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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-LevelMathematicsGeometryMay/June 2014

In the triangle PQR, PQ = 5 cm, QR = 7 cm and PR = 9 cm. Decide whether the triangle is acute angled or obtuse angled. Show calculations to support...

O-LevelMathematicsAlgebra and graphsMay/June 2014

Solve 4 < 3y - 11.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Write down all the integers that satisfy the inequality -4 ≤ 2x < 4.

O-LevelMathematicsNumberMay/June 2014

The angles of a triangle are in the ratio 3 : 4 : 5. Calculate the smallest angle in the triangle.

O-LevelMathematicsNumberMay/June 2014

The ratio of boys to girls in a class is 4 : 5. There are 3 more girls than boys. Calculate the total number of students in the class.

O-LevelMathematicsMensurationMay/June 2014

A thin piece of wire is shaped into a figure five as shown. The shape has two straight sections of length 5.25 cm and 4.8 cm. The curved part is th...

O-LevelMathematicsNumberMay/June 2014

By writing each number correct to one significant figure, estimate the value of (28.6 + 47.7) / (0.47 x 21.4).

O-LevelMathematicsNumberMay/June 2014

Write 8/25 as a decimal.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Make a the subject of the formula y = (a-4)/(3-a).

O-LevelMathematicsNumberMay/June 2014

One morning the temperature was 5°C. By the evening the temperature had dropped 9°C. Write down the temperature in the evening.

O-LevelMathematicsNumberMay/June 2014

Maryam lives in Ceetown and has to be in Deetown by 09 30. What time is the latest bus from Ceetown that she can catch? [Table for bus times in Q10...

O-LevelMathematicsNumberMay/June 2014

Aadil catches the 0932 from Aytown to Deetown. How long does his journey take? [Table for bus times in Q10(b)]

O-LevelMathematicsGeometryMay/June 2014

The diagram shows a map of a lake. Three points A, B and C are on the edge of the lake. A ship sails due south from A to B. Write down the bearing ...

O-LevelMathematicsGeometryMay/June 2014

A cruiser sails from C to D on a bearing of 105°. Work out the bearing of C from D. [Figure 11]

O-LevelMathematicsAlgebra and graphsMay/June 2014

Here are the first four terms of a sequence: 7, 11, 15, 19. Write down an expression, in terms of n, for the nth term of this sequence.

O-LevelMathematicsAlgebra and graphsMay/June 2014

u_n is the nth term of another sequence. Here is the formula connecting the nth and (n + 1)th terms of this sequence: 3u_n - 4 = u_{n+1}. The value...

O-LevelMathematicsAlgebra and graphsMay/June 2014

Solve 2(5ᴾ) = 250.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Simplify 1 ÷ x⁻⁵.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Simplify (3a/4) ÷ (9a²/8).

O-LevelMathematicsStatisticsMay/June 2014

The table shows the ages of guests at a party. The histogram represents some of this information. Use the histogram to find the value of p. [Figure...

O-LevelMathematicsNumberMay/June 2014

Find an integer r such that r > 5 and 5r – 1 is a square number.

O-LevelMathematicsNumberMay/June 2014

Find the value of s which makes 8s + 2 a prime number.

O-LevelMathematicsNumberMay/June 2014

Write down an irrational number between 7 and 8.

O-LevelMathematicsGeometryMay/June 2014

In the diagram AB = AC and AD is parallel to BC. A line from D intersects AC at E and BC at F. ADE = 38° and BẬC = 66°. Find DFC. [Figure 16]

O-LevelMathematicsAlgebra and graphsMay/June 2014

Expand and simplify 4(2t + 3) + 5.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Expand and simplify 6p + 3q - 2(2p – 5q).

O-LevelMathematicsAlgebra and graphsMay/June 2014

Factorise completely 25x³y² - 15x²y.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Two boats, one red and one blue, leave a harbour at the same time. They travel in the same direction. The speed-time graphs for the boats are shown...

O-LevelMathematicsNumberMay/June 2014

Light travels at a speed of 3 × 10⁸ m/s. Calculate the time it takes for light to travel 6km. Give your answer in standard form.

O-LevelMathematicsNumberMay/June 2014

One molecule of water is made up of two atoms of hydrogen and one atom of oxygen. The mass of one atom of hydrogen is 1.67 × 10⁻²⁴ g. The mass of o...

O-LevelMathematicsAlgebra and graphsMay/June 2014

Given that x² - 14x + 40 = (x − a)² + b, find the values of a and b.

O-LevelMathematicsAlgebra and graphsMay/June 2014

Solve the equation 3x² + 7x - 6 = 0 by factorisation.

O-LevelMathematicsNumberMay/June 2014

Evaluate 12+8÷(9-5).

O-LevelMathematicsStatisticsMay/June 2014

Tasnim records the temperature, in °C, at 6 a.m. every day for 10 days. -6 -3 0 -2 1 -7 -5 2 -1 -3

O-LevelMathematicsNumberMay/June 2014

It is given that 3⁄4 < n < 7⁄8.

O-LevelMathematicsNumberMay/June 2014

Here is part of a bus timetable. Bus station 0956 1026 1056 1126 1156 City Hall 1003 1033 1103 1133 1203 Railway st...

O-LevelMathematicsNumberMay/June 2014

Express 0.0000852 in standard form.

O-LevelMathematicsGeometryMay/June 2014

Complete the description of the pattern below. [Figure 6.1] The pattern has rotational symmetry of order __________ and __________ lines of symmetry.

O-LevelMathematicsAlgebra and graphsMay/June 2014

The cost of a mirror is directly proportional to the square of its width. A mirror of width 40 cm costs $24. Work out the cost of a mirror of width...

O-LevelMathematicsGeometryMay/June 2014

A and B are points on the circle, centre O. TA and TB are tangents to the circle. BÂT = 64°. [Figure 8.1]

O-LevelMathematicsNumberMay/June 2014

Evaluate 1⁄7 + 3⁄4 .

O-LevelMathematicsNumberMay/June 2014

Write 405917628 correct to three significant figures.

O-LevelMathematicsNumberMay/June 2014

On the Venn diagram, shade the set P'∩(QUR). [Figure 11.1]

O-LevelMathematicsAlgebra and graphsMay/June 2014

A café sells hot drinks. On Monday it sells 80 teas, 60 coffees and 40 hot chocolates. On Tuesday it sells 70 teas, 90 coffees and 50 hot chocolate...

O-LevelMathematicsAlgebra and graphsMay/June 2014

f(x) = 2 - 3x Find f(-5),

O-LevelMathematicsNumberMay/June 2014

A rectangular garden has length 35 metres and width 25 metres. These distances are measured correct to the nearest metre.

O-LevelMathematicsCoordinate geometryMay/June 2014

[Figure 15.1] Find the gradient of the line L.

O-LevelMathematicsNumberMay/June 2014

Dwayne buys a camera for $90. He sells the camera for $126. Calculate his percentage profit.

O-LevelMathematicsVectors and transformationsMay/June 2014

The diagram shows triangles A, B and C. [Figure 17.1]

O-LevelMathematicsGeometryMay/June 2014

Find the size of the interior angle of a regular octagon.

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