The European Mathematical Cup (EMC) is held every year in December in the cities all over (but not limited to) Europe. The purpose of EMC is to prepare high school students for other international competitions and to give them a chance to solve a few, hopefully, nice and challenging problems.
EMC is an open competition. Therefore, non-European countries may participate in the competition as well.
The competition can be organised on any of the 9 days determined by the Central Jury, which include 2 full weekends, of the competition. The exact date varies by location and is usually chosen to be the most suitable within the given time-frame.
The EMC is free and open to all high school students. Any attempt of charging the students for participation in the competition is strongly prohibited and will result in disqualification and loss of the local organizer status.
The European Mathematical Cup is organized by the association Young Gifted Mathematicians “Marin Getaldić” in coordination with local organizers who are responsible for the competition in their city. Requirements for local organizers are described in clause 3.
Any number of contestants from a single location is allowed to participate but the following limitations exist:
- A local organisation can have more than 15 contestants per category if they mark the surplus of contestants themselves according to the rules set in section 3.
- A maximum number of contestants from a single country that can be included in Official Results list is 20. The surplus of the contestants will be listed in the Unadjusted Results list.
Contestants are allowed to participate in EMC if they are eligible for the next year’s IMO.
The EMC is divided in two categories: Junior and Senior.
- A student can participate in the Junior category if they are less than 17 years old on the day of contest, and they haven’t yet participated in the IMO.
- Any student who is eligible to participate in the EMC can participate in the Senior Category.
- Local organizers may set additional criteria for students to participate in the Junior category, in agreement with the Central Jury
3. Local organizers
Local organizers are people or organisations organizing EMC in their city. (In particular, local organizers are usually university students or mathematics professors). We are usually asking them to do the following:
- Before the contest, they should inform all the potential contestants about the competition and its regulations. They should choose where and when the contest will be held and make all the necessary arrangements.
- To organize the contest. If the contest is being held live (usually in a classroom in a local school or university) they hand the problem sheets to contestants (translated to their language if necessary). If the contest is not being held live, the contest should be held via a Google Meet videocall; all of the contestants must be in the same call as the local organizer and their desk should be clearly visible. The organizers should send the (translated, if necessary) problems to contestants via e-mail a few minutes before the competition starts. The contestants should then print the problems. If they do not have a printer, they should copy them on a piece of paper. If the contest cannot be held neither live nor via Google Meet, the local organizer must contact us and suggest an alternative way to hold the competition. We ask of the local organizers to ensure that contestants follow the rules.
- After the contest they should collect contestants’ solutions or scans (a legible photographic image is perfectly fine) and send them to the Central Jury. We ask them to attach (not necessary detailed) translations of those parts of contestants’ work they consider might be worth marks. The translations should be in English or Croatian language and Latin script; all parts of students’ work, not translated in this fashion, will not be marked.
- We expect to receive the scripts, which are to be marked by the Central Jury, no later than 5 days after the last day of the competition.
- For local organizers who decide to mark all or part of their students work, we will provide detailed marking schemes of all solutions known to the Central Jury, soon after the last day of the competition. We still expect to receive scans of locally marked scripts no later than 8 days after the last day of the competition. We ask that all parts of student’s work which were awarded marks are translated so the Central Jury can ensure the uniformity of the marking. We encourage the local organizers to mark the problems themselves in order to make the coordination process easier.
Additionally, we invite local organizers to help us by proposing problems. The idea of EMC is that all the problems are original (not already seen on the Internet or some other competition), so we invite local organizers to send us problem proposals. The problems not selected for the competition are kept confidential. It is allowed to propose problems which are not entirely original, but in such cases we require the full background of such a problem including whether it has appeared on another competition.
4. Contest regulations
(Contest regulations are very similar to the IMO contest regulations.)
Each contestant may receive the problems in one or two languages subject to the local organizers.
Each contestant must work independently and submit solutions in his/her own language or in English (depending on the local organizers). We ask contestants to write on only one side of plain A4 paper. Students are expressly forbidden to write attempts at different problems on the same sheet. Each paper should contain students name, location, category, number of the problem and page number.
The only instruments permitted in the contest will be writing and drawing instruments, such as rulers and compasses. In particular, books (with exceptions of dictionaries if writing in English), papers, tables, calculators, protractors, computers and communication devices are not to be allowed.
The local organizers should do their utmost to ensure that no contestant has any information, direct or indirect, about any proposed problem. They must also ensure that all contest problems and solutions are kept strictly confidential until after the entire contest has finished.
6. Coordination and results
For each problem, a contestant will receive an integer score out of a maximum of ten points.
As soon as possible after the contest, local organizers will receive preliminary results. When the preliminary results of the competition are announced, a contestant can raise an objection with his local organizer, assuming the local organizer agrees with the objection he can forward it to the Central Jury within a week of receiving preliminary results. In this case the Jury will reconsider the contestant’s solution and contact the local organizer or the contestant for further clarification if necessary..
When the procedure of raising objections and reconsideration of the awarded marks is finished, the preliminary results become final. They will be published on the official site of EMC and sent to local organizers at most two weeks after receiving preliminary results.
7. Prizes, medals and certificates
Some of the contestants are awarded prizes and medals, according to the following rules. We say a contestant is a candidate if there are no more than 5 students from the same country and category with more points. Then, for each category separately, we form a list with 6 of the best candidates from each country (we will call this a cut-list). We then give prizes to candidates so that approximately half of the contestants from the cut-list win a prize, and the numbers of first, second and third prizes are approximately in the ratio 1:2:3. The top 3 candidates from each category are also awarded medals (via post).
Contestants which aren’t candidates but are among the top 20 in their country are listed in the Official Results list. All of the contestants are listed in the Unadjusted Results list. Every contestant can also request a certificate of participation.
A country’s score is defined, for each category separately, as the sum of scores of contestants from the cut-list. A country’s total score is then the sum of the country’s scores in the two categories.