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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-LevelMathematicsGeometryOct/Nov 2020

In the diagram, OC and OA each make an angle of 70° with the North line. AÔB = x° and BÔC = y°.

O-LevelMathematicsNumberOct/Nov 2020

In the Venn diagram, shade the subset (P∪Q)∩R'.

O-LevelMathematicsGeometryOct/Nov 2020

Using compasses and a straight edge only, construct the bisector of AÊC.

O-LevelMathematicsCoordinate geometryOct/Nov 2020

In the diagram, OABC is a parallelogram. The equation of the line CB is _y = x+2.

O-LevelMathematicsGeometryOct/Nov 2020

In the diagram, AC is a diameter of the circle centre O. The tangents from T touch the circle at B and C. BCT = 62°.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Some numbers are arranged in rows. Each row contains one more number than the previous row. The numbers in each row are two more than the numbers i...

O-LevelMathematicsStatisticsOct/Nov 2020

The times, t minutes, taken by some people to travel to work are shown in the table. Time (t minutes) | 10<t≤20 | 20<t≤25 | 25<t≤30 | 30<t≤50 -----...

O-LevelMathematicsVectors and transformationsOct/Nov 2020

Triangle A and triangle B are drawn on the grid.

O-LevelMathematicsCoordinate geometryOct/Nov 2020

Line L is perpendicular to the line y = -1/2x+3. Line L passes through the point (8, 9). Find the equation of line L.

O-LevelMathematicsVectors and transformationsOct/Nov 2020

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

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

The diagram is the speed-time graph representing part of a train's journey. The train moves at a constant speed of 20m/s for 40 seconds. It then sl...

O-LevelMathematicsNumberOct/Nov 2020

Express 99 as the product of prime factors.

O-LevelMathematicsGeometryOct/Nov 2020

In the diagram, ABP and ACQ are straight lines. AČB = APQ.

O-LevelMathematicsNumberOct/Nov 2020

Find the fraction which lies exactly halfway between 3/5 and 5/7. Give your answer in its simplest form.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Factorise. 12t² - 4t

O-LevelMathematicsNumberOct/Nov 2020

Write these lengths in order of size, starting with the smallest. 0.043 km 433 cm 4340 mm 4 1/3 m

O-LevelMathematicsNumberOct/Nov 2020

Sandra buys a vase for $40 and sells it for $200. Calculate her percentage profit.

O-LevelMathematicsStatisticsOct/Nov 2020

These are the minimum temperatures, in °C, recorded by a weather station each day during one week. -2.3 -4.6 -1.2 -0.7 -1.4 -2.4 -3.5

O-LevelMathematicsNumberOct/Nov 2020

By writing each number correct to 1 significant figure, estimate the value of 6.044² / (212 × 0.304)

O-LevelMathematicsGeometryOct/Nov 2020

In the diagram, the time on the clock is 2.30 pm. Calculate the reflex angle between the two hands of the clock.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Simplify 3(3a-4) + 2(2-a).

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Solve the simultaneous equations. 3x - 2y = 12 4x + y = 5

O-LevelMathematicsNumberOct/Nov 2020

Express 340000 in standard form.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Simplify (2x²)³.

O-LevelMathematicsNumberOct/Nov 2020

(a) P = { 1, 2, 3, 4, 5, 6, 7, 8 } Q = {1, 3, 5, 7, 9, 11 } Find n(P∪Q).

O-LevelMathematicsMensurationOct/Nov 2020

This net is folded to make a triangular prism.

O-LevelMathematicsProbabilityOct/Nov 2020

Two bags contain beads. The first bag contains 7 beads, of which 3 are red and 4 are white. The second bag contains 5 beads, of which 2 are red and...

O-LevelMathematicsStatisticsOct/Nov 2020

The heights of a sample of plants were measured. The results are shown in the table and in the histogram. Height (h cm) | 5<h≤10 | 10<h≤15 | 15<h≤2...

O-LevelMathematicsGeometryOct/Nov 2020

The diagram shows the positions of three boats A, B and C.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

The diagram is the distance-time graph of Safira's journey from home to a shop and back again. She leaves home at 08 15 and returns at 08 50.

O-LevelMathematicsVectors and transformationsOct/Nov 2020

Triangle A, triangle B and the point P (–2, 2) are drawn on the grid.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

The diagram shows a sequence of patterns. Each pattern has one more row, and two more dots in each row, than the pattern before it.

O-LevelMathematicsCoordinate geometryOct/Nov 2020

The diagram shows a triangle formed by joining the points A (1, 2), B (13, 2) and C (4, 8). The equation of the line BC is 2x+3y = 32.

O-LevelMathematicsGeometryOct/Nov 2020

In the diagram, A, B, C, D and E lie on the circle, centre O. AOB = 48°, DEB = 54°.

O-LevelMathematicsGeometryOct/Nov 2020

In the diagram, the circles with centres O and Q touch at P where OPQ is a straight line. The line ORT intersects the smaller circle at R and is a ...

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

A = (2 1 / -3 -2) Find A².

O-LevelMathematicsNumberOct/Nov 2020

Here is some information about a holiday. 7-night holiday $340 per person 8% discount if you book before 31 March On 15 February, Naseem books this...

O-LevelMathematicsStatisticsOct/Nov 2020

The cumulative frequency diagram shows the masses, in grams, of 60 potatoes of variety A.

O-LevelMathematicsTrigonometryOct/Nov 2020

In triangle PQR, PR = 7.5 cm and QR = 6 cm. Using a ruler and compasses only, construct triangle PQR. Line PQ has been drawn for you.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Complete the table for y = 4/5 × 2^x. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 --|----|----|----|---|---|---|--- y | | 0.2| 0.4| 0.8| 1.6| 3.2| 6.4

O-LevelMathematicsMensurationOct/Nov 2020

The diagram shows a garden shed positioned on horizontal ground. It is in the shape of a prism with trapezium ABCD as its cross-section. The base o...

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

Solve the inequality 6x-7 > 5-2x.

O-LevelMathematicsGeometryOct/Nov 2020

A, B, C and D are points on the circle, centre O. BÂD = 68° and CBO = 52°. Find CÔD.

O-LevelMathematicsProbabilityOct/Nov 2020

A bag contains 36 balls. There are n red balls in the bag. The rest of the balls are green. Esther takes two balls from the bag, at random, without...

O-LevelMathematicsVectors and transformationsOct/Nov 2020

H is the point (5, 2) and J is the point (-3, 6). Find HJ.

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

f(x) = (3-2x)/5 g(x) = (x-7)/4

O-LevelMathematicsNumberOct/Nov 2020

The cash price of a car is $13000. Marta pays in instalments for this car. Marta pays a deposit of 15% of the cash price. She then pays 24 monthly ...

O-LevelMathematicsStatisticsOct/Nov 2020

(a) A group of 80 students each completed a task. The table shows the time, t minutes, each student took to complete the task. Time (t minutes) | ...

O-LevelMathematicsAlgebra and graphsOct/Nov 2020

(a) Complete the table for y = x/4 + 2/x . The values of y are given correct to 2 decimal places where appropriate. x | 0.5 | 1 | 1.5 | 2 | 3 | 4 ...

O-LevelMathematicsMensurationOct/Nov 2020

(a) [Volume of a sphere = 4/3 πr³] [Surface area of a sphere = 4πr²] [Figure 4.1] The diagram shows a solid formed by joining a cylinder to a hemis...

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