Mathematics

To prepare for TIFR Mathematics Entrance Exam, you should follow these steps:
Go through the syllabus:-
Learning about the syllabus is an essential part of preparation. This helps to have a better understanding of the preparation strategy and what topics to focus on. It saves you time as well. Work on your concept and solve different questions:-
Try to clear your concepts on each topic and practice questions based on that topic from different books. This way, you will be able to understand your understanding of the topic. Solve Previous Papers:-
This will help you know the exact difficulty level of the exam and prepare accordingly. Try to solve them in a time-bound manner. Take Mock Tests:-
Take Mock Tests to check your ability of problem-solving. If it is an online test, then it can help you know your preparation status in the competition. You will be able to know where you stand and what should be improved. Track your progress:-
You should also track your progress. If something unimportant is stealing your time, recognize it and try to avoid it. Keep yourself surrounded by people who encourage you. Discuss your dreams and goals with them. Take proper rest and believe in yourself:-
It is the biggest myth that studying for long hours brings productivity to your work. There should be a routine with a proper work-rest balance and then you should ritually follow it. Also having low self-esteem can ruin your performance in exams.

For BHU
Syllabus for Mathematics: Differential Equations, Statistics And Probability, Permutation & Combination, Integral Calculus, Mathematical Induction, Complex Numbers, Sets, Relations And Functions, Mathematical Reasoning, Trigonometry, Three dimensional Coordinate Geometry, Binomial Theorem And Its Simple Applications, Matrix & Determinants, Limit, Continuity And Differentiability, Co-Ordinate Geometry, Vector Algebra, Sequence & Series. Syllabus for Chemistry: Chemical Kinetics, Equilibrium, Purification And Characterisation Of Organic Compounds, Chemistry In Everyday Life, p Block Elements, Organic Compounds Containing Nitrogen, Biomolecules, Organic Compounds Containing Halogens, Chemical Bonding & Molecular Structure, Co-Ordination Compounds, Electrochemistry, Environmental chemistry, Hydrocarbons, d And f Block Elements, Polymers, Atomic Structure, Some Basic Principles Of Organic Chemistry, Some Basic Concepts In Chemistry, Solutions, Principles and Processes of Isolation of Elements, Hydrogen. Syllabus for Physics: Motion of System of Particles and Rigid Body, Magnetic Effects Of Current And Magnetism, Universal Law of Gravitation, Kinetics Theory of Gases, Electrostatics, Dual Nature Of Matter And Radiation, Electronic Devices, Heat & Thermodynamics, Current Electricity, Optics, Waves, Work, Energy and Power, Physical World and Measurement, Kinematics, Electromagnetic Induction And Alternating Currents, Oscillations, Electromagnetic Waves, Communication Systems, Mechanics of Solids and Fluids, Atoms And Nuclei. Hope this solves your query.