Edexcel Past Paper 1

Work out 5.2 × 9.6

Work out 4 × 3²

On Thursday evening Malcolm’s bank balance was −£107.35

On Friday morning
• £1867.68 is paid into his bank account
• £715.21 is paid out of his bank account.

No other payments occur.

Work out how much money is in Malcolm’s bank account on Friday evening.

Akash needs to put plastic trim on a shaped window.

The window is made using a rectangle and a semi-circle.

The diagram shows the places where he needs to put the plastic trim.

Akash estimates that he will need 700 cm of plastic trim in total.

Use estimation to check if Akash’s estimate is sensible. Answer Yes or No.

Calvin is a train company manager.

He compares the arrival times of a morning train service for 10 days in the summer and for 10 days in the winter.

In the summer the median number of minutes late was 12.7 minutes.
The range of the number of minutes late was 11 minutes.

The results below show the number of minutes late in the winter.

8, 32, 44, 5, 17, 67, 9, 14, 10, 26

Calvin thinks that in the winter
• the median number of minutes late increases
• the train service is less consistent.

Is Calvin correct?

Adam works for an agency.
His normal hourly rate is £8.32

The agency asks Adam to work 6 hours for a new company.
Adam will be paid time and a third of his normal hourly rate.
How much will Adam get paid in total when working for the new company?

Here is a square based pyramid.

Work out the volume of this pyramid.

Rana donated to 4 charities last year.

She gave £175 to each of these charities.

This year Rana wants to donate the same total amount between 6 charities.
Each charity will receive an equal amount.

How much will each charity receive this year?

Samir is a roofer.

Here is a section of a roof made from straight pieces of wood.

Samir knows that
• the shaded triangle is an equilateral triangle
• the line DB is a line of symmetry
• the line ABC is a straight line
• the size of the angle marked x° indicates the pitch of the roof.

The table shows information about the pitch and angle of a roof.

Find the value of x and use the table to give the pitch of the roof.

Samir wants to work out the cost of the tiles needed to replace a roof.

The roof has 4 identical faces.

Each face is a triangle.

Each triangle has a base length of 7.6 m and a height of 4.8 m.

Samir can only buy whole packs of these tiles.

Calculate the total cost of the tiles for the 4 faces of this roof.

Farah is buying clothes from a website.

The website shows this information about a jacket Farah wants to buy.

The website claims this is a saving of 46%.

Is the sale price a saving of 46% on the original price?

Magda wants to compare the population density of the two largest countries in the world.

Canada has a population density of 3.57 people per km²

Russia has
• a population of 143.96 million
• a land area of 6.593 million square miles.

Magda thinks that Russia has a greater population density than Canada.

Is Magda correct?

Work Out 3 ³/₈ – ⁹/₈

Give your answer as a mixed number.

Emilio makes metal fences.
He is making a fence using this design.

The fence will need
• 3 horizontal metal pieces of length 1.8 m
• 2 tall metal pieces of length 1.44 m
• 5 medium metal pieces
• 6 short metal pieces as shown on the diagram

The heights of the tall, medium and short metal pieces are in the ratio 9 : 8 : 7

How many metres of metal in total does Emilio need to make the fence?

The table shows some information about 60 holidays bought by customers at a travel agency.

A customer who bought a holiday at the travel agency is chosen at random.

What is the probability that this customer bought an all-inclusive holiday for a couple?

Give your answer as a fraction in its simplest form.

The table shows some information about 60 holidays bought by customers at a travel agency.

The travel agent says
‘Of the couples and families who bought holidays the couples were more likely to have bought an all-inclusive holiday.’

Is the travel agent correct?