Directory


PUMaC Problem and Result Archive

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Directory


PUMaC Problem and Result Archive

2017


2017


Division B

ALGEBRA

problemsSolutions

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

problems • solutions

GEOMETRY

problemssolutions

NUMBER THEORY

problemssolutions

INDIVIDUAL FINALS

problemssolutions

Power Round

PROBLEMS • Solutions

Live Round

Problems • solutions

 

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2016


2016


Division B

ALGEBRA

problems • Solutions

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

problems • solutions

GEOMETRY

problems • solutions

NUMBER THEORY

problems • solutions

INDIVIDUAL FINALS

problems • solutions

Power Round

PROBLEMS • Solutions

Live Round

Problems • ANSWERS

 

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2015


2015


Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Power Round

PROBLEMS • SOLUTIONS

 

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2014


2014


2014

Results

division A • division B • power

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Power Round

PROBLEMS • Solutions

 

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2013


2013


2013

Results

division A • division B • power

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individuals Finals

problems • solutions

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Power Round

PROBLEMS • SOLUTIONS

 

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2012


2012


2012

Results

division A • division B • power

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Team Round

PROBLEMS • Answer Sheet • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Power Round

PROBLEMS • SOLUTIONS

 

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2011


2011


2011

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

individual Finals

problems • solutions

Power Round

PROBLEMS • SOLUTIONS

 

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2010


2010


2010

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

Power Round

Problems • Solutions

 

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2009


2009


2009

Division B

Algebra

Problems • Solutions

Combinatorics

problems • solutions

Geometry

problems • Solutions

Number Theory

problems • solutions

Team Round

problems • solutions

Division A

Algebra

Problems • Solutions

Combinatorics

problems • solutions

Geometry

Problems • Solutions

Number Theory

problems • solutions

Power Round

Problems • Solutions

 

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2008


2008


2008

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Power Round

PROBLEMS • Solutions

               

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2007


2007


2007

(Solutions not Available)

Division B

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Team Round

PROBLEMS • SOLUTIONS

Division A

ALGEBRA

PROBLEMS • SOLUTIONS

COMBINATORICS

PROBLEMS • SOLUTIONS

GEOMETRY

PROBLEMS • SOLUTIONS

NUMBER THEORY

PROBLEMS • SOLUTIONS

INDIVIDUAL FINALS

PROBLEMS • SOLUTIONS

Power Round

PROBLEMS • SOLUTIONS

Errata (issued on contest day):

Team #7: replace “CP = PQ” with “CQ = PQ.”
Team #9: replace “an integer r” with “a positive integer r.”

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