Math Study Guide

Basic Mathematical Operations

Arithmetic and Logic

Fundamental arithmetic operations and logical reasoning.

Exponentiation

Problems involving power operations.

Find the Winner

Problems determining the winner in various game scenarios.

Factorization

Problems involving factorials and related concepts.

Permutations

Problems related to permutations and sequences.

Prime Numbers

Problems involving prime numbers and related algorithms.

Sieve of Eratosthenes

An efficient algorithm for finding all prime numbers up to a given limit.

Square Numbers

Problems involving perfect squares and related concepts.

Geometry

Problems involving geometric concepts and calculations.

Square Properties

Understanding and utilizing properties of squares.

Number Systems and Representation

Roman Numerals

Problems involving conversion between Roman and Arabic numerals.

Number Manipulation

Problems involving manipulation and analysis of numeric values.

Graph Theory

Mathematical problems related to graph structures.

Special Graph Structures

Problems involving unique graph configurations.

Problem Difficulty Legend

  • 🟩 Easy
  • 🟨 Medium
  • 🟧 Medium-Hard
  • 🟥 Hard
  • ⬛ Very Hard

Additional Resources