Wednesday 25 January 2012

Functional Maths and Football

Due to the stunning disorganisation within the "Gas Board" the school is closed, to pupils, again on Thursday 26th January. So, here are some questions to keep everyone busy.

1.   The table shows the results of football matches played by five international football teams in the last four years.

Won
Drawn
Lost
Germany
31
8
11
Italy
36
5
9
England
28
14
8
Brazil
42
3
5
Nigeria
11
10
29


(a)   Which team won the most matches? 
(b)   How many more matches did Brazil win than Italy?
(c)   Which team drew more matches than they lost?

2.    Here are the ages of the eleven players in the French football team picked to play the first match in a cup competition:

            22        25        36        31        21        33        22        22        27        28        30

Work out

(a)   the modal age of the players  
(b)   the median age of the players 
(c)    the mean age of the players
(d)    the range of ages

The player aged 36 retires and is replaced by a new player for the second match in the competition.

(e)   If the median age of the team does not change, what is the youngest    age the new player could be?

3.     The referee selects a football at random from a box of red and white footballs:
(a)    What is the probability of picking a red football from the box?
(b)     How many white footballs would the referee need to add to the box so  that it is equally likely that he selects a red or white football?
The director of the competition has bought 420 footballs for the competition.
He tests 20 of the footballs and finds 2 to be faulty.
(c)     What is the theoretical probability that any football is faulty?
(d)     How many faulty footballs would be expected altogether?
4.     The ground-person has measured the temperature throughout the first  day of the competition. She measured the temperature in °C each hour   and plotted the results in a line graph.
(a)       What is the temperature at 15:00?
(b)       Work out the range of temperatures during the day 
(c)        Write a sentence to describe how the temperature changes throughout the day.

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