Cambridge & Pearson Edexcel Past Paper Questions

Evaluate ³√216,

The diagram shows the speed-time graph for 100 seconds of a car's journey. The car accelerates uniformly from a speed of v m/s to a speed of 3v m/s...

Luis has 3 black pens and 7 red pens in a case. He takes two pens from the case at random without replacement.

Shape ABCDEFG is made from two squares and a right-angled triangle. AB = 15 cm and BC = 12 cm. [Figure 22.1]

Expand and simplify (2x + 1)(x+4).

Some students were asked how long they had each spent doing homework the day before. The results are summarised in the table. Time (t hours) 0<t≤...

In quadrilateral ABCD angle A = (2y + x)° angle B = (3y + x)° angle C = (2y + 10)° angle D = (3x + 5)°

Express as a single fraction in its simplest form x 2 —---- - —---- (x-4)² x-4

(a) 𝓔 = {x: x is an integer and 5 ≤ x ≤ 15} A = {x : x is a multiple of 3} B = {x: x is a factor of 60} C = {x: x is a prime number} (b) An activ...

(a) Zara owns a hairdressing salon. She buys a pack of 60 bottles of shampoo from a warehouse for $240. She plans to sell the bottles of shampoo to...

[Figure 4] A, B, C, D and E are points on a circle with centre O. AD is a diameter of the circle and F is the point of intersection of AD and CЕ. A...

(a) Here is part of a number grid. A square can be placed anywhere on the grid outlining four numbers. The numbers in opposite corners of the squar...

(a) A candle is in the shape of a cylinder of radius 1.6 cm and height 7.5 cm. (b) The length of a rectangular photo is 17.8 cm, correct to the ne...

The variables x and y are connected by the equation y = x³/2 - 3x + 1. Some corresponding values of x and y are given in the table below. X | -3 |...

A group of 80 students enters a science quiz. The table shows the distribution of their scores. Score (s) | 0<s≤10 | 10<s≤20 | 20<s≤30 | 30<s≤40 |...

[Figure 9] The diagram shows a field on horizontal ground. The side AB is next to a straight road XY. AB = 130m, BC = 164m and ABC = 115°.

(a) p = (1 -3) q = (-2 0) (b) The diagram shows triangles A and B. [Figure 10.1]

Imran drives a distance of 180 km on a business trip. He drives the first 100 km at an average speed of x km/h. He drives at an average speed 5 km/...

The scale drawing shows three airfields, A, B and C, with B due north of A. The scale is 1 cm to 20 km. [Figure of A, B, C and North arrow]

f = (6c² - d) / 4. Find f when c = 8 and d = -4.

Mariam works in a shop. She earns $5.20 per hour. She also earns a bonus of 15% of the value of the items she sells in a week. In one week she work...

A bag contains six identical balls numbered 2, 3, 4, 5, 6 and 7.

The diagram shows a framework ABCD supporting a shop sign. The framework is fixed to a vertical wall AB with CD horizontal. AC = 64 cm and CD = 80 ...

The first five terms of a sequence are 17, 11, 5, -1, -7. Find, in terms of n, an expression for the nth term of this sequence.

The pie chart summarises the results of a local election. [Pie chart with Candidate D, A, C, B sectors and angles 144°, 60° shown]

In this question you may use the grid below to help you. The point P has position vector (4, 2) and the point Q has position vector (8, -3). [Grid]...

[Volume of a cone = (1/3)πr²h] [Curved surface area of a cone = πrl] The diagram shows a solid cone of height 15 cm and base radius 6 cm. [Figure o...

Adil wants to fence off some land as an enclosure for his chickens. The enclosure will be a rectangle with an area of 50 m². [Diagram: Rectangle wi...

The diagram shows two circles with equal radii. A, E and C are points on the circle, centre B. B, E, D and F are points on the circle, centre C. AB...

Evaluate 3/8 + 1/3.

In the diagram, six small triangles are shaded. Shade one more small triangle, so that the diagram will then have one line of symmetry.

Express 3 3/4 % as a fraction in its simplest form.

Correct to 6 decimal places, √10 = 3.162 278, 3 1/6 = 3.166 667. Find the difference between 3 1/6 and √10. Give your answer correct to 2 significa...

p = 4 × 10⁵ q = 7 × 10⁶ Expressing each answer in standard form, find

A car manufacturer states that a particular car • uses 5 litres of fuel in travelling 100km, • produces 110 grams of CO₂ for each kilometre travelled.

The times taken by each member of a group of people to run one kilometre were recorded. The results are shown in the table. Time (t minutes) 2<t≤3,...

Find the integers n that satisfy 20 < 4n-3 < 30.

y is inversely proportional to the square of x. Given that y = 3 when x = 2, find y when x = 5.

P = (3 4 -5) Q = ( -1 1 ; 1 0 ; 0 -1 ) Evaluate PQ.

Express 1/x + 2 - 3/(x+1) as a single fraction in its simplest form.

Given that 6^x = 9, write down the value of

In the diagram, triangle ABC is similar to triangle XYZ. AB = 3cm, BC = 8cm, YZ = 12cm and ZX = 15cm. [Figure 13]

A pie chart is used to illustrate the numbers of adults, girls and boys in a group of people. The angles for the adults and girls are 80° and 120° ...

A is the point (1, 7) B is the point (6, 7) The line AB is mapped onto the line PQ by the translation ( 0 ; -5 ). [Figure 15]

Express as a single matrix ( 1 -3 ; 1 0 ) - ( 1 -2 ; 2 -5 ).

Factorise completely 3 - 12a².

ε = { x : x is an integer, 40 ≤ x ≤ 50 } P = { x : x is a prime number } Q = { x : x is a multiple of 6 }

In the diagram, A, B, C and D lie on the circle, centre O. AD is a diameter. The tangent to the circle at B meets the line DA produced at T. AOB = ...

Four oil-rigs are positioned at the vertices of a rectangle ABCD . The bearing of B from A is 040°. [Figure 20]

[Figure 21] On the grid, shade the region, R, given by these inequalities. 1 ≤ x ≤ 5 ; 2 ≤ y ≤ 4