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Sports Problems

To find relevant sites on the Web, search our Internet Mathematics Library for the word sports.

Elementary

Across the Netherlands - Maggie Hos-McGrane
Math Fundamentals, difficulty level 5. Help sort out this bike trip through the Netherlands (requires a bit of map reading). Initially a two-week ... more>>

Across Wisconsin - Jo Wenzler
Math Fundamentals, difficulty level 2. Determine how long it will take this athletic math teacher to bike across Wisconsin (requires a little map ... more>>

Frugal Freeda - Lisa Lavelle
Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best ... more>>

Golf Anyone? - Phil Marchal
Math Fundamentals, difficulty level 3. Kyle needs some help in figuring out how many buckets of golf balls were hit at the Hook and Slice Driving ... more>>

Jumping Rope - Leon Roland & class
Math Fundamentals, difficulty level 2. Just how long was the rope with which we ... more>>

March Madness! - Teaching the Young Learner Class
Math Fundamentals, difficulty level 3. Given four clues, figure out which pair of friends won a basketball ... more>>

Mr. W. Goes Across Australia - Lisa Lavelle
Math Fundamentals, difficulty level 5. Help Mr. W figure out when he needs to start his trip in order to meet Mrs. W on time (requires a bit of map ... more>>

The Olympic Distance - Shrawan Khanna & Class
Elementary, difficulty level 4. Determine how many kilometres the Russian Olympic team members will travel in attending the 2002 Winter ... more>>

What Was That Score? - Lisa Lavelle
Math Fundamentals, difficulty level 2. Determine the football (not soccer!) ... more>>

Middle School

Baseball Attendance Figures - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the difference between the greatest possible number of people at the stadium and the least possible number of ... more>>

Baseball Trivia - Judy Ann Brown
Math Fundamentals, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a mile? ... more>>

Batter Up! - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use statistics to help Lee convince his manager to give him a ... more>>

Canadian Soccer - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps. ... more>>

Chamique the Archer - Mr. Marthinsen's Geometry Class
Pre-Algebra, difficulty level 3. Chamique wants to know the probability of hitting a bull's-eye with a randomly shot arrow. ... more>>

Citius, Altius, Fortius - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Would record-holding speed skaters and runners break the speed limit in a residential ... more>>

Football Figures - Judy Ann Brown
Middle School, difficulty level 2. This year we have already won as many games as we lost last year. How many games will the team play this year? ... more>>

Golfing Luck? - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Work with probability on the practice hole of the golf ... more>>

Homerun Percentages - Judy Ann Brown
Pre-Algebra, difficulty level 3. Baseball box scores give us a chance to practice percent ... more>>

I Get A Kick Out Of Soccer! - Judy Ann Brown
Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile? ... more>>

Inching Along Down the Football Field - Terrel Trotter
Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard field. He then moved it forward half the field ... more>>

Olympic Temperature - Judy Ann Brown
Pre-Algebra, difficulty level 3. Compare the difference in temperatures between Sydney, Australia at 14 degrees Celsius and Swarthmore, Pennsylvania, ... more>>

Saturday Bike Ride - Judy Ann Brown
Pre-Algebra, difficulty level 2. Now that spring has arrived, Ali and Maya decide to dust off their bikes and go for a Saturday ride. Help find what ... more>>

Sequence of Exercise - Judy Ann Brown
Middle School, difficulty level 2. Each day Chris and Jody jog three blocks farther than they did the day before. How many days have Chris and Jody ... more>>

Super Bowl XXXIII - Judy Ann Brown
Pre-Algebra, difficulty level 2. Based on the winners and points scored during the past 15 Super Bowl games, which team should win Super Bowl XXXIII? ... more>>

Super Bowl XXXII - Judy Ann Brown
Middle School, difficulty level 2. The Super Bowl committee has decided to create a plaque to hang in the NFL Hall of Fame. Your job is to determine ... more>>

Algebra

'Ace' Trotter - Terry Trotter
Algebra, difficulty level 1. A problem from the sports world regarding free-throw ... more>>

Adrienne's Axel - Leslie Hogben
Algebra, difficulty level 2. Adrienne, an algebraically inclined figure skater, figures an interesting problem for us. ... more>>

At Least This Many - Terry Trotter
Algebra, difficulty level 2. Using two data points from the NBA statistics chart, form an equation (y = mx + b style), then use it to predict other ... more>>

Dot.com Derby - Terry Trotter
Algebra, difficulty level 2. Three "dots" run a race around a circular track in an unusual manner. You must determine the winners in two ... more>>

Going for the Gold - Terry Trotter
Algebra, difficulty level 4. Find the number of points that are awarded for each gold, silver, and bronze medal in an athletic competition. ... more>>

Homer Jones - Terry Trotter
Algebra, difficulty level 3. Find the area of a certain triangle laid out on a baseball ... more>>

Jack and Jill Go Jogging - Terry Trotter
Algebra, difficulty level 2. Two famous Mother Goose characters take up aerobics, running at some numerical speeds while exercising. How fast can ... more>>

Lucie and Daryl's Bike Ride - Terry Trotter
Algebra, difficulty level 2. A sister and brother who ride bikes provide us with a math challenge concerning distance, rate, and time. ... more>>

Motorcycle Daredevil - Terry Trotter
Algebra, difficulty level 4. A motorcycle stunt person needs some math equation work to calculate her most daring feat: jumping between ramps at high ... more>>

Tennis Anyone? - Ethel Breuche
Algebra, difficulty level 1. Use algebra, inequalities, and ratios to find the greatest number of matches a player could have won before the weekend ... more>>

Touchdown Toddlers - Terry Trotter
Algebra, difficulty level 2. Two little boys run an unusual race on a professional football field, and everybody comes out a ... more>>

What's the Score? - Terry Trotter
Algebra, difficulty level 2. Find the final score of the football game between the Falcons and the ... more>>

Geometry

Aim at This Target! - Annie Fetter
Geometry, difficulty level 4. Figure out the areas of different parts of this target, and the relation between the different areas. Can you explain ... more>>

Areas of Circles in a Target - Annie Fetter
Geometry, difficulty level 2. Given one circle inside another circle. If the outer circle is 36 inches in diameter, how big must the inner circle be ... more>>

Calculating String Length - Annie Fetter
Geometry, difficulty level 2. Given the archery targets of two competitors, figure out which one has the shortest 'string length'. ... more>>

The Corner Banking of the Daytona Speedway - Annie Fetter
Geometry, difficulty level 2. Compare the corner banking at the Daytona Speedway, which is 31 degrees, with the roof on the house and garage that I ... more>>

Drawing a Kite Plan - Annie Fetter
Geometry, difficulty level 3. Given a picture of a kite plan, figure out the radius of the circle that creates the curved section. ... more>>

Olympic Softball - Annie Fetter
Geometry, difficulty level 2. Should the pitcher's rubber in Olympic softball be behind the line drawn from third base to first base, or in front of ... more>>

Olympic Target Shooting - Annie Fetter
Geometry, difficulty level 2. Given that a shooter is equally likely to hit any point on a 10-inch target, what are the odds that his shot will be in ... more>>

Patterning a Shotgun - Annie Fetter
Geometry, difficulty level 2. Construct a circular target with nine regions of equal area, with one a circle in the middle and spokes going out to ... more>>

Play Ball! - Annie Fetter
Geometry, difficulty level 2. Figure out how to scale down parts of a basketball court so that it's "woman sized," assuming that the average men's ... more>>

Replacing the Football Field - Annie Fetter
Geometry, difficulty level 2. Will a regulation-size NCAA soccer field fit inside an equal-quadrant 400-meter ... more>>

Running a Mile on a Metric Track - Annie Fetter
Geometry, difficulty level 4. How far out from the rail on a 400 meter track would you have to run to cover 440 ... more>>

Sighting in a Rifle - Annie Fetter
Geometry, difficulty level 3. Analyze the given target of four shots, and tell me how far to move the scope on my rifle so that the group of shots ... more>>

The Speed Skating Oval - Annie Fetter
Geometry, difficulty level 2. Find the radii of the turns of a 400 meter speed skating ... more>>

Who Wants to be an Archery Champion? - Annie Fetter
Geometry, difficulty level 2. To determine the winner, calculate the "string length" for each of two archery rounds. ... more>>

Winning at Biathlon - Annie Fetter
Geometry, difficulty level 3. Figure out which of two fictional biathletes will win a ... more>>

World Series Snafu? - Annie Fetter
Geometry, difficulty level 2. Determine what's wrong with the "official" dimensions of "home plate" in baseball. ... more>>

Discrete Math

Fastball or Curveball? - Leigh Nataro
Discrete Math, difficulty level 4. Using game theory, find the percentage of time a batter should guess a fastball will be thrown, and calculate the ... more>>

Ping Pong Tournament
Discrete Math, difficulty level 3. Organize a Ping Pong (table tennis) singles tournament for your ... more>>

Which is the Dominant Team? - Jennifer Stetz, Nicole Zayatz
Discrete Math, difficulty level 3. Determine which soccer team dominates the ... more>>

World Series Champions - Leigh Nataro
Trig/Calc, difficulty level 3. How many ways could a baseball team win a World Series of n games if it must win a majority (one more than half) of ... more>>

Trigonometry/Calculus

Basketball Angles - Richard Tchen
Trig/Calc, difficulty level 4. Find the minimum angle at which a basketball will pass through a basketball ... more>>

Fishing on the Bay - Leigh Nataro
Trig/Calc, difficulty level 3. Will the depth of the water on the bay be at the right level for fishing? Write a trig function to find ... more>>

Football Volume - Leigh Nataro
Trig/Calc, difficulty level 3. Given the dimensions of a football, find its ... more>>

The Indoor Driving Range - Leigh Nataro
Trig/Calc, difficulty level 3. Determine the minimum amount of netting needed to make an indoor driving range golf ... more>>

Skiing in Vermont - Leigh Nataro
Trig/Calc, difficulty level 2. How far must you ski and what does your heading need to be for you to return to your starting ... more>>


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