1. A Truly Remarkable Number Enter 999999 into your calculator, then divide it by seven. The result will be a mysterious number! Throw a die (or randomly pick a number from 1 to 6) and multiply the result by the mysterious number. Arrange the digits of the product from lowest to highest from left to right to form a six-digit number. What is the number? ________________________________________ 2. Number Names Think of any number from 1 through 100. Write down its name. Count the number of letters in its name to obtain a second number. Count the number of letters in the second number to obtain a third number. Continue in this way until the chain of numbers ends on a number that keeps repeating. What is the number? ________________________________________ 3. The Magic of 8 Multiply your phone number -- treating it as a seven-digit number (without its area code) -- by 8. Then write down the following three numbers: (i) your phone number, (ii) 8, and (iii) the product of your phone number and 8. Add up all the individual digits in those three numbers. If the sum is more than one digit, take that sum and add up its digits. Continue adding up digits until only one digit is left. What is the digit? ________________________________________ 4. Secret Word When in the Course of human Events, it becomes necessary for one People to dissolve the Political Bands which have connected them with another, and to assume, among the Powers of the Earth, the separate and equal Station to which the Laws of Nature and of Nature's God entitle them, a descent Respect to the Opinions of Mankind requires that they should declare the causes which impel them to the Separation. Printed above is the first paragraph of the U.S. Declaration of Independence. Select any one of the first 20 words. Count the letters and call that number n. Move ahead n words, beginning with the word after your selected word. When you reach that nth word, count its letters and move ahead as many words as the new letter count. Continue in this manner, counting letters and moving ahead words, until you stop on a word that's beyond the fourth line. On what word did you stop? _________________________________