Weekly Math Problems for High School Students

This page is for high school students who love mathematics! Here you will find a new and intriguing math problem posted every week with the solution revealed the following week. These problems come directly from the curriculum of the math high schools in Eastern Europe and will help students better prepare for their college level university, science, and economics courses as well as for future careers in STEM and economics related fields. These problems are also suitable for students who are preparing for math competitions. Welcome and enjoy!

If you have enjoyed doing these problems and would like to meet other students who share your interest in mathematics and do problems with them, consider signing up for the following Summer Math Program for High School students.

Problems for 2015

Problems for 2016

2017

Week 1: Solving Equations

Problem

Solution

Week 2: Arithmetic Progressions

Problem

Solution

Week 3: Arithmetic Progressions

Problem

Solution

Week 4: Parametric Equations

Problem

Solution

Week 5: Simplifying Algebraic Expressions

Problem

Solution

Week 6: Parametric Equations and Arithmetic Progressions

Problem

Solution

Week 7: Simplifying Algebraic Expressions and Solving Equations

Problem

Solution

Week 8: Solving Algebraic Equations

Problem

Solution

Week 9: Proving Algebraic Inequalities

Problem

Solution

Week 10: Trigonometric Equations

Problem

Solution

Week 11: Optimization Problems

Problem

Solution

Week 12: Solving Algebraic Inequalities

Problem

Solution

Week 13: Solving Algebraic Inequalities

Problem

Solution

Week 14: Optimization Problems

Problem

Solution

Week 15: Optimization Problems

Problem

Week 16: Simplifying Algebraic Expressions

Problem

Week 17: Arithmetic Progressions

Problem

Solution

Week 18: Parametric Quadratic Polynomials

Problem

Solution

Week 19: Geometric Progressions

Problem

Solution

Week 20: Optimization Problems

Problem

Solution

Week 21: Arithmetic Progressions

Problem

Solution

Week 22: Solving Algebraic Equations

Problem

Solution

Week 23: Quadratic Equations

Problem

Solution

Week 24: Quadratic Functions

Problem

Solution

Week 25: Quadratic Equations

Problem

Solution

Week 26: Arithmetic Progressions

Problem

Solution

Week 27: Simplifying Algebraic Expressions

Problem

Solution

Week 28: Quadratic Functions

Problem

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This page is maintained by Ivana Alexandrova, an Assistant Professor in the Department of Mathematics and Statistics at the State University of New York, Albany.