For IOQM and AMC 10 - Year 1

Course image Geometry IOA δ - 6C - 25092023
Level 6

  • Area of Triangles and Volume
  • Basics of Circles - IAT
  • Tangent to Circles - AST, Pitot's Theorem
  • Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
  • Miscellaneous problems on Triangles and Circles
  • Construction Problems
  • Review and Evaluation

Course image Combinatorics IOA δ - 6A - 18092023
Level 6

  • Principle of Inclusion and Exclusion and Derangements
  • Recurrence Relations
  • Introduction to Graph Theory

Course image Algebra IOA θ - 6B - 28082023
Level 6

  • Inequality - Basic inequalities and Cross multiplication method
  • Inequality - AM-GM-HM inequality proof, Cauchy Schwarz inequality, Transformation
  • Measures of Central Tendency
  • System of Linear Equations in 2, 3 variables ; Matrices and Determinants
  • Finite Series and Sequences - AP, GP, Special Finite series and Telescoping series
  • Finite Series and Sequences - Trigonometric series and Summations with Binomial coefficients
  • Review and Evalutation

Course image Geometry IOA δ - 6U - 21082023
Level 6

  • Area of Triangles and Volume
  • Basics of Circles - IAT
  • Tangent to Circles - AST, Pitot's Theorem
  • Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
  • Miscellaneous problems on Triangles and Circles 
  • Construction Problems
  • Review and Evaluation

Course image Combinatorics IOA θ - 6C - 07082023
Level 6

  • Linear and Circular Permutations
  • Combinations and Bijection Principle
  • Arrangements and Selections with
    Repetition - Stars and Bars

  • Binomial Theorem and its Coefficients,
    Pascal Triangle

  • Hockey Stick Identity,
    Multinomial Theorem and its Coefficients

  • Pigeon - Hole Principle and
    Constructive Counting

  • Review and Evaluation


Course image Geometry IOA δ - 6A - 31072023
Level 6

  • Area of Triangles and Volume
  • Basics of Circles - IAT
  • Tangent to Circles - AST, Pitot's Theorem
  • Cyclic Quadrilaterals - Pedal line and Ptolemy's Theorem
  • Miscellaneous problems on Triangles and Circles 
  • Construction Problems
  • Review and Evaluation

Course image Number Theory IOA δ - 6U - 31072023
Level 6

  • Problems on Parity and Power of Integers
  • Greatest Integer Function and Digits of Numbers
  • Arithmetic Functions - Number and Sum of Divisors, Euler's Totient Function


Course image Number Theory IOA δ - 6A - 100723
Level 6

  • Problems on Parity and Power of Integers
  • Greatest Integer Function and Digits of Numbers
  • Arithmetic Functions - Number and Sum of Divisors, Euler's Totient Function

Course image Combinatorics IOA θ - 6B - 100723
Level 6

  • Linear and Circular Permutations
  • Combinations and Bijection Principle
  • Arrangements and Selections with
    Repetition - Stars and Bars

  • Binomial Theorem and its Coefficients,
    Pascal Triangle

  • Hockey Stick Identity,
    Multinomial Theorem and its Coefficients

  • Pigeon - Hole Principle and
    Constructive Counting

  • Review and Evaluation

Course image Level 6 Introduction
Level 6

Welcome to Cheenta Level 6, advanced mathematics program. This is suitable for 

  • IOQM
  • AMC 10 and 12
  • ISI-CMI Entrances

This is the Induction module of this program. Students usually attend it at the beginning of the course.

Course image Level 6A -general
Level 6

This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Level 6B - general
Level 6

This program is useful for AMC 10, 12, IOQM, ISI - CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Level 6C - general
Level 6

This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Level 6U - general
Level 6

This program is useful for AMC 10, 12, IOQM, ISI- CMI Entrances University of Waterloo Contests, UKMT, SMO.

Course image Algebra IOA δ - 6U - 120623
Level 6

  • Polynomials - Division Algorithm, Remainder and Factor Theorem, Vieta's Formula, FTA
  • Polynomials - Rational Root Theorem, Reciprocal and Symmetric Polynomial
  • Polynomials - Harder problems on Polynomials
  • Complex Numbers in Algebraic Form
  • Complex Numbers in Trigonometric Form and nth Roots Unity
  • Basic Functional Equations
  • Review and Evaluation

Course image Number Theory IOA θ - 6B - 220523
Level 6

  • Basic Principles in Number Theory -
    Well ordering Principle, Mathematical
    Induction, Divisibility - Division Algorithm

  • GCD, LCM, Bezout's Lemma, Euclidean Algorithm
  • Prime Numbers - FTA and Number Bases
  • Congruences - Day 1 - Basic properties
  • Congruences - Day 2 - Linear Congruences and CRT
  • Diophantine Equations
  • Review and Evaluation

Course image Number Theory IOA θ - 6C - 120623
Level 6

  • Basic Principles in Number Theory -
    Well ordering Principle, Mathematical
    Induction, Divisibility - Division Algorithm

  • GCD, LCM, Bezout's Lemma, Euclidean Algorithm
  • Prime Numbers - FTA and Number Bases
  • Congruences - Day 1 - Basic properties
  • Congruences - Day 2 - Linear Congruences and CRT
  • Diophantine Equations
  • Review and Evaluation

Course image Algebra IOA δ - 6A - 220523
Level 6

  • Polynomials - Division Algorithm, Remainder and Factor Theorem, Vieta's Formula, FTA
  • Polynomials - Rational Root Theorem, Reciprocal and Symmetric Polynomial
  • Polynomials - Harder problems on Polynomials
  • Complex Numbers in Algebraic Form
  • Complex Numbers in Trigonometric Form and nth Roots Unity
  • Basic Functional Equations
  • Review and Evaluation

Course image Combinatorics - IOA θ - 6A- 030423
Level 6
  • Linear and Circular Permutations
  • Combinations and Bijection Principle
  • Arrangements and Selections with
    Repetition - Stars and Bars

  • Binomial Theorem and its Coefficients,
    Pascal Triangle

  • Hockey Stick Identity,
    Multinomial Theorem and its Coefficients

  • Pigeon - Hole Principle and
    Constructive Counting

  • Review and Evaluation

Course image Combinatorics IOA θ - 6U - 240423
Level 6

  • Linear and Circular Permutations
  • Combinations and Bijection Principle
  • Arrangements and Selections with
    Repetition - Stars and Bars

  • Binomial Theorem and its Coefficients,
    Pascal Triangle

  • Hockey Stick Identity,
    Multinomial Theorem and its Coefficients

  • Pigeon - Hole Principle and
    Constructive Counting

  • Review and Evaluation