1. Arithmetic - the study of numbers, subtraction, multiplication and division.
2. Algebra - the study of mathematical symbols and the rules for manipulating these symbols.
3. Geometry - the study of shape, size, relative position of figures, and the properties of space.
4. Trigonometry - studies relationships involving lengths and angles of triangles.
5. Topology - studies properties of space that are preserved under continuous deformations.
6. Progressions - sequence of numbers, when any two successive members of the sequence is a constant.
7. Averages - the sum of a list of numbers divided by the number of numbers in the list.
8. Fractions - represents a part of a whole or, any number of equal parts.
9. Percentages - a number or ratio expressed as a fraction of 100.
10. Analysis - the branch of mathematics dealing with limits, such as differentiation, integration, measure, infinite series, and analytic functions.
11. Statistics - the study of the collection, analysis, interpretation, presentation, and organization of data.
12. Combinatorics - the study of finite or countable discrete structures, patterns and forms.
13. Logic - the systematic study of the form of arguments.
14. Probabilities - the measure of the likelihood that an event will occur.
15. Game Theory - the study of mathematical models of conflict and cooperation between intelligent rational decision-makers.
16. Informatics - the science of information and computer information systems.
17. Pure Mathematics - studies quantity, structure, space and change of numbers.
18. Calculus - the skill and ability to manipulate numbers.