University entrance exams in math and physics test both conceptual understanding and problem-solving speed. Unlike classroom tests, these exams require you to apply core concepts to unfamiliar problems under time pressure. Begin preparation by reviewing the official syllabus and past papers to understand what topics are weighted most heavily. Create a master list of all topics—from algebra and trigonometry in math to mechanics and electricity in physics—and honestly assess which areas feel weakest. This honest inventory prevents you from wasting time on topics you already know while neglecting genuine gaps.

Structure your study into two phases: deep learning first, then rapid practice. In the learning phase, work through textbook problems and worked examples slowly, making sure you understand the 'why' behind each step, not just the final answer. Use multiple resources—textbooks, online videos, and past papers—to see how different educators explain the same concept. Once a topic feels solid, move to the practice phase. Time yourself on old exam questions to build speed and identify patterns in how examiners phrase problems. Physics students should sketch diagrams for every problem; math students should show all working steps clearly, as marks are often awarded for method, not just correct answers.

Create a realistic weekly schedule that includes both subjects. Math and physics often reinforce each other—vectors, calculus, and algebra appear in both—so plan study sessions that deliberately make these connections. Dedicate at least three to four hours weekly to each subject during early preparation, increasing to five to six hours per week as exam date approaches. Include regular breaks; studying for eight hours straight with no rest is less effective than six focused hours with breaks. Many students find it helpful to alternate between subjects in a single study session to maintain concentration and prevent mental fatigue.

Develop exam technique before exam day. Practice writing solutions in the exact format expected—showing calculations, stating assumptions, and expressing answers with correct units. Learn when to use approximations or calculators versus when to solve by hand. Time yourself strictly on practice papers; if you consistently run over time, focus on faster arithmetic or simplifying your working. Identify which question types drain your time most and practice those repeatedly. Some students rush through easy questions to save time for hard ones; instead, aim for steady, accurate work throughout.

In the final weeks, shift focus from learning new topics to reviewing and practicing. Do at least one full past paper per week under actual exam conditions—same time of day, same duration, no interruptions. Review each paper carefully; understand every mistake, not just the correct answer. Form a study group if possible; explaining solutions to peers reveals gaps in your own understanding. Sleep well the night before your exam, and remember that entrance exams test what you have learned over years, not whether you are naturally gifted. Consistent, focused preparation almost always delivers results.