XV GEOMETRICAL OLYMPIAD IN HONOUR OF
I.F.SHARYGIN
The correspondence round
Below is the list of problems for the first (correspondence) round of the XV Sharygin
Geometrical Olympiad.
The olympiad is intended for high-school students of four eldest grades. In Russian school,
these are 8-11. In the list below, each problem is indicated by the numbers of Russian school
grades, for which it is intended. Foreign students of the last grade have to solve the problems
for 11th grade, students of the preceding grade solve the problems for 10th grade etc. However,
the participants may solve problems for elder grades as well (solutions of problems for younger
grades will not be considered).
A complete solution of each problem costs 7 points. A partial solution costs from 1 to 6
points. A text without significant advancement costs 0 points. The result of a participant is the
sum of all obtained marks.
First write down the statement of the problem, and then the solution. Present your solutions
in detail, including all necessary arguments and calculations. Provide all necessary figures of
sufficient size. If a problem has an explicit answer, this answer must be presented
distinctly. Please, be accurate to provide good understanding and correct estimating of your
work !
If your solution depends on some well-known theorems from standard textbooks, you may
simply refer to them instead of providing their proofs. However, any fact not from the standard
curriculum should be either proved or properly referred (with an indication of the source).
You may note the problems which you liked most (this is not obligatory). Your opinion is
interesting for the Jury.
The solutions for the problems (in Russian or in English) must be delivered not before
December 1, 2018 and not later than on March 1, 2019. To upload your work, enter the
site https://contest.yandex.ru/geomshar/, indicate the language (English) in the right
upper part of the page, press "Registration"in the left upper part, and follow the instructions.
Attention:
1. The solution of each problem (and of each part of it if any) must be contained in a
separate pdf, doc, docx or jpg file. If the solution is contained in several files then pack them
to an archive (zip or rar) and load it.
2.We recommend to prepare the paper using computer or to scan it rather than to photograph
it. In all cases, please check readability of the file before uploading.
3. If you upload the solution of some problem more than once then only the last version is
retained in the checking system. Thus if you need to change something in your solution
then you have to upload the whole solution again.
If you have any technical problems with uploading of the work, apply to geomshar@yandex.ru
(DON’T SEND your work to this address).
The final round will be held in July–August 2019 in Moscow region. The winners of the
correspondence round are invited to it if they don’t graduate from school before. (For instance, if
the last grade is 12 then we invite winners from 9–11 grades, and from 12 grade if they finish their
school education later.) The graduates, winners of the correspondence round, will be awarded
by diplomas of the Olympiad. The list of the winners will be published on www.geometry.ru
at the end of May 2019 at latest.
If you want to know your detailed results, please use e-mail
geomshar@yandex.ru.
LINK
https://drive.google.com/file/d/1V3_aWsHQMiqDtXQi4ejv3SCDatm6bOry/view
LINK PRINCIPAL WEBSITE
https://imogeometry.blogspot.com/p/sharygin-geometry-olympiad.html
