In total, the Cubs agreed to terms with 15 of their first 16 picks. The only exception was outfielder Ivan DeJesus of Cupeyville (Puerto Rico) High School, who is no relation to Cubs first-base coach Ivan DeJesus.
Wells, a right-handed pitcher out of Bryant High School in Arkansas, and Rhoderick, a right-handed pitcher from Oregon State University, were the last to sign among the Cubs' top 10 picks.
Besides Wells and Rhoderick, the other Draft picks who agreed to terms Monday include left-handed pitcher Casey Harman, selected in the 29th round out of Clemson University, and left-handed pitcher Brian Smith, a 40th-round pick out of St. Mary's Catholic (Ontario).
The Cubs agreed to terms with 29 of their first 50 selections, including 21 of their first 25 selections.
Chicago selected right-hander Hayden Simpson of Southern Arkansas in the first round, but he has been unable to play in the Minor Leagues this year after a bout with mononucleosis.
Carrie Muskat is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.