JEE Main 2019 Syllabus for Physics, Chemistry and Mathematics
CBSE has just released the JEE Main Syllabus which comprises two papers, Paper I for B.E/B.Tech and Paper II for B.Arch. Paper I which covers 3 subjects, Physics, Chemistry and Mathematics as a cumulative syllabi of all the state boards in India. Paper II covers three subjects, Mathematics, Aptitude and Drawing. The first step towards the JEE preparation is to understand the syllabus for each subject and to delineate the important topics in each subject.
Paper I consists of 90 objective type questions, with 30 questions from each subject (Physics, Chemistry and Mathematics) and per question carrying 4 marks. It is important for the student to understand the breakup of the syllabus to effectively utilize his/her time for JEE Main preparation. Here you will find the breakup of the syllabus of each individual subject as well as tips and advice on what topics to focus on based on previous year’s question papers.
This is the very first steps for JEE Main Preparation to score good rank in JEE Main Result.
JEE Main Exam consists of three section.
Download JEE Main Paper 2 Syllabus from here.
JEE Main 2019 Syllabus: Physics
There are two section:
Section A is designed from the theoretical concept having 80% weightage and section B is designed from the practical activity manual having 20% weightage. Candidates must be familiar with the numeric theoretical observation and practical based observations. The implementation of the activity based numerical has made the section though.
Section A: JEE main 2019 syllabus from class 11 and class 12
 Physics and Measurement
 Kinematics
 Laws of Motion
 Work, Energy, and Power
 Rotational Motion
 Gravitation
 Properties of Solids and Liquids
 Thermodynamics
 Kinetic Theory of Gases
 Oscillations and Waves
 Electrostatics
 Current Electricity
 Magnetic Effects of Current and Magnetism
 Electromagnetic Induction and Alternating Currents
 Electromagnetic Waves
 Optics
 Dual Nature of Matter and Radiation
 Atoms and Nuclei
 Electronic Devices
 Communication Systems
Section B: Practical based learning
 Experimental Skills
The syllabus involves testing the activity based knowledge. The candidate just needs to revise all the activities they have done in class 11 and class 12. It is all designed on the basis of the class 12 syllabus. The activitybased question can come from Young’s modulus, heat capacity, the viscosity of liquids, etc.
JEE Main 2019 Syllabus: Chemistry
Chemistry section can bring goosebumps on your skin as the syllabus is vast, like an unending ocean. But in IIT you cannot miss a topic from the syllabus defined below, as everything becomes important. The difficulty level appears from moderate to tough depending upon the kind of questions. The practical questions designed for activity based modules are difficult. The syllabus is divided into following sections:
Latest News Updates
 JEE Main 2019 Cut Off is Expected to Rise: Check Complete Details Here
 JEE Main Analysis for Paper 1 Held on January 9, 2019
 How to Retrieve JEE Main Application Number and Forgotten Password
 JEE Main 2019 Scribe Facility: Know Complete Details Here
 JEE Main Dress Code not declared by NTA: Check Important Exam Day Instructions
Section A: Physical Chemistry
 Some Basic Concepts in Chemistry
 The States of Matter
 Atomic Structure
 Atomic Structure
 Chemical Bonding and Molecular Structure
 Chemical Thermodynamics
 Solutions & Equilibrium
 Redox Reactions and Electrochemistry
 Chemical Kinetics
 Surface Chemistry
Section B: Inorganic chemistry
 Classification of Elements and Periodicity in Properties
 General Principles and Process of Isolation of Metals
 Hydrogen
 s – Block Elements (Alkali and Alkaline Earth Metals)
 p – Block Elements
 d – and f – Block Elements
 Coordination Compounds
 Environmental Chemistry
Section C: Organic Chemistry
 Some Basic Principles of Organic Chemistry
 Hydrocarbons
 Organic Compounds Containing Halogens
 Compounds(Organic) Containing Oxygen
 Carbon Compounds Containing Nitrogen
 Polymers
 BioMolecules
 Chemistry in Everyday Life
 Principles Related to Practical Chemistry
JEE Main 2019 Syllabus: Mathematics
JEE Mathematics syllabus is comprises from the class 11 and class 12. The difficulty level of the exam loops in because of the tricky questions that involve the implementation of concepts from various chapters. The syllabus is as follows:
 Sets, Relations, and Functions
 Complex Numbers and Quadratic Equations
 Matrices and Determinants
 Permutations and Combinations
 Mathematical Induction
 Binomial Theorem
 Sequences and Series
 Limit, Continuity, and Differentiation
 Integral Calculus
 Differential Equations
 Coordinate Geometry
 Three Dimensional Geometry
 Vector Algebra
 Statistics and Probability
 Trigonometry
 Mathematical Reasoning
JEE Main 2019 Syllabus (Class wise)
As JEE Main syllabus is consider from the 11th and 12th standard, so below are the JEE Main syllabus according to both classes.
Class 11th Syllabus
Physics  Chemistry  Mathematics 
Unit, dimension, measurement  Periodic table and properties  Logarithms and related expressions 
Kinematics  Mole concept  Compound angles 
Newtons laws of motion  Nomenclature of organic compounds  Quadratic equations and expressions 
Circular motion  Chemical bonding  Sequence and progression 
Work, power, energy  Gaseous state  Trignometric functions,equations,inequations 
Momentum and collision  Electronic displacement effect  Solutions of triangle 
Centre of mass and Inertia  Atomic structure  Straight line and pair of lines 
Rotational dynamics  Isomerism  Circles 
Elasticity, Calorimetry, Thermal expansion  Redox and equivalent concepts  Permutation and combination 
Ktg and thermodynamics  Chemical and ionic equilibrium  Binomial Theorem 
Simple Harmonic Motion  Chemical kinetics  Sets, relations, functions 
Mechanical Waves  Nuclear chemistry (radioactivity)  Mathematical induction and reasoning 
Fluid Mechanics 
Class 12th Syllabus
Physics  Chemistry  Mathematics 
Geometrical Optics  Halogen Derivative  Limit, Continuity, Derivability 
Wave Optics  Coordination Compounds  Method of differentiation 
Electrostatics  Aliphatic Hydrocarbons  Indefinite Integral 
Gravitation  Aromatic Hydrocarbons  Definite Integral 
Current Electricity  Liquid Solution & Surface Chemistry  Application of Derivatives 
Capacitance  Metallurgy  Determinant & Matrices 
Magnetic Effect of Current & Magnetism  Alcohol & Ether  Vectors 
Electromagnetic Induction & AC  Phenol  3dimensional geometry 
Nuclear physics and radioactivity  Solid State  Probability 
Dual nature of matter and radiation  Qualitative Analysis  Differential Equation 
Electronic devices  Carbonyl compounds  Area under curve 
Communication systems  s, p, d & f block elements  Parabola, Ellipse, Hyperbola 
Errors in Measurements & Instruments  Thermodynamics & Thermochemistry  Complex Number 
Electrochemistry  Statistics  
Biomolecules  
Polymers  
Carboxylic acids & its derivative  
Amines  
Practical Organic Chemistry 
Important topics
The list of important topics in the domain of physics, chemistry, and mathematics with percentage weightage is as follows:
Unit name  Percentage weightage  Expected number of questions 
Units and Dimensions  2  1 
Measurement of Errors  2  
Vectors  Not defined  
Kinematics  1  12 
Newton’s Laws of Motion  4  
Friction


Work, Energy and Power  5  Not sure about number of questions but it is easy to attempt these questions 
Electrostatics  6  
Current Electricity  7  
Wave Optics  5  
Ray Optics  6  
Centre of Mass, Momentum and Collision  5  2 – 3 questions 
Rotational Dynamics  4  
Simple Harmonic Motion  5  
Fluid Mechanics  25  
Wave Motion and String Waves  5  
Magnetism  6  
Heat & Thermodynamics  5  
Nuclear Physic  5  
Modern Physics  5  
Circular Motion  1  34 questions with mix and match of formulae from these headings 
Gravitation  1  
Properties of Matter, Elasticity  2  
Sound Waves  
Electromagnetic Induction  3  
Alternating Current  Variable  
Heat Transfer  Variable  
Calorimetry  Variable  
Thermal Expansion  Variable  
ThermoElectricity  
Semiconductors and Electronic Devices  5  
Communication Systems  2 
On average questions asked from the various important topics in Physics are:
Chapter name 
Average number of questions 
Current Electricity  8 
Electrostatics  4 
Optics  3 
Heat and Thermodynamics  2 
Law of Motion  2 
Latest News Updates
 JEE Main 2019 Cut Off is Expected to Rise: Check Complete Details Here
 JEE Main Analysis for Paper 1 Held on January 9, 2019
 How to Retrieve JEE Main Application Number and Forgotten Password
 JEE Main 2019 Scribe Facility: Know Complete Details Here
 JEE Main Dress Code not declared by NTA: Check Important Exam Day Instructions
Important topics in Mathematics:
Unit name  Percentage weightage  Expected number of questions 
Inverse Trigonometric Functions  2  12 
Circles and Family of Circles  6  
Sequence and Series  5  
Applications of Derivative  4  34 
Limit and Continuity  3  
Matrices and Determinants  4  
Straight Lines and Pair of Straight Lines  2  
3D Geometry  5  23 
Probability and Statistics  7  
Vector Algebra  5  
Integration  8  
Complex Numbers  5  
Parabola  3  
Trigonometric Ratios  3  
Logarithms  1  34 
Quadratic Equations  
Theory of Equations  5  
Sets, Relations, and Functions  4  
Differentiation  2  
Permutation and Combination  2  
Binomial Theorem  1  
Locus  
Hyperbola  2  
Ellipse  2  
Fundamentals of Mathematics  variable  
Solution of Triangle  1 
The average number of questions asked from important topics in the previous years:
Topic name 
Number of questions 
Coordinate Geometry  7 
Continuity/ Differentiability, Limits  3 
Complex No., Quadratic Equation  3 
Integral Calculus  3 
Sequence and Series  2 
Trigonometry  2 
Important topics for Chemistry in JEE Main Syllabus
Most important questions: These are forming the base of most of the questions, so they are the highlights of the syllabus.
 Chemical Bonding & the periodic table
 Carbonyl Compounds & their derivatives
 Redox reactions, Mole Concept & the concept of equivalents
 Solid state, solutions & gases theory
 Thermochemistry & the Second Law of Thermodynamics
List of important topics in chemistry with their weightage:
Nature of Question 
Unit name 
Weightage 
Fundamental Concepts  IUPAC Nomenclature  Variable 
Chemical Bonding  Variable  
Periodic Table  5%  
Important (high score areas)  Mole Concept  2 
Coordination Chemistry  5  
Alcohol, Phenols and Ethers  7  
pBlock elements  5  
Important (high weightage)  Atomic Structure  5 
Gaseous State  3  
Hydrocarbons  2  
Aldehydes and Ketones  5  
d & f Block Elements  5  
General Organic Chemistry  7  
Other topics (less important)  Chemical Equilibrium  3 
Ionic Equilibrium  3  
Thermodynamics  5  
Hydrogen and its Compounds  
sBlock Elements  5  
Isomerism of Organic Compounds  Variable  
Environmental Chemistry  Variable  
Solid State  Variable  
Chemical Kinetics  Variable  
Electrochemistry  2  
Solutions  Variable  
Qualitative Salt Analysis  Variable  
Alkyl Halides and Aryl Halides  Variable  
Carboxylic Acids and their derivatives  Variable  
Amines  2  
Biomolecules  1  
Polymers  Variable 
The average number of questions asked from the important topics:
Transition Element and
Coordination Chemistry 
3 
Periodic Table and Representative Elements  3 
Gaseous State  2 
Atomic structure  2 
Amines  2 
Solution and Colligative Properties  2 
General Organic Chemistry  2 
Carboxylic Acids and Derivatives  1 
Hydrocarbons  1 
Carbohydrate, Amino Acids and Polymer  1 
Best books to prepare for IIT JEE Main Exam: NCERT books of class 11 and class 12 are the best to start with the preparation. The indepth study of the concepts is done from the book and to learn formulae. The reference books best to study the syllabus are as follow:
Book name author  Publisher  ISBN code 
Concepts Of Physics 1 –HC Verma  Bharati Bhawan (P & D  8177091875 
Concepts Of Physics 2HC Verma  Bharati Bhawan (P & D)  8177092324 
Challenger Physics, Chemistry & Mathematics for JEE Main & Advanced (11th edition) Er. Deepak Agarwal, Dr. J. B. Yadav, Er. Anoop Srivastava  Disha Publication  9789385576492 
Understanding Physics Optics & Modern Physics for IIT JEE 1st Edition (English, Paperback Dc Pandey)  Arihant  9788188222131 
A Textbook Of Organic Chemistry For Jee Main & Advanced 8 Edition (English, Paperback, Dr. R K Gupta)  Arihant  9789352031184 
Wiley’s J.D. Lee Concise Inorganic Chemistry for JEE (Main & Advanced), 2017ed 1 Edition (English, Paperback, Sudarsan Guha  Wiley India Pvt Ltd  9788126548750 
modern approach to chemical calculations (English, Paperback, R. C. Mukherjee)  BHARATI BHAWAN PUB.& DIS.  9788177096415 
Objective Mathematics (Two Vol Set) 4/e PB (Sharma R D)  DHANPAT RAI PUBLICATIONS  9789383182169 
Preparation tips
Well, the best way to prepare for the JEE Main Exam is consistent practice. The performance can be enhanced by dedicating more hours to selfstudy. Some handy tips are:
 Make a timetable for selfstudy
 Start preparing immediately after class 10 boards are over.
 Start working within the time frame.
 Take help from the seniors in problemsolving.
 Make notes of all the important topics, especially which appear lengthy.
 Take breaks to keep yourself fresh.
 Analyse your strengths.
 Subscribe to a newsletter to get all updates on the paper trends.
Never get disheartened during practice time. Keep coming back to the practice.
JEE Main Paper 2 Syllabus: Check important topics, Preparation Tips here
JEE Main Paper 2 is a widely known exam among B. Architecture & B. Planning Aspirants. Every year nearly 1.5 lakh candidates appear for this exam. This is one of the 2 papers in JEE Main entrance. JEE Main Paper 2 syllabus constitutes of Mathematics, Aptitude, and Drawing topics. You must stick to the syllabus strictly while preparing for the entrance examination.
NTA has setup Test Practice Centers (TPCs) for JEE Main aspirants to introduce them to the new exam pattern. TPCs are in accordance with the exam syllabus. You can also access the video lectures started by the authority. These online lectures are called IIT PAL Lectures which prepare aspirants for scoring well in the entrance.
Highlights of JEE Main Paper 2
JEE Main Paper 2 will be conducted on January 8, 2019 for the January session in multiple slots. It will be a combination of online and offline test. The table mentioned below shows the highlights of JEE Main Paper 2
Specification  JEE Main Paper 2 

Mode of exam  Section 1 and 2 Computer Based Test Section 3 Pen and Paper 
Medium of Exam  English, Hindi and other regional languages 
Subjects  Aptitude, Mathematics, Drawing 
Question Type  MCQ and Drawing 
Exam Duration  3 hours 
Total Marks  390 
Marking Scheme  +4 for correct answer 1 for incorrect answer 0 for nonattempted answer 
JEE Main Paper 2 Syllabus: Mathematics
 Sets, Relations and Functions
 Complex Numbers
 Quadratic Equations
 Matrices and Determinants
 Mathematical Induction
 Sequences and Series
 Permutations and Combinations
 Limits
 Continuity and Differentiability
 Applications of Binomial Theorem
 Integral Calculus
 Differential Equation
 Vector Algebra
 Trigonometry
 Coordinate Geometry
 Three Dimensional Geometry
 Probability
 Statistics
 Mathematical Reasoning
JEE Main Paper 2 Syllabus: Aptitude test
 Awareness of places, persons, buildings and materials
 Texture and objects related to Architecture and building environment.
 Visualizing 3D objects from 2D drawings.
 Visualizing different sides of 3D objects
 Mental Ability (Visual, Numerical and Verbal)
 Analytical Reasoning
 Three dimensional – perception and appreciation of scale and proportion of objects.
 Color texture, building forms and elements, contrast and harmony.
JEE Main Paper 2 Syllabus: Drawing test
 Drawing and designing of geometrical or abstract shapes and patterns in pencil
 Transformation of forms both 2 D and 3 D union
 Elevations and 3 D views of objects Rotation
 Development of surfaces and volumes
 Generation of Plan, elevations and 3 D views of objects.
 Creating 2D and 3D compositions using given shapes and forms
 Sketching of scenes and activities from memory of urban scenes (public space, festivals, market, street scenes, recreational spaces monuments, etc.), landscape (gardens, trees, river fronts, jungles, plants etc.) and rural life.
Candidates who wish to pursue B. Architecture in the two IITs, namely, IIT Roorkee or IIT Kharagpur, have to appear for AAT (Aptitude Awareness Test).
Latest News Updates
 JEE Main 2019 Cut Off is Expected to Rise: Check Complete Details Here
 JEE Main Analysis for Paper 1 Held on January 9, 2019
 How to Retrieve JEE Main Application Number and Forgotten Password
 JEE Main 2019 Scribe Facility: Know Complete Details Here
 JEE Main Dress Code not declared by NTA: Check Important Exam Day Instructions
JEE Main Paper 2 Syllabus: Architecture Aptitude Test (AAT)
 Freehand drawing: Simple drawing showing the entire object in its right proportion and form, relative location, surface texture, and details of its components in suitable scale, Ordinary domestic or everyday life utilizable objects like equipment, furniture, etc.
 Geometrical drawing: Activities in geometrical drawing containing lines, triangles, angles, quadrilaterals, circles, polygons, Study of plan (aerial view), elevation (side or front views) of simple solid objects like cones, prisms, splayed surface holders, cylinders, cubes, etc.
 Threedimensional perception: Perception and appreciation of 3D forms with building elements, volume color, and orientation, Visualization through constituting objects in memory.
 Architectural awareness: General awareness and interest of famous architectural creations – within the country and outside, places and celebrities (architects, designers etc.)
 Architectural awareness: General awareness and interest of famous architectural creations – within the country and outside, places and celebrities (architects, designers etc.)
Important topics
Most important topics for Paper 2 for B. Architecture are listed below. Candidates must focus on these high scoring topics while preparing for the exam.
Three dimensional – perception: Understanding and appreciation of scale and proportion of objects, building forms and elements. 
Color texture, harmony and contrast. 
Design and drawing of geometrical or abstract shapes and patterns in pencil. 
Subtraction, rotation, development of surfaces and volumes, Generation of Plan, elevations and 3 D views of objects, Transformation of forms both 2 D and 3 D union. 
Creating two dimensional and threedimensional compositions using given shapes and forms. 
Sketching of scenes and activities from memory, landscape. 
Best Books to Prepare for JEE Main Paper 2
Preparation for JEE Main Paper 2 requires a good grasp in Aptitude and Mathematical concepts along with drawing and sketching skills. Therefore, to ace the exam and secure a good college it is necessary to go for the best books.
Listed below are some of the recommended books for exam Preparation.
Name of Books  Author’s Name  ISBN Number 
A Complete Self Study Guide for B. Arch 2015  PK Mishra  9351761991 
A Modern Approach to Verbal & NonVerbal Reasoning  R.S. Aggarwal  8121905516 
NATA / JEE – Study Material Kit 2016 17  SILICA  B00NIOCP1W 
Keys to Drawing (English, Paperback, Dodson)  North Light Books  891343377 
Preparation tips
Well, the best way to prepare for the entrance exam is consistent practice. The performance can be enhanced by dedicating more hours to selfstudy. Some handy tips are:
 Make a timetable for selfstudy
 Start preparing immediately after class 10 boards are over.
 Start working within the time frame.
 Take help from the seniors in problemsolving.
 Make notes of all the important topics, especially which appear lengthy.
 Take breaks to keep yourself fresh.
 Analyze your strengths.
NCERT is the bible for JEE Main Chemistry Preparation: Why?
NTA is the new conducting body for JEE Main 2019. There are several changes lined up for JEE Main 2019, however exam syllabus remains the same. Because of high competition, you must take JEE Main Chemistry Preparation seriously because it is a scoring subject when prepared well.
Read JEE Main preparation tips here
NCERT books are considered the best source to prepare for exam. As per previous year paper analysis, class 12th syllabus is only asked in JEE Main, hence NCERT books are the bible for JEE Main. It also helps to score 100% marks in class 12th.
IIT kanpur Released JEE Advanced 2019 Mock test attempt from here jeeadv.ac.in
As IIT Kanpur (Indian Institute of Technology) is the conducting authority of JEE Advanced 2019, Today, they declared JEE Advanced 2019 Mock test. JEE Aspirants can attempt mock test through the official website i.e. jeeadv.ac.in. In this article you will get information about mock test.
JEE Advanced 2019 is the path to admission into the graduate courses(Bachelor’s, Integrated Master’s and Dual Degree programs) which is offered by the IITs all over India. IIT Kanpur previously announced JEE Advanced 2019 Exam, it will be conducted in 3rd week of May 2019. It is the only way by which students can take direct admission into the 23 IITs. 10998 seats available into these IITs.
Candidates can take the test from here.
JEE Main is first step to qualify for JEE Advanced 2019, A candidates whose rank should fall in top 2,24,000 be eligible to appear for JEE Advanced. IIT Kanpur is conducting authority for JEE Advanced who previously declared that from 2019 it will be conducted in purely computer based exam mode. The exam consists of two papers i.e. Paper I & Paper II. Both the exams are compulsory to attempt to qualify JEE Advanced 2019.
Three hours will be provided to the Students for solving JEE Advanced 2019. It will be conducted in two sessions.
Last year, only 50455 students has qualified JEE Advanced Exam for admission into the IITs. A total 1,59,540 students participated into the JEE Advanced 2018. Earlier IIT Kanpur announced that from 2018, 4000 more students will eligible for JEE Advanced 2019. In 2018 only 2,20,000 students were able to appear for JEE Advanced.
From 2018, the number increased who will participates into the JEE Advanced 2018 i.e 2,24,000. Every candidates currently searching for JEE Advanced Syllabus. Click here to download Syllabus for the exam.
Latest News Updates
 JEE Main 2019 Cut Off is Expected to Rise: Check Complete Details Here
 JEE Main Analysis for Paper 1 Held on January 9, 2019
 How to Retrieve JEE Main Application Number and Forgotten Password
 JEE Main 2019 Scribe Facility: Know Complete Details Here
 JEE Main Dress Code not declared by NTA: Check Important Exam Day Instructions
Candidates whose dream is pursuing engineering from the IITs, can follow the below given preparation tips:
 You need to dedicate towards your target.
 Review the whole syllabus
 Go with smart preparation with hard work.
 Select the best material for preparation.
 Don’t try Rote learning for JEE Preparation.
 Managing proper time table gives you the fruitful result.
 Self evaluation is the best thing for preparation.
 Analyze your preparation by solving previous year question papers, and mock test.
 Learn from the toppers how to brush up your basics.
 Read the instructions carefully before going to start attempt exam.
JEE Advanced 2019 Syllabus: IIT Kanpur Released syllabus
IIT Kanpur released JEE Advanced 2019 Syllabus on 2nd week of Nov 2019 who are the conducting body. It is the second step of Joint Entrance Examination Process. Candidates who are seeking admission into the IITs and top engineering institute across all over India will appear for JEE Advanced 2019 in 3rd week of May 2019 which was previously declared by IIT Kanpur. It is purely computerbased exam.It consists of two papers (Paper 1 and Paper 2). Three hours time duration is given to both exams. Both are compulsory to attempt.
In this year the conducting body also increases the number of candidates who can appear of JEE Advanced 2019. In last year only 2,20,000 aspirants can appear but in this year the number goes increased; 4000 more students can also appear.
So who have qualified the JEE Main 2019 eligible for JEE Advance but this is not only the eligibility criteria; some other criteria also important.
So now here the important syllabus described below:
JEE Advanced 2019 Syllabus
CHEMISTRY
Physical chemistry
General topics
The concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidationreduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality, and normality.
Gaseous and liquid states
Latest News Updates
 JEE Main 2019 Cut Off is Expected to Rise: Check Complete Details Here
 JEE Main Analysis for Paper 1 Held on January 9, 2019
 How to Retrieve JEE Main Application Number and Forgotten Password
 JEE Main 2019 Scribe Facility: Know Complete Details Here
 JEE Main Dress Code not declared by NTA: Check Important Exam Day Instructions
The absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.
Atomic structure and chemical bonding
Bohr model, spectrum of hydrogen atom, quantum numbers; Waveparticle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species; Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).
Energetics
First law of thermodynamics; Internal energy, work and heat, pressurevolume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.
Chemical equilibrium
Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ΔG and ΔG0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.
Electrochemistry
Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.
Chemical kinetics
Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).
Solid state
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.
Solutions
Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
Surface chemistry
Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).
Nuclear chemistry
Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio; Brief discussion on fission and fusion reactions.
Inorganic Chemistry
Isolation/preparation and properties of the following nonmetals
Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.
Preparation and properties of the following compounds
Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.
Transition elements (3d series)
Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spinonly magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).
Preparation and properties of the following compounds:
Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and minerals
Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.
Extractive metallurgy
Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).
Principles of qualitative analysis:
Groups I to V (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.
Organic Chemistry
Concepts
Hybridisation of carbon; σ and πbonds; Shapes of simple organic molecules; Structural and geometrical isomerism; Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, monofunctional and bifunctional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Ketoenoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage; Formation, structure and stability of carbocations, carbanions and free radicals.
Preparation, properties and reactions of alkanes
Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
Preparation, properties and reactions of alkenes and alkynes
Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides.
Reactions of benzene
Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, FriedelCrafts alkylation and acylation; Effect of o, m– and pdirecting groups in monosubstituted benzenes.
Phenols
Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); ReimerTieman reaction, Kolbe reaction.
Characteristic reactions of the following (including those mentioned above)
Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions; Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition); Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
Carbohydrates
Classification; mono and disaccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
Amino acids and peptides
General structure (only primary structure for peptides) and physical properties.
Properties and uses of some important polymers
Natural rubber, cellulose, nylon, teflon and PVC.
Practical organic chemistry:
Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of monofunctional organic compounds from binary mixtures.
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MATHEMATICS
Algebra
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Logarithms and their properties.
Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skewsymmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometry
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine rule, halfangle formula and the area of a triangle, inverse trigonometric functions (principal value only).
Analytical geometry
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various forms, equations of tangent, normal and chord.
Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.
Locus problems
Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
Differential calculus
Real valued functions of a real variable, into, onto and onetoone functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
Integral calculus
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
PHYSICS
General
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u–v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
Mechanics
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
Thermal physics
Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
Electricity and magnetism
Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field near a currentcarrying straight wire, along with the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a currentcarrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
Optics
Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s doubleslit experiment.
Modern physics
Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Halflife and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogenlike atoms; Characteristic and continuous Xrays, Moseley’s law; de Broglie wavelength of matter waves.
ARCHITECTURE APTITUDE TEST
Freehand drawing
This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or daytoday life usable objects like furniture, equipment, etc., from memory.
Geometrical drawing
Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.
Threedimensional perception
Understanding and appreciation of threedimensional forms with building elements, colour, volume and orientation. Visualization through structuring objects in memory.
Imagination and aesthetic sensitivity
Composition exercise with given elements. Context mapping. Creativity check through innovative uncommon test with familiar objects. Sense of colour grouping or application.
Architectural awareness
General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.
JEE Main Maths syllabus: Important topics and Preparation tips
Joint Entrance Test, popular as JEE, is a premier engineering entrance test which is conducted by NTA. The test is conducted in two phases, JEE Main and JEE Advanced. JEE Mains is the gateway to get admission in various NITs, IIITs and CFTIs. Toppers of JEE Main are selected for JEE Advanced and after clearing JEE Advanced they get admission into IITs. JEE Main Maths Syllabus described below broadly.
JEE Main Maths Syllabus
JEE Main, thus, becomes a very important exam as not only it is necessary for getting admission into NITs and IIITs, but even if someone wants to qualify for JEE Advances, he/she has to score good in JEE Main. More than 12 lakh candidates appear for this exam every year and thus, the level of competition is huge. To clear this exam, candidates do need to do a lot of efforts.
Mathematics is an important section for JEE Main as it occupies 1/3^{rd} of the paper. So a candidate cannot even think to take this subject lightly. Let us take a look at syllabus and preparation strategy for Mathematics for JEE Main:
JEE Main Examination Pattern
JEE Main examination pattern is quite simple. The test is held in both offline and online mode and candidates have to answer 90 questions in 3 hours. There are three sections, namely Mathematics, Physics and Chemistry, each having 30 questions. Each question carries 4 marks and there is a negative marking of 1 mark for each incorrect answer.
For majority of courses the examination pattern is like as mentioned above. However, for B Arch course, the pattern is a bit different. For B Arch, JEE Main will have 50 questions on Aptitude and 2 on drawing and importantly, this paper will also have 30 questions on Mathematics. Timing and Marking Scheme will remain the same. JEE Main for B Arch is held in offline mode.
JEE Main Mathematics Syllabus
Syllabus for Mathematics under JEE Main is huge. But the majority of syllabus includes topics which a candidate has already studies. So candidates only need to increase the depth of their knowledge and need to solve higher level questions of concepts already studied. The syllabus for JEE Mains for Mathematics section in as follows:
You can download the syllabus by click here: JEE Main 2019 Mathematics Syllabus
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Chapter  No. of questions Expected  Topics to be done 
Sets, Relations and Functions  1  Sets, Representation of Sets, Intersection, Complement, Power Sets, Algebric Properties, Type and Composition of Functions 
Complex Numbers and Quadratic Equations  3  Complex Numbers as ordered pair of reals, expression in a+ib form, argant diagram, algebra, modulus and argument of complex number, Quadratic equations – Roots and their nature 
Matrices and Determinants  2  Algebra and Type of Matrices and Determinants, Properties, evaluation and area of triangle using determinants, Test of consistency and solution of Linear Equations using these two 
Permutation and Combination  1  Basics of Counting, Meaning of P and C, Arrangement, Combination, Selection and Applications of concept 
Mathematical Induction  1  Meaning and Application 
Binomial Theorem  1  Theorem for Positive Integral Index, General Term and Middle Term, Properties and Applications 
Sequence and Series  2  AP and GP, Insertion AM GM in two numbers, Relation between AM GM, Arithemetico Geometric Expression, Sum of Special Series 
Limit, Continuity and Differentiability  1  Real Valued Fucntions, Algebra of – Functions, polynomials, rational, trigonometric, logarithmic and exponential functions, also derivatives up to order two. Application of Derivatives, Graphs of simple functions. Limits, continuity and Differentiability. Differentiation of Sum, different product and quotient of two numbers. Mean value theorem, Application of Derivatives 
Integral Calculus  3  As Antiderivative, Fundamental Integrals, Integration using trigonometric identities, Integral as limit of sum, fundamental theorem of calculus, Properties and evaluation by definite integrals, are of region enclosed 
Differential Equations  1  Ordinary equations, their usage and degree, formation, solution by separation method, solutions of linear ad homogenous equations 
CoOrdinate Geometry  5  Cartesian system of rectangular coordinates in a plane, distance and section formula, locus and its equation, slope, intercept of a line, straight lines, circles and conic sections 
3D Geometry  3  Coordinates of a point in space, distance and section formula, direction ratios and cosines, angle between two intersecting lines, shortest distance and equation, intersection of line and plane, coplanar lines. 
Vector Algebra  1  Vectors and Scalars, components of vector in 2D and 3D space, sum of vectors, scalar and vector products and triple products 
Statistics and Probability  2  Dispersion, Mean Median Mode, Variance and Mean Deviation, Probability, Basic addition and subtraction, Baye’s theorem, Bernoulli trials and Binomial Theorems 
Trigonometry  2  Identities and Equations, Functions, Inverse Functions and Properties, Heights and Distances 
Mathematical Reasoning  1  Usage of or, implies, implied by, if and only if, tautology contradiction, converse and contrapostitve. 
JEE Main Mathematics Preparation Tips
One thing that is clear is that candidates will need to have deep conceptual knowledge of mathematic concepts, in order to solve the questions of JEE. Therefore, doing the syllabus properly, along with needed amount of practice is necessary. So here are some preparation tips for preparing for JEE Main Mathematics:
Start preparation at proper time
It’s very important that you give yourself time to prepare for JEE Main. If you want to prepare during your 10+2, then start preparation right from the start of session. And if you want to prepare after your 10+2 , then you should give a whole year to JEE Preparation, thus should start right after your exams. As syllabus is huge and deep understanding is needed, proper time needs to be devoted.
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Be good with basics
Before jumping on to high level questions, it is very important to be good at basics. So candidates, rather than cramming and mugging up formulae and shortcuts, should try to be good with basics. NCERT books are a great source for this purpose.
Do time based practise
Candidates must note down the time they take to solve each question. Solving a question correctly is good, but not at the cost of a lot of time. Therefore, focus should be on time based practice.
Identify strength and weakness
Now there will be many people who will suggest you to do ‘xyz’ topic, and other will suggest you to do ‘abc’ topic. However, the real secret is that you should yourself identify your weak points and strong points, and thus work collectively on them. It’s only you who knows where you are good and where you are not.
Give proper time to all subjects
Now this might seem unrelated to mathematics preparation, but it is very important to give time to all three subjects. Doing one subject all day might make you feel monotonous and may thus reduce your efficiency. Therefore, do study all three subjects every day to keep the rhythm correct.
Make a formula Sheet
Formula sheets might be available at many places, but it is very important that you make your own formula sheet, as you will be able to use it a better way. Also, things are easily traced back when they are prepared by us. Therefore, one should make his/her own formula sheet for Mathematics, rather than referring to someone other’s formulae.
Solve past year JEE papers
This tip might be written at the last, but probably this carries a lot of weightage in your preparation. Solving Past year JEE papers is a must as it introduces you to actual examlike problems. Also, identify patterns and topics of most importance from these papers. This will take your preparation to next level.
JEE Main Mathematics Study Material
It is very important that one uses proper study material for preparing for JEE Main. Proper books and material expose to more type of topics and are a core part of your preparation. Here are some books which should be followed for JEE Main Mathematics:
Book Name  Publisher/Writer 
Class 11 and 12 Mathematics  NCERT 
JEE Main Complete Mathematics  McGraw Hill 
A MASTER Resource for Mathematics in JEE Main  Praful K Agarwal 
Objective Mathematics for JEE  R D Sharma 
Integral Calculus for JEE Main & Advanced  Amit Agarwal 
Differential Calculus for JEE Main & Advanced  Amit Agarwal 
The importance of this exam lies in its scope. There are a lot of colleges that grant admission under JEE Main and thus it becomes important that candidates studies for this exam properly. Studying all three subjects with balance is the key to get a good rank, thus candidates should follow a well made strategy for tackling this exam.