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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 2016

On the map, a town covers an area of 4cm². Calculate its actual area.

O-LevelMathematicsNumberMay/June 2016

Express the scale of the map in the form 1: n.

O-LevelMathematicsAlgebra and graphsMay/June 2016

Solve the simultaneous equations. 3x = 4y. 1 + 5x = 6y.

O-LevelMathematicsMensurationMay/June 2016

[The volume of a sphere is 4/3 πr³] [The volume of a cone is 1/3 πr²h]. A cone is removed from a solid wooden hemisphere of radius 3 cm. The cone h...

O-LevelMathematicsAlgebra and graphsMay/June 2016

y is directly proportional to the square of x. Given that y = 8 when x = 4, find y when x = 3.

O-LevelMathematicsAlgebra and graphsMay/June 2016

p is inversely proportional to q. It is known that p = 15 for a particular value of q. Write down the value of p when this value of q is doubled.

O-LevelMathematicsGeometryMay/June 2016

In the diagram, AB, BC, CD and DE are four sides of a regular polygon. Each interior angle of the polygon is 160°. ABPQR, DCP and EDQ are straight ...

O-LevelMathematicsAlgebra and graphsMay/June 2016

A sequence of diagrams is made using counters. Complete the table. [Figure 17.1]

O-LevelMathematicsAlgebra and graphsMay/June 2016

Find an expression, in terms of n, for the number of counters in Diagram n. [Figure 17.1]

O-LevelMathematicsAlgebra and graphsMay/June 2016

In this sequence, Diagram p has 200 counters. Find the value of p. [Figure 17.1]

O-LevelMathematicsStatisticsMay/June 2016

Henri did a survey of the lengths of the leaves on a plant. The results are summarised in the table. When asked to draw a histogram to illustrate t...

O-LevelMathematicsStatisticsMay/June 2016

On the grid below, draw a correct histogram for Henri's results. [Figure 18.2]

O-LevelMathematicsGeometryMay/June 2016

In the diagram, the two circles intersect at P and Q. The line AB is a tangent to the circles at A and B. AD and BC are diameters. BD intersects th...

O-LevelMathematicsStatisticsMay/June 2016

The number of goals scored in each of 50 football matches was recorded. The results are given in the table. For these results, find the mode. [Figu...

O-LevelMathematicsNumberMay/June 2016

Express 500 as the product of its prime factors.

O-LevelMathematicsNumberMay/June 2016

Evaluate (2.05 + 1.4) × 0.2 .

O-LevelMathematicsGeometryMay/June 2016

Complete this description. A rectangle has rotational symmetry of order ______ and ______ lines of symmetry.

O-LevelMathematicsAlgebra and graphsMay/June 2016

It is given that 100 dollars ($) is equivalent to 56 pounds (£).

O-LevelMathematicsNumberMay/June 2016

Complete the table. Fraction | Decimal | Percentage ------- | -------- | ---------- 1/2 | 0.5 | 50% 3/20 | ... | ... ... | ......

O-LevelMathematicsNumberMay/June 2016

The table shows some information about the temperatures in a city. Date | Maximum temperature | Minimum temperature ----------- | ----------...

O-LevelMathematicsNumberMay/June 2016

Express 96 as a product of its prime factors.

O-LevelMathematicsNumberMay/June 2016

The table shows information about some flights from Dubai to Mumbai. Departs Dubai (local time) | Arrives Mumbai (local time) | Flight duration ---...

O-LevelMathematicsAlgebra and graphsMay/June 2016

y is directly proportional to the square of x. When x = 10, y = 20. Find the value of y when x = 6.

O-LevelMathematicsProbabilityMay/June 2016

50 students are asked what type of movie they like to watch. Of these students, • 26 like comedy, • 15 like both action and comedy and • 8 like nei...

O-LevelMathematicsAlgebra and graphsMay/June 2016

Solve the simultaneous equations. 6x + y = 1 4x - y = 4

O-LevelMathematicsAlgebra and graphsMay/June 2016

Simplify 5x^7y / 15x^3y^4

O-LevelMathematicsGeometryMay/June 2016

The diagram below shows triangle ABC. [Figure 12.1]

O-LevelMathematicsNumberMay/June 2016

Write these values in order of size, starting with the smallest. 2^5 5^2 ^3√1000 27^0

O-LevelMathematicsCoordinate geometryMay/June 2016

The coordinates of the midpoint of the line AB are (1, 2). The length of the line AB is 10 units.

O-LevelMathematicsAlgebra and graphsMay/June 2016

The diagram shows the lines x + y = 8 and 2y = x + 4. [Figure 15.1]

O-LevelMathematicsNumberMay/June 2016

Anil has some sweets with a mass of 600 g, correct to the nearest 10 grams.

O-LevelMathematicsGeometryMay/June 2016

In the diagram, the bearing of B from A is 170°. The bearing of A from C is 060°. The bearing of C from B is x°. [Figure 17.1] Given that triangle ...

O-LevelMathematicsAlgebra and graphsMay/June 2016

The diagram is the speed-time graph for part of a car's journey. [Figure 18.1] The retardation of the car between t = 8 and t = 12 is 4 m/s².

O-LevelMathematicsGeometryMay/June 2016

AB is a diameter of the circle, centre O. PA and QB are tangents to the circle at A and B respectively. Prove that triangle PAO is congruent to tri...

O-LevelMathematicsProbabilityMay/June 2016

A bag contains 10 counters of which 8 are blue and 2 are white. Two counters are taken from the bag at random without replacement.

O-LevelMathematicsAlgebra and graphsMay/June 2016

The table shows the values of the function f(x) for some values of x. x | 1 | 2 | 3 | 4 | 5 ----|---|---|---|----|---- f(x)| 5 | 7 | 9 | 11 | 13...

O-LevelMathematicsNumberMay/June 2016

The table shows the populations, correct to 2 significant figures, of some African countries in 2014. Country | Population --------|----------- Nig...

O-LevelMathematicsStatisticsMay/June 2016

The table and histogram show some information about the times taken by a group of students to travel to school one day. Time (t minutes) | 0 < t ≤ ...

O-LevelMathematicsMensurationMay/June 2016

The diagram shows a sector of a circle with radius 3r cm and angle a° and a circle with radius r cm. [Figure 24.1] The ratio of the area of the sec...

O-LevelMathematicsAlgebra and graphsMay/June 2016

The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.

O-LevelMathematicsAlgebra and graphsMay/June 2016

Make p the subject of the formula t = (p + 3) / (p - 4)

O-LevelMathematicsNumberMay/June 2016

A shopkeeper buys some plates from a manufacturer for $12 each.

O-LevelMathematicsAlgebra and graphsMay/June 2016

Solve the equation (p-1)/(7-p) = 5.

O-LevelMathematicsAlgebra and graphsMay/June 2016

The table below is for y = x²+x-3. x | -3 | -2 | -1 | 0 | 1 | 2 y | 3 | -1 | -3 | -3 | -1 | 3 [Figure 3.1]

O-LevelMathematicsGeometryMay/June 2016

[Figure 4.1] ANB, BLC and CMA are straight lines. NM is parallel to BC and LN is parallel to CA.

O-LevelMathematicsTrigonometryMay/June 2016

(a) [Figure 5.1] AB is vertical and CB is horizontal. AB = 31 m and CB = 115 m. Calculate the angle of depression of C from A. (b) [Figure 5.2] J a...

O-LevelMathematicsVectors and transformationsMay/June 2016

A = ((4 -1), (1 3)) B = ((2 0), (7 -5))

O-LevelMathematicsMensurationMay/June 2016

(a) [Figure 7.1] AC is a diameter of the circle, centre O, radius 5 cm. ACB = 64°. Calculate the length of the minor arc BC. (b) [Figure 7.2] A bak...

O-LevelMathematicsAlgebra and graphsMay/June 2016

(a) p = (8-5q)/q (b) [Figure 8.1] The lengths of the parallel sides of trapezium A are x cm and (x – 2) cm. The lengths of the parallel sides of tr...

O-LevelMathematicsTrigonometryMay/June 2016

(a) [Figure 9.1] ABCD represents the rectangular sloping surface of a triangular prism. ABEF is a horizontal rectangle. CE and DF are vertical. CBE...

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