Cheenta Math Olympiad Level 7 program is suitable for IOQM, INMO, AMC 10 and 12 and ISI-CMI Entrances

Course image Algebra AIME δ - 7A - 11032024
Level 7

  • Inequalities - Day 1 - AM-GM, Comparison
  • Inequalities - Day 2 - Weighted AM-GM, Cauchy Schwarz Inequality
  • Inequalities - Day 3 - Chebyshev, Rearrangement, harder problems
  • Functional Equation on Natural Numbers
  • Functional Equation on Real numbers
  • Finite Series and Sequences - AP, GP, Special finite series, Trigonometric series
  • Review and Evaluation

Course image Geometry A8 δ - 7A - 271123
Level 7

  • Complex Numbers in Geometry - Day 1
  • Complex Numbers in Geometry - Day 2
  • Inversion
  • Projective Geometry - Day 1
  • Projective Geometry - Day 2
  • Construction Problems
  • Review and Evaluation

Course image Number Theory A8 δ - 7A - 30102023
Level 7

  • Basics of Congruences, FLT and Euler's Theorem
  • Wilson's Theorem, Linear Congruences and CRT
  • Diophantine Equations

Course image Algebra A8 θ - 7A - 28082023
Level 7

  • System of Linear Equations in 2, 3 Variables
  • 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
  • Review and Evaluation

Course image Combinatorics A8 θ - 7A - 07082023
Level 7

  • Linear, Circular Permutations and Combinations
  • Bijection Principle, Arrangements and Selections with Repetition
  • Binomial, Multinomial Theorem and its coefficients; Pascal's Triangle

Course image Level 7A - General
Level 7

Cheenta Level 7 Math Olympiad Program is suitable for advanced training in mathematics.

Course image Geometry A8 θ - 7A - 190623
Level 7

  • Congruence and Similar Triangles
  • Cyclic Quadrilaterals and Directed Angles
  • Incentre - Excentre Lemma and Problems on Angle Chasing
  • Circles and Power of a Point
  • Lengths and Ratios - Ceva's, Homothety, and Nine Point Circle
  • Assorted Configurations
  • Review and Evaluation

Course image Algebra AIME δ - 7A - 130323
Level 7

  • Inequalities - Day 1 - AM-GM, Comparison
  • Inequalities - Day 2 - Weighted AM-GM, Cauchy Schwarz Inequality
  • Inequalities - Day 3 - Chebyshev, Rearrangement, harder problems
  • Functional Equation on Natural Numbers
  • Functional Equation on Real numbers
  • Finite Series and Sequences - AP, GP, Special finite series, Trigonometric series
  • Review and Evaluation

Course image Number Theory A8 θ - 7A - 010523
Level 7

  • Divisibility - Day 1 - Divisibility, Prime Numbers and Induction
  • Divisibility - Day 2 - GCD, LCM, Parity, Number Bases
  • Power of Integers
  • Floor Function and Fractional Part
  • Digits of Numbers
  • Arithmetic Functions - Number and Sum of Divisors, Euler's Totient Function, Legendre's Formula
  • Review and Evaluation

Course image Combinatorics A8 δ - 7A - 22012024
Level 7

  • The Pigeon Hole Principle and Erdős–Szekeres theorem
  • Principle of Inclusion and Exclusion and GPIE
  • Integer Solutions and Shortest Routes using GPIE; Derangements
  • Basics of Generating Functions; Exponential Generating Function
  • Recurrence Relations; Linear Homogeneous Recurrence Relation
  • Introduction to Graph Theory
  • Review and Evaluation