To excel in the numerical questions in Paper I of the UPSC exam, it is essential to have a solid foundation in mathematical concepts and problem-solving skills. Here are some steps you can take to effectively prepare for these types of questions:


- Familiarize yourself with the syllabus and exam pattern for Paper I. This will give you a clear idea of the topics and subtopics that may be covered in the numerical questions.


- Start by revising the fundamental concepts of mathematics, such as arithmetic, algebra, geometry, and trigonometry. Make sure you have a strong understanding of these concepts before moving on to more advanced topics.


- Solve previous year question papers to get a sense of the types of numerical questions asked in the UPSC exam. This will help you familiarize yourself with the format and difficulty level of the questions.


- Regularly solve sample papers and take mock tests to assess your preparation level and identify areas where you need improvement. This will also help you develop time management skills for the exam.


- Understand and practice different problem-solving techniques, such as approximation, elimination, and substitution. These techniques can help you solve complex numerical problems more efficiently.


- If you come across any difficult or confusing numerical problems while practicing, seek clarification from your teachers, mentors, or online discussion forums. It is important to address your doubts and understand the underlying concepts.


- Create concise formula sheets for each topic, including important formulas, theorems, and shortcuts. Regularly revise these formula sheets to ensure they are ingrained in your memory.


- Develop effective time management skills by practicing solving numerical questions within a specified time limit. This will help you improve your speed and accuracy during the actual exam.


- Stay updated with current affairs and developments in the field of mathematics. This will help you relate real-life scenarios to numerical problems and enhance your problem-solving abilities.

By following these steps and maintaining a consistent study schedule, you can significantly improve your performance in the numerical questions of Paper I. Remember to practice regularly, stay focused, and seek help whenever needed. Good luck with your preparation!