NCFE Maths Level 2 Practice Paper Section B

An article states that, every year, nine hundred and seventy thousand, two hundred and fifteen working days are lost due to air pollution-related illness.
Write nine hundred and seventy thousand, two hundred and fifteen as a number.

84% of the days lost due to air pollution related illnesses are due to breathing related problems.
Calculate the number of days lost due to breathing related problems.
Give your answer to the nearest thousand.

Schools and colleges can have very high levels of air pollution if they are close to a main road.
This is a map of the area around Ali’s college:

At its closest point, the main road is 0.35 km from the college.
What scale has been used for this map? Give your answer in the form 1 : N

Some students drive or get a lift by car to and from college.
Ali wants to encourage students to travel to college by other methods of transport.

He conducts a survey to find out how students travel to college.
This table shows his results:

What fraction of students travel to college by car?
Give your answer in its simplest form.

This is a diagram of a box to be filled with chocolates. The box is a cylinder.

The diameter of the box is 11 cm, and the height is 22 cm.

Calculate the volume of the box.
Use 𝜋 = 3.14

The boxes are filled with chocolates and weighed.
The target weight of each full box is 294 g
A box is automatically rejected if it is less than 98% of the target weight.
Kate looks at the weights of ten boxes of chocolates:

Use this data to estimate the probability that the next two boxes will be rejected.
Show your answer as a percentage.

Kate must check that chocolates are distributed in the boxes in the correct proportions.

There are four types of chocolate: Mint, Caramel, Fudge and Toffee
The types of chocolates are produced in the ratio of 2:3:3:1
She opens a box that contains 27 chocolates in total.
Eight of them are fudge chocolates.
Kate thinks that the box contains the correct number of fudge chocolates.
Is she right?

Kate checks the number of boxes of chocolates produced each hour.
The table shows the number of boxes produced over the last 24 hours:

What is the mode of the number of boxes of chocolates produced per hour?

Kate needs to show how the boxes of chocolates will be packed.
She needs to fit as many boxes of chocolates as possible into the delivery box.

What is the maximum number of boxes of chocolates that can be packed into the delivery box?

It took Kyle 45 minutes to complete the 5 km run.
This time was 5% longer than his previous time.

How long did Kyle take to run his previous 5 km run?
Show your answer to 2 decimal places.

Kyle goes to a circular athletics track for a 15 km training run.
One lap of the track is 320 m
He runs in a clockwise direction, starting at point A.

How far along the track from point A will Kyle be when he has run exactly 15 km?

A different runner starts at point A and stops at point B when he has run exactly 0.8 of a lap.
C marks the centre of the circular track.

Calculate the angle marked x