- Explaining a Number Trick - Annie Fetter
Algebra, difficulty level 1. Use a variable to explain how this number trick works.
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- Filling Glasses - Annie Fetter
Algebra, difficulty level 2. Match up each of the three glasses with the graph that best describes the height of the water in the glass over time, when the glass is filled with water at a constant rate.
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- Filling the Aquarium - Terry Trotter
Algebra, difficulty level 2. A workman at a zoo has to clean an aquarium, but forgets to do an important task, thus causing a problem (for us).
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- Finding a Supplement - Terry Trotter & Annie Fetter
Geometry, difficulty level 1. Two lines, AB and CD, intersect at point E. Angles AED and CEB have measures that can be expressed as 2x^2 + 3x + 15 and 3x^2 + x - 20. Find all of the possible measures of angle BED.
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- Flatland Soldiers - Terry Trotter
Algebra, difficulty level 1. Find the size of the vertex angle of a soldier in the world of Flatland, a famous book by Edwin A. Abbott.
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- 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?
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- Fording the River - Lisa and Judy Gardner
Algebra, difficulty level 2. A terrible accident occurred just when the hands of a watch were in a special position. What time was it?
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- The Forever Green Nursery - Leigh Nataro
Discrete Math, difficulty level 3. Does the number of trees in a nursery increase, decrease, or stabilize?
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- Four Men and Some Money - Daboll
Algebra, difficulty level 1. Four men (A, B, C, & D) are splitting up a quantity of money ($100), and need your help to do it.
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- The Fourth of July Parade - Ethel Breuche
Discrete Math, difficulty level 3. After the parade, the people on the float I was on shook hands with each other. The Mayor came over and shook hands with only the people he knew. How many people did he know if there were 1625 handshakes altogether?
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- The Function Challenge - Bill Graham
Algebra, difficulty level 2. Arrange a series of functions in the order that will produce the largest output.
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- Funny Ducks - Ethel Breuche
Algebra, difficulty level 4. These funny ducks always walk exactly three feet from the lily pond. What is the area of the region bounded by their path?
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- Generosity - Ethel Breuche
Algebra, difficulty level 2. Three generous friends, each with some cash, redistribute their money.
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- Geometric Algebra? - Annie Fetter
Geometry, difficulty level 2. Given a geometric picture that illustrates the fact that a(a+b)=a^2+ab, explain what the second picture illustrates.
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- Georg Tricks the Troll - Terry Trotter
Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money.
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- 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.
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- Grandmother's Birthday Party - Judy Ann Brown
Middle School, difficulty level 1. Alice and Jessica are writing invitations for a surprise birthday party for their grandmother. Determine how many invitations they have written?
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- Grandpa Jones' Age - Terry Trotter
Algebra, difficulty level 2. Little George asks how old his grandpa is, and needs your help to find out the answer.
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- The Great Doughnut Caper - Terry Trotter
Algebra, difficulty level 2. After a number of doughnuts have been switched in their respective boxes, you are to discover the original state of things before the change was made.
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- The Great One - Terry Trotter
Algebra, difficulty level 2. Indiana Jones found a math problem about the life span of "The Great One" engraved on an old tombstone. How old was the Great One when he died?
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- Gumballs Galore! - Terry Trotter
Algebra, difficulty level 2. Two famous characters from literature go on a gumball shopping spree.
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- Halloween Night - Ethel Breuche
Algebra, difficulty level 1. One hundred candy kisses were being distributed, one at a time, to five goblins at my door. The phone rang, and when I came back I didn't remember where I had left off. How did I continue distributing without
starting
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- He Shoots! He Scores! - Annie Fetter, Steve Risberg, & Terry Trotter
Algebra, difficulty level 3. Given a set of equations and inequalities, figure out how many points Bo might have scored in his basketball game.
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- Home-Made Valentine Card - Terry Trotter
Algebra, difficulty level 2. Reuben expresses his affection for his girlfriend by making his own Valentine's Day card, described mathematically.
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- How Far in Space? - Suzanne Alejandre
Pre-algebra, difficulty level 1. By the time the Space Shuttle Discovery had undocked from it in
August, 2005, how far
had the International Space Station traveled while orbiting the Earth?
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- How High Is Enough? - Terry Trotter
Algebra, difficulty level 3. A right triangle is formed by stretching flexible elastic "legs" sufficiently high. How high must that be?
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- Humphrey's Great Escape - Bill Graham
Algebra, difficulty level 3. Calculate Humphrey's running speed as he tries to outrun a train across a trestle.
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- Humphrey's Phone Number - Bill Graham
Algebra, difficulty level 3. Figure out Humphrey's 10-digit phone number given various clues about the divisibility of parts of his number.
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- Idle Ivan and the Troll - Lisa Lavelle
Elementary, difficulty level 2. Idle Ivan makes a deal with a troll... to his disappointment he discovers he knows less math than he thought.
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- Illuminating Lines - Annie Fetter
Algebra, difficulty level 2. Match up statements, equations, and sets of points on coordinate planes.
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- Integer Game - Suzanne Alejandre
Pre-algebra, difficulty level 1. Help Alisa pick a set of six cards to win the Integer Game.
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- Integer Images - Suzanne Alejandre
Pre-algebra, difficulty level 2. Use the four equations to figure out which integers the quadrilateral
and the circle
represent.
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- It's the Law! - Terry Trotter
Algebra, difficulty level 3. Explain the two most important laws of exponents, as a good teacher or book might do.
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- 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 each one jog?
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- Jimmy's Hits - Terry Trotter & Annie Fetter
Algebra, difficulty level 2. Given information about how many doubles, homers, and singles, figure out how many total hits Jimmy had during his record-breaking season.
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- The Joke - Steve Risberg
Algebra, difficulty level 1. A joke circulates the Internet via email, with each recipient
forwarding it on to 8 friends. Find a formula to represent the number
of emails sent out at any stage of the forwarding, and use your
formula to answer some
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- Judy and Jen's Garden Problem - Terry Trotter
Algebra, difficulty level 2. Judy and her daughter Jen make up math problems while working in their vegetable garden.
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- Kristina's Code - Suzanne Alejandre & Steve Weimar
Algebra, difficulty level 1. Use the four equations that Kristina wrote to figure out her two unknown numbers.
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- Lemonade Fun - Maria Fung and her students
Pre-algebra, difficulty level 2. How many cups of each size lemonade did Jose and Nick sell?
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- The Length of Larry's Rectangle - Larry Sue
Algebra, difficulty level 2. Larry wants to know the length of his rectangle. Can you help him?
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- Lettuce for Sale - Ethel Breuche
Algebra, difficulty level 1. Using a linear equation, determine the number of heads of lettuce sold on Monday.
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- Lieutenant Stone's Troops - Terry Trotter
Algebra, difficulty level 2. Find the number of soldiers, performing in a formal military ceremony, who were marching in various rectangular arrangements.
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- The Locker Problem - Ethel Breuche
Discrete Math, difficulty level 2. This classic number theory problem investigates properties of prime numbers, perfect squares, and counting in a problem that involves opening and closing locker doors.
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- Louis And Boris Get Even - Ethel Breuche
Algebra, difficulty level 2. After taking their respective hormone pills, Louis is growing and Boris is shrinking. How long will it take before they become the same height?
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- 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.
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- Making Triangles - Steve Risberg
Algebra, difficulty level 4. The lengths of three segments are represented by (n + 2)^2, 9, and n(n
+ 5). Determine for what values of 'n' these three segments can be
used to form a triangle.
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- Marathon Mitch - Terry Trotter
Algebra, difficulty level 2. Mitch runs a road race and increases speed twice during the race.
Given his total finishing time, determine his standard running rate.
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- The Math Club Holiday Party - Judy Ann Brown
Middle School, difficulty level 2. The Math Club is having a holiday party. If the presents are opened in 5 minute intervals starting at 1:00 p.m. the last gift will be opened starting at 5:35 p.m. How many club members are there?
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- Mathematics Club Membership - Judy Ann Brown
Middle School, difficulty level 2. Find the number of students in the Mathematics Club using the given information.
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- Maxwell's Mowing - Terry Trotter
Algebra, difficulty level 1. Maxwell mows rectangular lawns by mowing around the rectangle, leaving a smaller rectangle. If the lawn is 200 feet by 120 feet, how wide a swath has he mowed so far if his mower runs out of gas 1/4 of the way through?
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