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RIMC School Syllabus
The Syllabus is as prescribed by the RIMC. The RIMC Entrance Examination is designed to assess the candidate’s academic aptitude and suitability for a rigorous training environment. The syllabus is aligned with the learning standards of Classes VI and VII (CBSE/NCERT) and the broader topics are detailed as under: –
Mathematics (Descriptive - Pen & Paper)
1. Number System & Basic Arithmetic
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Natural & Whole Numbers: Natural Numbers, Properties of Whole Numbers, Operations on Numbers.
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Number Systems: Indian & International System of Numerals, Large Numbers in Practice, Roman Numerals.
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Factors & Multiples: LCM and HCF, Prime & Composite Numbers, Divisibility Tests (Rules for 2, 3, 4, 5, 6, 9, 11).
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Integers & Real Numbers: Properties of Integers, Fundamental Operations on Real Numbers (Addition, Subtraction, Multiplication, Division).
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Fractions & Decimals: Types of Fractions (Proper, Improper, Mixed, Like, Equivalent), Arranging & Comparing Fractions, Fractions on Number Line, Operations on Fractions & Decimals.
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Rational Numbers & Patterns: Rational numbers, Simplification, Brackets and removal of Brackets, Patterns in Mathematics.
2. Commercial & Applied Mathematics
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Ratio & Proportion: Simple ratio, proportion, and applications.
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Unitary Method: Direct and inverse variation applications.
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Percentage & Averages: Basic concepts and applied questions.
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Profit and Loss: Cost price, selling price, profit/loss percentage.
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Simple Interest: Calculation of interest, principal, rate, and time.
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Speed, Distance & Time: Simple time-distance problems, relative speed basics.
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Time and Work: Work efficiency and completion problems.
3. Algebra
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Fundamental Operations: Addition, subtraction, multiplication, and division of algebraic expressions.
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Linear Equations: Solution of simple linear equations in one variable and real-life applications.
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Algebraic Identities & Factorization:
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Splitting the middle term
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Problems based on a2 – b2
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Expansion formulas: (a – b), (a + b + c)2, etc.
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Exponents & Indices: Laws of exponents and simple exponential problems.
4. Geometry
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Lines, Angles & Curves: Points, Line Segments, Intersecting & Parallel Lines, Rays, Curves.
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Angle Properties: Types of Angles, Complementary & Supplementary Angles.
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Polygons & Triangles: Classification of Triangles (by sides and by angles), general polygons.
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Circles: Radius, diameter, chord, circumference, and arc length.
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Plane Figures: Identification and geometric properties of 2D shapes.
5. Mensuration, Units & Data Handling
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Perimeter & Area (2D): Square, Rectangle, Parallelogram, Triangle, and composite figures (Field Book method).
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Surface Area & Volume (3D): Volume and surface area of Cube and Cuboid.
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Units & Measurement: Conversion in measuring units (Length, Weight, Capacity) and Temperature.
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Data Handling: Recording and organization of data, Pictograph and its interpretation.
English (Descriptive / Pen-Paper Based Written Exam)
1. Reading & Writing Skills (Composition)
Reading Comprehension: Unseen Comprehension Passages with inference and factual questions.
Poetry: Comprehension and analysis of Poems (Rhyming Words, central idea).
Creative Writing:
Composition / Essay Writing
Picture Writing (Descriptive writing based on a visual prompt)
Letter Writing:
Formal Letters (Applications, official correspondence)
Informal Letters (Friends, relatives, personal letters)
2. Parts of Speech & Grammar Fundamentals
Nouns: Kinds of Nouns, Collective Nouns, Gender (Masculine/Feminine), Number (Singular/Plural).
Pronouns: Kinds of Pronouns and correct usage.
Verbs: Verbs and their Types, Tense forms.
Adjectives & Adverbs: Identification, degrees, and placement in sentences.
Prepositions & Conjunctions: Correct contextual usage and connectives.
Articles: Definite and Indefinite Articles (A, An, The) and their omission.
Interjections: Expressive words and punctuation.
3. Sentence Structure & Applied Grammar
Sentence Formation: Types of Sentences (Declarative, Interrogative, Imperative, Exclamatory).
Syntax: Subject & Predicate identification, Ordering of words in a sentence (Jumbled sentences).
Question Tags: Rules and practical application in statements.
Direct & Indirect Speech: Narration rules, changing tense, pronouns, and adverbs.
4. Vocabulary, Idioms & Mechanics
Word Power: Synonyms, Antonyms, Confusing Words, Homophones.
Idiomatic Usage: Common Idioms and Phrases with practical sentence framing.
Spelling & Accuracy: Correct spelling identification and common errors.
General Knowledge (Objective / Multiple Choice Questions - MCQs)
1. Everyday Science & Environment
General Science: Everyday applications of science, Scientific devices used in daily life, Shape of the Earth and Gravitation (Basic concepts).
Inventions & Discoveries: Major inventions, scientific discoveries, and Nobel prizes.
Botany & Zoology: Functions of body parts of plants and animals, Germination and seed dispersal, Young ones of different animals, Human-animal relationships.
Health & Physiology: Taste and digestion (Basic concepts), Water pollution, and microbial diseases.
Physical Chemistry & Water: Experiments with water in daily life, Evaporation, condensation, and the Water Cycle.
Ecology & Conservation: Solar system and Earth, Conservation of nature, Non-renewable energy sources (Fossil fuels), Environmental issues (Ozone depletion, pollution).
2. Indian Heritage, Geography & Culture
National Identity: National symbols of India, Icons and Insignia (National Emblem, Sport, Bird, Animal, etc.).
States & Diversity: States and Union Territories of India (Capitals, regional languages, lifestyle, climatic conditions, cultural heritage).
Religions of India: Major religions (Founders, places of origin, holy books, and core philosophies).
Art & Performing Arts: Classical and folk dances of India, Instrumental and vocal music traditions, Renowned artists and cultural personalities.
Monuments & History: Historical monuments, architecture, and heritage sites of India.
Geographical Habitats: Mountain terrains and lifestyles, Regional food habits, habitats, and clothing.
3. Defence, Sports & Literature
Indian Armed Forces (Defence): Equivalent ranks in Army, Navy, and Air Force; Basic awareness of weapons, aircraft, missiles, and warships.
Sports & Games: Major national and international sports, Famous tournaments, trophies, cups, and renowned sportspersons.
Literature & Awards: Famous books and authors, Indian literary and cultural personalities, Major cultural/literary awards and recent recipients.
4. Social Science, Current Affairs & Global Awareness
International Organizations: Structure, headquarters, objectives, and working of the United Nations (UN), World Bank, and other global bodies.
Current Affairs: Major national and international events, news, and milestones.
Natural Disasters & Geography: Natural calamities (Earthquakes, floods, tsunamis, cyclones) and safety awareness.
Agriculture & Society: Farming techniques and life of farmers, Traditional water harvesting methods, Tribal communities and forest produce.
Sainik School Syllabus
The AISSEE exam is conducted in an Offline OMR-based (Multiple Choice Questions) format by the National Testing Agency (NTA).
Detailed Class 6th Syllabus :
Mathematics (150 Marks)
Number System & Basic Arithmetic
Natural Numbers
Operation on Numbers
Prime and Composite Numbers
Roman Numerals
Simplification
LCM and HCF
Fractions & Decimals
Fractions
Arranging of Fractions
Decimal Numbers
Applied & Commercial Mathematics
Unitary Method
Ratio and Proportion
Percentage
Average
Profit and Loss
Simple Interest
Speed and Time
Geometry
Lines and Angles
Types of Angles
Complementary and Supplementary Angles
Plane Figures
Circle
Mensuration & Measurement
- Area and Perimeter
- Volume of Cube and Cuboids
- Conversion of Units
- Temperature
Intelligence Test (50 Marks)
1. Verbal Reasoning & Logic
Analogies: Mathematical & Verbal relationships and associations
Classification: Odd-one-out and categorization of words/concepts
Familial Relations: Blood relations and family hierarchy problems
Critical Thinking: Problem solving, deductive reasoning, and logical deductions
2. Non-Verbal & Mathematical Reasoning
Patterns: Spatial and mathematical patterns, sequences, and trends
Series and Sequences: Number, alphabet, and figure-based continuous series
Visual & Logical Reasoning: Abstract reasoning, visual puzzles, spatial arrangement, and shape analysis
Languages (English / Hindi / Regional Languages) (50 Marks)
1. Reading & Composition
Comprehension Passage
Rhyming Words
2. Parts of Speech
Nouns: Kinds of Nouns, Collective Nouns, Gender, Number (Singular/Plural)
Pronouns: Kinds of Pronouns
Verbs: Verbs and Types, Tense forms
Modifiers & Connectors: Adjectives, Adverbs, Prepositions, Interjections
Determiners: Articles
3. Sentence Structure & Grammar
Types of Sentence
Sentence Formation
Ordering of words in sentence
Question Tags
4. Vocabulary & Word Usage
Synonyms & Antonyms
Confusing Words
Vocabulary & Correct Spelling
Idioms and Phrases
Note: Questions in the language section will be based on topics dealt till Class V.
General Knowledge (50 Marks)
1. Everyday Science, Health & Biology
Life Processes: Functions of Plant, Animal and Human; Tasting, Digestion and Food Preservation.
Animal World: Relationship between Humans and Animals and their Physical Functions, Super Senses and Young Ones of Animals.
Water & Science in Life: Use of Water in Daily Life and Related Functions, Scientific Devices used in Daily Life.
Diseases & Health: Water Pollution and Microbial Diseases.
2. Earth, Environment & Geography
The Universe & Planet Earth: Solar System and Our Earth.
Water & Cycles: Water Cycle (Evaporation and Condensation).
Energy Sources: Energy (Renewable and Non-renewable).
Climate & Disasters: Climate (Earthquake, Flood & Natural Calamities).
Terrains & Lifestyles: Mountain Terrain and Lifestyle.
3. Society, Agriculture & Environment
Agriculture & Botany: Life of Farmers, Farming techniques, Seed Germination and Dispersal.
Forest & Heritage: Tribal Communities and Forest.
4. India: Heritage, Culture & National Identity
National Identity: National Symbols of India, India: At a Glance.
Culture & Traditions: Art and Culture of India (Monuments, Dance, Music, Religion, Language, Food and Dress).
Defence: Indian Defence System.
5. Current Affairs, Sports & Global Awareness
Awards & Honors: Indian Literary and Cultural Awards (Current).
Famous Personalities: National and International Personalities and Achievements (Current).
Sports: National and International Sports, Trophies & Tournaments.
Organizations: National and International Organizations.
Detailed Class 9th Syllabus :
Mathematics (200 Marks)
1. Number System & Basic Arithmetic
Rational Numbers: Properties, representation on number line, operations
Squares & Square Roots: Finding square roots, properties of perfect squares
Cubes & Cube Roots: Cube roots and prime factorization
Exponents & Powers: Laws of exponents, negative powers, scientific notation
Playing with Numbers & Divisibility: Generalized forms, Divisibility tests (for 2, 3, 5, 9, 10, 11)
2. Algebra & Linear Equations
Algebraic Expressions: Operations, terms, factors, and identities
Factorization: Common factors, grouping terms, algebraic identities, splitting middle terms
Linear Equations in One Variable: Solving equations and word problems
3. Commercial Mathematics
Comparing Quantities: Ratio applications and comparisons
Percentage & Profit/Loss: Basic percentage, Profit and Loss calculations
Discount: Marked price, selling price, and discount percentage
Simple & Compound Interest: Annual and semi-annual compounding
Direct & Inverse Proportion: Proportional relationships and variations
Time and Work: Efficiency, work completion, and pipe/cistern problems
4. Geometry & Visualizing Solids
Triangles & Properties: Angle sum property, exterior angle property, Pythagoras Theorem
Lines & Angles: Parallel lines and transversal properties
Quadrilaterals: Types and properties of parallelograms, rhombuses, rectangles, squares
Visualizing Solid Shapes: 2D and 3D views (front, side, top), Euler’s Formula (F + V – E = 2)
5. Mensuration
2D Figures: Area and perimeter of triangles, quadrilaterals, trapeziums, and polygons
3D Figures: Volume and total/lateral surface area of cubes, cuboids, and cylinders
6. Statistics & Data Handling
Data Handling & Graphs: Bar Graph, Double Bar Graph, Line Graph
Central Tendencies: Statistics, Mean, Mode, Median of raw data
Probability: Elementary probability, outcomes, and event likelihood
Intelligence / Reasoning (50 Marks)
1. Verbal Reasoning & Logic
Analogies (Mathematical & Verbal): Identifying relationships and associations between words, numbers, and concepts.
Classification: Odd-one-out and grouping based on common properties or rules.
Familial Relations: Blood relations, family trees, and relational hierarchy problems.
Critical Thinking & Problem Solving: Deductive reasoning, analytical puzzles, and decision-making logic.
2. Non-Verbal & Visual Reasoning
Pattern Recognition (Spatial & Mathematical): Identifying trends, shape transformations, and numeric patterns.
Series & Sequences: Completing progressive number, alphabet, and figure-based sequences.
Visual & Logical Reasoning: Spatial analysis, abstract reasoning, and non-verbal problem solving.
English (50 Marks)
1. Reading & Comprehension
Comprehension Passage
2. Parts of Speech & Morphology
Nouns & Pronouns: Kinds of Noun, Personal Pronoun, Change of Gender, Change of Number
Verbs & Modals: Types of Verbs, Tense Form, Modals, Subject-Verb Agreement
Modifiers: Adjectives, Comparison of Adjectives, Adverbs
Connectors & Markers: Prepositions, Conjunctions, Articles, Interjection
3. Grammar Rules & Applied Syntax
Clauses & Conditionals: Phrases and Clauses, Conditionals
Sentence Structure: Types of Sentences, Sentence Formation, Order of Words in a Sentence
Transformations & Mechanics:
Voices (Active and Passive)
Narration (Direct and Indirect Speech)
Question Tags
Change of Sentence as Directed
Sentence Improvement
Spotting Errors
4. Vocabulary & Mechanics
Synonyms & Antonyms
Confusing Words
Idioms and Phrases
Correct Spellings
General Science (50 Marks)
1. Physics: Mechanics, Waves & Natural Events
Forces & Pressure: Force, Friction and Pressure; Relation between types of friction
Sound: Sound and its basics
Light & Optics: Reflection and Dispersion of Light
Natural Phenomena: Some Natural Phenomenon (Lightning, Earthquakes)
Astronomy: Stars and Solar Systems
2. Chemistry: Materials, Combustion & Applications
Fuels & Combustion: Fossil Fuel: Coal and Petroleum; Combustion and Flame; How to find calorific value of fuel?
Materials: Metals and Non-Metals; Synthetic Fibers and Plastics
Electrochemistry: Chemical Effects of Electric Current; Electroplating and Artificial Jewellery
3. Biology: Cells, Human Physiology & Reproduction
Cell Biology: Cell Structure and Function
Reproduction: Reproduction in Plants and Animals
Adolescence & Endocrine System: Reaching the age of Adolescence; Changes during Puberty; Endocrine Glands and Hormones
Microbiology: Micro-Organisms (Friends and Foes)
4. Agriculture, Ecology & Environment
Agriculture: Agricultural Practices; Cropping Seasons
Ecology & Wildlife: Conservation of Plants and Animals; Biosphere Reserves, National Parks and Sanctuaries
Environmental Science: Pollution of Air and Water; Global Warming
Social Science (50 Marks)
1. History: Ancient, Medieval & Modern India
Early Civilizations & Culture: The Beginning of Indian Civilization, India’s Cultural Root
Early States & Empires: New Beginnings: City and States, The Rise of Empire, The Age of Reorganization
The Classical Age & Beyond: The Gupta Era: An Age of Tireless Creativity, Reshaping India’s Political Map
Medieval & Modern Eras: The Rise of Marathas, The Colonial Era in India
2. Geography: Earth & Environmental Studies
Planet Earth: Locating Places on the Earth (Latitudes & Longitudes), Oceans and Continents
Physical Geography: Landforms and Life, Weather and Climate
India & Resources: Geographical Diversity of India, Resources and Their Conservation
3. Civics & Governance (Political Science)
Systems of Rule: From the Rulers to the Ruled: Types of Government
Indian Democracy & Constitution: The Constitution of India, Universal Franchise and India’s Electoral System
Organs of Government: The Parliamentary System: Legislature and Executive
Local Governance: Grassroot Democracy: Local & Self Government (Panchayati Raj & Municipalities)
4. Economics & Financial Literacy
Money & Trade: From Barter to Money, Understanding Markets
Economic Life: Economic Activities Around Us (Primary, Secondary & Tertiary Sectors)
RMS Syllabus
Detailed Class 6th Syllabus (NCERT Class 5th Level)
Mathematics (50 Marks)
Numbers & Arithmetic: Number System, Place & Face Value, Prime Factorization, HCF & LCM, Square & Square Roots, Cubes.
Fractions & Decimals: Operations on Fractions, Conversions, Simplification.
Commercial Math: Percentage, Profit & Loss, Simple Interest, Unitary Method, Ratio & Proportion.
Speed & Time: Time and Distance, Time and Work, Average.
Geometry & Mensuration: Basic Shapes (Point, Line, Segment, Ray), Angles & Triangles, Perimeter and Area of Square, Rectangle & Triangle, Circumference of Circle, Volumes of Cubes & Cuboids.
Intelligence Test / Reasoning (50 Marks)
Verbal Reasoning: Analogy Test, Classification (Odd One Out), Series Completion, Coding-Decoding, Blood Relations, Direction Sense Test, Alphabetical Test.
Non-Verbal Reasoning: Pattern Completion, Mirror Images, Image Series, Visual Puzzles, Figure Classification.
General Knowledge & Current Affairs (50 Marks)
General Science: Plant & Animal Life, Human Body & Health, Solar System, Natural Calamities, Air & Water.
Social Studies: Major Historical Landmarks, Indian Constitution, Physical Geography of India, Classical Dances, Famous Personalities.
Static GK & Defence: National Symbols, Books & Authors, Countries & Capitals, Indian Armed Forces (Commands, Ranks, Trophies).
Current Affairs: Major National/International Events, Sports Awards, Science Updates.
English (50 Marks - Qualifying)
Grammar: Nouns, Pronouns, Verbs, Adjectives, Adverbs, Prepositions, Articles, Conjunctions, Tenses.
Sentence Formation: Types of Sentences, Affirmative to Negative/Interrogative, Framing Questions, Sentence Reordering (Jumbled Sentences).
Vocabulary: Synonyms, Antonyms, One-Word Substitution, Spelling Check, Fillers.
Comprehension: Unseen Reading Passages.
Detailed Class 9th Syllabus (NCERT Class 8th Level)
Mathematics (50 Marks)
Number Systems: Rational Numbers, Exponents & Powers, Square & Square Roots, Cube & Cube Roots.
Algebra: Algebraic Expressions & Identities, Factorization, Linear Equations in One Variable.
Commercial Math: Comparing Quantities, Profit, Loss & Discount, Compound Interest, Direct & Inverse Proportions.
Geometry & Mensuration: Quadrilaterals, Polygons, Area & Perimeter of Plane Figures, Surface Area & Volume of Cube, Cuboid & Cylinder.
Statistics & Data: Data Handling, Bar Graphs, Pie Charts, Basic Probability.
Science (50 Marks)
Physics: Motion, Force & Pressure, Friction, Sound, Light, Chemical Effects of Electric Current, Some Natural Phenomena.
Chemistry: Synthetic Fibres & Plastics, Metals & Non-Metals, Coal & Petroleum, Combustion & Flame, Acids, Bases & Salts.
Biology: Cell Structure & Functions, Microorganisms, Crop Production & Management, Conservation of Plants & Animals, Reproduction & Adolescence.
Social Science (30 Marks)
History: Establishment of British Rule, Revolt of 1857, British-era Reforms, Freedom Movement & Modern Indian History, Post-Independence India.
Geography: Resources, Soil, Water, Natural Vegetation & Wildlife, Agriculture, Industries, Human Resources.
Civics: The Indian Constitution, Secularism, Parliamentary System, Judicial System, Marginalization & Public Facilities.
English (50 Marks)
Grammar & Structure: Active & Passive Voice, Direct & Indirect Speech, Subject-Verb Agreement, Tenses, Modals, Clause Structure.
Vocabulary: Antonyms, Synonyms, Homophones, One-Word Substitutions, Idioms & Phrases.
Comprehension & Syntax: Reading Passages, Error Spotting, Rearranging Jumbled Words/Sentences.
Hindi (20 Marks)
व्याकरण (Grammar): वर्ण विचार, पद भेद, संधि, समास, तद्भव-तत्सम शब्द।
शब्द ज्ञान: पर्यायवाची, विलोम शब्द, मुहावरे और लोकोक्तियाँ, वाक्यांश के लिए एक शब्द।
अशुद्धि शोधन & वाक्य गठन: वाक्य में अशुद्धियों को पहचानना और सुधारना।
UP Sainik School Syllabus
The written examination is conducted offline on an OMR Answer Sheet with Multiple Choice Questions (MCQs).
Mathematics (75 Marks / 75 Questions)
Number Systems: Rational Numbers, Exponents and Powers, Squares and Square Roots, Cubes and Cube Roots, Playing with Numbers.
Algebra: Algebraic Expressions and Identities, Factorization, Linear Equations in One Variable, Polynomial Basics.
Commercial Mathematics: Comparing Quantities, Profit, Loss and Discount, Compound Interest, Sales Tax / GST Calculations, Direct and Inverse Proportions.
Geometry & Mensuration:
Understanding Quadrilaterals & Polygons
Construction of Quadrilaterals
Area of Plane Figures (Trapezium, Polygon, Rhombus)
Surface Area and Volume of 3D Figures (Cube, Cuboid, Cylinder)
Statistics & Data Handling: Frequency Distribution Tables, Bar Graphs, Pie Charts, Histogram, Mean, Median, Mode, Introduction to Probability.
English Language (50 Marks / 50 Questions)
Advanced Grammar & Usage:
Active and Passive Voice
Direct and Indirect Speech (Reporting Verbs & Statements)
Subject-Verb Agreement / Concord
Tenses and Sequence of Tenses
Prepositions, Conjunctions, Articles, and Modals
Types of Clauses & Conditional Sentences
Vocabulary & Mechanics:
Synonyms and Antonyms
Idioms and Phrases
One-Word Substitutions
Homonyms and Confusing Words
Correct Spelling Test
Syntax & Sentence Formation:
Rearranging Jumbled Words/Sentences
Spotting Errors in Sentences
Sentence Improvement and Fillers
Comprehension: Unseen Reading Passages with direct and inference-based questions.
General Knowledge (50 Marks / 50 Questions)
A. General Science
Physics: Force and Pressure, Friction, Sound, Light and Reflection, Chemical Effects of Electric Current, Natural Phenomena (Lightning, Earthquakes).
Chemistry: Synthetic Fibres and Plastics, Materials: Metals and Non-Metals, Coal and Petroleum, Combustion and Flame.
Biology: Cell — Structure and Functions, Crop Production and Management, Microorganisms: Friend and Foe, Conservation of Plants and Animals, Reproduction in Animals, Reaching the Age of Adolescence.
B. Social Studies (History, Geography & Civics)
History: Freedom Struggle & Revolt of 1857, British Colonialism & Indian Industries, Tribal Communities & Reforms, National Movement for Independence (1885-1947), Post-Independence India.
Geography: Land, Soil, Water, Natural Vegetation and Wildlife Resources, Mineral and Power Resources, Agriculture, Major Industries, Human Resources.
Civics & Indian Polity: The Indian Constitution, Fundamental Rights and Duties, Understanding Parliament and Judiciary, Secularism, Public Facilities, Law and Social Justice.
C. Static GK & Defence Awareness
Indian Armed Forces (Commands, Ranks, Trophies, Defence Institutions)
Famous Personalities, Historical Monuments, National Parks, Classical Dances
Books and Authors, Important National/International Days, Current Affairs.
Intelligence Test / IQ (25 Marks / 25 Questions)
Verbal Reasoning: Analogies, Classification (Odd One Out), Coding-Decoding, Number and Alphabet Series, Blood Relations, Direction Sense Test, Syllogisms.
Non-Verbal Reasoning: Pattern Completion, Mirror and Water Images, Embedded Figures, Paper Folding and Cutting, Cube and Dice Problems.
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