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Fundamental Friday Worksheet 12

Q1) Use the fact that to work out the following.

a) b)

c) d)

Q2) Expand the following and simplify fully if appropriate.

a) ( ) b) ( ) c) ( )

Q3) Factorise fully the following.

a) b) c)

Q4) Write the following numbers in standard form.

a) b) c)

Fundamental Friday Worksheets are suitable for students of all abilities. For those students

who are striving for a C, these are some of the key topics you will need to understand. For

students aiming for the top grades, these are topics you must not drop any marks on.

When you are ready for the answers click here or use

the QR code.

http://goo.gl/ofnU5t

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Q5) The table gives information about the ages of 160 employees of an IT

company.

Age (A) in

years Frequency

44

56

34

19

7

a) Write down the modal class interval.

b) Complete the cumulative frequency table.

Age (A) in

years

Cumulative

Frequency

c) On the grid on the next page, draw a cumulative frequency graph for

your table.

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d) Use your graph to find an estimate for

(i) the median age of the employees

(i) the interquartile range of the ages of the employees.

Another IT company has 80 employees.

The age of the youngest employee is 24 years.

The age of the oldest employee is 54 years.

The median age is 38 years.

The lower quartile age is 30 years.

The upper quartile age is 44 years.

e) On the grid below, draw a box plot to show information about the

ages of the employees.

10 20 30 40 50 60 70

20

40

60

80

100

120

140

160

180

Age (years)

Cumulative Frequency

0 10 20 30 40 50 60 70

Age ( ) in yearsA

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Q6) The equation has a solution between 2 and 3.

Find the solution to one decimal place.