For IOQM and AMC 10 - Year 1

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 6U - general
Level 6

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

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 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

Course image Geometry IOA θ - 6B - 030423
Level 6

  • Triangular Inequality
  • Congruences and Parallel Lines
  • Properties of Triangles
  • Similar Triangles
  • Ceva's and Menelaus theorem
  • Mathematical Games
  • Review and Evaluation

Course image Geometry IOA θ - 6U - 060323
Level 6

  • Triangular Inequality
  • Congruences and Parallel Lines
  • Properties of Triangles
  • Similar Triangles
  • Ceva's and Menelaus theorem
  • Mathematical Games
  • Review and Evaluation

Course image Level 6 - One-problem-a-day
Level 6

This module is suitable for Mathematical Olympiads (IOQM, AMC 10-12) and ISI-CMI Entrance. Spend 15 minutes per day to achieve byte size learning. 

  • Number Theory
  • Algebra
  • Geometry
  • Combinatorics