

O-LevelMathematicsNumberMay/June 2018

Each week Leah works 5 days and is paid a total of $682. Each day she works from 0845 until 1215 and then from 13 15 until 1730.

O-LevelMathematicsStatisticsMay/June 2018

Jenny recorded the time, in minutes, of 40 movies. The table summarises her results. Time (t minutes) | 60<t≤80 | 80<t≤100 | 100<t≤120 | 120<t≤140 ...

O-LevelMathematicsAlgebra and graphsMay/June 2018

Solve 3(x + 10) = 12 - 7x.

O-LevelMathematicsNumberMay/June 2018

& = {x : x is an integer 1 ≤ x ≤ 18}, A = {x : x is a prime number}, B = {1, 2, 3, 4, 6, 9, 12, 18}.

O-LevelMathematicsMensurationMay/June 2018

OAB is a sector of a circle, centre O, radius 11 cm. AOB = 134°. [Figure: sector OAB with radius 11cm and angle 134 degrees] A cone has height 9.5...

O-LevelMathematicsAlgebra and graphsMay/June 2018

Complete the table for y = x²/2 - 3x + 2. x | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 y | 2 | | -0.5 | -2 | -2.5 | -2 | -0.5 | | 2

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