Problems for NC State Math Contest and ARML Practice

The following topics are ones that seem to be favorites of the writers of many contests, and are topics that are often overlooked in the normal curriculum.  For each topic you will find some brief introductory material followed by problems, some of which are from previous NC State Math Contests or from ARML Competitions.  I have tried to note the source whenever possible.  If you find a problem that looks like it came from a previously published contest and I have not cited the source, please email me so that I can give proper credit.  Also, if you run across a really good problem that seems to fit into one of the following categories, please forward me the problem, solution, and source and I will add it to the topic. 

All files are in PDF format.

Subject

Solutions (if written)

Number Theory

Number Theory

Power of a Point

Power of a Point

Analytical Geometry

Analytical Geometry

Complex Numbers

Complex Numbers

Number Bases

Number Bases

Distance Formulas

Distance Formulas

Partial Fractions

Partial Fractions

Finite Differences

Finite Differences

Perfect Squares

Perfect Squares

Cevians & Stewart's Theorem

Cevians and Stewart's Theorem

Polynomials

Polynomials

 

 

 


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Email me suggestions, new problems, corrections:  goebel@ncssm.edu