Common Skills E

Paper 2

1

Greg has purchased a property in 2009 for £102 000.

The value of the property dropped each year by 8% until 2013.

What was the value of the property in 2013?

3 Marks

2

Solve equation 4x² – 9x – 8 = 0

Give your answers correct to one decimal place.

3 Marks

3

Express

as a fraction in its simplest form

3 Marks

4

The CEO of Hunter Industries receives a pay rise of 80% and is now paid £270 000.

What was he paid before his pay rise?

3 Marks

5

Solve the equation

4 cos x° + 5 = 2; 0° ≤ x° ≤ 360°

2 Marks

6

A slimming group calculate their weight loss (in kg) 

over the course of a 3 months


4 10 12 6 5 8


a Calculate the mean and standard deviation of this data

4 Marks

A second slimming group use a different diet regime.

Their mean is 9kg and the standard deviation is 2·5

b Make two valid comments to compare 

the weight loss of the two groups

2 Marks

7

The cross section of a water pipe is shown

The radius of the pipe is 0·9 m

The depth of water currently in the pipe is 1·5m

Calculate the width ST of the water level

4 Marks

8

These two sculptures are mathematically similar.

The cost of each sculpture is proportional to it’s volume.

Calculate the price of the smaller sculpture

3 Marks

End of Paper