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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 2012

The diagram shows the fuel gauge in Abid's car. [Figure - image of fuel gauge with arrow at 1/2 mark] The tank contains 50 litres when it is full...

O-LevelMathematicsNumberMay/June 2012

An empty lorry has a mass of 4.3 tonnes, correct to the nearest tenth of a tonne.

O-LevelMathematicsNumberMay/June 2012

Given that π = 3.141592654, find the difference between ²²⁄₇ and π, correct to two significant figures. Show your working.

O-LevelMathematicsNumberMay/June 2012

Jane puts some red balloons and some blue balloons into a bag. The ratio of red balloons to blue balloons is 3: 4. There are 84 balloons in the bag...

O-LevelMathematicsGeometryMay/June 2012

These two triangles are congruent. The lengths are in centimetres. [Figure - two triangles with labelled sides and angles]

O-LevelMathematicsNumberMay/June 2012

Buses following route A leave the bus station every five minutes. Buses following route B leave the bus station every six minutes. Buses following ...

O-LevelMathematicsAlgebra and graphsMay/June 2012

Solve the simultaneous equations. 3x + 5y = 0 2x – 3y = 19

O-LevelMathematicsNumberMay/June 2012

Evaluate ²⁄₅ – ²⁄₇,

O-LevelMathematicsNumberMay/June 2012

From the numbers listed above, write down [Table of numbers: 0.2, 2, √2, 1/3, 0.83, 8, 81]

O-LevelMathematicsNumberMay/June 2012

Gill swims lengths of the swimming pool. The pool is 25 m long and she swims a total of 1.6km.

O-LevelMathematicsProbabilityMay/June 2012

Sachin and Zaheer play a game of tennis and a game of badminton. The results of the games are independent and the games cannot be drawn. The probab...

O-LevelMathematicsNumberMay/June 2012

Write 8³ in the form 2ᵏ.

O-LevelMathematicsNumberMay/June 2012

The profits of a company were $5 million in 2009 and $8 million in 2010. Find the percentage increase in profits from 2009 to 2010.

O-LevelMathematicsNumberMay/June 2012

A swarm of locusts contains 40 billion locusts. A billion is a thousand million.

O-LevelMathematicsAlgebra and graphsMay/June 2012

Solve 5x – 2 = 1,

O-LevelMathematicsAlgebra and graphsMay/June 2012

A sequence of diagrams is made using black and white counters. [Figure - Diagrams 1, 2, 3, 4 with counters] The number of black and white counter...

O-LevelMathematicsCoordinate geometryMay/June 2012

Here are the equations of four straight lines. Line 1: y = 2x + 4 Line 2: y = 2 – x Line 3: y = 2x – 1 Line 4: 2y – 8 = 3x

O-LevelMathematicsStatisticsMay/June 2012

A group of 100 students was asked how many minutes each spent talking on their mobile phone during one day. The histogram summarises this informati...

O-LevelMathematicsAlgebra and graphsMay/June 2012

¹⁄b = ¹⁄c + ¹⁄d Evaluate b when c = 3 and d = 8.

O-LevelMathematicsAlgebra and graphsMay/June 2012

The diagram shows the speed-time graph of a car travelling between two road junctions. [Figure - speed-time graph]

O-LevelMathematicsGeometryMay/June 2012

In the diagram, ABCD is a parallelogram. X is a point on BC. AXY and DCY are straight lines. AB = 8 cm, AX = 7 cm, AD = 9cm and CY = 4 cm. [Figure...

O-LevelMathematicsAlgebra and graphsMay/June 2012

f(x) = 6x² – x + 3 Find f(2),

O-LevelMathematicsMensurationMay/June 2013

In this shape all the lengths are in centimetres. [Diagram showing a composite shape with dimensions 20, 5, 25, 12, 10, 5] Work out

O-LevelMathematicsNumberMay/June 2013

Evaluate 0.3 × 0.2,

O-LevelMathematicsNumberMay/June 2013

A bag containing fruit has mass 3.813 kilograms. When the bag is empty its mass is 257 grams. Find, in kilograms, the mass of the fruit.

O-LevelMathematicsNumberMay/June 2013

Complete the statement in the answer space using one of these symbols. [Diagram showing a box containing the symbols: <=, <, =, >, >=]

O-LevelMathematicsGeometryMay/June 2013

PQ is a chord of the circle, centre O. X is the midpoint of PQ. OX = 6 cm and the radius of the circle is 10 cm. Calculate PQ. [Diagram showing a c...

O-LevelMathematicsNumberMay/June 2013

A bag contains red, yellow and green sweets. 2/5 of the sweets are red and 1/4 of the sweets are yellow. What fraction of the sweets are green?

O-LevelMathematicsNumberMay/June 2013

On a map the length of a lake is 4.5 centimetres. The actual length of the lake is 2.7 kilometres. Write the scale of the map as a ratio in the for...

O-LevelMathematicsTrigonometryMay/June 2013

One approximate solution of the equation sinx° = 0.53 is x = 32. Use this value of x to find the solution of the equation that lies between 90° and...

O-LevelMathematicsNumberMay/June 2013

Ahmed pays a total of $81 for wood, paint and a hammer.

O-LevelMathematicsAlgebra and graphsMay/June 2013

b = m (a−c) Evaluate b when m = 5, a = 8 and c = -3.

O-LevelMathematicsGeometryMay/June 2013

Choose a quadrilateral from the list to complete each statement. [List of quadrilaterals: Kite Parallelogram Rectangle Rhombus Square Trapezium]

O-LevelMathematicsNumberMay/June 2013

The three cards above can be rearranged to make three-digit numbers, for example 916. Arrange the three cards to make [Diagram showing three cards ...

O-LevelMathematicsAlgebra and graphsMay/June 2013

The diagram shows the speed-time graph for 70 seconds of a car's journey. After 20 seconds the car reaches a speed of v m/s. During the 70 seconds ...

O-LevelMathematicsGeometryMay/June 2013

A, B and T are points on a circle, centre O. AOD is a straight line and DT is a tangent to the circle at T. TÂO = 32° [Diagram of a circle with cen...

O-LevelMathematicsGeometryMay/June 2013

Construct the locus of all points, inside the quadrilateral ABCD, which are equidistant from DA and DC,

O-LevelMathematicsMensurationMay/June 2013

Maryam makes two geometrically similar cakes. The heights of the cakes are 6 cm and 9 cm. [Diagram showing two rectangular cakes, one taller than t...

O-LevelMathematicsNumberMay/June 2013

p = 2.4 × 10² q = 6 × 10³ Giving your answers in standard form, find

O-LevelMathematicsStatisticsMay/June 2013

Eighty cyclists were each asked the distance (in kilometres) they cycled last week. The cumulative frequency diagram represents the results. Use th...

O-LevelMathematicsMensurationMay/June 2013

The diagram shows the metal cover for a circular drain. Water drains out through the shaded sections. O is the centre of circles with radii 1 cm, 2...

O-LevelMathematicsNumberMay/June 2013

Evaluate 5⁰ + 5²,

O-LevelMathematicsAlgebra and graphsMay/June 2013

R is directly proportional to the cube of p. When p = 2, R = 24.

O-LevelMathematicsVectors and transformationsMay/June 2013

The diagram shows triangles A and B. [Graph with x and y axes, showing triangles A and B]

O-LevelMathematicsCoordinate geometryMay/June 2013

The diagram shows a triangle RST. [Graph with x and y axes, showing triangle RST]

O-LevelMathematicsAlgebra and graphsMay/June 2013

Given matrices A = ((4, 3), (1, 2)) and B = ((-2, -3), (1, 1)), Find 2A – B.

O-LevelMathematicsAlgebra and graphsMay/June 2013

Factorise fully 10x²y + 15xy².

O-LevelMathematicsNumberMay/June 2014

Evaluate 5 + 1 × 0.3.

O-LevelMathematicsNumberMay/June 2014

Evaluate 18 ÷ 0.2.

O-LevelMathematicsMensurationMay/June 2014

The diagram shows a parallelogram with lengths as marked. All the lengths are in centimetres. Calculate the perimeter of the parallelogram. [Figure 3]

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