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

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
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