There are 10 grades, from 1 to 8, including pre-1st and pre-2nd grades. Selection of class

■1st Grade （High school～general education course in university）
Content of exam ・ Linear algebra
Vector, matrix, determinant, linear conversion, linear planning method, quadratic function, inherent value（capable of switching to opposite angle）
・ Analysis
Differential calculus, basic differential equation, various series
・ Statistics
Probability, probability distribution, estimation, examination, regression distribution, correlation coefficient
・ Computer
Basic programming language and algorithm
・ Mathematical biology, geology, science, physics, etc.
Outline of skills Mathematical skills required to promote development of information science-oriented society, conservation of biological environment, and economic activities according to plans
(1)Apply various rules by making full use of diverse mathematical skills closely related to nature
(2)Organize materials, analyze data, and draft plans effectively using computers, etc.
(3)Manage information on environment and economy
■Pre-1st Grade （1st～3rd grade in high school）
Content of exam Function and limit, differential calculus, basic integral calculus, matrix and calculation, simple curve, basic numerical calculation, basic statistics processing, measurement, computer utilization, basic chaos phenomena, etc.
Outline of skills Mathematical skills required to quickly and accurately process issues and problems which arise in information science-oriented society
(1)Understand and express the characteristics of changes in natural and social phenomena
(2)Perform basic information processing
(3)Measure local and office environments
■2nd Grade （3rd grade in junior high school～2nd grade in high school）
Content of exam Exponential function, trigonometric function, equation of circles, differential coefficient and derived function, three-dimensional vector, complex number and solution of equations, probability distribution, computer function and various calculation programs, etc.
Outline of skills Mathematical skills required to rationally process issues and problems which arise in daily life and work
(1)Create complex graphs
(2)Understand the characteristics of information and establish grouping and standards
(3)Plan material and product schedules
■Pre-2nd Grade （2nd grade in junior high school～1st grade in high school）
Content of exam Quadratic function and graphs, trigonometric ratio, number of cases, basics on probability, formula, figure processing, progression, computer operation, simple calculation, flowchart, basic fractal, basic quality control, historic perspective of mathematics, etc.
Outline of skills Mathematical skills required to accurately process problems in daily life and social activities
(1)Draw graphs and figures
(2)Select and organize information
(3)Perform quality control of materials and products
■3rd Grade （1st～3rd grade in junior high school）
Content of exam Square root, expansion of formula and factorization, prime factorization, quadratic equation, Pythagorean theorem, property of circle, sector of circles, property of sphere, similarity (ratio) between shapes, size ratio, volume ratio, simple quadratic function, simple statistics, probability, etc.
Outline of skills Basic mathematical skills useful in performing creative activities in the society
(1)Design and calculate simple structures
(2)Calculate diagonal length, and cut and act without wasting materials
(3)Indicate products and social phenomena in simple statistical figures
■4th Grade （6th grade in elementary school～2nd grade in junior high school）
Content of exam Addition, subtraction, multiplication, and division of simple formula using characters (x, y, z), use of formula with characters and transformation of equation, linear inequality, simultaneous equation, property of parallel lines, ratio of parallel line and line segment, condition of congruent triangles, property of four-sided figure, conditions of similarity between shapes, linear function, binary system, approximate value and error, frequency distribution and histogram, mean value and scope, correlation figures and correlation charts, etc.
Outline of skills Basic mathematical skills useful in acting independently and rationally in the society
(1)Indicate the relations of 2 things rationally using formula with characters
(2)Calculate materials when enlarging and reducing pictures, maps, and printed matter
(3)Indicate simple information with histogram, etc.
■5th Grade （5th grade in elementary school～1st grade in junior high school）
Content of exam Addition, subtraction, multiplication, and division including negative figures, formula using characters (x, y, z), linear addition and subtraction, linear equation, basic construction, parallel transfer, symmetrical transfer, rotational transfer, positional relation of three-dimensional straight line and plane, structure of one-dimensional figure, cross section of three-dimensional figure, projection, expansion, right angle coordinates, proportion and inverse proportion including negative figures, etc.
Outline of skills Basic mathematical skills useful in dealing with social changes
(1)Understand negative figures and indicate in graphs the actual positive and negative changes in social phenomena
(2)Draw basic figures accurately
(3)Indicate relational changes between 2 things using straight lines
■6th Grade （4th～6th grade in elementary school）
Content of exam Proficiency in addition, subtraction, multiplication, and division including fraction, transfer of basic figures, understanding symmetry, understanding basic units, ratio, proportion and inverse proportion, material organization, understanding simple measuring and weighing, etc.
Outline of skills Arithmetical skills with operation useful in daily life
(1)Measure liquid, etc. in containers
(2)Calculate actual size and area on maps
(3)Indicate relationships between 2 things by ratio and graphs
(4)Organize simple materials and compile charts
■7th Grade （3rd～5th grade in elementary school）
Content of exam Addition, subtraction, multiplication, and division of integer and decimal, understanding basic figures such as triangles, squares, and circles, calculation of size and volume, basic graphs, understanding percentage and ratio, relations between time and distance, etc.
Outline of skills Arithmetical skills useful in daily life
(1)Count values and numbers of coins, as well as calculate and exchange money without mistake
(2)Indicate comparison of numbers and volumes of multiple things in pie charts, etc.
(3)Calculate consumption tax, etc.
■8th Grade （2nd～4th grade in elementary school）
Content of exam Basic addition, subtraction, multiplication, and division of integer and decimal, calculation of size of rectangles and squares, understanding basic three-dimensional figures, understanding size of angles, parallel and perpendicularity, understanding relations between 2 quantities which change in relation with each other, etc.
Outline of skills Basic arithmetical skills useful in daily life
(1)Compare population of prefectures
(2)Calculate the size of rooms and houses
(3)Calculate prices from unit price