Cambridge & Pearson Edexcel Past Paper Questions

Evaluate 6/7 - 3/5

The masses, in kilograms, of 20 parcels sent by a dispatch centre are given in the table. 4.2 5.3 5.1 7.8 8.2 7.5 3.2 5.7 4.1 5.9 8.4 5.6 8.0 3.2 4...

y is inversely proportional to x. Given that y = 1/6 when x = 30, find y when x = 10.

f(x) = x/4 Find f(1/2).

The timetable for buses from A to E, calling at B, C and D, is given below. A 0812 0842 and every 30 minutes until 1712 B 0833 0903 and every 30 mi...

The diagram shows a scale from 3.8 to 3.9, divided into five equal parts. What is the value at the mark labelled P?

In the diagram, ABC is parallel to DEFG. BC = BE, ACE= 35° and BFG = 102°.

Thirty students were asked on how many days they ate pasta last week. The results are given in the table. Number of days 0 1 2 3 4 5 Frequency 9 6 ...

The area of a rectangle is given as 8 cm², correct to the nearest cm².

By making suitable approximations, calculate an estimate for 40.32 × √35.7 / 2980 Show clearly the approximations you use and give your answer corr...

The mean age of Ali, Ben and Chris is 14 years 3 months. Dai's age is 15 years and 3 months. Calculate the mean age of the four people.

a^x = 5 Find a^(2x).

The distribution of the lengths of time spent on the internet on a Monday by each member of a group of students is given in the table. Time (t minu...

Find the two solutions of x/3 - 1 < 3x/4 which are negative integers.

The diagram shows a figure made from five identical triangles. The figure has rotational symmetry.

Write the number 360 million in standard form.

Find 110% of 70.

An open rectangular tray has inside measurements length 11 cm width 6 cm height 5 cm.

Each time an archer fires an arrow, the probability that she hits the target is 0.7 . She fires two arrows.

The coordinates of P and M are (−3, 10) and (0, 4).

Express 3((3 1) (-5 -4)) - 2((1 -3) (0 2)) as a single matrix.

Factorise 9a² – 6a.

The diagram shows the triangle ABC.

The diagram is the speed-time graph of part of a train's journey.

In the diagram, the equation of the line AC is 7x + 5y = 35.

The sequence of diagrams shows patterns made from some black beads and some white beads. Each diagram has two rows more than the previous diagram.

In the diagram, OP = (-3, 4) and PQ = (2, 0).

Jasmine earns $12.50 for each hour she works. She works for 38 hours each week. She is given a pay increase of 6%. Calculate the total amount Jasmi...

Sunil recorded the lengths, in minutes, of the 150 phone calls he made one month. His results are summarised in the table. Length of call (t minut...

The diagram shows the positions of three towns, A, B and C. B is due north of A and the bearing of C from A is 220°. AB = 25 km and AC = 38km.

Adam has a bag containing 9 balls, numbered from 1 to 9.

Solve y / (2y+3) = 2 / (y+5) .

Find ACB.

The points (4, -3) and (0, 5) lie on the line L. Find the equation of line L.

[Volume of a cone = 1/3 πr²h] [Curved surface area of a cone = πrl] [Volume of a sphere = 4/3 πr³] [Surface area of a sphere = 4πr²] The diagram sh...

A pump takes 12 minutes to add 3000 litres of water to a pond. How long will it take the same pump to add 1750 litres of water to a pond?

Triangle A is shown on the grid.

ABCD is a rectangle. P and Q are points on DC. AQ and BP intersect at R. Prove that triangle ARB is similar to triangle QRP. Give a reason for each...

Sara buys a new car. The cash price of the car is $4500. She can pay for the car using option A or option B. Option A Pay 1/5 of the cash price th...

A company asked their employees how long they took to travel to work one day. The table summarises the times for 120 employees. Time (t minutes) |...

Anya makes T-shirts. The matrix, M, shows the number of T-shirts of different types she makes in one week. M = ( 10 25 30 ) Men ( 20 40 25 ) ...

(a) Triangle A is shown on the grid. [Figure Triangle A on grid] (b) Triangle P is shown on the grid. [Figure Triangle P on grid]

Express as a single fraction in its simplest form `4/(x-2) - 5/(x+1)`.

(a) & = {x : x is an integer and 10 ≤ x ≤ 20} A = {x : x is an odd number} B = {x : x is a multiple of 5} (b) In a survey, 40 people were asked wh...

(a) The variables x and y are connected by the equation y = `3+x-x²/2`. Some corresponding values of x and y are given in the table below. x (t mi...

The diagram shows two circles each with centre O. A, B, C and D are points on the circumference of the large circle. E, F and G are points on the c...

(a) The ventilation shaft for a tunnel is in the shape of a cylinder. The cylinder has radius 0.4m and length 15 m. (b) The diagram shows the cros...

A rectangular picture, ABCD, is placed inside a rectangular frame. [Figure of a rectangular picture inside a frame] The length, AB, of the picture ...

A vertical mast, XY, is positioned on horizontal ground. The mast is supported by four cables attached to the mast at P and to the ground at points...

Write 17 1/2 % as a fraction in its simplest form.