Edexcel Past paper 10

Write 50 as a fraction of 125

Give your answer in its simplest form.

Work out 18.17 + 4.398

Remember to show your working.

Work out   

Give your answer as a mixed number. 

Hana wants to buy a new washing machine.

She will use one of these offers.

Hana wants to spend the least amount of money.

Which offer should Hana use?

Jack is managing a concert.
The diagram shows the total floor space for the concert.

Jack receives £21 for each square metre of floor space from ticket sales.
He donates ¹/₇ of the total he receives from ticket sales to a charity.

How much money does Jack donate to the charity?

Marta and Aki want to move into a two-bedroom flat.
Marta will have the bigger bedroom.
The total monthly rent for the flat is £720
Marta and Aki will share the cost of the rent in the ratio 9 : 7
Marta thinks she will pay less than £400 a month in rent.

Is Marta correct?

Ben is the manager of a mobile phone shop.
He starts to record the sales of mobile phones to 50 customers.

Complete the table for Ben.

Ben is the manager of a mobile phone shop.
He starts to record the sales of mobile phones to 50 customers.

Ben selects at random one of the customers who bought a mini mobile phone.

What is the probability that this customer bought a 128 GB mobile phone?

Emma hires a large tent for a party.
The diagram shows the shape of the ceiling of the tent.
The ceiling is made up of a rectangle and two semi-circles.

Emma wants to put a flower garland around the edge of the ceiling.
She has 40 feet in length of flower garland.
Use 1 metre = 3.3 feet

Does Emma have enough flower garland to go around the edge of the ceiling?

Jake and Tia are preparing to take part in a 10 km race.
They both run 10 km each week for 6 weeks.
Jake records his times.

Tia says,
“my median time is 61 minutes.”

Is Jake’s median time greater than Tia’s median time?

Ms Daly gives her students one week to prepare for a maths test.
The scatter diagram shows the number of hours spent on revision and the mark in the test for each of 31 students.

Ms Daly uses the scatter diagram to recommend how much revision time students need to get a high mark on the test.

What percentage of the students who revised for more than 15 hours scored over 70 marks in the test?

Alya is a baker.
In April she will use 400 kg of flour to make bread.
In May she plans to increase the amount of bread she makes by 14%
Alya needs to order the flour she needs to make the bread in May.

How much flour does Alya need to order to make the bread in May?

This graph can be used to convert between miles per hour and kilometres per hour.

Karim buys a new car.
The fuel tank of the car has a capacity of 62 litres.
He knows 1 gallon = 4.546 litres

What is the capacity of this fuel tank in gallons?
Give your answer correct to 2 decimal places.

Amir is a builder.
He needs to work out how much it will cost him to build a wall.
Amir uses this information to work out the number of bricks he needs.

The wall will be
• 7.9 m in length
• 9 bricks in height
• 8.6 m in width.
The bricks Amir will use are in the shape of a cuboid.

Amir has these prices for bricks.

He uses the mode of these prices to work out the total cost of the bricks he needs for the wall.
Amir will also pay £75 for the other materials he needs to build the wall.

Work out the total cost of the bricks and other materials for Amir.

Craig works on a building site.
He knows it takes 2 bricklayers 3 hours to lay a total of 450 bricks.
On Monday there are 5 bricklayers at the building site.
All the bricklayers work at the same rate.

How much time would it take 5 bricklayers to lay a total of 450 bricks?

Work out the value of 

Write ³⁄₈ as a decimal.

Ben is the manager of a leisure centre.
He has this formula to work out the volume of the water in the pool.
V = 10dw + 15aw

where
V = the volume of the water in the pool (m3)
d = the depth of the water at the deep end of the pool (m)
w = width of the pool (m)
a = the depth of the water at the shallow end of the pool (m)

Ben knows the width of the pool is 12 m.
The depth of the water at the deep end is 2 m.
The depth of the water at the shallow end is 1.5 m.

Ben uses two water pumps at the same time to empty the pool.
Pump A empties water at a rate of 31.2 m³ per hour.
Pump B empties water at a rate of 27 m³ per hour.
Ben thinks that using the two water pumps will empty the pool in less than 9 hours.

Is he correct?

Ricardo gets a new job at a leisure centre.
He records the number of visits of 50 clients in August.

Ricardo works out an estimate for the mean number of visits by these clients in August.

His manager tells him this is a 16% increase on the mean number of client visits in July.

What was the mean number of client visits in July?