< b="" />Recommended Online Quizzes and Practice Tests for Mathematics Optional Subject Revision< />

< b="" />1. EduRev< />
- EduRev is a highly recommended platform for UPSC exam preparation, including Mathematics Optional subject.
- It provides a wide range of online quizzes and practice tests specifically designed for Mathematics Optional.
- The quizzes and practice tests cover various topics and subtopics of the Mathematics Optional syllabus.
- The questions are curated by experts and are of high quality, ensuring a comprehensive revision.
- The platform also offers detailed explanations and solutions for each question, helping students grasp the concepts effectively.

< b="" />2. Mathematics Stack Exchange< />
- Mathematics Stack Exchange is a popular online community for mathematics enthusiasts and professionals.
- It is not specifically designed for UPSC exam preparation, but it serves as a valuable resource for revision.
- Students can ask and answer questions related to Mathematics Optional on this platform.
- By actively participating in discussions and solving problems, students can enhance their understanding of various mathematical concepts.
- The platform also allows users to search for specific topics or questions, making it easier to target specific areas for revision.

< b="" />3. MIT OpenCourseWare< />
- MIT OpenCourseWare offers free online resources for various subjects, including mathematics.
- It provides lecture notes, assignments, and practice problems for different mathematics courses.
- Students can access the course materials related to the topics covered in the Mathematics Optional syllabus.
- By solving the practice problems provided by MIT OpenCourseWare, students can reinforce their understanding of key concepts and improve problem-solving skills.
- The platform also offers video lectures for some courses, which can be beneficial for visual learners.

< b="" />4. Khan Academy< />
- Khan Academy is a well-known online learning platform that offers educational videos and practice exercises.
- It covers a wide range of subjects, including mathematics.
- Students can access the mathematics section of Khan Academy to find relevant topics and practice exercises.
- The exercises are interactive and provide immediate feedback, allowing students to identify and rectify their mistakes.
- Khan Academy also offers personalized learning paths, tracking progress and suggesting areas for improvement.

< b="" />5. UPSC Previous Year Question Papers< />
- One of the most valuable resources for Mathematics Optional subject revision is the UPSC previous year question papers.
- Students can find these question papers on the official UPSC website or other reliable sources.
- Solving these question papers helps students familiarize themselves with the exam pattern and the type of questions asked in the UPSC Mathematics Optional.
- It also allows students to assess their preparation level and identify weak areas that need more attention.
- By practicing with previous year question papers, students can improve their time management skills and enhance their overall exam performance.

Overall, these recommended online quizzes and practice tests provide valuable resources for students preparing for the Mathematics Optional subject in the UPSC exam. These platforms offer a variety of question types, explanations, and solutions to help students revise and strengthen their understanding of the subject. Additionally, practicing with previous year question papers can give students a better understanding of the exam pattern and help them assess their level of preparation.