The following is a collection of selected math problems categorized into topics and student levels by tags. The topics are Arithmetic, Algebra, Geometry & Trigonometry, Combinatorics & Probability, Analysis, and Miscellaneous. Problems of junior, senior, and advanced levels are applicable to students from grade 6 and above, from grade 9 and above, and college students and beyond respectively.

These problems are very useful for practicing math competitions (MOEMS, MATHCOUNTS, Math League, Bergen County Academies Math Competition, AMC 8 /10 /12, AIME, USAMTS, NYCIML, NYSML, ARML, Putnam, etc.), SHSAT Math & Logic, SAT Math, SAT subject tests in Math Levels 1 and 2, AP Calculus AB and BC Exams, and even technical job interviews.

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