Problem Set Workbook
Access the downloadable workbook for 2016 USAJMO Day 2 problems here.
Discussion Forum
Engage in discussion about the 2016 USAJMO Day 2 math contest by visiting Random Math USAJMO Day 2 2016 Forum
Individual Problems and Solutions
For problems and detailed solutions to each of the 2016 USAJMO Day 2 problems, please refer below:
Problem 4: Find, with proof, the least integer such that if any 2016 elements are removed from the set , one can still find 2016 distinct numbers among the remaining elements with sum .
Solution:
Problem 5: Let be an acute triangle, with as its circumcenter. Point is the foot of the perpendicular from to line , and points and are the feet of the perpendiculars from to the lines and , respectively.
Given that
prove that the points , and are collinear.
Solution:
Problem 6: Find all functions such that for all real numbers and ,
Solution:
The problems on this page are the property of the MAA's American Mathematics Competitions