AP Computer Science Programming Projects – Vars/Math/Strings 1. Write a program that simulates rolling a pair of dice. You can simulate rolling one die by choosing one of the integers 1, 2, 3, 4, 5, or 6 at random. Use the (int)(Math.random()*6)+1 function to have the computer report an appropriate random number. Assign this value to a variable to represent one of the dice that are being rolled. Do this twice and add the results together to get the total roll. Your program should report the number showing on each die as well as the total roll. For example: The first die comes up 3 The second die comes up 5 Your total roll is 8 2. Write a program that helps the user count his change. The program should ask how many quarters the user has, then how many dimes, then how many nickels, then how many pennies. Then the program should tell the user how much money he has, expressed in dollars. 3. If you have N eggs, then you have N/12 dozen eggs, with N%12 eggs left over. (This is essentially the definition of the / and % operators for integers.) Write a program that asks the user how many eggs she has and then tells the user how many dozen eggs she has and how many extra eggs are left over. 4. A gross of eggs is equal to 144 eggs. Extend your previous program so that it will tell the user how many gross, how many dozen, and how many left over eggs she has. For example, if the user says that she has 1342 eggs, then your program would respond with Your number of eggs is 9 gross, 3 dozen, and 10 since 1342 is equal to 9*144 + 3*12 + 10 5. Write a program that takes a complete 10 digit telephone number including dashes and then displays the area code and telephone number separately. 6. Write a program that requests a letter and gives its first (and only) position in the sentence “The quick brown fox jumps over a lazy dog.” E.g. If the users types “b” then the message “B first occurs in position 10” is displayed. (Hint: be careful of upper vs. lowercase letters input by the user!) 7. Request a sentence, a word in the sentence, and another word and then display the sentence with the first word replaced by the second. E.g. If the user types “What you don’t know won’t hurt you” followed by “know” and “owe”, then the message “What you don’t owe won’t hurt you” appears. 8. Write a program that asks for the user’s full name and then responds with the name in the form: Last Name, First Name M.I. e.g John Quincy Adams would be Adams, John Q.