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The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 0 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.
The paper lasts 3½ hours, and consists of six questions (from 2005), each worth 10 marks. [3] The exam in the 2020-2021 cycle was adjusted to consist of two sections, first section with 4 questions each worth 5 marks (only answers required), and second section with 3 question each worth 10 marks (full solutions required).
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
The 43rd International Mathematical Olympiad: A Reflective Report on IMO 2002 (PDF). Computing Science Report, Vol. 2, No. 11. Faculty of Mathematics and Computing Science, Eindhoven University of Technology. Djukić, Dušan (2006). The IMO Compendium: A Collection of Problems Suggested for the International Olympiads, 1959–2004. Springer.
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 individual competition consisted of seven questions of varying value, worth a total of 14 points, that students had 40 minutes to answer. The team competition was a proof-based competition, where many questions were asked about a particular situation, and a team of four students was given 60 minutes to answer. [4]