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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [3] while many complete high school without passing Calculus or Statistics.
Algebra includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. Outline of algebra; Glossary of field theory; Glossary of ...
The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test ...
the AMC 12, for students under the age of 19.5 and in grades 12 and below [2] The AMC 8 tests mathematics through the eighth grade curriculum. [1] Similarly, the AMC 10 tests math through the tenth grade math curriculum, and the AMC 12 tests math through the twelfth grade curriculum. [2]
The questions covered a broad range of topics. Approximately 10-14% of questions focused on numbers and operations , 48-52% focused on algebra and functions , 28-32% focused on geometry ( coordinate , three-dimensional , and trigonometric geometry were covered; plane geometry was not directly tested), and 8-12% focused on data analysis ...