NCFE Maths Level 2 October 2019 Section B

Another method aid organisations use is to calculate Body Mass Index (BMI).
To find the BMI:
Step 1: calculate height × height
Step 2: divide weight by your answer to Step 1
Height must be in metres and weight in kilograms.
Calculate the BMI for a person who has:
• weight 64 kg
• height 1.60 m

Tom is studying science at college.
He is learning about ice.
Tom does an experiment.
He shows that the ratio of an ice cube’s surface area to its volume affects the time it takes for the ice cube to melt.
This scatter diagram shows his results:

Tom has another ice cube.
Each side is 2.5 cm long.
Estimate how long this ice cube will take to melt.

The triangular faces of each prism have base 3 cm and height 2.6 cm

Tom fills the hexagonal mould with water to a depth of 3.5 cm
Tom knows that:
• to calculate the volume of each triangular prism, he can use the formula  Volume = area of triangular face × depth of prism
• when a volume of water freezes, the ice that is formed has a volume 4% more than the volume of the water.

What will be the total volume of ice formed when all the water in the hexagonal mould freezes?

Icebergs are large lumps of ice that float in the sea.
Tom reads that the icebergs float because the density of ice is less than the density of seawater.
The density of ice is 0.92 g per ml and the density of the sea is 1.03 g per ml

Calculate 0.92 as a percentage of 1.03

Give your answer as a percentage to the nearest whole number

Tom reads that scientists are planning to move an iceberg across the sea to provide water to a very dry country.

The iceberg weighs 40 million tonnes.

Write 40 million using numbers.

The iceberg will melt as it travels.
By the time it arrives, the iceberg will weigh only 25 million tonnes.
By what fraction will the original iceberg have reduced in weight by the time it arrives?

Give your answer in its simplest form.

Faisal starts a new job.
He will work 37 hours a week for 48 weeks a year and is paid £8.25 an hour.
He must pay:
• 0% income tax on the first £12 500 he earns each year
• 20% income tax on anything over £12 500 that he earns.
His income tax payments are spread evenly over the 48 weeks.
Faisal’s first weekly wage slip shows that he has paid £8.96 income tax.
He thinks he has paid more than he should.

Is he correct?

Sonya reads an article about the 5 : 3 : 2 rule.
The rule says you should spend your wages after tax in the ratio 5 : 3 : 2 on
needs : wants : savings
• needs are bills like rent that must be paid
• wants are extra things like social life and new clothes which are not needed
• savings are amounts of money kept for the future.

Sonya earns £480 a week after tax.
Last week she spent £185 on going out with friends.

Was this in line with the 5 : 3 : 2 rule?

Dec needs to pay £908.64 each month for his mortgage and other bills.
This is 45% of his monthly income.
What is Dec’s monthly income?

Give your answer to the nearest ten pounds.

Dave is a salesman.
He is paid a basic salary plus a bonus based on the sales he makes.
Last year Dave’s bonus was ³/₈ of his salary.
Write ³/₈ as a decimal and as a percentage.