Investigation 2022-2023

The investigation in NMCC is a mathematical task that the class should explore carefully.

It is possible to solve the problem using various methods and strategies.

Advice will also be given to the teacher about how the work might be organised so that all of the pupils can make a contribution to the work that is undertaken in the class.

Mathematical ideas and procedures can be represented in many ways. We can use casual everyday language and the formal language of mathematics – both in spoken and written forms. We can use concrete materials, models and drawings to highlight a mathematical idea.

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Criteria for assessing the specialisation 

The work done by the class will be assessed by a jury consisting of teachers and mathematicians.

The grounds for the assessment will be:

          A.   A subject report.

          B.   An exhibition, presentable to an ”external audience”.

          C.   An oral presentation of I and II, presentable to an ”external audience”.


The exhibition and oral presentation must be self-contained so that they can be assessed by two different juries respectively.

A Subject report

Formal requirements

The report must

  • be submitted as a Word- or a pdf-document, preferably Word-file (*.docx).
  • be written in 12 pt Times New Roman and with 1.5 line spacing. Headings may have a different size. The page numbers should be centralised at the bottom of the pages.
  • consist of no more than 12 000 characters including spacing.
  • have a front page: Title of the task, competition name (NMCC), year, nation, name of the school and class.
  • have a table of contents with reference to page numbers.
  • have references

The content

The whole class should work on the problem and make a joint subject report.

The content should

      • present to the readers your interpretation of the task
      • be well structured and offer the reader insight into
        • how the class has been working with th problem and how the class has met the challenges during the work
        • the mathematical process and solutions obtained
        • the ay resources have been used, including the teacher and external experts
          during the work
      • the way other resources have been used
  • reflect and give examples upon your own learning

Some characteristics of a good report

  • Provides a brief overview of different methods you have found
  • Goes in depth on a few selected methods with different tools – two or three!
  • Explains the selected methods in detail
  • Use different representations that support each other
  • Demonstrates a willingness to face challenges and work through them

B Exhibition

During the final events, only the four pupils representing the class may prepare and carry out the exhibition.

Formal requirements

  • The content of the exhibition must be brought to the location of the competition by the students. The exhibition can consist of poster(s) and objects places on a table in front of the wall where the poster(s) are exhibited 
  • The poster(s) must fit in a frame size A0 portrait 
  • The text on the posters must have a minimum height of 2 cm and be easy to read
  • The objects must fit on a rectangular table of size 0.5 m2,  usually 1 m long and 50 cm wide

Characteristics of a good quality exhibition

A good exhibition should

  • have an appealing form that catches the attention
  • make both young and older people curious about mathematics

C Presentation

The presenting pupils will have whiteboard or flipover at their disposal. If you want to use a digital presentation you need to deliver it to the host two days before the competition.

Formal requirements

  • The participants must bring any other equipment they might need.
  • During the final event, only the four pupils representing the class may prepare and carry out the presentation.
  • The presentation can last a maximum of 8 minutes.

Characteristics of a good quality presentation

A good presentation

  • has a clear introduction where the pupils outline what they have been working on
  • focuses on the pupils and minimise the use of thecnical equipment
  • shows that the four pupils can convey a mathematical message in a way that captures the attention and interest of the audience
  • demonstrates that the members of the group at the stage understand the mathematics they have been working with and that they have all been participating actively
  • uses simple materials or accessories to highlight the message
  • expresses the message through for example sketches, role-play, ”interviews”, original songs or similar.
    The presentation should not merely consist of reading a script or seems like a speak.



Subject report, maximum 20 points

Up to 1 points can be deducted from a report that does not meet the formal criteria.

Exhibition, maximum 10 points

Up to 1 points can be deducted if the exhibition does not meet the formal criteria.

Oral presentation, maximum 10 points

Up to 1 points can be deducted if formal criteria are not met.