If you know the final score of a football match, what might the half time score have been?
For example:
Somewhere City 5  3 Fiction FC
Write down all of the possible scores at half time.
Is there a quick way to figure out how many possibilities there are?
Investigate
You can earn a Transum Trophy for the work you do for this investigation. If you can complete the table below then a virtual trophy will be awarded to you.
Try some other activities that apply systematic listing strategies.
Here are some more mathematical ideas with a football theme for you to investigate.
If a team scored 4 goals in a match, what are the possible sequences of scoring times if each goal was scored in a different 15minute interval?
If Player A scored twice as many goals as Player B in a tournament, and together they scored 18 goals, how many goals did each player score?
If a team won a penalty shootout 54, what are the different possible sequences of successes and misses?
Given the probability of scoring a penalty is 75%, what is the probability that a team scores exactly 4 out of 5 penalties?
If the average ticket price for a match is £50 and the stadium capacity is 60,000, calculate the total revenue if the stadium is 80% full.
Compare the revenue generated from ticket sales in two different matches with different attendance rates and ticket prices.
If a player’s average goalscoring rate is 0.5 goals per match, calculate the expected number of goals over a 38match season.
Given a player’s goal conversion rate is 20%, how many shots on target would you expect them to need to score 15 goals?
If a team has 10 matches left and currently has 50 points, explore different scenarios of possible outcomes (win, lose, draw) to predict their final point tally.
Analyse the impact of goal difference on league standings if two teams end the season with the same number of points.
Calculate the total distance travelled by a team if they play away matches in various cities across Europe. Use a map to determine the distances between cities.
If a team needs to travel to 5 different cities for their group stage matches, and they travel by bus at an average speed of 60 mph, estimate the total travel time.
If you have a budget of £100 million to build a fantasy football team, how would you allocate your funds to select 11 players, ensuring you stay within budget constraints?
Create different team compositions and compare their potential points based on past performance statistics.
Given the probabilities of a team winning, drawing, or losing a match are 40%, 30%, and 30% respectively, calculate the probability of the team winning exactly 2 out of their next 3 matches.
Explore the different outcomes of a knockout stage match if each team has an equal probability of winning each match.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much 
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BBC News,
Thursday, July 11, 2024
"Billy Watson, 21, from Kimberley, has combined maths, statistics and psychology to calculate the best place to aim in penalties.
He said "I used a branch of mathematics called game theory to try and understand why penalty takers don't shoot down the middle, even though that is statistically supposedly the best place to put it."
He calculated that players should shoot left 60% of the time and right 40% of the time.
Read the full article here"