Start your preparation by understanding the exam format and syllabus thoroughly. Review the official exam guidelines to know which topics will be tested, the types of questions (multiple choice, short answer, problem-solving), and the time allocation for each section. This clarity helps you prioritize your study efforts and avoid wasting time on material outside the scope. Create a study schedule that spans several months, working backwards from your exam date, and allocate more time to topics you find difficult or that carry higher weightings in the exam.

Build a strong foundation in core concepts rather than memorizing formulas and procedures. In mathematics, ensure you understand fundamental principles of algebra, geometry, trigonometry, and calculus before moving to complex applications. In physics, grasp the underlying physical principles before diving into calculations. Use multiple learning resources—textbooks, online tutorials, and worked examples—to see concepts explained from different angles. When you truly understand why a formula works, you can apply it flexibly to new problem types rather than being stuck when questions differ slightly from practice examples.

Develop your problem-solving skills through consistent, deliberate practice. Work through past exam papers, textbook exercises, and practice problems regularly, starting with guided examples and progressing to unseen questions. Don't just solve problems passively; after completing each problem, review your solution to identify where you struggled or took inefficient steps. Keep a notebook of common mistakes and tricky problem types. Attempt problems under timed conditions periodically so you become accustomed to working at exam pace and can refine your speed without sacrificing accuracy.

Master the practical and mathematical techniques needed for success. In physics, practice drawing clear diagrams and setting up problems systematically before calculating answers. In mathematics, develop neat, organized working that allows you to track your logic and catch errors easily. Both subjects require you to show your reasoning, so practice writing explanations alongside calculations. Familiarize yourself with any required equipment or tools—calculators, graph paper, or specific software—and know their capabilities and limitations so you can use them confidently during the exam.

As exam day approaches, shift your focus from learning new material to consolidating what you know and building confidence. Complete full-length practice papers under realistic exam conditions, marking and analyzing them carefully. Form study groups with peers to discuss difficult topics and learn from each other's explanations. Maintain steady revision rather than cramming intensively in the final week, as this helps knowledge settle into long-term memory and reduces anxiety. Ensure adequate sleep, regular meals, and brief exercise during your preparation period—your brain performs best when your body is well cared for.

On exam day, approach each question systematically. Read questions carefully to ensure you understand what is being asked before rushing into calculations. Allocate your time proportionally based on question marks and difficulty. If you encounter a challenging problem, move on and return to it later rather than losing time and confidence. Double-check your work if time permits, particularly looking for arithmetic errors and ensuring your final answer is reasonable given the context. Remember that entrance exams are designed to test understanding and problem-solving ability—stay calm, trust your preparation, and do your best.