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!

Problems for 2015

2016

Week 1: Solving Equations

Problem

Solution

Week 2: Proving Inequalities

Problem

Solution

Week 3: Solving Equations

Problem

Solution

Week 4: Parametric Equations

Problem

Solution

Week 5: Properties of Quadratic Equations

Problem

Solution

Week 6: Properties of Quadratic Equations

Problem

Solution

Week 7: Parametric Quadratic Equations

Problem

Solution

Week 8: Simplifying Trigonometric Expressions

Problem

Solution

Week 9: Parametric Equations

Problem

Solution

Week 10: Equations with Absolute Values

Problem

Solution

Week 11: Simplifying Algebraic Expressions

Problem

Solution

Week 12: Simplifying Numerical Expressions

Problem

Solution

Week 13: Number Theory

Problem

Solution

Week 14: Factoring Algebraic Expressions

Problem

Solution

Week 15: Trigonometric Inequalities

Problem

Solution

Week 16: Parametric Quadratic Polynomials

Problem

Solution

Week 17: Parametric Quadratic Polynomials

Problem

Solution

Week 18: Solving Equations

Problem

Solution

Week 19: Number Theory

Problem

Solution

Week 20: Absolute Values

Problem

Solution

Week 21: Simplifying Algebraic Expressions

Problem

Solution

Week 22: Inequalities

Problem

Solution

Week 23: Quadratic Equations

Problem

Solution

Week 24: Quadratic Equations

Problem

Solution

Week 25: Factoring Polynomials

Problem

Solution

Week 26: Roots of Quadratic Equations

Problem

Solution

Week 27: Inequalities

Problem

Solution

Week 28: Parametric Inequalities

Problem

Solution

Week 29: Number Theory

Problem

Solution

Week 30: Trigonometric Inequalities of the Triangle

Problem

Solution

Week 31: Parametric Quadratic Equations

Problem

Solution

Week 32: Parametric Quadratic Equations

Problem

Solution

Week 33: Proving Inequalities

Problem

Solution

Week 34: Algebraic Identities

Problem

Solution

Week 35: Maximization Problems

Problem

Solution

Week 36: Divisibility

Problem

Solution

Week 37: Simplifying Numerical Expressions

Problem

Solution

Week 38: Simplifying Numerical Expressions

Problem

Solution

Week 39: Roots of Quadratic Equations

Problem

Solution

Week 40: Roots of Quadratic Equations

Problem

Solution

Week 41: Aritmetic Progressions

Problem

Solution

Week 42: Aritmetic Progressions

Problem

Solution

Week 43: Parametric Inequality

Problem

Solution

Week 44: Complex Numbers

Problem

Solution

Week 45: Minimization Problems

Problem

Solution

Week 46: Diophantine Equations

Problem

Solution

Week 47: Polynomials

Problem

Solution

Week 48: Maximization Problems

Problem

Solution

Week 49: Arithmetic and Geometric Progressions

Problem

Solution

Week 50: Sequences of Numbers

Problem

Solution

Week 51: Trigonometric Equations

Problem

Solution

Week 52: Parametric Equations

Problem

Solution

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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.