Syllabus

Table of Contents

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: –

1. Number System & Basic Arithmetic

  • Natural & Whole Numbers: Natural Numbers, Properties of Whole Numbers, Operations on Numbers.

  • Number Systems: Indian & International System of Numerals, Large Numbers in Practice, Roman Numerals.

  • Factors & Multiples: LCM and HCF, Prime & Composite Numbers, Divisibility Tests (Rules for 2, 3, 4, 5, 6, 9, 11).

  • Integers & Real Numbers: Properties of Integers, Fundamental Operations on Real Numbers (Addition, Subtraction, Multiplication, Division).

  • Fractions & Decimals: Types of Fractions (Proper, Improper, Mixed, Like, Equivalent), Arranging & Comparing Fractions, Fractions on Number Line, Operations on Fractions & Decimals.

  • Rational Numbers & Patterns: Rational numbers, Simplification, Brackets and removal of Brackets, Patterns in Mathematics.

2. Commercial & Applied Mathematics

  • Ratio & Proportion: Simple ratio, proportion, and applications.

  • Unitary Method: Direct and inverse variation applications.

  • Percentage & Averages: Basic concepts and applied questions.

  • Profit and Loss: Cost price, selling price, profit/loss percentage.

  • Simple Interest: Calculation of interest, principal, rate, and time.

  • Speed, Distance & Time: Simple time-distance problems, relative speed basics.

  • Time and Work: Work efficiency and completion problems.

3. Algebra

  • Fundamental Operations: Addition, subtraction, multiplication, and division of algebraic expressions.

  • Linear Equations: Solution of simple linear equations in one variable and real-life applications.

  • Algebraic Identities & Factorization:

    • Splitting the middle term

    • Problems based on a2 – b2

    • Expansion formulas: (a – b), (a + b + c)2, etc.

  • Exponents & Indices: Laws of exponents and simple exponential problems.

4. Geometry

  • Lines, Angles & Curves: Points, Line Segments, Intersecting & Parallel Lines, Rays, Curves.

  • Angle Properties: Types of Angles, Complementary & Supplementary Angles.

  • Polygons & Triangles: Classification of Triangles (by sides and by angles), general polygons.

  • Circles: Radius, diameter, chord, circumference, and arc length.

  • Plane Figures: Identification and geometric properties of 2D shapes.

5. Mensuration, Units & Data Handling

  • Perimeter & Area (2D): Square, Rectangle, Parallelogram, Triangle, and composite figures (Field Book method).

  • Surface Area & Volume (3D): Volume and surface area of Cube and Cuboid.

  • Units & Measurement: Conversion in measuring units (Length, Weight, Capacity) and Temperature.

  • Data Handling: Recording and organization of data, Pictograph and its interpretation.

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.

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 :

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

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

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.

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 :

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

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.

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

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

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)

  • 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.

  • 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 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.

  • 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)

  • 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.

  • 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.

  • 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.

  • 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.

  • 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).

  • 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.

 

  • 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.

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.

  • 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.

Need Guidance for School Entrance Exams (RIMC / Sainik / RMS)

Get full syllabus details, previous year question papers, and age eligibility rules for your child.

Talk to us.

+91-8433273434