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For student only ARMY PUBLIC SCHOOL JHANSI

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Identifying Classwise & Subjectwise Topics for NDA Topics covered in Class XI Weight ageTopics covered in Class XII Weight age

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Identifying Question Pattern for NDA Topics Identified Questio ns related to the topic Weight age of Marks Year of Questions Asked- ( last 5 years ) Analysis of Question Pattern (Frequency Number of times repeated )

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Preparation for NDA

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How to Plan ?AprilMayJunJul No of Preparation Days/No of hours Subjects to be covered Topics to be covered no of period Dates scheduled Teachers detailed Date for Mock tests Feedback/Doubt Clearing Revision dates Academic Planner NDA Exam in Aug when in class XII

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What to TeachAprilMayJunJul Collect last 5 years NDA papers. Study question pattern ( MCQ) Identify repeated questions – year and number of times. Ques never asked. Identify weight age of marks for these questions Introduce Answer writing techniques Practice with time calculation /duration Test- Evaluate answers/ Compare classroom ranking Revise/Practice/Refine Academic Planner For Option 2 Entry ( Exam in Aug) before Boards

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How to Plan ? AprilMayJunJul AugSepOctNovDec No of Preparation Days/No of hours Subjects to be covered Topics to be covered no of period Dates scheduled Teachers detailed Date for Mock tests Feedback/Do ubt Clearing Revision dates Academic Planner For Option 3 & 4 Entry After Boards ( Part 1 of Prep)

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How to Plan ? AprilMayJunJul Exam in Aug No of Preparation Days/No of hours Subjects to be covered Topics to be covered no of period Dates scheduled Teachers detailed Date for Mock tests Feedback/Doubt Clearing Revision dates Academic Planner For Option 3 & 4 Entry After Boards ( Part 2 of Prep)

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Mathematics Syllabus SubjectSyllabusStrategies Mathematics (300 marks) Idenyify topics of class Xi & XII This test will cover topics :- Integral Calculus, Differential Equations, Trigonometry, Algebra, Vector Algebra, Matrices and Determinants, Analytical Geometry, Statistics & Probability. To prepare for this section, have clarity in concepts. The questions will test your basic understanding of the concepts. Go back to the basics if concepts are not clear and try to solve as many sums as possible. Do try to solve mock questions too to a great extent. Time management For this paper, you will also have to learn effective time management, wherein you solve all the questions within the stipulated time Ideally, there would be 200 questions to be solved within 120 minutes, so you will have to practice to come up with the answers in less than a minute. Here, emphasizing on mental mathematics may be a good idea where you learn to solve the questions mentally most of the time.

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Mathematics Syllabus PAPER- I: MATHEMATICS (Maximu m Marks- 300) 1. ALGEBRA: Concept of set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Maple numbers – basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear in equations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their Applications. 2. MATRICES AND DETERMINANTS: Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

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Mathematics Syllabus PAPER- I: MATHEMATICS (Maximum Marks- 300) 3. TRIGONOMETRY: Angles and their measures in degrees and in radians. Trigonometrically ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications – Height and distance, properties of triangles. 4. ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS: : Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.

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Mathematics Syllabus PAPER- I: MATHEMATICS (Maximum Marks- 300) 5. DIFFERENTIAL CALCULUS: Concept of a real valued function – domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative – applications. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima. 6. INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS: Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equations, solution of first order and first degree differential equations of various types – examples. Application in problems of growth and decay.

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Mathematics Syllabus PAPER- I: MATHEMATICS (Maxi mum Marks- 300) 7. VECTOR ALGEBRA: Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors. Vector product or cross product of two vectors. Applications- work done by a force and moment of a force and in geometrical problems. 8. STATISTICS AND PROBABILITY: Statistics: Classification of data, Frequency distribution, And cumulative frequency distribution – examples. Graphical representation – Histogram, Pie Chart, frequency polygon – examples. Measures of Central tendency – Mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression. Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability – classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.

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English Syllabus Preparing for Paper 2: General Ability – 600 marks P art A: English 200 marks The English test is for 200 marks and covers topics like vocabulary, Grammar usage comprehension. This test evaluates the basic command a person has on the language. To prepare for this test,:- read English newspaper daily, learn new words, go back to basic grammar and learn the rules thoroughly. Try to solve as many English tests as possible. There are many English tests available online as well. Try to attempt them as much as possible.

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General Ability Syllabus Preparing for Paper 2: General Ability – 600 marks Part B: General Knowledge 400 marks The GK test is for 400 marks and will check a candidate’s general understanding and his insight into the Current Affairs within the country and outside. The test will comprise six sections: General Science, Physics Chemistry Indian history Geography, Current Events. To prepare for this test,: follow the news updates regularly, be aware of the latest happenings in the field of sports, arts, literature Read about the current economic scenario in the country, the recent and past policy changes and such other topics that are directly related to India and its neighbouring countries.

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Weightage for Part B- General Ability Test P art A: English 200 marks Part ‘B’ – GENERAL KNOWLEDGE (Maximum Marks-400) The question paper on General Knowledge will broadly cover the subjects: Physics Chemistry, General Science, Social Studies, Geography Current Events. Section ‘A’ (Physics): 25% weight age Scoring Areas for Science Students Planned Preparation in Physics, Chem, Gen Science& Current Events Section ‘B’ (Chemistry): 15% weight age Section ‘C’ (General Science): 10%, weight age Section ‘D’: (History, Freedom Movement etc.) 20% weight age Scoring Areas for Humanities Students Planned Preparation in History, Geog & Current Events Section ‘E’ (Geography) 20% weight age 50 % + 50% Section ‘F’ (Current Events): 10% weight age

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PHYSICS Syllabus Section ‘A’ (Physics): Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy. Effects of Heat, Measurement of temperature and heat, change of State and Latent Heat, Modes of transference of Heat. Sound waves and their properties, Simple musical instruments. Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye. Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet. Static and Current Electricity, conductors and Non-conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays. General Principles in the working of the following : Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, ThermosFlask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses.

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CHEMISTRY Syllabus Section ‘B’ (Chemistry): Physical and Chemical changes. Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon – different forms. Fertilizers – Natural and Artificial Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder. Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

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General Science Syllabus Section ‘C’ (General Science): Difference between the living and non- living. Basis of Life – Cells, Protoplasm’s and Tissues. Growth and Reproduction in Plants and Animals. Elementary knowledge of Human Body and its important organs. Common Epidemics, their causes and prevention. Food – Source of Energy for man. Constituents of food, Balanced Diet. The Solar System – Meteors and Comets, Eclipses. Achievements of Eminent Scientists.

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(History, Freedom Movement etc.)Syllabus Section ‘D’: (History, Freedom Movement etc.) A broad survey of Indian History, with emphasis on Culture and Civilizations. Freedom Movement in India. Elementary study of Indian Constitution and Administration. Elementary knowledge of Five Year Plans of India. Panchayati Raj, Co-operatives and Community Development. Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi. Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence. French Revolution, Industrial Revolution Russian Revolution. Impact of Science and Technology on Society. Concept of one World, United Nations, Panchsheel, Democracy. Socialism and Communism. Role of India in the present world.

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(Geography): Syllabus Section ‘E’ (Geography): The Earth, its shape and size. Latitudes and Longitudes, Concept of time. International Date Line. Movements of Earth and their effects. Origin of Earth. Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and volcanoes. Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, cyclones and Anti-cyclones; Humidity; Condensation and Precipitation; Types of Climate. Major Natural regions of the World. Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and industrial activities. Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India.

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(Current Events):Syllabus Section ‘F’ (Current Events): Knowledge of Important events that have happened in India in the recent years. Current important world events. Prominent personalities – both Indian and International including those connected with cultural activities and sports.

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Applying Permutations & Combinations to Pass Written Exams Hypothesis – Score 600-700 marks If High scoring student with PCM combination Maths- 250 English 150 GK 300 Total 700Implying that CBSE Prep for Math & NDA Course Prep should pass NDA written but GK needs to be good If Average scoring student with PCM combination Maths- 200 English 150 GK 300 Total 650 Implying that focus on Maths, Eng & GK If Average scoring student of Humanities group Maths- 150 English 180 GK 300 Total 630 Implying that focus on Eng & GK more

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TOPICS TO BE EMPHASISED: INDIAN CONSTITUTION AT WORK i.Articles ii.Fundamental Rights iii.Directive Principles of State Policy iv.President /Vice-President v.Prime-minister vi.Judiciary vii.Election Commission

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i. Amendments ii. Panchayati Raj iii. RTI iv. Speaker of Lok- Sabha &Rajya – Sabha v. Parliament

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PROPORTION OF GEOGRAPHY IN NDA QUESTION PAPER

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Number of Geography Questions in NDA Paper 1 General Ability – 100 questions – 20 marks YEARMONT H XII BOOK 1 XII BOOK 2 XII TOTAL XI BOOK 1 XI BOOK 2 XI TOTAL TOTAL% 2013April731091 20 2012August336771420 2012April347941320 2011August2241241620 2011April-221261820 2010August134971620 2010April-111631920 2009August459921120 2009April336951420 2008August3471031320 2008April-88751220

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BOOKS FOR CLASS XI AND XII CLASS XI Book 1 - Fundamental Of Physical Geography Book 2 - India Physical Environment CLASS XII Book 1 - Fundamentals Of Human Geography Book 2- India: People And Economy

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12-15 questions on History in Part B (General Knowledge) Emphasized areas in Indian History World History

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INDIAN HISTORY Ancient & Medieval Art; architecture ;Literature Important Rulers And Their Contributions E.G. Asoka; Samudragupt a;Md. Bin Tughlaq Akbar Modern English East India Company Early Wars Important Acts Important Governor Generals/ Vice Roys Indian National Congress Important Sessions Demands Social Reformers Revolts Against British Peasants And Military Revolt Indian National Movement 1905-1947(with Special Emphasis On Mahatama Gandhi British Adm. Various Plans & Acts

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