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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-LevelMathematicsNumberOct/Nov 2018

During one year, the mass of a child increased from 25 kg to 30 kg. Calculate the percentage increase in the mass.

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

Factorise completely 15a + 3ab.

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

f(x) = 3 / (x + 4) Find f(-6).

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

The value of each term of a sequence is 4 more than the value of the term before it. The third term is 17 and the fourth term is 21.

O-LevelMathematicsNumberOct/Nov 2018

Write down an irrational number which has a value between 4 and 5.

O-LevelMathematicsGeometryOct/Nov 2018

In the diagram, AFGB, BGDC and FEDG are parallelograms. EF and BA produced meet at H. BGF = 130° and DGF = 120°. [Figure 9.1]

O-LevelMathematicsGeometryOct/Nov 2018

The diagram shows a closed box. The box is a cuboid. The measurements are in centimetres. [Figure 10.1]

O-LevelMathematicsNumberOct/Nov 2018

N = 4 × 10⁵ Giving your answers in standard form, find

O-LevelMathematicsNumberOct/Nov 2018

By writing each number correct to 1 significant figure, calculate an estimate for the value of 614.2 × 0.0304 / 19.88

O-LevelMathematicsStatisticsOct/Nov 2018

The lengths of the times of telephone calls made by Ellie during one week are summarised in the table. Time (t minutes) | 0 < t ≤ 10 | 10 < t ≤ 20 ...

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

Evaluate (1/3)⁻².

O-LevelMathematicsProbabilityOct/Nov 2018

A five-sided spinner is numbered 1, 2, 3, 4 and 5. Ashraf spun the spinner 200 times. The results are shown in the table. Number spinner lands on |...

O-LevelMathematicsGeometryOct/Nov 2018

A boat travels from P to Q. At Q, it turns through 90° and travels to R as shown in the diagram. It then returns from R to Q, and then to P, follow...

O-LevelMathematicsNumberOct/Nov 2018

120 = 2³ × 3 × 5 Express 1200 as the product of its prime factors.

O-LevelMathematicsGeometryOct/Nov 2018

Four interior angles of a hexagon are 100°, 110°, 120° and 140°. The remaining two interior angles are equal to each other. Calculate the size of o...

O-LevelMathematicsGeometryOct/Nov 2018

[Figure 19.1] Measure angle ABC.

O-LevelMathematicsVectors and transformationsOct/Nov 2018

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

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

In the diagram, the equation of the line • through B and C is 6x + 7y = 42 • through A and B is y = x/5 [Figure 21.1]

O-LevelMathematicsVectors and transformationsOct/Nov 2018

The diagram shows triangles A and B. [Figure 22.1]

O-LevelMathematicsVectors and transformationsOct/Nov 2018

In the diagram, ABCD is a parallelogram. X is the point on BC such that BX : XC = 3 : 1. AB = 6p and AD = 8q. [Figure 23.1]

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

The diagram is the speed-time graph of part of a train's journey. [Figure 24.1] The train slows down uniformly from a speed of 44 m/s to a speed of...

O-LevelMathematicsGeometryOct/Nov 2018

In the triangle ABC, P and Q are points on AB and AC such that PQ is parallel to BC. AP = 3 cm, PB = 5 cm and BC = 12 cm. [Figure 25.1]

O-LevelMathematicsNumberOct/Nov 2018

Evaluate 1/8 + 2/5 .

O-LevelMathematicsNumberOct/Nov 2018

200 grams of a spice cost 85 cents. Find the cost, in dollars, of 1 kilogram of this spice.

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

y is inversely proportional to x. Given that y = 30 when x = 1/3, find y when x = 5.

O-LevelMathematicsNumberOct/Nov 2018

Arrange these fractions in order, starting with the smallest. 4/5, 9/10, 17/20, 21/25, 41/50 Show your working.

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

Simplify 4c - 3(2c - 5).

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

f(x) = (2x + 5)/(3x) Find f(-2).

O-LevelMathematicsStatisticsOct/Nov 2018

In a group of 35 people, 22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat. By drawing a Venn diagram, or otherwi...

O-LevelMathematicsGeometryOct/Nov 2018

The diagram shows part of a figure that has rotational symmetry of order 4 about the point O. Complete the figure. [Figure with partial shape and p...

O-LevelMathematicsNumberOct/Nov 2018

p = 8 × 10⁻⁶ q = 2 × 10¹¹ Evaluate the following, giving your answers in standard form.

O-LevelMathematicsNumberOct/Nov 2018

By writing each number correct to 2 significant figures, estimate the value of 1212.3 / (299.35 × √24.73)

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

Here are the first five terms of a sequence. 3/4, 7/8, 11/12, 15/16, 19/20

O-LevelMathematicsGeometryOct/Nov 2018

Each interior angle of a regular polygon is 175°. Find the number of sides in the polygon.

O-LevelMathematicsGeometryOct/Nov 2018

The scale diagram shows two islands at A and B. [Figure showing North, A, B]

O-LevelMathematicsMensurationOct/Nov 2018

The diagram shows a triangular prism. The measurements are in centimetres. [Figure showing a triangular prism with dimensions 3, 4, 5, 4, 4]

O-LevelMathematicsStatisticsOct/Nov 2018

Each week, Henri records the number of units of gas used in his house and the mean temperature outside. Ten of his results are shown in the table. ...

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

Find the possible values of x, given that x is an integer and 15 < 2x – 3 < 22 .

O-LevelMathematicsProbabilityOct/Nov 2018

Bag A contains 3 black and 2 white beads. Bag B contains 2 black and 4 white beads. A bead is chosen, at random, from Bag A and placed in Bag B. A ...

O-LevelMathematicsGeometryOct/Nov 2018

In the diagram, A, B, C, D and E lie on the circle. AB is parallel to ED. ABE = 62°, CDE = 127° and BEC = 40°. [Figure of cyclic quadrilateral with...

O-LevelMathematicsGeometryOct/Nov 2018

In the diagram, PQ intersects LM at O. [Figure of intersecting lines]

O-LevelMathematicsCoordinate geometryOct/Nov 2018

P is the point (–3, 4), Q is the point (5, 1).

O-LevelMathematicsNumberOct/Nov 2018

Evaluate 9¹ + 9⁰ .

O-LevelMathematicsNumberOct/Nov 2018

E = { 0, 1, 2, 3, 4, 5, 6 } P = { x : x = 0, 1, 2 } Q = { y : y = 0, 2 }

O-LevelMathematicsVectors and transformationsOct/Nov 2018

Express (2, 1) - 3(-1, 2) + 2(-2, 0) as a single vector.

O-LevelMathematicsAlgebra and graphsOct/Nov 2018

A train travels between two stations, starting and finishing at rest. For this journey it * accelerates uniformly, from rest, for the first 30 seco...

O-LevelMathematicsVectors and transformationsOct/Nov 2018

In the diagram, ADB and ACF are straight lines. BC intersects DF at E. AC : CF = 2:1. DB = p, BE = 3q, EC = 2q and AC = 3p + 5q. [Figure of vectors]

O-LevelMathematicsStatisticsOct/Nov 2018

(a) The table shows the distances 10 people drive to work and the times they take. Distance (km) 12 32 18 54 26 36 29 15 20 42 Time (minutes) 20 40...

O-LevelMathematicsNumberOct/Nov 2018

Dina owns a clothes shop.

O-LevelMathematicsTrigonometryOct/Nov 2018

The diagram shows a triangular field ABC. AB = 95 m, BC = 132m and AC = 174 m. [Figure 3.1]

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