Matches Cat. 1 Cat. 2 Cat. 3 Wheelchair Cat. 1 Cat. 2 Cat. 3 Cat.
Opening match (No.
Group matches (No.
Round of 16 (No.
Semi-finals (No. 61 & 62) 600 400 250 100 4 200 2 800 (b) 700 700 3rd/4th place match (No.
The final (No.
*Cat. 4 is reserved for South African residents and will be sold exclusively in ZAR.
How many US$ does a Cat. 1 ticket for the opening match cost (2?
How many ZAR does a Cat. 3 ticket for a quarter final match cost (2?
Which is the most expensive ticket and how much does it cost (in US$) (3?
Which is the least expensive ticket that a South African can buy and how much does it cost (in ZAR) (3?
2008 to December 2009 (source: www.x-rates.com) is represented by the graph below.
What was the average ZAR to 1 US$ exchange rate for April 2009 (2?
In which month was the average ZAR to 1 US$ exchange rate lowest (2?
In which month was the average ZAR to 1 US$ exchange rate highest (2?
What is the rand to US$ exchange rate that has been used by FIFA in developing the ticket cost table at the start of the question Show how you determined your answer. (4?
Use the exchange rate that you have determined in 1.2.4 to calculate the values of (a) and (b) in the table.
2009 and the exchange rate used by FIFA in determining the ticket prices, discuss whether or not South Africans have been advantaged or disadvantaged. Remember to justify your answer as fully as possible.
One of the challenges of planning for the World Cup is estimating the number of spectators that will attend the tournament.
The graph below shows the actual number of tickets sold (attendance) for each of the World Cup tournaments since the 1930 tournament in Uruguay.
The graph also shows the number of matches that were played in each tournament.
Which country hosted the tournament in 1982 (2?
How many matches were there in the 1962 tournament in Chile (2?
at the World Cup Explain how you have determined your answer. (4?
Describe what has happened to the number of matches in each tournament over the history of the tournament.
Discuss the trend in average match attendance.
Estimating the actual number of tickets to be sold per tournament as well as the number of tickets to be sold per match is important for planning purposes.
Discuss the importance of each of these figures by suggesting different people who would be interested in each of the different values.
Abadom, a Nigerian fan, is planning to follow his team through the group matches. Nigeria has been drawn in Group B. The table below gives the match fixtures for Group B.
In which city does Nigeria play its first match (2?
On what date and at what time does Nigeria play its second match (2?
Who is Nigeria's opponent in the third match (2?
On what day of the week does Nigeria play against Greece 3.1.5 Make a list of the cities that Abadom must travel to and the order in which he must visit them in order to follow his team. Abadom has decided to travel from one city to the next by train. He has the following information about the trains that he might use. (2) (4?
NOTES: The left-hand column shows the departure times from each station on the journey described in the title (e.g. Johannesburg - East London). This must Å¸ be read from top to bottom. The right-hand column shows the departure times from each station on the opposite journey (i.e. East London to Johannesburg for the Johannesburg Å¸ - East London route). This column must be read from the bottom up. The last (highlighted) time in each column is the arrival time at the final destination.
On what day of the week does the train leave Cape Town (2?
At what time of day does the train leave Cape Town (2?
At what time and on what day of the week does the train reach Durban (2?
Abadom cannot leave a town until well after the match is over.
Abadom must arrive in each town with time to spare before the match starts.
£ Dates and times of arrival in each city.
In order to host the FIFA world cup a host nation needs to have or must build appropriate stadiums. FIFA provides very clear guidelines regarding the dimensions and design of such stadiums. The diagram above comes from the FIFA guidelines for stadium design. The diagram shows both the ideal distance for spectators from the centre of the field and the maximum distance that any spectator should sit from the furthest corner of the field.
What, according to FIFA, is the optimal distance for a spectator to sit from the centre point of the field (2?
What, according to FIFA, is the maximum distance that a spectator should sit from the furthest corner of the field (2?
4.2 The diagram above has been drawn according to scale. Using your ruler and the dimensions provided on the diagram estimate, to the nearest 10 m, the distance that a spectator at point A will sit from the scoreboard on the opposite side of the field.
4.3 FIFA has developed the diagram and formula above to help tournament hosts with the development of scoreboards. Assume that in a particular stadium the maximum distance of a spectator from the scoreboard is 220 m. Use the formula provided by FIFA to calculate the minimum dimensions of: It is human nature to want to make predictions, and it is no less so with the 2010 World Cup. Long before the tournament even started, people already predicted who will win. That is not to say that everybody agreed.
H in metres.
The scoreboard in metres.
One place in which these predictions manifest themselves is in sports betting. Bookmakers offer odds on each of the different teams winning the tournament. People (punters) place bets with the bookmakers and, if they are correct, then they get paid out according to the odds of the bet. If they are wrong they lose their bet.
For example, a bookmaker offers odds of 15-1 (we say: "fifteen to one") on a particular team winning. A punter places a R5 bet on that team. The team wins. The punter will be paid out R5 Ã 15 = R75 plus the R5 bet that he/she placed: total payout = R5 + R75 = R80.
What odds does the bookmaker offer for Ghana winning (2?
What odds does the bookmaker offer for Uruguay winning (2?
5.2 Consider the Netherlands. The odds the bookmaker offers for the Netherlands winning are 12-1.
What would be the total payout for a bet of R25 if the Netherlands won the tournament (6?
What amount would a person have bet if the Netherlands won and they were paid out a total of R2 080 for their bet on the team (6?
Which team is least likely to win the tournament Justify your answer. (3?
Which team is most likely to win the tournament Justify your answer (3?
What chance does the bookmaker give South Africa of winning the tournament Explain your answer. (3?