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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-LevelMathematicsNumberMay/June 2021

Write 0.45 as a fraction in its lowest terms.

O-LevelMathematicsGeometryMay/June 2021

Complete the description of the symmetry for each shape. [Figure 2.1] lines of symmetry Rotational symmetry of order [Figure 2.2] lines of symmetry...

O-LevelMathematicsStatisticsMay/June 2021

A group of 60 students were each asked their favourite fruit. The results are shown in the table. Fruit | Frequency ---|--- Apple | 20 Banana | 25 ...

O-LevelMathematicsNumberMay/June 2021

Write 64785491 correct to the nearest million.

O-LevelMathematicsNumberMay/June 2021

Omar and Jamil share $540 in the ratio 7 : 2. Work out Omar's share.

O-LevelMathematicsMensurationMay/June 2021

The base of a cuboid is a square with side length 4 cm. The volume of the cuboid is 48 cm³. On the grid, complete the accurate drawing of the net o...

O-LevelMathematicsProbabilityMay/June 2021

A bag contains coloured counters. A counter is taken from the bag at random. The table shows the probabilities of taking a counter of each colour. ...

O-LevelMathematicsNumberMay/June 2021

Work out 3 2/5 - 1 3/4. Give your answer as a fraction.

O-LevelMathematicsGeometryMay/June 2021

The sketch shows the positions of three villages, A, B and C. A is due east of B. [Figure 9.1]

O-LevelMathematicsNumberMay/June 2021

Write 270 as the product of its prime factors.

O-LevelMathematicsAlgebra and graphsMay/June 2021

Solve the simultaneous equations. Show your working. 5x+2y = 7 2x-3y = 18

O-LevelMathematicsAlgebra and graphsMay/June 2021

Lara goes for a cycle ride. The distance-time graph shows her journey. [Figure 12.1] Calculate Lara's average speed, in kilometres per hour, for th...

O-LevelMathematicsNumberMay/June 2021

Write 0.000053 in standard form.

O-LevelMathematicsNumberMay/June 2021

The length of a path is measured as 62 m, correct to the nearest metre. Write down the upper bound for the length of the path.

O-LevelMathematicsGeometryMay/June 2021

Use a ruler and compasses only in this question. [Figure 15.1]

O-LevelMathematicsAlgebra and graphsMay/June 2021

(yᵏ)⁻² = y⁵ Find the value of k.

O-LevelMathematicsNumberMay/June 2021

In a sale, the price of a coat is reduced by 25%. The sale price is $120. Calculate the price of the coat before the sale.

O-LevelMathematicsAlgebra and graphsMay/June 2021

y is inversely proportional to the cube of x. When x = 1/2, y = 24.

O-LevelMathematicsVectors and transformationsMay/June 2021

On Monday, 40 adults and 20 children visit a museum. On Tuesday, 30 adults and 35 children visit the museum. The cost of an adult ticket is $2.50 a...

O-LevelMathematicsAlgebra and graphsMay/June 2021

Here are the first four terms of a sequence. 12/16 17/25 22/36 27/49 Find an expression for the nth term of the sequence.

O-LevelMathematicsAlgebra and graphsMay/June 2021

Write x² + 10x + 6 in the form (x+a)² + b.

O-LevelMathematicsAlgebra and graphsMay/June 2021

Express as a single fraction in its simplest form. 3/(x-7) + 2/(x+5)

O-LevelMathematicsVectors and transformationsMay/June 2021

Triangle A and triangle B are drawn on the grid. [Figure 23.1]

O-LevelMathematicsStatisticsMay/June 2021

A group of office workers are each asked to record the distance, d kilometres, they travel to work. The results for some of their journeys are show...

O-LevelMathematicsAlgebra and graphsMay/June 2021

The algebraic fraction (2x² - 5x + a) / (x² - 16) can be simplified to give (2x + b) / (x + 4). Find the value of a and the value of b.

O-LevelMathematicsNumberMay/June 2021

In 2019 Nicole's annual income was $22000.

O-LevelMathematicsStatisticsMay/June 2021

A survey recorded the number of people living in each of 50 houses. The bar chart shows the results. [Figure 2.1]

O-LevelMathematicsAlgebra and graphsMay/June 2021

p = (3q+5)/r² Calculate p when q = 15 and r=-4.

O-LevelMathematicsGeometryMay/June 2021

The diagram shows a sketch of quadrilateral ABCD. [Figure 4.1] Construct an accurate drawing of ABCD. AC has been drawn for you.

O-LevelMathematicsNumberMay/June 2021

Shade the subset A'∩B∩C. [Figure 5.1]

O-LevelMathematicsAlgebra and graphsMay/June 2021

f(x) = 2x+3 g(x) = (12-3x)/5

O-LevelMathematicsAlgebra and graphsMay/June 2021

y = 2x+1 y = 2x-1 y=-2x+1 y=-2x-1 The diagrams below show sketches of two of these lines. Write the correct equation below each diagram. [Figure 7.1]

O-LevelMathematicsGeometryMay/June 2021

P, Q and R are points on the circumference of a circle, centre O. Angle POQ = 8x°, angle RPO = x° and angle OQR = 24°. Calculate angle PQO. [Figure...

O-LevelMathematicsStatisticsMay/June 2021

The cumulative frequency diagram shows the marks obtained by 80 students in a Maths test. [Figure 9.1] Use the diagram to find an estimate of the m...

O-LevelMathematicsVectors and transformationsMay/June 2021

AB = (-3, 5) Calculate |AB|.

O-LevelMathematicsNumberMay/June 2021

The price of an electric drill is $78. In a sale, the price is reduced by 15%. Calculate the sale price.

O-LevelMathematicsStatisticsMay/June 2021

The table shows the midday temperature and the number of cups of hot chocolate Natcha sells on each of ten days. Midday temperature (°C) 18 9 4 28 ...

O-LevelMathematicsAlgebra and graphsMay/June 2021

Simplify 4a-b+6b-7a.

O-LevelMathematicsStatisticsMay/June 2021

100 adults in a town were surveyed about the number of emails they each received one day. The table shows the results. Number of emails 1 2 3 4 5 6...

O-LevelMathematicsNumberMay/June 2021

Use set notation to describe the subset shaded in the Venn diagram. [Figure 5.A]

O-LevelMathematicsCoordinate geometryMay/June 2021

PQR is an isosceles triangle with PR = QR. P is the point (1, 5) and Q is the point (5, 1). Angle PRQ is not a right angle. Find the coordinates fo...

O-LevelMathematicsTrigonometryMay/June 2021

A rectangular field measures 30m by 45 m. Calculate the perimeter.

O-LevelMathematicsAlgebra and graphsMay/June 2021

f(x) = 3x-5 g(x) = (4x +4)/3

O-LevelMathematicsMensurationMay/June 2021

[Volume of a cone = 1/3 πr²h] [Curved surface area of a cone = πrl] A cone has radius 6 cm and slant height l cm. The total surface area of the con...

O-LevelMathematicsGeometryMay/June 2021

A, B and C are points on the circumference of a circle, centre O. OBD is a straight line and angle ABD = 130°. Find angle ACB, giving a reason for ...

O-LevelMathematicsProbabilityMay/June 2021

A bag contains 12 balls. There are x black balls in the bag and the other balls are white. Two balls are taken at random from the bag without repla...

O-LevelMathematicsVectors and transformationsMay/June 2021

A is the point (2, 3) and B is the point (3, -5). Find AB.

O-LevelMathematicsNumberMay/June 2022

Work out. 2/3 + 1/6

O-LevelMathematicsStatisticsMay/June 2022

Asha asks a group of students about their favourite fruit. The table and pictogram show some of the results. Fruit Apple Banana Orange Melon Freque...

O-LevelMathematicsCoordinate geometryMay/June 2022

[Figure with a coordinate grid, line L, points A(1, 2) and B(3, 1)] A and B are vertices of a quadrilateral. Line L is the line of symmetry of the ...

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