Year 33 (2021-22)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 32 (2020-21)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 31 (2019-20)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 30 (2018-19)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 29 (2017-18)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 28 (2016-17)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 27 (2015-16)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 26 (2014-15)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 25 (2013-14)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 24 (2012-13)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 23 (2011-12)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions

Year 22 (2010-11)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions

Year 21 (2009-10)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions
Round 4	Round 4 Problems	Round 4 Solutions

Year 20 (2008-09)

Round	Problems	Solutions
Round 1	Round 1 Problems	Round 1 Solutions
Round 2	Round 2 Problems	Round 2 Solutions
Round 3	Round 3 Problems	Round 3 Solutions
Round 4	Round 4 Problems	Round 4 Solutions

Year 19 (2007-08)

Round	Problems	Solutions
Round 1	Round 1 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 2	Round 2 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 3	Round 3 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 4	Round 4 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5

Year 18 (2006-07)

Round	Problems	Solutions
Round 1	Round 1 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 2	Round 2 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 3	Round 3 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 4	Round 4 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5

Year 17 (2005-06)

Year 17 featured a special topic. Click here to read an article about Year 17's feature topic, expected value.

Round	Problems	Solutions
Round 1	Round 1 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 2	Round 2 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 3	Round 3 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Round 4	Round 4 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5

Year 16 (2004-05)

Round	Problems	Solutions	LaTeX Source Files
Round 1	Round 1 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5	Round 1 LaTeX source file
Round 2	Round 2 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5	Round 2 LaTeX source file
Round 3	Round 3 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5	Round 3 LaTeX source file and diagram 3Ddiagram.pdf
Round 4	Round 4 Problems	Problem 1 Problem 2 Problem 3 Problem 4 Problem 5	Round 4 LaTeX source file and diagram Incircles2.pdf

In order to compile the LaTeX source files you will have to put them in a directory with the USAMTS_problems.sty file and the USAMTS logo file (click on the links to down load the files).

Past Years

Year 15 Round 1 (Quick answers and comments)
Year 15 Round 2 (Quick answers and comments)
Year 15 Round 3 (Quick answers and comments)
Year 15 Round 4 (Quick answers and comments)

Year 14 Round 1 (Solutions)
Year 14 Round 2 (Solutions)
Year 14 Round 3 (Solutions)
Year 14 Round 4 (Solutions)

Year 13 Round 1 (Solutions)
Year 13 Round 2 (Solutions)
Year 13 Round 3 (Solutions)
Year 13 Round 4 (Solutions)

Year 12 Round 1 (Solutions)
Year 12 Round 2 (Solutions)
Year 12 Round 3 (Solutions)
Year 12 Round 4 (Solutions)

Year 11 Round 1 (Solutions)
Year 11 Round 2 (Solutions)
Year 11 Round 3 (Solutions)
Year 11 Round 4 (Solutions)

Year 10 Round 1 (Solutions)
Year 10 Round 2 (Solutions)
Year 10 Round 3 (Solutions)
Year 10 Round 4 (Solutions)