Problem 1E: Broken Elevator A man enters a building on the first floor and runs up to the third floor in 20... Problem 2E: Use the various problem-solving strategies to solve each problem In many cases there is more than... Problem 3E: Do You Have a Match? Move 4 of the matches in the figure to create exactly 3equilateral triangles.... Problem 4E: Sudoku Sudoku is an puzzle that requires the solver to fill in all the squares using the integers 1... Problem 5E: Use the various problem-solving strategies to solve each problem, in many cases there is more than... Problem 6E: A Real Problem We are given the following sequence: PROBLEMSOLVINGPROBLEMSOLVINGPROB If the pattern... Problem 7E: How Old Is Mommy? A mother has two children whose ages differ by 5 years.
The sum of the squares of... Problem 8E: An Alarming Situation You have three alarms in your room. Your cell phone alarm is set to ring every... Problem 9E: Laundry Day Every Monday evening, a mathematics teacher stops by the drycleaners, drops off the... Problem 10E: Pick an Envelope Three envelopes contain a total of six bills. One envelope contains two $10 bills,... Problem 11E: Class Members A classroom contains an equal number of boys and girls. If 8 girls leave, twice as... Problem 12E Problem 13E: Missing Digit Look for a pattern and find the missing digit x. 2 4 8 7 2 1 3 8 4 x 5 4 3 6 9... Problem 14E: 14. Abundancy An integer is abundant if the sum of its proper divisors(positive integer divisors... Problem 15E: Cross-Country Competition The schools in an athletic conference compete in across-country meet to... Problem 16E: Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person... Problem 17E: Cutting a Square in Half In how many ways can a single straight line cut a square in half? (October... Problem 18E: You Lie! Max, Sam, and Brett were playing basketball. One of them broke a window, and the other two... Problem 19E: Bookworm Snack A 26-volume encyclopedia (one for each letter) is placed on a bookshelf in... Problem 20E: Pick a Card, Any Card Three face cards from an ordinary deck of playing cards lie facedown in a... Problem 21E: 21. Catwoman’s Cats If you ask Batman’s nemesis, Catwoman, how many cats she has, she answers with a... Problem 22E: Pencil Collection Bob gave four-fifths of his pencils to Barbara, then he gave two-thirds of the... Problem 23E: Adding Gasoline The gasoline gauge on a van initially read 18 full. When 15 gallons were added to... Problem 24E: 24. Gasoline Tank Capacity When 6 gallons of gasoline are put into a car’s tank, the indicator goes... Problem 25E: Number Pattern What is the relationship between the rows of numbers? 18, 38, 24, 46, 42 8, 24, 8,... Problem 26E: 26. Locking Boxes You and I each have one lock and a corresponding key. I want to mail you a box... Problem 27E: 27. Number in a Sequence In the sequence 16, 80, 48, 64, A, B, C, D, each term beyond second term is... Problem 28E: Unknown Number Cindy was asked by her teacher to subtract 3 from a certain numb and then divide the... Problem 29E: 29. Unfolding and Folding a Box An unfolded box is shown below.
Problem 30E Problem 31E: Labeling Boxes You are working in a store that has been very careless with the stock Three boxes of... Problem 32E: Mr. Greens Age At his birthday party, Mr. Green would not directly tell how old he was He said, If... Problem 33E: 33. Sum of Hidden Dots on Dice Three dice with faces numbered 1 through 6 are stacker as shown.... Problem 34E: 34. Age of the Bus Driver Today is your first day driving a city bus. When you leave downtown, you... Problem 35E: 35. Matching Triangles and Squares How can you connect each square with the triangle that has the... Problem 36E: 36. Forming Perfect Square Sums How must one place the integers from 1 to 15 in each of the spaces... Problem 37E: Difference Triangle Balls numbered 1 through 6 are arranged in a difference triangle. Note that in... Problem 38E: Clock Face By drawing two straight lines, divide the face of a clock into three regions such that... Problem 39E: Alphametric If a, b, and c are digits for which 7a248b c73, then a+b+c= A.14 B. 15 C. 16 D. 17 E. 18... Problem 40E: Perfect Square Only one of these numbers is a perfect square. Which one is it? (Octob8, 1997) 329476... Problem 41E: Sleeping on the Way to Grandmas House While traveling to his grandmothers for Christmas, George fell... Problem 42E: Buckets of Water You have brought two unmarked buckets to a stream. The buckets hold 7 gallons and 3... Problem 43E: Counting Puzzle (Rectangles) How many rectangles are in the figure? (March 27, 1997) Problem 44E: Digit Puzzle Place each of the digits 1, 2, 3, 4, 5, 6, 7, and 8 in separate boxes so that boxes... Problem 45E: 45. Palindromic Number (Note: A palindromic number is a number whose digits read the same left to... Problem 46E: 46. How Much Is That Doggie in the Window? A man wishes to sell a puppy for $11. A customer who... Problem 47E: Final Digits of a Power of 7 What are the final two digits of 7 ? (November 29, 1997) Problem 48E: 48. Units Digit of a Power of 3 If you raise 3 to the 324th power, what is the units digit of the... Problem 49E: Summing the Digits When 10 - 50 is expressed as a single whole number, what is the sum of its... Problem 50E: 50. Frog Climbing up a Well A frog is at the bottom of a 20-foot well. Each day it crawls up4 feet,... Problem 51E: 51. Units Digit of a Power of 7 What is the units digit in 7 ?
Problem 52E Problem 53E: Going Postal Joanie wants to mail a package that requires $1.53 in postage. If she has only 5-cent... Problem 54E: 54. Counting Puzzle (Squares) How many squares are in the figure?
Problem 55E: Matching Socks A drawer contains 20 black socks and 20 white socks. If the light is off and you... Problem 56E Problem 57E: 57. Perfect Number A perfect number is a counting number that is equal to the sum of all it counting... Problem 58E: Naming Children Beckys mother has three daughters. She named her first daughter Penny and her second... Problem 59E: 59. Growth of a Lily Pad A lily pad grows so that each day it doubles its size. On the twentieth day... Problem 60E Problem 61E Problem 62E Problem 63E: Adam and Eves Assets Eve said to Adam, If you give me one dollar, then we will have the same amount... Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E: 69. Pitches in a Baseball Game What is the minimum number of pitches that a baseball player who... Problem 70E: 70. Weighing Coins You have eight coins. Seven are genuine and one is a fake, which weighs a little... Problem 71E: 71. Geometry Puzzle When the diagram shown is folded to form a cube, what letter is opposite the... Problem 72E Problem 73E Problem 74E Problem 75E: 75. Paying for a Mint Brian has an unlimited number of cents (pennies), nickels, and dimes. In how... Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E: Making Change Webster has some pennies, dimes, and quarters in his pocket. When Josefa asks him for... format_list_bulleted