11+ Maths: Challenge and Scholarship Mock [Football-themed]

In the Premier League, a team is awarded three points for a win, one point for a draw and zero points for a defeat. Manchester City achieve seven wins and one draw from their first eleven games. How many points did they gain as a percentage of the maximum possible?

In the Premier League, a team is awarded three points for a win, one point for a draw and zero points for a defeat. Sheffield United lose their first three fixtures. How many points would they need in the next seven games to be on 50% of the maximum possible total after ten games?

In the Premier League, a team is awarded three points for a win, one point for a draw and zero points for a defeat. Arsenal start the season well, winning eight and drawing three of the first eleven matches but then losing four. How many points did they gain as a percentage of the maximum possible across the first fifteen fixtures?

In the Premier League, a team is awarded three points for a win, one point for a draw and zero points for a defeat. With only eight matches left, Brighton find themselves needing at least nine points to avoid relegation. What would nine points constitute as a percentage of the maximum points available?

A season consists of 38 matches. How many matches would a team have to win in order to win more than 40% of the matches that season?

Manchester United have a transfer budget of £120m. After buying a defender for £45m, a midfielder for £35m and a goalkeeper for £15m, what percentage of their remaining budget would they need to spend in order to buy a striker for £20m?

Chelsea spend 75% of their budget on a £36m striker. What was their total budget?

Everton spend their entire budget on five players each costing £22m. Aston Villa have 70% of Everton’s budget. What is Aston Villa’s budget?

All of the teams in the league spent £1.1bn on players last season. This season, they spent 20% less. How much did they spend this season?

Last season, Newcastle spent £6.5m but after being bought by a new billionaire owner, increased their spend by 40% this season. How much did Newcastle spend this season?

27 of Manchester United’s 36 goals last season were penalties. What percentage of their goals were not penalties?

After signing for Newcastle, Joelinton scored twice and assisted three goals. If Joelinton either scored or assisted 12.5% of Newcastle’s total goals, how many goals did Newcastle score in total?

Harry Kane scored all but four of Tottenham’s 50 goals last season. What percentage of Tottenham’s goals did Harry Kane score?

44 goals were scored from corners last season and Burnley scored 33 of these. What percentage of goals scored from corners were goals for Burnley?

QPR expect to concede a goal from 80% of the corners they defend. If QPR face 45 corners, how many of these would they expect to lead to a goal?

Of the last 500 passes attempted by Manchester City, 465 were accurate. What percentage of the total attempted were accurate?

Burnley complete one accurate pass for every seven inaccurate passes. What percentage of Burnley’s passes are accurate?

Sergio Aguero scores 70% of the penalties he attempts while Mo Salah scores 60%. Aguero takes 60 penalties and Salah takes 80. Who scores more and by how many?

England complete 125 passes in the first half of an important match but only 75 in the second half. What percentage of their total completed passes occurred in the first half?

90% of Arsenal’s passes attempted were accurate in their last match. If Arsenal completed 144 accurate passes, how many passes did they attempt in total?

Everton purchase three footballers priced at £3.2m, £5.6m and £4.1m.

How much have Everton spent in total?

Everton purchase three footballers priced at £3.2m, £5.6m and £4.1m.
What is Everton’s mean average spend per footballer?

Everton purchase three footballers priced at £3.2m, £5.6m and £4.1m.
If Everton buy a fourth footballer who changes the mean average spend per footballer to £3.5m, how much did the fourth footballer cost?

Brendan is creating a Fantasy Football team. After completing most of his team, his budget for three strikers is £21m. Harry Kane costs £11.5m, Jamie Vardy costs £8.5m, Tammy Abraham costs £7.2m and Neil Maupay costs £4.3m.

If Brendan tries to choose Harry Kane, Tammy Abraham and Neil Maupay, how far is he over his £21m budget?

Brendan is creating a Fantasy Football team. After completing most of his team, his budget for three strikers is £21m. Harry Kane costs £11.5m, Jamie Vardy costs £8.5m, Tammy Abraham costs £7.2m and Neil Maupay costs £4.3m.

If Brendan chooses Jamie Vardy instead of Harry Kane as well as picking Abraham and Maupay, how much is left in his budget?

Brendan is creating a Fantasy Football team. After completing most of his team, his budget for three strikers is £21m. Harry Kane costs £11.5m, Jamie Vardy costs £8.5m, Tammy Abraham costs £7.2m and Neil Maupay costs £4.3m.

How much more expensive is Harry Kane than double the cost of Neil Maupay?

If the injury time in the first half of a match is 2.5 minutes and injury time in the second half is 3.2 minutes, how many seconds in total are played during injury time?

Newcastle’s budget for the season is £3.7m. How much do they have left after spending £1.2m on a full-back from Preston and £350,000 on Marseille’s reserve goalkeeper.

During Fulham’s last ten matches, Fulham have scored seven goals and conceded 15 goals. How many goals are there in Fulham’s matches, on (mean) average?

In Brighton’s last five matches, they have scored eleven goals. If in the first match, Brighton did not score, how many goals have they scored on average per match since then?

Joe Hart saves one shot for every 1.2 shots he does not save. If he saves five shots in a match, how many shots did he not save?

Southampton’s fans are excited for a long trip to see their team in Manchester, 280km away. The coach leaves at 8:00am and travels at a constant speed of 80km/hour without stopping.

At what time does the coach arrive in Manchester?

On the way home, the coach leaves at 5:00pm travelling at 70km/hour but also the driver chooses to stop to rest for 45 minutes. How long does the journey home take?

Liverpool are considering purchasing a player from an Italian team. There is an exchange rate of £1:€1.20.

How many Euros would Liverpool need if the player is worth £35m?

Liverpool are considering purchasing a player from an Italian team. There is an exchange rate of £1:€1.20

How many pounds would Liverpool need to exchange if the player is worth €28.8m?

Charlton buy two new players for £0.25m and £75,000. How much have they spent in total?

Leicester purchase three footballers priced at £6.8m, £4.9m and £3.9m.

How much have Leicester spent in total?

Leicester purchase three footballers priced at £6.8m, £4.9m and £3.9m.

What is Leicester’s mean average spend per footballer?

Leicester purchase three footballers priced at £6.8m, £4.9m and £3.9m.

How much more would Leicester have to spend in order to raise the total to £20m?

If £1 is worth €1.20 and €1 is worth $1.10:

How much does it cost to sponsor Paul Pogba for one season in dollars if it costs £500,000?

If £1 is worth €1.20 and €1 is worth $1.10:
If it costs £30,000 to sponsor Pogba for one match, how much does it cost in dollars to sponsor him for five matches?

If £1 is worth €1.20 and €1 is worth $1.10:
If it costs $99,000 to sponsor Pogba for three matches, how much does it cost in pounds to sponsor him for one match?

A football pitch measures 90m length x 60m width. Included within this are two rectangular penalty boxes, each measuring 18m in length x 40m width.

What is the area of the football pitch?

A football pitch measures 90m length x 60m width. Included within this are two rectangular penalty boxes, each measuring 18m in length x 40m width.

What is the area of the football pitch excluding the penalty boxes?

How long is the perimeter of one penalty box?

What is the distance in a straight line between the two penalty boxes?

If a football pitch measures 120m x 90m, how far is five laps of the pitch?

A football pitch measures 100m x 80m. At the end of a match, N’Golo Kante has run 10.8km. This distance is equivalent to how many laps of the pitch?

A football pitch’s centre circle has a diameter of 20m.
What is the radius of the centre circle?

A football pitch’s centre circle has a diameter of 20m.

What is the area of the centre circle (assuming π =3)?

When Gareth Bale was transferred to Real Madrid, they agreed to pay half of his £110m transfer fee immediately and to pay the balance in four equal instalments. How much was each of these instalments worth?

When David Beckham was transferred to Real Madrid, his shirt number was a prime number higher than 20 but less than 1/8 of 200. What was his shirt number?

In a team of eleven players numbered 1-11, how many shirts are neither square or cube numbers?

When Australia broke the world record for most number of goals scored in a match, they scored a number which is also the lowest common multiple of 12 and 18. How many times did Australia score?

Jimmy wants to buy a Tottenham season ticket costing £400 using money from his weekly paper round. He is paid £15 per round plus 20p per house. There are 30 houses on his round.

How much does Jimmy earn each week?

Jimmy wants to buy a Tottenham season ticket costing £400 using money from his weekly paper round. He is paid £15 per round plus 20p per house. There are 30 houses on his round.

How many full rounds will it take Jimmy to earn at least as much as the season ticket costs?

Nottingham Forest own five goalkeepers, twelve defenders, fifteen midfielders and six strikers.

What is the ratio of their number of midfielders to number of defenders in its simplest form?

Nottingham Forest own five goalkeepers, twelve defenders, fifteen midfielders and six strikers.

The club decides that more strikers and goalkeepers are needed and buys 2.5 strikers for every goalkeeper. How many strikers will the team now have in total if eight more goalkeepers are purchased?

A footballer is transferred for £60m and plays 25 matches. He then gets injured and never plays again. How much did the club pay per appearance?

80,000 people can watch a match at Manchester United’s stadium. At Barnet’s stadium, 1/16 as many can watch. How many people can watch Barnet?

In a 90 minute football match, how many seconds have passed after a quarter of the match?

The probability of Dele Alli scoring a goal today is 0.4 and the probability of Danny Rose scoring is 0.1.

Calculate the probability of both scoring.

The probability of Dele Alli scoring a goal today is 0.4 and the probability of Danny Rose scoring is 0.1. Calculate:
The probability of Dele Alli scoring but not Danny Rose.

The probability of Dele Alli scoring a goal today is 0.4 and the probability of Danny Rose scoring is 0.1. Calculate the probability of neither player scoring.

When Arsenal play against Sheffield United, there’s a 3 in 5 chance of Arsenal winning the match while a draw is as likely to happen as a Sheffield United win. If Arsenal play Sheffield United three times, calculate as fraction in its simplest form the likelihood of:

Three Arsenal victories

When Arsenal play against Sheffield United, there’s a 3 in 5 chance of Arsenal winning the match while a draw is as likely to happen as a Sheffield United win. If Arsenal play Sheffield United three times, calculate as fraction in its simplest form the likelihood of:

A draw followed by an Arsenal victory followed by another draw.

When Arsenal play against Sheffield United, there’s a 3 in 5 chance of Arsenal winning the match while a draw is as likely to happen as a Sheffield United win. If Arsenal play Sheffield United three times, calculate the likelihood of:

A draw in the first match.

In a World Cup semi-final, England face Germany and the match goes to penalty shootout with each team due to take five penalties, alternating with Germany due to take the first kick. Germany have a 9/10 chance of scoring a penalty while England have a 4/5 chance. Calculate as a percentage the likelihood of:

Both teams to score their first penalty.

In a World Cup semi-final, England face Germany and the match goes to penalty shootout with each team due to take five penalties, alternating with Germany due to take the first kick. Germany have a 9/10 chance of scoring a penalty while England have a 4/5 chance. Calculate as a percentage the likelihood of:

Both teams to miss their first penalty.

In a World Cup semi-final, England face Germany and the match goes to penalty shootout with each team due to take five penalties, alternating with Germany due to take the first kick. Germany have a 9/10 chance of scoring a penalty while England have a 4/5 chance. Calculate as a percentage the likelihood of:

England to miss their last penalty.

After five matches this season, Leeds have completed the following number of passes; 123, 145, 222, 213, 197. Calculate:

The mean number of passes Leeds complete.

After five matches this season, Leeds have completed the following number of passes; 123, 145, 222, 213, 197. Calculate:

The median number of passes Leeds complete.

After five matches this season, Leeds have completed the following number of passes; 123, 145, 222, 213, 197. Calculate:

The range of passes completed across the five fixtures.

Anthony Martial receives £80,000 per match plus a £10,000 bonus for each goal but is fined £5000 for every yellow card.

How much more does Martial earn when he scores three times and receives no cards compared to a match when he does not score and receives a yellow card?

Anthony Martial receives £80,000 per match plus a £10,000 bonus for each goal but is fined £5000 for every yellow card.

If Martial plays five matches and scores three goals while accumulating four yellow cards, what is his mean average earnings per match?

Anthony Martial receives £80,000 per match plus a £10,000 bonus for each goal but is fined £5000 for every yellow card.

If over the course of the season Martial scores 19 goals but receives 13 yellow cards, how much more does he earn from bonuses than he loses in fines?

In a Premier League season, 20 teams play each other twice (380 matches in total). Teams receive three points for a win, zero points for a loss and one point for a draw.

If 5 in every 19 matches is drawn, how many matches by the end of the season result in a team winning?

In a Premier League season, 20 teams play each other twice (380 matches in total). Teams receive three points for a win, zero points for a loss and one point for a draw.

If 80 matches finish as a draw, what fraction of the matches were won by a team?

In a Premier League season, 20 teams play each other twice (380 matches in total). Teams receive three points for a win, zero points for a loss and one point for a draw.

If Manchester City finish the season with 19 wins, eight draws and eleven defeats, how many points do they accumulate?

In a Premier League season, 20 teams play each other twice (380 matches in total). Teams receive three points for a win, zero points for a loss and one point for a draw.

If the team finishing second achieves 94 points, how many matches would a team need to win the league if they do not draw any matches?

If a team finished on 68 points after 38 matches and drew eleven of these, how many did the team lose?

If a team wins its first match then loses then draws and repeats this sequence throughout the season, how many points will the team have after 27 matches?

Express the following statistics as a goals per game ratio in the simplest possible form (e.g. 10 goals in 20 games = 1:2):

12 goals in 40 games.

Express the following statistics as a goals per game ratio in the simplest possible form (e.g. 10 goals in 20 games = 1:2):

15 goals in 21 games.

Express the following statistics as a goals per game ratio in the simplest possible form (e.g. 10 goals in 20 games = 1:2):

7 goals in 3 games.

Express the following statistics as a goals per game ratio in the simplest possible form (e.g. 10 goals in 20 games = 1:2)

72 goals in 180 games.

A ball is passed forwards 18 metres by Player A to Player B and then a second pass is played 24 metres to the right by Player B to Player C. How far has the ball travelled?

In 2020, how many years has it been since the FA cup final was first played in 1872.

Express the following statistics as a goals per game percentage (e.g. 50 goals in 100 games = 50%):

4 goals in 32 games.

Express the following statistics as a goals per game percentage (e.g. 50 goals in 100 games = 50%):

24 goals in 16 games.

Express the following statistics as a goals per game percentage (e.g. 50 goals in 100 games = 50%):

16 goals in 12 games.

Express the following statistics as a goals per game percentage (e.g. 50 goals in 100 games = 50%):

34 goals in 136 games.

If Japan is eight hours ahead of the UK, at what time would UK viewers have watched a match at the 2002 World Cup from Tokyo starting at 4pm local time?

Japan is eight hours ahead of the UK

After losing to Brazil, the England team boards a flight home from Tokyo at 11pm Japanese time. The flight lasts 11 ½ hours. What time is it in the UK when the team arrives back in England?

Manchester United sell a reserve player to Everton for £30m and his value declines by 20% every year. What is his value after two years?

Manchester United sell a reserve player to Everton for £30m and his value declines by 20% every year. After how many years is his value below 1/3 of his original price?

West Ham’s first five results of the season are as follows:

Home Team Away Team
West Ham 1-4 Crystal Palace
Burnley 1-0 West Ham
Everton 5-3 West Ham
West Ham 2-1 Chelsea
Newcastle 0-0 West Ham

What is West Ham’s goal difference (their sum of goals scored minus sum of goals conceded)?

West Ham’s first five results of the season are as follows:

Home Team Away Team
West Ham 1-4 Crystal Palace
Burnley 1-0 West Ham
Everton 5-3 West Ham
West Ham 2-1 Chelsea
Newcastle 0-0 West Ham

How many goals do West Ham score per game, as a mean average?

est Ham’s first five results of the season are as follows:

Home Team Away Team
West Ham 1-4 Crystal Palace
Burnley 1-0 West Ham
Everton 5-3 West Ham
West Ham 2-1 Chelsea
Newcastle 0-0 West Ham

What is the modal average for goals scored against West Ham?