Dear Vivian, Please consult https://sites.math.rutgers.edu/~zeilberg/Hist21/mt1S.pdf for the full solutions. You got 90 points (out of 120). Here is what you got wrong: #3: -10 points (not attempted) #4(i): -3 points (you have to check at 5 different places) #4(ii): -5 points (not attempted) #6: -2 points (An Egyptian faction is a sum of DISCTINT reciprocals) #12: -10 points (not attempted) Best wishes, Dr. Z.