This is known as the famous box-principle or pigeon-hole principle. This is used in all Mathematical Olympiad examinations under the head combinatorics as it tests the logical and analytical skills of contestants.

Outcomes:Logical skill development

In any game the results are put up in a table. Here we focus on soccer and its rules. The numbers under each head, likes number of games won, lost, points etc., have some inherent properties. These are used to answer questions regarding the partially filled table with some game outcomes given. We can even answer questions regarding the game outcomes. This is similar to magic squares, sudoku, in that we fill cells with numbers based on the conditions of the game.

Outcomes: Logical analysis

Here we assume that a frog jumps in equal leaps on a number line. Assuming the starting point as 0 we can get numerous properties of multiples, greatest common divisor of numbers. If the starting point is a positive number, then we see other arithmetic sequences and properties thereof.

Outcomes: GCD, LCM and its properties

Fundamental counting principles like addition and multiplication principles are introduced. Using ten simple tips, effective counting methods are introduced. Problems using these principles in Arithmetic, Combinatorics, and other fields are discussed. Over and under counting are discussed so that students can avoid these pitfalls.

Outcomes: Counting skills development.

Through storytelling, several mathematical concepts and techniques can be realised. From comparing fractions in numerous and different methods to a mean value theorem, stories can be designed to create a joy and new dimensional thought about these facts.

Outcomes: Realising lot of maths in real life situations and its application in daily activities.

There are occasions where certain problems from elementary to higher level can be solved through a mere tabulation but with an appropriately defined header. This topic focusses on such solving process and exhibits the power of defining and tabulation.

Outcomes: Develops the skill of looking into alternate ways of solving other than the usual.

This is a simple two player number game where one player (say) A thinks of a number of a specified length and the other one (say B) need to make guesses. For every guess made by B, A gives hints in the form of number of cows and number of bulls with a relevant meaning for the same, as defined in the game. Player B has to think more logically as more hints are provided but should guess the complete number within limited number of trials (mostly 8 trials). This is similar to the famous Master Mind game.

Outcomes: Emphasises the need of strategical thinking in situations of suspense and hints.

A Polygon can be dissected in many interesting manners based on its shape and dimension. This topic in Geometry is innovative. Given a polygon with certain characteristics, how to dissect it into a given number of objects, typically, triangles, special quadrilaterals etc. The question may be to dissect it with least number of cuts or least number of objects. Many interesting problems gives an insight into dissection patterns and also gives an idea of induction-based dissection, nice designed shapes, etc…

Outcomes: Understanding properties of polygons, learning visualization and develops two-dimensional spatial intuition.

An innovative way of developing algebraic identities using sport events.

Outcomes: Imbibes the synchronisation of thought process.

An interesting way of realising algebra through posting letters in a post box.

Outcomes: Strong observations of binary patterns and coding in real life.

Fundamental concepts like, lines, rays, segments, angles, parallel lines, parallel postulate, triangles are introduced. Invariance properties of the sum of the angles of polygons are presented and proved. Three dimensional figures and platonic solids and their properties are introduced. An approach to geometry problem using fundamental six tips is introduced. Problems using these ideas are solved.

Outcomes: Basic Geometric skills, Solving simple problems in Geometry in multiple ways.

When percentages are used in profit and loss problems, we can solve these using pages of ruled note-books. We start with 0% on a line and 100% is the Cost Price line. Here again the use of algebra is avoided. Quick calculation is the result of this procedure.

Outcomes: Profit and Loss problems solutions; Skills required for competitive exams.

The two important characteristics of any 2D shaped closed figure are area and perimeter. This topic deals with variety of interesting problems on these two characteristics.

Outcomes: Problem solving skill enhancement.