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Multiple choice questions lend themselves to the development of objective assessment items, but without author training, questions can be subjective in nature. Because this style of test does not require a teacher to interpret answers, test-takers are graded purely on their selections, creating a lower likelihood of teacher bias in the results. [8]
American Mathematics Contest 8 (AMC->8), formerly the American Junior High School Mathematics Examination (AJHSME) Math League (grades 4–12) MATHCOUNTS; Mathematical Olympiads for Elementary and Middle Schools (MOEMS) Noetic Learning math contest (grades 2-8) Pi Math Contest (for elementary, middle and high school students)
The paper in Round 1 comprises 5 multiple-choice questions, each with five options, and 30 short answer questions until 2017. From 2018 onwards, The paper has 20 short answer questions instead. The Junior section is geared towards Lower Secondary students, and topics tested include number theory, combinatorics, geometry, algebra, probability ...
It contains 8 multiple-choice questions, and 4 open questions. The second round takes place at twelve different universities. It contains 5 questions where the answer is a certain number and 2 open questions. There are a few optional training days and then the third round takes place at the Eindhoven University of Technology. It contains 5 open ...
The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
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.
In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of ...
Problems 1, 2, 5, 6, [a] 9, 11, 12, 15, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [b] unresolved. Problems 4 and 23 are considered as too vague to ever be described as solved; the withdrawn 24 would also be in ...