Mathematics Scoring Pillar: 50 questions carry 1 mark each = 50 Marks directly added to written merit. NCERT Class 5 and fundamental Class 6 concepts form the bedrock of the paper.
1
Number System & Place Value
Natural, whole, integers, place & face values, expanded form, ordering, and comparing large numbers.
2
LCM and HCF
Prime factorization, division method, word problems on bells, alarms, traffic lights and grouping.
3
Unitary Method & Variation
Direct & inverse variation, work and wages, speed and time basics, cost-quantity proportion.
4
Fractions & Decimals
Proper, improper, mixed fractions, equivalent fractions, simplification, decimal conversions & operations.
5
Percentage & Applications
Calculation of %, converting fractions/ratios to %, finding whole numbers from given percentages.
6
Profit and Loss
Cost Price (CP), Selling Price (SP), Profit %, Loss %, overhead expenditure, discount basics.
7
Simple Interest
Principal, Rate of interest per annum, Time in years and months, Amount formula (A = P + SI).
8
Square and Square Roots
Perfect squares up to 40, prime factor method, division method for roots, square root word problems.
9
Perimeter and Area
Perimeter and Area of Square, Rectangle, Parallelogram and Triangles; cost of fencing and flooring.
10
Volume of Cube & Cuboid
Cubic units, volume calculation, tank water capacity in litres, surface area basics.
11
Lines and Angles
Complementary and supplementary angles, adjacent angles, vertically opposite angles, parallel lines & transversals.
12
Triangles and Polygons
Types of triangles (equilateral, isosceles, scalene), angle sum property (180°), interior and exterior angles of polygons.
13
Circles & Circumference
Radius, diameter, chord, arc, sector, circumference formula (2πr), area of circle.
14
Speed, Distance and Time
Speed formula, km/hr to m/sec conversion, train problems crossing poles/platforms, average speed.
15
Average (Arithmetic Mean)
Sum of quantities divided by total items, change in average after addition/removal of members, batsman scores.
16
Ratio and Proportion
Simplest form of ratios, direct proportions, proportion rule (Product of Extremes = Product of Means).
17
Roman Numerals
Rules of Roman numbers (I, V, X, L, C, D, M), numbers up to 1000, addition and subtraction in Roman numerals.
18
BODMAS Simplification
Order of operations with Brackets (Vinculum, Round, Curly, Square), Of, Division, Multiplication, Addition, Subtraction.
19
Basic Algebraic Expressions
Variables, constants, linear equations in one variable, forming equations from word problems.
20
Temperature & Conversion
Celsius to Fahrenheit conversion [°F = (°C × 9/5) + 32], clinical thermometer readings, boiling and freezing points.
21
Data Handling & Bar Graphs
Reading pictographs, single and double bar charts, interpreting tally charts and frequency tables.
22
Metric System & Conversions
Conversions of length (km, m, cm, mm), mass (kg, g, mg), and volume (kL, L, mL).
Intelligence Test (Reasoning): 50 Questions • 50 Marks (1 mark each). Tests cognitive logic, spatial aptitude, coding, and verbal reasoning.
1
Analogies (Verbal & Numerical)
Word analogies, semantic relationships, country-capital, tool-worker, number relation pairs.
2
Classification (Odd-One-Out)
Identifying odd entity among words, letters, numbers, geometric figures, and defence terms.
3
Series Completion (Number & Letter)
Arithmetic series, geometric series, skipped letter patterns, alternating alphabetic sequences.
4
Coding-Decoding
Letter-shifting (+2, -3), letter-to-number codes, substitution ciphers, deciphering phrase codes.
5
Blood Relations
Family relations, decoders (maternal/paternal relationships), deciphering 'pointing to a photograph' puzzles.
6
Direction Sense Test
Cardinal directions (North, South, East, West), right and left turns, angles of turn, final displacement calculation.
7
Venn Diagrams
Classifying sets, intersections (e.g. Officers, Soldiers, Pilots), interpreting shaded areas.
8
Alphabetical & Dictionary Ordering
Arranging words in dictionary sequence, letter word formation, finding positions in the alphabet.
9
Order and Ranking Test
Positions from left and right ends, calculating total students in a line, position interchange.
10
Pattern Completion & Visual Matching
Detecting missing 1/4th quadrant, rotating geometrical designs, symmetric figure completion.
11
Embedded Figures & Concealed Shapes
Locating a given simple question figure hidden inside complex military geometric designs.
12
Mirror Images & Water Reflections
Lateral inversion, reflection across vertical (mirror) and horizontal (water) axes.
13
Paper Folding and Cutting
Punch hole patterns, symmetric folding and unfolding visualization.
14
Cubes and Dice Problems
Opposite faces of standard and non-standard dice, folded net patterns, counting visible cubes.
General Knowledge & Current Affairs: 50 Questions • 50 Marks. Special emphasis on Indian Defence Forces, static facts, national geography, and science.
1
Indian Armed Forces & Commands
Structure of Army, Navy, Air Force, operational commands, headquarters, Chief of Defence Staff (CDS), service chiefs.
2
Defence Ranks & Equivalent Badges
Commissioned, JCO, and NCO ranks across Army, Navy, and Air Force; equivalent rank comparisons.
3
Gallantry & Civilian Awards
Param Vir Chakra (PVC), Maha Vir Chakra (MVC), Vir Chakra (VrC), Ashoka Chakra, Kirti Chakra, Bharat Ratna.
4
Missiles, Ships & Aircraft of India
Agni, Prithvi, BrahMos, Tejas, Rafale, INS Vikrant, INS Arihant, defence research establishments (DRDO).
5
Indian Freedom Struggle & History
Key battles, 1857 Revolt, Mahatma Gandhi's movements, INA & Netaji Subhas Chandra Bose, famous historical monuments.
6
Physical Geography of India
Himalayas, major rivers (Ganga, Brahmaputra, Godavari, Indus), dams, mountain passes, climate zones, deserts.
7
National Parks & Wildlife Sanctuaries
Jim Corbett, Kaziranga, Gir, Sundarbans, Project Tiger, biosphere reserves, state animals and birds.
8
National Symbols & Heritage
National Flag (Tiranga), Emblem, Anthem, Song, Currency Symbol, National Days (Republic, Independence, Vijay Diwas).
9
Indian Polity & Constitution
President, Prime Minister, Parliament (Lok Sabha & Rajya Sabha), Supreme Court, Fundamental Rights and Duties.
10
General Science & Human Body
Vital organs (heart, brain, lungs), skeleton, blood circulation, digestive system, major diseases and vaccines.
11
Vitamins, Minerals & Deficiency Diseases
Vitamins A, B, C, D, E, K; scurvy, rickets, beriberi, night blindness, balanced diet.
12
Solar System & Space Exploration
Planets, moons, asteroids, ISRO missions (Chandrayaan, Mangalyaan, Gaganyaan, Aditya-L1).
13
States, Capitals & Union Territories
28 States, 8 UTs, capitals, official languages, classical dances (Kathak, Bharatanatyam, Kathakali, Odissi).
14
Important Days & Anniversaries
Army Day (15 Jan), Air Force Day (8 Oct), Navy Day (4 Dec), Kargil Vijay Diwas (26 Jul), National Science Day.
15
Sports & Olympic Games
Olympics, Asian Games, Commonwealth Games, national sports of countries, famous sports personalities and trophies.
16
Major Inventions & Scientific Discoveries
Telephone, bulb, steam engine, penicilin, radar, Nobel Prize winners of India (CV Raman, Tagore, Khurana).
English Language (Qualifying Section): 50 Questions • 50 Marks. Candidates must score minimum 35% (17.5 Marks) to qualify. Failure in English disqualifies candidate even with high marks in other sections!
1
Reading Comprehension Passages
Factual and narrative passages, answering direct questions, inferring central theme, title identification.
2
Parts of Speech & Identification
Nouns, pronouns, verbs, adverbs, adjectives, prepositions, conjunctions, interjections.
3
Tenses and Correct Verb Forms
Present, past, future tenses (Simple, Continuous, Perfect), filling correct auxiliary and main verbs.
4
Articles (A, An, The)
Definite and indefinite articles, omission of articles, usage before unique objects and geographical names.
5
Prepositions & Phrasal Verbs
Prepositions of time, place, direction (in, at, on, between, among, under, beside), common phrasal verbs.
6
Subject-Verb Agreement
Singular and plural subjects, collective nouns agreement, rules for 'either-or' and 'neither-nor'.
7
Synonyms and Antonyms
Common words with similar and opposite meanings, contextual vocabulary matching.
8
One Word Substitutions
Vocabulary substituting lengthy phrases (e.g. Martyr, Patriot, Autocracy, Biography, Omniscient).
9
Idioms and Proverbs
Common English idioms and figurative expressions used in everyday language.
10
Spelling Correction
Detecting correctly and incorrectly spelled English words (e.g. Lieutenant, Colonel, Discipline, Separate).
11
Sentence Rearrangement (Jumbled Words)
Ordering jumbled words into coherent, grammatically sound sentences.
12
Types of Sentences
Declarative, Interrogative, Imperative, Exclamatory sentences; converting positive to negative.
13
Active and Passive Voice Basics
Simple transformations of active sentences into passive constructions.
14
Direct and Indirect Speech Basics
Reporting statements, question transformations, changes in pronouns and tenses.
Class IX General Science (Paper 2): 50 Questions • 50 Marks. Covers NCERT Class 8 syllabus comprehensively.
1
Crop Production and Management
Agricultural practices, kharif & rabi crops, fertilizers vs manure, irrigation methods, harvesting, storage.
2
Microorganisms: Friend and Foe
Bacteria, fungi, protozoa, algae, viruses; beneficial uses in food & medicine, vaccines, food preservation.
3
Synthetic Fibres and Plastics
Rayon, nylon, polyester, acrylic; thermoplastics vs thermosetting plastics, plastic pollution.
4
Metals and Non-Metals
Physical & chemical properties, reactivity series, reaction with acids & water, displacement reactions, corrosion.
5
Coal and Petroleum
Fossil fuels, fractional distillation of petroleum, carbonization, CNG, conservation of fossil energy.
6
Combustion and Flame
Conditions necessary for combustion, calorific value of fuels, types of combustion, zones of a candle flame.
7
Conservation of Plants & Animals
Deforestation, flora and fauna, endemic species, wildlife sanctuaries, national parks, Red Data Book.
8
Cell - Structure and Functions
Discovery of cell, cell organelles (nucleus, cytoplasm, cell membrane, vacuole, plastids), plant vs animal cells.
9
Reproduction in Animals
Modes of reproduction (sexual vs asexual), fertilization (internal vs external), viviparous & oviparous, cloning.
10
Force and Pressure
Contact & non-contact forces, balanced & unbalanced forces, atmospheric pressure, liquid pressure at depth.
11
Friction & Lubrication
Static, sliding, rolling friction; factors affecting friction, fluid friction (drag), increasing/reducing friction.
12
Sound, Light & Electricity
Vibrating bodies, pitch, loudness, amplitude; laws of reflection, human eye; chemical effects of electric current.
