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.

Functional Maths

Our school is closed on Wednesday 25th January due to work on the gas main. So as pupils don't miss out on vital learning here is a functional maths question to keep you occupied.

Mr Walker receives his gas bill every three months.

He pays £45 to the gas company every month.

The first 350 units of gas on each bill cost 7.2p per unit.

The rest of the units cost 4p.

Mr Walker gets a rebate of £41.64 for money he has overpaid in the last 3 months.

How many units of gas has Mr Walker used in the last three months?

Remember you need to show each step of your working and show all the sums that you have carried out.

Challenge

In order to install the new gas main a considerable amount of digging will need to take place. Can you come up with a solution to the following problem?

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Chris can dig the same hole in six hours. How long would it take them if they worked together? Give your answer in both hours (2 decimal places) and hours and minutes.

Properties of Polygons

There are two new "Homework" tasks set up on MyMaths. You need to complete these to the normal standard i.e. keep doing them until you get a Green Smiley Face.

If you struggle you will need to do the associated lesson.

Your individual MyMaths passwords are on the DLG.