Mathematics is the King Section: 50 questions carry 3 marks each = 150/300 marks. NCERT Class 5 and basic Class 6 concepts form the complete paper.
1
Natural Numbers & Whole Numbers
Place value, face value, successor, predecessor, ordering and comparing large numbers.
2
LCM and HCF
Prime factorization method, division method, word problems on bells, traffic lights and grouping.
3
Unitary Method
Direct variation, inverse variation, time & work basics, cost-quantity proportion.
4
Fractions & Word Problems
Proper, improper, mixed fractions, equivalent fractions, addition, subtraction, multiplication & division.
5
Decimals & Conversion
Operations on decimals, converting fractions to decimals, rounding to decimal places.
6
Percentage & Applications
Calculation of %, converting fraction/ratio to %, finding original value from percentage.
7
Profit and Loss
Cost Price (CP), Selling Price (SP), Profit %, Loss %, overhead expenses, discount basics.
8
Simple Interest
Principal, Rate per annum, Time in years/months, Amount formula (A = P + SI).
9
Square and Square Root
Perfect squares up to 30, prime factorization method, division method for square roots.
10
Area and Perimeter
Perimeter and Area of Square, Rectangle and Triangle; cost of fencing and turfing.
11
Volume of Cube and Cuboid
Cubic units, volume calculation, capacity in litres, word problems on rectangular tanks.
12
Angles & Classification
Acute, Obtuse, Right, Straight, Reflex, Complete angles, Complementary and Supplementary angles.
13
Lines and Triangles
Parallel, perpendicular, intersecting lines; equilateral, isosceles, scalene triangles; angle sum property (180°).
14
Circles & Properties
Center, radius, diameter, chord, circumference formula (2πr), semi-circle properties.
15
Speed, Distance and Time
Speed formula, km/hr to m/sec conversion, train problems passing poles/platforms, average speed.
16
Roman Numerals
Rules of Roman numbers (I, V, X, L, C, D, M), writing numbers up to 1000, addition/subtraction in Roman.
17
Prime and Composite Numbers
Twin primes, co-primes, prime factor tree, sieve of Eratosthenes basics.
18
Number Series and Sequences
Arithmetic sequences, alternating differences, finding missing terms in number patterns.
19
Conversion of Units
Metric conversion table (kilo, hecto, deca, base, deci, centi, milli) for length, mass, and capacity.
20
Temperature Scales
Celsius to Fahrenheit conversion [°F = (°C × 9/5) + 32], Fahrenheit to Celsius, clinical thermometer reading.
21
Average (Arithmetic Mean)
Sum of observations divided by number of observations, word problems on batsman average and age.
22
Ratio and Proportion
Simplest form of ratio, comparison of ratios, proportion property (Product of Extremes = Product of Means).
23
Plane Figures & Symmetry
Lines of symmetry for regular polygons, rotational symmetry, reflection patterns.
24
Data Handling & Graphs
Interpreting pictographs, single bar graphs, double bar graphs, reading frequency tables.
25
BODMAS Simplification
Order of operations: Brackets (Bar, Round, Curly, Square), Of, Division, Multiplication, Addition, Subtraction.
Intelligence Test (Reasoning): 25 Questions • 50 Marks (2 marks each). Tests cognitive logic, visual pattern recognition, and analytical ability.
1
Analogies (Verbal & Mathematical)
Word pairs, numerical relationships, semantic associations, tool-work, country-capital analogies.
2
Pattern Completion & Visual Matching
Detecting missing 1/4th quadrant, rotating geometrical designs, symmetric figure completion.
3
Classification (Odd-One-Out)
Identifying the dissimilar entity among four numbers, words, letters, or geometric figures.
4
Series Completion (Number & Letter)
Alphabetical skips, Fibonacci-like additions, alternating series, mixed alphanumeric sequences.
5
Embedded Figures & Hidden Shapes
Locating a given simple question figure concealed inside one of four complex answer figures.
6
Mirror Images & Water Reflections
Lateral inversion, reflection across vertical (mirror) and horizontal (water) axes.
7
Direction Sense Test
Cardinal directions (North, South, East, West), turns (clockwise, anticlockwise), final distance calculation.
8
Coding-Decoding
Letter-to-letter shift (+2, -3), letter-to-number cipher, substitution coding, sentence code deciphering.
9
Blood Relations
Family tree relations, deciphering maternal and paternal relations, 'pointing to a photograph' problems.
10
Order & Ranking Test
Calculating total people in a row (Left + Right - 1), position interchange, tallest-shortest rankings.
11
Paper Folding and Cutting (Punch Hole)
Tracing hole patterns through transparent folding and unfolded punched paper reconstruction.
12
Figure Matrix and Venn Diagrams
3x3 figure grids, logical set Venn diagrams representing class relationships (e.g. Birds, Animals, Fish).
Language Test (English/Hindi): 25 Questions • 50 Marks (2 marks each). Tests comprehension reading speed, grammatical precision, and vocabulary.
1
Reading Comprehension Passages
2 unseen descriptive or narrative passages with 5 factual, inferential, and vocabulary questions each.
2
Parts of Speech
Nouns, Pronouns, Verbs, Adverbs, Adjectives, Prepositions, Conjunctions, and Interjections identification.
3
Articles (A, An, The)
Definite and indefinite articles, vowel sound exceptions (e.g., 'a European', 'an honest man'), omission of articles.
4
Tenses (Present, Past, Future)
Simple, Continuous, and Perfect forms; correct verb inflections for subject and time.
5
Sentence Types & Transformations
Declarative, Interrogative, Imperative, Exclamatory sentences; converting affirmative to negative.
6
Synonyms and Antonyms
High-frequency elementary vocabulary, contextual word replacements, opposite meanings.
7
Homophones & Confusing Words
Words with identical pronunciation but distinct spellings and meanings (e.g. Principal/Principle, Peace/Piece).
8
Spelling Correction
Detecting correct spelling among 4 options, correcting common double-consonant errors.
9
Idioms and Common Phrases
Elementary idioms (e.g., 'a piece of cake', 'break the ice', 'once in a blue moon').
10
Singular & Plural Nouns
Rules of plurals (-s, -es, -ies, -ves) and irregular plurals (e.g., child/children, mouse/mice, ox/oxen).
11
Gender (Masculine / Feminine)
Noun gender conversions (e.g. bachelor/spinster, wizard/witch, nephew/niece).
12
One-Word Substitution
Single words expressing long descriptions (e.g., Century, Herbivore, Biography, Omniscient).
13
Collective Nouns & Animal Homes/Sounds
Group names (a pride of lions, a flock of birds), habitats, and vocal sounds of animals.
14
Sentence Re-arrangement (Jumbled Words)
Arranging four scattered segments (P, Q, R, S) into a grammatically coherent English sentence.
General Knowledge & General Science: 25 Questions • 50 Marks (2 marks each). Basic EVS, science concepts, Indian geography, history, and military awareness.
1
Living and Non-Living Things
Characteristics of living organisms, plant vs animal cells, adaptations in desert and aquatic flora/fauna.
2
Scientific Devices & Everyday Instruments
Thermometer, barometer, telescope, microscope, speedometer, periscope, lactometer applications.
3
Icons & National Symbols of India
National Flag (Tiranga specifications), National Emblem, National Anthem, National Song, animal, bird, tree, river.
4
Indian Armed Forces & Defence
Army, Navy, Air Force branches; ranks, supreme commander, gallantry awards (Param Vir Chakra, Ashoka Chakra, Mahavir Chakra).
5
States, UTs, Capitals & Heritage
28 States & 8 Union Territories; capital cities, official languages, harvest festivals, classical dances (Kathak, Bharatanatyam, Kathakali, etc.).
6
Solar System, Planets & Space
Order of planets, inner vs outer planets, satellites, rotation, revolution, seasons, lunar phases, Indian space missions (ISRO).
7
Water Cycle & Natural Resources
Evaporation, condensation, precipitation, water table, conservation, rainwater harvesting techniques in India.
8
Food, Nutrition & Deficiency Diseases
Carbohydrates, proteins, fats, vitamins (A, B, C, D) and minerals (Iron, Calcium, Iodine); scurvy, rickets, beriberi, goitre, night blindness.
9
Human Body Organ Systems
Digestive system, respiratory system, circulatory system, skeleton and major bones, functions of heart, lungs and kidneys.
10
Historical Forts & Monuments of India
Red Fort, Taj Mahal, Qutub Minar, Konark Sun Temple, Gateway of India, India Gate, Golconda Fort.
11
Rivers, Mountains & Physical Features
Major Himalayan and Peninsular rivers, sources, tributaries, highest peaks (Kanchenjunga, Mount Everest), Thar desert, coastal plains.
12
National Parks & Wildlife Sanctuaries
Jim Corbett, Kaziranga (One-horned rhino), Gir (Asiatic lion), Sundarbans (Bengal tiger), Kanha, endangered animal species.
13
Renowned Indian Personalities
Freedom fighters (Mahatma Gandhi, Bhagat Singh, Netaji Subhas Chandra Bose, Sardar Patel), scientists (APJ Abdul Kalam, CV Raman).
14
Sports, Trophies & Famous Stadiums
National sports of India and world, Olympic games, Cricket world cups, trophies (Ranji, Duleep, Durand Cup), famous sports icons.
15
Firsts in India (Superlatives)
First President, first PM, first woman governor, first in space, largest dam, longest river, highest airport, highest battlefield (Siachen).
