OMK

NUMBER THEORY

• ·         Prime Number
• ·         Fundamental Theorem of Arithmetic (FTA)
• ·         Factorization
• ·         Divisibility Test
• ·         Last Digit Analysis
• ·         Diophantine Equations

 
GEOMETRY

• ·         Point and Lines
• ·         Angles
• ·         Similar Figure
• ·         Area
• ·         Circles
• ·         Triangle
• ·         Cyclic Quadrilaterals

ALGEBRA

• ·         Number Set and Notations
• ·         Difference of Powers
• ·         Sum of Powers
• ·         Arithmetic and Geometric Sequence
• ·         Telescoping Sums and Products
• ·         Cauchy-Schwarz Inequality
• ·         Mean Inequality

COMBINATORICS

• ·         Clever Counting
• ·         Permutations and Combinations
• ·         Binomial Theorem
• ·         Binomial Coefficients
• ·         Fibonacci Number
• ·         Bijective Proof
• ·         Pigeonhole Principle