Edexcel Past Paper 9

Shannan has a new car.

The petrol tank has a maximum capacity of 48 litres.
The cost of petrol is 126.7p per litre.

Shannan thinks it will cost less than £70 to completely fill an empty tank with petrol.

Use estimation to check if Shannan is correct.

Henry is designing the car park for a new shopping centre.
The total number of parking spaces at the shopping centre will be 900

150 of the parking spaces will be for staff.
The rest of the parking spaces will be for visitors.

Henry wants 6% of the visitor parking spaces to be parking spaces for
disabled visitors.

Work out the number of parking spaces for disabled visitors in this car park.

Here is a list of numbers.
12.96  12.096  12.9  12.45  12.1  12.738  12.62

Find the median.

Work out ⁷⁄₈ – ³⁄₅

Raffi wants a two-storey extension built on the side of his house.
This scale diagram shows the plan view of the floor for each storey.

Raffi looks at the websites for different builders.
The table shows the cost per m² to build a one-storey extension.

Raffi will use the mode of these costs to help work out the expected cost to build this two-storey extension.

He also knows that the cost per m² to build a two-storey extension is 1¹⁄₂ times the cost per m² to build a one-storey extension.

Work out the expected cost to build the two-storey extension for Raffi.

Thalia owns a chocolate factory.

The workers in the factory work 7 hours per day.
They produce 65 boxes of chocolate per hour.

Thalia gets an order for 9100 boxes of chocolates.

Work out the number of days needed to produce 9100 boxes of chocolates.

Thalia has 6 machines to produce chocolate in her factory.
Each machine produces the same amount of chocolate.

It takes 3¹⁄₂ hours for these 6 machines to produce enough chocolate to fill a crate with chocolate bars.

On Tuesday only 4 of the machines are working.

Work out the number of hours the 4 machines will take to produce the chocolate needed to fill a crate with chocolate bars.

The scatter diagram shows information about the outside temperature and the number of gas units used to heat a house on each of ten days during January.

The range of the number of gas units used to heat this house each day during October was 11 gas units per day.

Jenson thinks the number of gas units used to heat this house each day is more consistent in October than in the ten days in January.

Is Jenson correct?

The scatter diagram shows information about the outside temperature and the number of gas units used to heat a house on each of ten days during January.

The range of the number of gas units used to heat this house each day during October was 11 gas units per day.

Jenson also thinks there is no relationship between the outside temperature and the number of gas units used to heat this house in these ten days in January.

Is Jenson correct?

Kady runs a household waste centre.
Rubbish collected at the centre is either sent for recycling or sent to landfill.

The table shows information about the weight of each type of rubbish sent for recycling last month.

The total weight of rubbish collected at the centre last month was 653.64 tonnes.

What percentage of all the rubbish collected last month was sent for recycling?

Natalie will plant flower bulbs on a road roundabout.
The roundabout is in the shape of a circle with diameter 14 m.

Natalie will plant the flower bulbs in a circle 75 cm from the edge of the roundabout.
The dashed line in the sketch below shows where the flower bulbs will be planted.

Natalie will plant a flower bulb every 25 cm starting from point S.

The flower bulbs are sold in packs.
Each pack has 16 flower bulbs.

How many packs of flower bulbs will Natalie need?

Andrew is training to run in the New York Marathon.
The New York Marathon is 26.2 miles long.
The qualifying times to run in the New York Marathon are shown in the table below.

Andrew is 51 years old.
His current average running speed is 8 miles per hour.

Andrew thinks he will need to run at a faster speed to be able to qualify for the New York Marathon.

Is Andrew correct?

Dave needs to make 3500 lbs of concrete mix using cement, sand and gravel.
He will mix cement, sand and gravel in the ratio 1 : 2 : 5 by weight.

Cement, sand and gravel are sold in kilograms.
Dave uses this graph to convert between lb and kg.

Work out the weight, in kilograms, of cement, of sand and of gravel that Dave needs to buy.

Here is a centimetre grid.

Write down the coordinates of point B.

Here is a cone.

Work out the volume of this cone.

Darius restores old furniture.
He has 12 chairs and 3 tables to restore.
Darius writes a list of the costs to restore all of the chairs and all the tables.

Darius sells each table for £127 and each chair for £32

Work out the percentage profit Darius makes after selling all the chairs and all the tables.
Give your answer correct to 1 decimal place.

Jasmine is doing a survey about learning to drive.

The table shows information about the number of driving lessons 60 people had before passing their driving test.

Jasmine estimates that the mean number of driving lessons these people had before passing their driving test is more than 35 lessons.

Is this estimate of the mean correct?

Jasmine is doing a survey about learning to drive.

The table shows information about the number of driving lessons 60 people had before passing their driving test.

One of these 60 people is chosen at random.

What is the probability that this person had more than 30 lessons before passing their driving test?