JNV Class 11th Lateral Entry Admission 2026 Syllabus

Annexure-A

SYLLABUS FOR CLASS XI LATERAL ENTRY SELECTION TEST 2026
SUBJECT: MENTAL ABILITY

A. Total no of Question (MCQ types with 4 options): 20
B. Weightage of each Question: 01 marks
C. Total marks allotted in Mental Ability: 20 marks

1. Pattern Completion
2. Figure Series Completion
3. Geometrical Figure Completion (Triangle, Square, Circle)
4. Mirror Imaging
5. Punched Hold Pattern (Folding/Unfolding)
6. Calendar, Time and Clock
7. Embedded Figure
8. Coding-Decoding
9. Orientation / Direction
10. Space visualization
SUBJECT: ENGLISH
A. Total no of Questions (MCQ types with 4 options): 20
C. Total marks allotted in English: 20 marks

Section A

Reading Skills (10 marks)

Reading Comprehension through Unseen Passage.
 Discursive passage. (Including vocabulary)
 Case-based passage (with visual input- statistical data, chart etc.).

Section-B
Grammar (10 marks)
 Tenses
 Modals
 Subject – verb concord
 Reported speech
 Commands and requests
 Statements
 Questions
 Determiners
 Spelling
 Syntax
Note: The courses at the secondary level seek to cement high professional grasp
of grammatical items and levels of accuracy. Accurate use of spelling,

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punctuation and grammar in context will be assessed.

SUBJECT : MATHEMATICS

A. Total no of Questions (MCQ types with 4 options): 20
C. Total marks allotted in Mathematics: 20 marks

UNIT I: NUMBER SYSTEMS

1. REAL NUMBER: Fundamental Theorem of Arithmetic - statements after reviewing
work done earlier and after illustrating and motivating through examples, Proofs of
irrationality of √2, √3, √5

UNIT II: ALGEBRA
1. POLYNOMIALS Zeros of a polynomial. Relationship between zeros and
coefficients of quadratic polynomials.

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Pair of linear equations in two
variables and graphical method of their solution, consistency / inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations
in two variables algebraically – by substitution, by elimination. Simple situational
problems.

3. QUADRATIC EQUATIONS: Standard form of a quadratic equation ax2 + bx + c =
0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and
by using quadratic formula. Relationship between 16 discriminant and nature of
roots. Situational problems based on quadratic equations related to day-today
activities to be incorporated.

4. ARITHMETIC PROGRESSIONS: Motivation for studying Arithmetic Progression
Derivation of the nth term and sum of the first n terms of A.P. and their application
in solving daily life problems.

UNIT III: COORDINATE GEOMETRY
Coordinate Geometry: Review: Concepts of coordinate geometry, graphs of
linear equations. Distance formula. Section formula (internal division).

UNIT IV: GEOMETRY
1. TRIANGLES: Definitions, examples, counter examples of similar triangles.
• (Prove) If a line is drawn parallel to one side of a triangle to intersect the other
two sides in distinct points, the other two sides are divided in the same ratio.
• (Motivate) If a line divides two sides of a triangle in the same ratio, the line is
parallel to the third side.
• (Motivate) If in two triangles, the corresponding angles are equal, their
corresponding sides are proportional and the triangles are similar.
• (Motivate) If the corresponding sides of two triangles are proportional, their
corresponding angles are equal and the two triangles are similar.

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• (Motivate) If one angle of a triangle is equal to one angle of another triangle and
the sides including these angles are proportional, the two triangles are similar.

2. CIRCLES: (Prove) Tangent to a circle at, point of contact. (Prove) The tangent at
any point of a circle is perpendicular to the radius through the point of contact.
The lengths of tangents drawn from an external point to a circle are equal.

UNIT V: TRIGONOMETRY

1. INTRODUCTION TO TRIGONOMETRY: Trigonometric ratios of an acute angle of a
right-angled triangle. Proof of their existence (well defined); 17 motivate the ratios
whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30 0, 450
and 600. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES: Proof and applications of the identity Sin 2A + Cos2A
= 1. (Only simple identities to be given).

3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. : Simple problems on
heights and distances. Problems should not involve more than two right triangles. Angles
of elevation / depression should be only 30°, 45°, and 60°.

UNIT VI: MENSURATION

1. AREAS RELATED TO CIRCLES: Area of sectors and segments of a circle. Problems
based on areas and perimeter / circumference of the above said plane figures.
(In calculating area of segment of a circle, problems should be restricted to central
angle of 60°, 90° and 120° only).

2. SURFACE AREAS AND VOLUMES: Surface areas and volumes of combinations of
any two of the following: cubes, cuboids, spheres, hemispheres and right circular
cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

1. STATISTICS: Mean, Median and Mode of grouped data (bimodal situation to be
avoided).
2. PROBABILITY: Classical definition of probability. Simple problems on finding the
probability of an event.

SUBJECT: SCIENCE

A. Total no of Questions (MCQ types with 4 options): 20
C. Total marks allotted in Science: 20 marks

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Theme: Materials

Unit I: Chemical Substances - Nature and Behaviour
Chemical reactions: Chemical equation, Balanced Chemical Equation,
implications of a balanced chemical equation, types of chemical reactions:
combination, decomposition, displacement, double displacement, precipitation,
endothermic exothermic reactions, oxidation and reduction.
Acids, bases and salts: Their definitions in terms of furnishing of H+ and OH– ions.
General properties, examples and uses, neutralization, concept of pH scale
(Definition relating to logarithm not required), importance of pH in everyday life;
preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda,
Washing soda and Plaster of Paris.
Metals and Non-metals: Properties of metals and non-metals; Reactivity series;
Formation and properties of ionic compounds; Basic metallurgical processes;
Corrosion and its prevention.
Carbon compounds: Covalent bonding in carbon compounds. Versatile nature of
carbon. Homologous series. Nomenclature of carbon compounds containing
functional groups (halogens, alcohol, ketones, aldehydes, alkanes and alkynes),
difference between saturated hydro carbons and unsaturated hydrocarbons.
Chemical properties of carbon compounds (combustion, oxidation, addition and
substitution reaction). Ethanol and Ethanoic acid (only properties and uses), soaps
and detergents.

Theme: The World of the Living

Unit II: The World of Living
Life processes: ‘Living Being’. Basic concept of nutrition, respiration, transport
and excretion in plants and animals.
Control and co-ordination in animals and plants: Tropic movements in plants;
Introduction of plant hormones; Control and co-ordination in animals: Nervous
system; Voluntary, involuntary and reflex action; Chemical co-ordination: animal
hormones.
Reproduction: Reproduction in animals and plants (asexual and sexual)
reproductive health – need and methods of family planning. Safe sex V HIV/AIDS.
Child bearing and women’s health.
Heredity and Evolution: Heredity; Mendel’s contribution- Laws for inheritance of
traits: Sex determination: brief introduction: (topics excluded - evolution; evolution
and classification and evolution should not be equated with progress).

Theme: Natural Phenomena
Unit III: Natural Phenomena
Light: Reflection of light by curved surfaces; Images formed by spherical mirrors,
centre of curvature, principal axis, principal focus, focal length, mirror formula
(Derivation not required), magnification. Refraction; Laws of refraction, refractive
index. Refraction of light by spherical lens; Image formed by spherical lenses; Lens
formula (Derivation not required); Magnification. Power of a lens. Functioning of a
lens in human eye, defects of vision and their corrections, applications of spherical
mirrors and lenses. Refraction of light through a prism, dispersion of light, scattering

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of light, applications in daily life (excluding colour of the sun at sunrise and sunset).

Theme : How Things Work
Unit IV: Effects of Current
Electric current, potential difference and electric current. Ohm’s law; Resistance,
Resistivity, Factors on which the resistance of a conductor depends. Series
combination of resistors, parallel combination of resistors and its applications in
daily life. Heating effect of electric current and its applications in daily life. Electric
power, Interrelation between P, V, I and R.
Magnetic effects of current: Magnetic field, field lines, field due to a current
carrying conductor, field due to current carrying coil or solenoid; Force on current
carrying conductor, Fleming’s Left Hand Rule, Direct current. Alternating current:
frequency of AC. Advantage of AC over DC. Domestic electric circuits.

Theme : Natural Resources

Unit V: Natural Resources
Our Environment: Eco-system, Environmental problems, Ozone depletion, waste
production and their solutions. Biodegradable and non-biodegradable
substances.
SUBJECT: SOCIAL SCIENCE

A. Total no of questions (MCQ types with 4 options): 20
C. Total marks allotted in Social Science: 20 marks

Unit 1: India and the Contemporary World – II
Section 1: Events and Processes:
1. The Rise of Nationalism in Europe:
 The French Revolution and the Idea of the Nation
 The Making of Nationalism in Europe
 The Age of Revolutions: 1830-1848
 The Making of Germany and Italy
 Visualizing the Nation
 Nationalism and Imperialism
2. Nationalism in India:
 The First World War, Khilafat and Non -Cooperation
 Differing Strands within the Movement
 Towards Civil Disobedience
 The Sense of Collective Belonging

Section 2: Livelihoods, Economies and Societies:

3. The Making of a Global World:
 The Pre-modern world
 The Nineteenth Century (1815-1914)
 The Inter war Economy
 Rebuilding a World Economy: The Post-War era

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4. The Age of Industrialization:
 Before the Industrial Revolution
 Hand Labour and Steam Power
 Industrialization in the Colonies
 Factories Come Up
 The Peculiarities of Industrial Growth
 Market for Goods
Section 3: Everyday Life, Culture and Politics:
5. Print Culture and the Modern World:
 The First Printed Books
 Print Comes to Europe
 The Print Revolution and its Impact
 The Reading Mania
 The Nineteenth Century
 India and the World of Print
 Religious Reform and Public Debates
 New Forms of Publication
 Print and Censorship

Unit 2: Contemporary India – II

1. Resources and Development:
 Concept
 Development of Resources
 Resource Planning - Resource Planning in India, Conservation of Resources
 Land Resources
 Land Utilization
 Land Use Pattern in India
 Land Degradation and Conservation Measures
 Soil as a Resource - Classification of Soils, Soil Erosion and Soil Conservation
(excluding Box Information on State of India’s Environment)

2. Forest and Wildlife
 Conservation of forest and wildlife in India
 Types and distribution of forests and wildlife resources
 Community and Conservation
3. Water Resources:
 Water Scarcity and The Need for Water Conservation and Management
 Multi-Purpose River Projects and Integrated Water Resources Management
 Rainwater Harvesting
4. Agriculture:
 Types of Farming – Primitive Subsistence, Intensive
 Subsistence, Commercial
 Cropping Pattern – Major Crops, Food Crops other than Grains, Non-Food
 Crops, Technological and Institutional Reforms
 Food Security (excluding impact of globalization on agriculture)
2. Minerals and Energy Resources
 What is a mineral?
 Mode of occurrence of Minerals – Where are these minerals found? Ferrous

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 Minerals, Non-Ferrous Minerals, Non- Metallic Minerals, Rock Minerals
 Conservation of Minerals
 Energy Resources - Conventional Sources of Energy, Non-Conventional
 Sources of Energy
 Conservation of Energy Resources
3. Manufacturing Industries:
 Importance of Manufacturing – Industrial Location (excluding Industry
 Market Linkage), Agro based Industry (excluding Cotton Textiles, Jute
 Textiles, Sugar Industry), Mineral based Industries(excluding Iron Steel
Industry,
 Cement Industry), Industrial Pollution and Environmental Degradation,
 Control of Environmental Degradation
4. Life Lines of National Economy:
 Roadways
 Railways
 Pipelines
 Waterways
 Major Seaports
 Airways
 Communication
 International Trade
 Tourism as a Trade

Unit 3: Democratic Politics – II

1. Power Sharing:
 Belgium and Sri Lanka
 Majoritarianism in Sri Lanka
 Accommodation in Belgium
 Why power sharing is desirable?
 Forms of Power Sharing
2. Federalism:
 What is Federalism?
 What make India a Federal Country?
 How is Federalism practiced?
 Decentralization in India
3. Gender, Religion and Caste:
 Gender and Politics - Public/Private division, Women’s political
representation
 Religion, Communalism and Politics – Communalism, Secular State
(excluding image on page 46, 48, 49 of NCERT Textbook – Democratic
Politics –II - reprinted edition 2021)
 Caste and Politics - Caste inequalities, Caste in politics, Politics in caste
4. Political Parties:
 Why do we need Political Parties? – Meaning, Functions, Necessity
 How many parties should we have?
 National Parties
 State Parties
 Challenges to Political Parties
 How can Parties be reformed?

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5. Outcomes of Democracy:
 How do we assess democracy’s outcomes?
 Accountable, responsive and legitimate government
 Economic growth and development
 Reduction of inequality and poverty
 Accommodation of social diversity
 Dignity and freedom of the citizens

Unit 4: Understanding Economic Development
1. Development:
 What Development Promises - Different People, Different Goals
 Income and Other Goals
 National Development
 How to compare different countries or States?
 Income and other criteria
 Public Facilities
 Sustainability of Development
2. Sectors of the Indian Economy:
 Sectors of Economic Activities
 Comparing the three sectors
 Primary, Secondary and Tertiary Sectors in India
 Division of sectors as organized and un-organized
 Sectors in terms of ownership: Public and Private Sectors
3. Money and Credit:
 Money as a medium of exchange
 Modern forms of Money
 Loan activities of Banks
 Two different Credit situations
 Terms of Credit
 Formal Sector Credit in India
 Self Help Groups for the Poor
4. Globalization and the Indian Economy:
 Production across countries
 Interlinking production across countries
 Foreign Trade and integration of markets
 What is Globalization?
 Factors that have enabled Globalization
 World Trade Organization
 Impact of Globalization in India
 The Struggle for a fair Globalization

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