Edexcel Past Paper 7

Here is some data.

146  97  109  97  141  146  103  97  94  94

Find the mode of this data.

Work out 17.456 – 6.072

Work out 2⁵⁄₆ + 9¹⁄₃

Give your answer as a mixed number.

Lara wants to join a cycling club.
The club website states that the average speed of club rides is 15 miles per hour.

Lara goes on a ride to work out her average speed.
She rides 60 km in 3 hours.

1 mile = 1.6 km

Lara thinks that her average speed is lower than the average speed of club rides.

Is she correct?

Bart is the manager at a building site.
He needs to lay a concrete foundation.

The diagram shows the ground space for the concrete foundation.

The depth of concrete will be 0.3 m

Concrete is delivered in concrete mixer trucks.

Each mixer truck holds 6 m³ of concrete.

How many mixer trucks of concrete does Bart need in total for the concrete foundation?

Here is a formula.

Work out the value of K when U = 2.9 and V = 6

Archie puts an advert for his company online.
He has to pay £0.85 each time someone clicks on his advert.

At the end of week 1 Archie pays £650.25 for the total number of clicks on his advert.

Archie estimates that each week the total number of clicks on his advert will increase by 20% on the previous week.

Archie thinks that in week 3 more than 1000 people will click on his advert.

Is he correct?

The scatter diagram shows information about the age of patients and the waiting time for these patients to get an appointment.

Describe the relationship between the age of patients and the waiting time.

The scatter diagram shows information about the age of patients and the waiting time for these patients to get an appointment.

Work out the fraction of patients aged over 50 who had a waiting time greater than 30 days.

Kelly works in a grocery shop.
She wants to order 120 chocolate eggs.
Kelly finds this offer.

She thinks she can buy 120 chocolate eggs for less than £200 with this offer.

Is Kelly correct?

The tree diagram shows the probability that an item of clothing selected at random is

• a skirt or a dress
• long or short.

Complete the probability tree diagram.

An item of clothing is chosen at random.

Work out the probability that this item is a long skirt.

Takeshi is the manager at a laboratory.
The table shows information about the number of tests done at the laboratory each day in April.

Takeshi expects the mean number of tests done each day in May to be 12.5% greater than the estimated mean number of tests done each day in April.

The laboratory is open for 31 days in May.

Each test brings an income of £130 for the laboratory.

Work out the expected income for the laboratory in May.

Jasper organises large events.

Last week 23 workers took 4 hours to build a stage for a concert.

Next week Jasper wants to hire workers to build the same stage in 3 hours.

Work out the minimum number of workers needed to build the stage in 3 hours.

Vicky works in a park.
She needs to put edging around a lawn in the park.
The diagram shows the dimensions of the lawn.
The lawn is made up of rectangles.

Vicky will buy edging in 5 metre lengths.
She can cut and join the lengths of edging.
She knows that 1 metre is 3.3 feet.

Each length of edging costs £38.99
Vicky has £1000 to buy the edging.

Does Vicky have enough money to buy all the edging she needs?

Write as a number

seven million four hundred and thirty thousand nine hundred.

Dorothy reads an article about a talent show.

The article states that 17 424 people applied to enter the show last year.
Each person that applied was either a singer or a dancer.
The ratio of the number of singers to the number of dancers was 3 : 5
This year 19 500 people applied to enter the show.
39% of these people were singers.
Dorothy thinks that at least 1200 more singers applied to enter the show this year than last year.

Is she correct?