Edexcel Practice Paper 1

Bill is a builder.
On Monday he made mortar mix.
He used 24 kg of sand and 5 kg of cement.

On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.

How much cement does he need to make the same type of mortar mix?

Write 2.71828 correct to 3 decimal places.

Here is a formula.
P = 3T²
Work out the value of P when T = 10

Lizzie buys 3 clocks for a total cost of £50 at a car boot sale.
She sells 2 of the clocks for £22 each and the other clock for £20
Lizzie thinks she has made a profit of over 30% of the cost of the clocks.

Is Lizzie correct?

Usha is a local councillor.
She wants to write about a new housing development.

The diagram shows the space for the new development.

Usha thinks that the area of the development will be greater than the total area of
50 football pitches.
Usha knows

• a football pitch is rectangular 100 m by 50 m
• 1 mile = 1600 m.

Will the area of the development be greater than the total area of 50 football pitches?

David reads this advert on his county council website.

Work out the area of woodland in the county that is not native woodland.

The scatter diagram gives information about the temperatures at 8 different heights
up a mountain.

At a height of 1000 m the temperature is −13°C.

What are the coordinates of this plot?

Here is a pentagon.

The pentagon has one line of symmetry.

Work out the size of the angle marked x.

Nicola wants to put a flat roof on a bike store.

The roof will be

• made of concrete
• in the shape of a cuboid as shown.

Nicola wants to put a metal strip along 2 of the longest edges of the roof.

She knows

• the density of concrete is 2300 kg per m³
• the mass of 1 metre of metal strip is 5 kg.

Work out the total mass of the concrete and the strips she wants.

Mai has this information about 100 flowering plants in her shop.

She will take a plant at random from these plants.

Work out the probability that this plant will have a large flower and a long stem.

Mai has this information about 100 flowering plants in her shop.

Mai will take at random a plant from the 72 plants that have a large flower.

Work out the probability that this plant will have a short stem.

Sal works in a dress shop.
She wants to know how well the labels on the dress hangers agree with the true size of the dresses.
The table shows information about some hangers and dresses.

Sal thinks that 2 in every 7 dresses are on hangers with the wrong label.

Is Sal correct?

James has a contract to paint 30 identical water tanks.
He has to paint the outside surfaces of each tank, but not the top.

Each surface is rectangular.

James knows that 1 tin of paint

• is enough to cover 12 m² of surface
• costs £26.99

Work out the total cost of the tins of paint he will need for all 30 water tanks.

Andros has an oil fired heating system.
In a 30-day period he used a full tank of oil at a constant rate per day.

At a different time of the year the amount of oil Andros uses per day is ¹/₃ of the rate used in the 30-day period.

How many days should a full tank of oil last at this new rate?

Lena recorded the number of late trains at a station in a day over a period of time.

She shows this information in a diagram.

Work out the median number of late trains in a day.

Lena recorded the number of late trains at a station in a day over a period of time.

She shows this information in a diagram.

Lena says ‘The median number of late trains in a day, from this information, is a good estimate of the average number of trains late over the period of time.’

Is Lena correct?

Joanna is a landscape gardener.
She has to fill a circular space with flowers.

The radius of the circular space is 4.5 metres.
Joanna will plant 40 flowers per square metre of space.
She will plant 4 times as many red flowers as white flowers.

How many red flowers will she plant?

Jim owns a small business.
The table shows information about the weekly wage of the 40 workers.

Jim wants to increase the mean wage by 4%, plus £10
Jim thinks the new mean weekly wage of these workers will be more than £415

Is Jim correct?