Uncover the Numbers Behind Sports
The place to be at while talking about the math used in sports.
Uncover the Numbers Behind Sports
The place to be at while talking about the math used in sports.
The place to be at while talking about the math used in sports.
The place to be at while talking about the math used in sports.
Our goal is to use popular sports to spark joy and excitement in math. From monthly blog posts to fun, real-life sports-inspired math problems, and current events about game theory, team statiscs, and player performance metrics, we hope to inspire teengers with the many applications of mathematics.
1. In a table tennis tournament every participant played every other participant exactly once. Although there were twice as many right-handed players as left-handed players, the number of games won by left-handed players was 40% more than the number of games won by right-handed players. (There were no ties and no ambidextrous players.) W
1. In a table tennis tournament every participant played every other participant exactly once. Although there were twice as many right-handed players as left-handed players, the number of games won by left-handed players was 40% more than the number of games won by right-handed players. (There were no ties and no ambidextrous players.) What is the total number of games played?
a. 15
b. 36
c. 45
d. 48
e. 66
2. Five friends sat in a movie theater in a row containing 5 seats, numbered 1 to 5 from left to right. (The directions "left" and "right" are from the point of view of the people as they sit in the seats.) During the movie Ada went to the lobby to get some popcorn. When she returned, she found that Bea had moved two seats to the right,
2. Five friends sat in a movie theater in a row containing 5 seats, numbered 1 to 5 from left to right. (The directions "left" and "right" are from the point of view of the people as they sit in the seats.) During the movie Ada went to the lobby to get some popcorn. When she returned, she found that Bea had moved two seats to the right, Ceci had moved one seat to the left, and Dee and Edie had switched seats, leaving an end seat for Ada. In which seat had Ada been sitting before she got up?
a. 1
b. 2
c. 3
d. 4
e. 5
3. Forty slips of paper numbered 1 to 40 are placed in a hat. Alice and Bob each draw one number from the hat without replacement, keeping their numbers hidden from each other. Alice says, "I can't tell who has the larger number." Then Bob says, "I know who has the larger number." Alice says, "You do? Is your number prime?" Bob replies,
3. Forty slips of paper numbered 1 to 40 are placed in a hat. Alice and Bob each draw one number from the hat without replacement, keeping their numbers hidden from each other. Alice says, "I can't tell who has the larger number." Then Bob says, "I know who has the larger number." Alice says, "You do? Is your number prime?" Bob replies, "Yes." Alice says, "In that case, if I multiply your number by 100 and add my number, the result is a perfect square. " What is the sum of the two numbers drawn from the hat?
a. 27
b. 37
c. 47
d. 57
e. 67
Prediction: Kansas City Chiefs
Reasonings: Very consistent with strong quarterback and good coaching
Outcome:
Prediction: Argentina
Reasoning: 2022 champions with strong core and leadership of Messi
Outcome:
Prediction: Denver Nuggets
Reasonings: Nikola Jokic at his best and strong supporting players
Outcome:
Prediction: Atlanta Braves
Reasonings: Strong young players with good pitching and good consistency
Outcome:
Rohail is a passionate mathematics student, data scientist, and researcher specializing in saber metrics. He is an avid baseball player and chesss competitor who looks forward to building students' love of sports analysis while building their understanding of math. Rohail attends Stuyvesant High School in New York City and is a student of the Courant Institute.
Sia is a high school sophomore from Bridgewater, New Jersey. She is a talented classical pianist who has been playing for eight years and was invited to travel to Chioggia, Italy to participate in an international music festival. Sia is also an advanced math student and researcher as well as a devoted lacrosse player who loves to watch co
Sia is a high school sophomore from Bridgewater, New Jersey. She is a talented classical pianist who has been playing for eight years and was invited to travel to Chioggia, Italy to participate in an international music festival. Sia is also an advanced math student and researcher as well as a devoted lacrosse player who loves to watch collegiate and professional level sports. Outside of school, Sia also enjoys baking, volunteering for her town’s youth lacrosse program, and immersing herself in the world of stocks and investing.
My name is Jyotish Jotwani. I am a freshman at Bergen Catholic Highschool in Oradell. I live in Cresskill, NJ. I have played many sports throughout my life such as basketball, football, baseball,and tennis. I currently play golf and I enjoy looking and learning about sports stats and how they affect each and every game
Amer is a freshman at The Avenues School in New York City, he is an advanced math student with a penchant for studying social enterprise and business. He is also a JV basketball player at his high school. A sports-math researcher, Amer also enjoys investing and studying finance.
Jay is a ninth grader at Pingry High School and an advanced math and economics student. A varsity fencer and cross country athlete, Jay is fascinated by the way math and sports intersect.
We know that the total amount of games must be the sum of games won by left and right handed players. Then, we can write g = L +r, and since L=1.4r, g=2.4r. Given that r and g are both integers, g/2.4 also must be an integer. From here we can see that g must be divisible by 12, leaving only answers B and D. Now we know the formula for ho
We know that the total amount of games must be the sum of games won by left and right handed players. Then, we can write g = L +r, and since L=1.4r, g=2.4r. Given that r and g are both integers, g/2.4 also must be an integer. From here we can see that g must be divisible by 12, leaving only answers B and D. Now we know the formula for how many games are played in this tournament is n(n-1)/2, the sum of the first n-1 triangular numbers. Now, setting 36 and 48 equal to the equation will show that two consecutive numbers must have a product of 72 or 96. Clearly, 72=8x9, so the answer is B:36.
Assume that Edie and Dee were originally in seats 3 and 4. If this were so, there is no possible position for which Bea can move 2 seats to the right. The same applies for seats 2 and 3. This means that either Edie or Dee was originally in an edge seat. If Edie and Dee were in seats 1 and 2, then Bea must have been in seat 3, which would
Assume that Edie and Dee were originally in seats 3 and 4. If this were so, there is no possible position for which Bea can move 2 seats to the right. The same applies for seats 2 and 3. This means that either Edie or Dee was originally in an edge seat. If Edie and Dee were in seats 1 and 2, then Bea must have been in seat 3, which would mean that seat 5 would now be occupied and the positioning would not work. So, Edie and Dee are in seats 4 and 5. This means that Bea was originally in seat 1. Ceci must have been in seat 3 to keep seat 1 open, which leaves seat 2.
Let Alice have the number A, Bob B. When Alice says that she can't tell who has the larger number, it means that A cannot equal 1. Therefore, it makes sense that Bob has 2 because he now knows that Alice has the larger number. 2 is also prime. The last statement means that 200+A is a perfect square. The three squares in the range 200-300
Let Alice have the number A, Bob B. When Alice says that she can't tell who has the larger number, it means that A cannot equal 1. Therefore, it makes sense that Bob has 2 because he now knows that Alice has the larger number. 2 is also prime. The last statement means that 200+A is a perfect square. The three squares in the range 200-300 are 225, 256, and 289. So, A could equal 25, 56, or 89, so A+B is 27, 58, or 91, of only A is an answer choice.
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