Students who do well in the Abel competition may be invited to one or more international competitions (or international finals). To date, norwegian students participate in three of these.
IMO – The International Mathematical Olympiad
At the IMO, each country may field upwards of six participants. In addition to these are two leaders in charge of selecting and translating problems, grading and "defending" their participants answers to the referees, together with looking after the participants of their contry.
The competitors are given two problem sets, each with three problems, to be solved in four and a half hours. Each problem is worth seven points, so maximal score for the entire competition is 42.
Usually, Norway ends up somewhere in the middle. For us, the competition is mostly individually between the participants, and within the nordic countries. Historically, since we first participated in 1984, Norway has taken all types of medals, including two golds.
The team is sent to a small training camp prior to the olympiad, and they also receive some practice material in the mail ahead of this.
IMO is held in mid-summer every year.
NMC – The Nordic Mathematical Competition
The Nordic Mathematical Competition is held each spring, not long after the Abel Competition finals. Students from Denmark, Finland, Iceland, Norway, and Sweden participate, and the competition is held locally at each school, much like the intial rounds of the Abel competition.
The problem set consists of four problems, one from each of the "traditional areas": algebra, combinatorics, geometry and number theory.
More information is available at the NMC official home page.
Baltic Way is an annual team competition between the baltic countries. This usually includes those countries surrounding the Baltic Sea, and some others (such as Norway). The contest is in memory of the 1989 "Baltic way" demonstration.
The teams consist of five students each. The problem set consists of 20 problems, and the alotted time is four and a half hours. This is a true team contest: discussion and problem solving within the team is allowed and encouraged.
There is no official home page for Baltic Way, but Estonia maintains what may be the most complete web page on BW.
EGMO – European Girls' Mathematical Olympiad
EGMO was arranged for the first time in 2012. Norway participated for the first time 2013, with a team of two.
More information is available on the EGMO home page.