Dear Robert, Please consult https://sites.math.rutgers.edu/~zeilberg/Hist21/mt1S.pdf for the full solutions. You got 98 points (out of 120). Here is what you got wrong: #2: -10 points (it has nothing to do with even and odd) #4(i): -2 points (you had to give more details) #5: -5 points (you did not explain, and the square you got is not what you get from using the method) #7: -5 points (you did not define Egyptian fraction) Best wishes, Dr. Z.