(Doctoral students must include the
following on the title page instead:
title, author’s name, and institution name)
Title of Paper
3. How many ways can you make change for a $50 bill using $5, $10, and $20 bills?
7. Marc goes to the store with exactly $1.00 in change. He has at least one of each coin less than half-dollar coin, but he does not have a half dollar coin.
a. What is the least number of coins he could have?
b. What is the greatest number of coins he could have?
11. Recall the song “The Twelve Days of Christmas”: On the first day of Christmas my true love gave to me a partridge in a pear tree. On the second day of Christmas my true love gave to me two turtle doves and a partridge in a pear tree. On the third day of Christmas my true love gave to me three French hens, two turtle doves, and a partridge in a pear tree. This pattern continues for 9 more days. After 12 days,
a. which gifts did my true love give the most? (Yes,
you will have to remember the song.)
b. how many total gifts did my true love give to me?
13. Suppose you throw three darts at the target pictured below. All of the darts hit the target for a score. What are all the different possible scores?
14. The following is a magic square (all rows, columns, and diagonals sum to the same number). Find the value of each variable.
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