Basics of Ratio and Proportion for Competitive Exams

Ratio and proportion form the bedrock of quantitative aptitude, appearing in almost every competitive exam and real-world numerical problem. Understanding how to compare quantities and scale values efficiently is key to unlocking speed and accuracy under time pressure. This text-only course guides you from absolute foundational definitions to clever calculation shortcuts. You will start by mastering core mathematical terminology, understanding the difference between ratios and fractions, and learning how to set up proportions. Through clear written explanations and step-by-step mathematical breakdowns, you will learn to tackle complex word problems and apply fast-solving techniques without relying on memorized formulas. What you'll learn: Understand core concepts of ratios, compounded ratios, and direct or inverse proportions; Master algebraic simplification methods to solve proportion equations quickly; Apply shortcut techniques to distribute quantities and divide resources based on given ratios; Solve common exam-style word problems involving mixtures, partnerships, and age calculations; Practice mental math strategies to eliminate incorrect options and speed up your test-taking. The course starts with essential definitions and simple numerical relationships before progressing to multi-step word problems and timed-solving strategies. This course is designed specifically for beginners, students preparing for competitive exams, and anyone looking to refresh their foundational math skills. No advanced mathematical background is required to begin.