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  All Sites - 206 items found, showing 151 to 200

  1. Round the World on a Wire - Terry Trotter
    Algebra, difficulty level 2. A wire is wrapped around the equator of the earth. Then extra wire is spliced in. Can you walk under the slack that results? ...more>>

  2. Row, Row, Row Your Boat - Ethel Breuche
    Algebra, difficulty level 2. Cassie and Mat are sinking fast on their raft. How fast must Cassie bail so that they don't have to swim to shore? ...more>>

  3. Sam and Teri Revisited - Terry Trotter
    Algebra, difficulty level 3. A bank account deposit-withdrawal problem with a difference. ...more>>

  4. Sam and Teri's Bank Accounts - Terry Trotter
    Algebra, difficulty level 1. Sam and Teri have bank accounts. Sam always withdraws money; Teri always saves it. When will they have equal balances, or will they? ...more>>

  5. September Squares - Cynthia Lanius and Steve Risberg
    Algebra, difficulty level 2. Use a variable to explain how you can be given the sum of four dates that form a block on a calendar and determine what the four dates must be. ...more>>

  6. A Sequence of Numbers - Asher Walkover
    Algebra, difficulty level 2. Find the second number in a Fibonacci-like series. ...more>>

  7. Sierpinski Stages - Steve Risberg
    Algebra, difficulty level 2. Find and use patterns to determine the total perimeter of an interesting shape. ...more>>

  8. A Space Diagonal - Terry Trotter, MATHCOUNTS
    Algebra, difficulty level 2. Find the space diagonal of a certain cube in a sequence of cubes. ...more>>

  9. The Spider and the Fly - J. A. H. Hunter
    Algebra, difficulty level 2. A spider presents a challenge to a fly: solve a math problem and escape! ...more>>

  10. The Spiral on the Can - Ethel Breuche
    Algebra, difficulty level 3. By using the Pythagorean theorem, students can find the length of the spiral painted on a can. ...more>>

  11. Stina's Hike - Annie Fetter
    Pre-Algebra, difficulty level 2. Choose the graph that best represents Stina's hike. ...more>>

  12. The Straggler Shakes Hands - Melissa Kennedy, Susan Rose, Ethel Breuche
    Algebra, difficulty level 3. There were one hundred forty-one handshakes in all. How many people did the straggler know? This puzzle involves a quadratic expression and triangular numbers. ...more>>

  13. Sums, Quotients, and Remainders - Terry Trotter
    Algebra, difficulty level 3. Given the sum of two numbers and information about the quotient and remainder when they are divided, find the larger number, then solve the same sort of problem in a general case. ...more>>

  14. A Surprising Sequence - Steve Risberg
    Algebra, difficulty level 2. In a Fibonacci sequence, the first number is 1 and the tenth number is 111. Find the second number. ...more>>

  15. Swapping Marbles - Lillian Ray, Steve Risberg, and Steve Weimar
    Algebra, difficulty level 3. Three kids swap marbles in an interesting way. After the swapping, which of the three had gained the most marbles? How many did they gain? ...more>>

  16. Take Me Out to the Ballgame - Annie Fetter
    Algebra, difficulty level 4. Determine how many innings a pitcher has thrown as his Earned Run Average changes during a game. ...more>>

  17. A Tale of Two Intercepts - Terry Trotter
    Algebra, difficulty level 3. Find the distance between two y-intercepts. ...more>>

  18. Tatianna and the Troll - Terry Trotter, revised
    Elementary, difficulty level 3. Tatianna tests the troll... and neither loses nor gains. ...more>>

  19. Tele-Plus - Terry Trotter
    Algebra, difficulty level 1. Find the cost of one phone that is part of a three-in-one communications package deal. ...more>>

  20. 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 to achieve the win ratio of .503 after the weekend. ...more>>

  21. Texting 1, 2, 3 - Steve Risberg
    Algebra, difficulty level 2. Determine the pricing of Kheri's cell phone texting plan. ...more>>

  22. That's Interesting! - Steve Risberg
    Algebra, difficulty level 3. Two men follow different strategies for saving money. Who winds up with more? ...more>>

  23. The North Hunterdon Triangle - Annie Fetter
    Geometry, difficulty level 2. Given points O:(0,0) and Q:(a,0), describe the possible locations of point P such that triangle OPQ is first isosceles and then equilateral. ...more>>

  24. The Teddy Bears' Banquet * - Claire Mead
    Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet? ...more>>

  25. Three Consecutive Integers - Annie Fetter
    Algebra, difficulty level 1. Use a variable to explain an interesting relationship that can be found between three consecutive integers. ...more>>

  26. The Three Jelly Bean Jars - Terry Trotter
    Algebra, difficulty level 2. Three brothers buy jelly beans. The jelly beans are in jars that are three different sizes. How many jelly beans does each brother buy? ...more>>

  27. Tiffany's Triumphs - Terry Trotter
    Algebra, difficulty level 1. Given the number of games that Tiffany has played so far and the number that she has won, how many games would she have to win in a row to get her winning percentage up to 60%? ...more>>

  28. Timber!!! - Lisa and Judy Gardner
    Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree. ...more>>

  29. Time Trial Triumphs - Steve Risberg, Terry Trotter, and Annie Fetter
    Algebra, difficulty level 2. At 9:05 a.m. Ernesto starts riding at a speed of 440 yards per minute. At 9:20 a.m. Johnny starts riding, but he's going 20% faster than his little brother. At what time, to the nearest minute, will Johnny catch Ernesto? ...more>>

  30. To B or Not To B - Steve Risberg
    Algebra, difficulty level 2. Given a letter pattern, find expressions for the number of B's and the ratio of B's to total letters in the nth term. ...more>>

  31. To Grandmother's House We Go - Ethel Breuche
    Algebra, difficulty level 4. Red Riding Hood goes to visit Grandmother for the holidays at the same time that Grandmother heads out to visit Red. What is the ratio of their speeds? ...more>>

  32. 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 winner! ...more>>

  33. Triangle Possibilities - Steve Risberg
    Algebra, difficulty level 2. Given information about side lengths of a triangle, determine possible dimensions. ...more>>

  34. Triangle Probability - Annie Fetter
    Algebra, difficulty level 3. A point is randomly selected from within a triangle with vertices at (0,0), (0,4) and (6,0). What is the probability that the x-coordinate of the selected point is less than the y-coordinate? ...more>>

  35. A Triangle's Area - Canadian Open Math Challenge 1999 via Tim Lang
    Algebra, difficulty level 3. Find the "b" values of two lines needed to form two congruent triangles of a given area. ...more>>

  36. Triangular Number Identities - Terry Trotter
    Algebra, difficulty level 3. Prove two famous theorems of ancient number theory: the sum of any two consecutive triangular numbers is a square number, and the product of 8 and any triangular number, increased by 1, is a square number. ...more>>

  37. Tribonacci - Terry Trotter
    Algebra, difficulty level 3. Find the second and third terms of a "Tribonacci" sequence. ...more>>

  38. Trick-or-Treat Box - Terry Trotter
    Algebra, difficulty level 1. Harvey and his classmates make trick-or-treat boxes in math class and use a special formula to find the volumes. ...more>>

  39. Tunnel Time - Annie Fetter, Ian Underwood, Suzanne Alejandre
    Pre-Algebra, difficulty level 2. At what time does the end of the train emerge from the tunnel? ...more>>

  40. Two for Two - Annie Fetter
    Algebra, difficulty level 3. Two numbers have a ratio of 5:3. The larger number is 36 more than half the difference of the two numbers. What are the two numbers? ...more>>

  41. Two for Two More - Annie Fetter
    Algebra, difficulty level 3. Two numbers have a ratio of 4:3. The greater number is 60 more than 8 times their difference. What could the two numbers be? ...more>>

  42. The Unhappy Carpenter - Ethel Breuche
    Algebra, difficulty level 1. A carpenter agrees to be paid a certain amount of money when she works, and to repay money on the days she doesn't work. Find the number of days she worked if she earned $77.00. ...more>>

  43. Up the Down Elevator - Ethel Breuche
    Algebra, difficulty level 2. Juanita has to use a freight elevator to deliver packages but can use the passenger elevator to return. What is her average speed for the entire trip? ...more>>

  44. Valentine Candy - Ethel Breuche
    Algebra, difficulty level 2. A vendor who sells Valentine candy boxes wants to raise the price. For every twenty-five-cent increase he loses two customers. At what price should he sell the boxes to achieve the maximum profit? ...more>>

  45. Voter Turnout - Steve Risberg
    Algebra, difficulty level 2. A group of students collected data on voter turnout for the recent election and plotted graphs broken down by age groups. Can you match each age group with its graph? ...more>>

  46. Walter's Weird Wages - Terry Trotter
    Algebra, difficulty level 2. Walter's eccentric parents give their son his housework wages in a strange way. Can you determine how much he receives? ...more>>

  47. The Way the Crazy Crow Flies - Janet Bowers
    Algebra, difficulty level 3. A crazy crow flies back and forth between two trains that are approaching each other on parallel tracks. How far does the crow fly? ...more>>

  48. The Weight of Bart's Brick - Terry Trotter
    Algebra, difficulty level 1. Bart was asked by his construction foreman about the weight of a brick. Bart's answer befuddled his boss. (But not you.) ...more>>

  49. What's My Angle? - Terry Trotter
    Algebra, difficulty level 3. Using concepts of vertical angles and supplementary angles, solve two quadratic expressions to find the measure of a given angle. ...more>>

  50. What's My Line? - Terry Trotter
    Algebra, difficulty level 1. Given a set of eight points in the Cartesian plane, find the three that are collinear. ...more>>


 
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