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The competition is three hours long. There are five questions on the CMO, each worth seven marks, for a total of 35 points. Each problem is graded the same way as it is on the IMO. From 1969 to 1972, the CMO was ten questions long. In the 1970s, the exam length changed a number of times before finally stabilizing to five questions in 1979.
Source: "The purpose of this paper is to answer Dyer's question in the negative by the construction of a pair of commuting functions which have no fixed point in common. This paper is a condensation of the author's 1967 doctoral dissertation", from a paper by Boyce .
Millennium Prize Problems; Birch and Swinnerton-Dyer conjecture; Hodge conjecture; Navier–Stokes existence and smoothness; P versus NP problem; Poincaré conjecture (solved) Riemann hypothesis; Yang–Mills existence and mass gap
The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
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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.
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