[Japanese Version]

Introducing TOMAC

Welcome to TOMAC's official website! TOMAC (Test Of Mathematical Competence) is a mathematical test based on score. Unlike other mathematical tests, TOMAC doesn't have the notion of pass or fail. Instead, the examinee's mathematical ability will be measured by score. Since the score will be the proof of capability in mathematics, some companies and schools uses TOMAC for the entrance examination. Unfortunately, this test is given exclusively in Japan. Currently, there is no web based registration. For more information please contact us by e-mail to info.

The Six Characteristics of TOMAC

1. Presents mathematical profiency by score

As mentioned above, TOMAC doesn't have the notion of passing or failing the test. The test result will be estimated as score/grade. For more details, please refer to the "Details of Grades and Scores" section below. The score is reliable since it's converted on absolute scale and based on the criteria of Item Response Theory. From this score, the examinees will know their level of mathematical profiency, and thus be the solution for enriching mathematical skills in future.

2. Discover examinee's arithmetical potentiality

In order to acquire mathematical abilities, it's important for each person to discover the potential abilities of mathematics. TOMAC emphasize this and therefore, each problem has the factor of deriving ones such abilities.

3. Unique listening problems

Unique mathematical listening problems are given during the test.

4. License card styled certificate

Examinees could carry their certificate easily, since its size fits in the wallet perfectly like the other license cards. We also issue the "Score Certificate" to prove the participants' ability for school/employment admissions.

5. Issue of the detailed report

The detailed report of the test will be sent with the certificate described above. Not just indicating the scores, this report will also present the examinee's mathematical ability from five aspects: calculation, making relational formula of quantity, shapes, analyzation/reasoning and processing information to mathematics. These analyzation will help examinee to strengthen their mathematical abilities.

6. Participation in volunteer activities

Part of the test fee will be donated to support volunteer activities and mathematical research institutes.

Details of Grades and Scores

The grades and scores table

Grade Mathematical Level Score
A I - Second grade of elementary school in Japan - 100 -
A II - Fourth grade of elementary school in Japan - 200 -
A III - Sixth grade of elementary school in Japan - 300 -
B I - Second grade of junior high school in Japan - 400 -
B II - Third grade of junior high school in Japan - 500 -
C I - First grade of high school in Japan - 600 -
C II - Second grade of high school in Japan - 700 -
C III - Third grade of high school in Japan - 800 -
D - University level in Japan - 900 -

Note: All of the criteria of each grade is based on Japanese mathematical curriculum decreed by the Japanese Ministry of Education, Culture, Sports, Science and Technology.

Details of the score system

  • The problems for grades A I to C II will be mostly based on the Japanese Ministry of Education, Culture, Sports, Science and Technology's pedagogy for Japanese schools. Grades D will be based on university education level in average with a few arithmetical potentiality problems.
  • There will be a listening problem in grades A II to D.
  • To solve the arithmetical potentiality problems, the knowledge of particular mathematical fomula wouldn't be required. A "mathematical sense" will be required instead.
  • 30 descriptively problems will be made ready for A I and A II grades.
  • 30 to 40 computer-scored answer sheet problems will be ready for A III to D grades. The answers to all the questions will be using number 0 to 9, + and -.
  • The problems will not be open to the public in principle.
  • To estimate the examinees' mathematical ability in accurate, the will be no need of pre-studies. It is important to select the right grade for the accurate score.
  • We don't allow taking two grades in the same examination.
  • The score won't be changed by the level of the examinees or problems; it's an absolute evaluation. Therefore, by taking TOMAC regularly, the change in examinees' mathematical ability will be easily shown.

Prof. Satoshi Kawanobe

Prof. Toshio Sawada

Prof. Yasuo Iwai

Who We Are

TOMAC is administrated by The Society for Mathematics and Science Certification (Surikentei Kyokai) in Japan. Since the establishment in 1995, the mission was to cultivate mathematical ability for Japanese people. Before the birth of TOMAC, there was no mathematical test that measures such ability by scores; the notion of scoring mathematical test was such a revolution in Japan. Hoping to extend people's potential abilities of mathematics. Besides TOMAC, we also prepare a custom-made mathematical test for schools and companies in Japan.

Introduction of the board member

Chairman Satoshi Kawanobe Honorary member of National Institute for Educational Policy Research
Vice-chairman Toshio Sawada Honorary member of National Institute for Educational Policy Research
Professor of Tokyo University of Science
Vice-chairman Yasuo Iwai Professor of Hokkaido Institute of Technology
Commissioner Jun'ichi Yamamoto Professor of Keio University
Commissioner Takeshi Kawazoe Professor of Keio University
Commissioner Katsunori Sanada Professor of Tokyo University of Science
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