Topics in Level 3

Several interesting non-routine problems are dealt with in this familiar topic.

Outcomes: Exploration of learning the unknown challenges in a familiar topic.

This is a game of building numbers from given conditions, with limited usage of arithmetic symbols, but unlimited usage of arithmetic operators and functional characters like factorial, square root, floor, ceiling, concatenation.

Outcomes: Constructing functions and realizing its usage of different kinds.

Geometric configurations of specified characteristics are generated based on the given input. Configuration could be arithmetic also.

Outcomes: Logical reasoning skill

This is famously known as In variance Principle in the pure math circuit. Interesting problems using these principles in several fields are discussed.

Outcomes: Recognizing famous scientific laws, mathematical theorems, and properties as in variance facts in a varying system.

Through several types of grids, mathematical concepts can be realized. The topic emphasizes this idea and also tests through variety of problems.

Outcomes: Builds up the skill of developing theories by means of grid visualization.

Very interesting facts about the geometric shapes are discussed in this topic.
It poses questions related to this idea and thereby provides opportunity to discover shape properties of geometric figures while answering.

Outcomes: Gives a broader perception about geometric shapes.

This topic poses variety of problems on weighing masses where answering involves logical conclusions at each step.

Outcomes: Improves the logical thinking skill.

This topic in Geometry is of new kind where the focus is on estimation of length, area, angle measure, volume, etc., not necessarily the exact value.

Outcomes: Develops estimation skill set.

There is content symmetry in algebraic expressions that makes it special.
There is also geometric symmetry where the object is invariant and not affected due to transformation such as reflection, rotation, etc.,

Outcomes: Gives an insight into symmetry.

Several algebraic problems that require usually unknowns such as x, y, z, etc., can be solved without the use of even a single variable. This creative technique is illustrated in this topic.

Outcomes: Builds manipulative techniques and develops non-routine thinking.

Two or more players play number games following the rules with a specific winning target. Problems are mostly on the winning strategy of a player in the game.

Outcomes: Emphasize the importance of mathematics theory in developing strategy.

There are numerous special equations that cannot be solved by ordinary ways.
It requires special techniques to solve such equations.
These are illustrated in this topic.


Outcomes: Develops very good observation and higher order thinking.

Unfamiliar but very useful applications of ratios and proportions in solving problems are discussed in this topic.

Outcomes: Problem solving skill enhancement.

Congruency and similarity - two important characteristics of certain geometric shapes, not necessarily triangles, are discussed in detail both on concepts and its applications.

Outcomes: Deeper understanding of the concepts and their applications.

Using ten simple tips, effective counting methods were introduced earlier in basic counting. The same tips are used effectively and innovatively in solving problems here.

Outcomes: Assimilating several techniques in counting.

Introduction of coordinate geometry with coordinates as an identity of a point in a plane or space. We discuss elegant solving methods, more from a geometric sense, to problems in coordinate geometry.

Outcomes: Develops elegant problem-solving skills.

Basic Trigonometric ratios and properties are introduced. Interesting problems are solved.

Outcomes: Effective usage of trigonometric formulae.

Introduction of the necessity of measures of central tendency and measures of dispersion.
Illustrates how the concept itself helps in developing varied techniques in the solution process.

Outcomes: Establishes the fundamental basis of statistics.

Topic explains about modulo theory (an important branch of number theory) and its applications. Very interesting problems are dealt with.

Outcomes: Learning the power of cyclic remainders in number theory.

This is a very powerful creative tool in factorization of algebraic expressions and the theory of polynomials.

Outcomes: Speed of solving is enhanced.