Descriptive questions in the Mathematics Optional paper of the UPSC exam require a clear and well-structured approach to effectively convey your understanding of the concepts. Here are some strategies to help you answer these questions:


Before attempting to answer any descriptive question, it is crucial to fully comprehend what is being asked. Read the question carefully and identify the key points or sub-questions within it. Underline or highlight the important parts to ensure you address each aspect of the question.


Take a few minutes to plan your answer before you start writing. Organize your thoughts and decide on the logical flow of your response. This will help you present your ideas in a clear and coherent manner, making it easier for the examiner to follow your arguments.


When writing mathematical solutions, it is important to use proper mathematical notation. Clearly define any symbols or variables you introduce and use appropriate symbols for mathematical operations, such as +, -, ×, ÷, =, etc. This will make your answer more professional and easier to understand.


In Mathematics Optional, it is important to show all the steps involved in solving a problem. This demonstrates your understanding of the underlying concepts and allows the examiner to award partial marks even if your final answer is incorrect. Clearly label each step and explain the reasoning behind it.


In addition to solving the problem, provide explanations and justifications for each step. This shows your ability to apply mathematical principles and reasoning. Clearly state any theorems, definitions, or formulas you use, and explain why they are applicable in the given context.


If the question involves geometric concepts or functions, use diagrams and graphs to illustrate your explanations. Label the relevant points, angles, or lines in the diagram and refer to them in your written explanation. This will enhance the clarity of your answer and make it easier for the examiner to follow your reasoning.


To improve your descriptive answering skills, it is essential to practice solving previous year question papers. This will familiarize you with the pattern of questions and help you develop a time-efficient approach. Analyze the solutions provided for these papers to understand the expectations of the examiner and improve your own writing style.

By following these strategies, you will be able to effectively tackle descriptive questions in the Mathematics Optional paper of the UPSC exam. Remember to practice regularly and seek feedback to continuously improve your writing skills and conceptual understanding.