JKBOSE 10th Exam 2025 – Dates, Exam Pattern, Model Papers, Syllabus, Result

Mathematics: Unit 01

• Euclid's division lemma, fundamental theorem of arithmetic-statements after reviewing work done earlier and after illustrating and motivating through examples
• Proofs of results-irrationality of, decimal expansions of rational numbers in terms of terminating/ non terminating recurring decimals

Mathematics: Unit 02

• Polynomials: Zeros of a Polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients
• Pair of linear equations in two variables: Pair of linear equations in two variables. Geometric representations of different possibilities of solutions/ inconsistency
• Pair of linear equations in two variables: Algebraic conditions for number of solutions. Solutions of pair of linear equations in two variables algebraically-by substitution, by elimination, and by cross multiplication
• Pair of linear equations in two variables: Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included
• Quadratic equations: Standard form of a quadratic equations ax2 + bx + c = 0 (a # 0). Solutions of quadratic equations (only real roots) by factorization and by completing the square i.e. by using quadratic formula
• Quadratic equations: Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated
• Arithmetic progressions (AP): Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms

Mathematics: Unit 03

• Introduction to trigonometry: Trigonometric ratios of an acute angle of a right angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0 and 90 degree
• Introduction to trigonometry: Value (with proofs) of the trigonometric ratios of 30, 45 and 60 degree. Relationships between the ratios
• Trigonometric Identities: Proof and applications of the identity sin 2 A + cos2 A + 1. Only simple identities to be given. Trigonometric ratios of complementary angles
• Heights and distances: Simple and believable problems on heights and distances. Problems should not Involve more than two right triangles. Angles of elevation/ depression should be only 30, 45, 60 degree

Mathematics: Unit 04

• Lines (in two-dimensions): Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representations of quadratic polynomials. Distance between two points and section formula (internal)
• Lines (in two-dimensions): Area of a triangle

Mathematics: Unit 05

• Triangles: Definitions, examples, counter examples of similar triangles
• Triangles: 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 (prove)
• Triangles: If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side (motivate)
• Triangles: If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar (motivate)
• Triangles: If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar (motivate)
• Triangles: 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 (motivate)
• Triangles: If a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other (motivate)
• Triangles: The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides (prove)
• Triangles: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides (prove)
• Triangles: In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the side is right triangle (prove)
• Circles: Tangents to a circle motivated by chords drawn from points coming closer and closer to the point
• Circles: The tangent at any Point of a circle is perpendicular to the radius through the point of contact (prove)
• Circles: The lengths of tangents drawn from an external point to a circle are equal (prove)
• Constructions: Division of a line segment in a given ratio (Internally). Tangent to circle from a point outside it. Construction of a triangle similar to a given triangle

Mathematics: Unit 06

• Areas related to circles: Motivate the area of a circle; area of sectors and segments (central angle of 60, 90, and 120 degree only)
• Areas related to circles: Problems based on areas and perimeter/ circumference of the above said plane figures (plane figures involving triangles, simple quadrilaterals, and circle)
• Surface areas and volumes: Problems on finding surface areas and volumes of combinations of any two of the following cubes, cuboids, spheres, hemispheres and right circular cylinders/ cones. Frustum of cone
• Surface areas and volumes: Problems involving converting one type of metallic solid into another and other mixed problems (problems with combination of not more than two different solids)

Mathematics: Unit 07

• Statistics: Mean, median, and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph
• Probability: Classical definition of Probability. Connection with probability as given in class IX. Simple problems on single events, not using set notation

Social science-India and the contemporary world II (History): Unit 01

• 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
• Nationalism in India: The first World War, Khilafat and non-cooperation, differing strands within the movement, towards civil disobedience, the sense of collective belonging

Social science-India and the contemporary world II (History): Unit 02

• 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
• 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

Social science-India and the contemporary world II (History): Unit 03

• 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 culture and the modern world: Print and censorship

Social science-India and the contemporary world II (History): Unit 04

• Post independence era: Jammu and Kashmir on the path of modernisation: Naya Kashmir manifesto, economic and social reforms, agricultural and infrastructural development, era of cooperatives, new space for women, health care facilities, cultural policies

Social science-Contemporary India II (Geography): Unit 01

• Types of resources
• Development of resources
• Resource planning in India
• 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

Social science-Contemporary India II (Geography): Unit 02

• Types of farming
• Cropping pattern
• Major crops
• Technological and institutional reforms
• Impact of globalization on agriculture

Social science-Contemporary India II (Geography): Unit 03

• What is a mineral?
• Mode of occurrence of minerals
• ferrous and non-ferrous minerals
• Non-metallic minerals
• Rock minerals
• Conservation of minerals
• Energy resources-conventional and non-conventional
• Conservation of energy resources

Social science-Contemporary India II (Geography): Unit 04

• Importance of manufacturing
• Contribution of industry to national economy
• Industrial location
• Classification of industries
• Spatial distribution
• Industrial pollution and environmental degradation
• Control of environmental degradation

Social science-Contemporary India II (Geography): Unit 05

• Transport, roadways, railways, pipelines, waterways, airways
• Communication
• International trade
• Tourism as a trade

Social science-Democratic politics II (Political science): Unit 01

• Case Studies of Belgium and Sri Lanka
• Why power sharing is desirable?
• Forms of power sharing

Social science-Democratic politics II (Political science): Unit 02

• What is federalism?
• What make India a federal country?
• How is federalism practiced?
• Decentralization in India

Social science-Democratic politics II (Political science): Unit 03

• Gender and politics
• Religion, communalism, and politics
• Caste and politics

Social science-Democratic politics II (Political science): Unit 04

• Why do we need political parties?
• How many parties should we have?
• National political parties
• State parties
• Challenges to political parties
• How can parties be reformed?

Social science-Democratic politics II (Political science): Unit 05

• 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

Social science-Democratic politics II (Political science): Unit 06

• The Jammu and Kashmir reorganization act, 2019

Social science-Economics, disaster management, and road safety education: Unit 01

• Contribution of major sectors in the Jammu and Kashmir
• Economic importance of primary sector
• Agriculture allied sectors, majors crops, live stock, horticulture
• Fisheries, forest, mining, quarrying
• Economic importance of secondary sector
• Economic importance of tertiary sector
• Hurdles in economic development

Social science-Economics, disaster management, and road safety education: Unit 02

• Potential and scope for employment generation
• Special industry initiative (SII Jammu and Kashmir)
• Towards employment initiative
• Sectoral initiatives taken by the government for employment

Social science-Economics, disaster management, and road safety education: Unit 03

• Survival skills: Search and rescue skills
• Safe construction practices: Various structural safety measures taken up for constructing disaster resistant building
• Emergency communication during a disaster
• Sharing responsibility: Role of individual, community NGOs, local and state bodies
• Ill effects of polythene

Social science-Economics, disaster management, and road safety education: Unit 04

• Introduction
• Why do children have accidents
• Who can prevent accidents
• Road safety: Motor vehicle (amendment) bill 2016
• Traffic authorities in India
• Traffic offence and penalties in India
• 4Es to prevent accidents
• Road safety education examples of good practices

Science-Physics: Unit 01

• Reflection of light, spherical mirrors; image formation; use of spherical mirrors
• Sign conventions for spherical mirrors; relation between focal length and radius of curvature
• Mirror formula (only relation) (numerical problems); magnification
• Refraction of light, refraction through a glass slab, refractive index, conditions for no refraction
• Spherical lenses, image formation, sign conventions, lens formula (only relation) (numerical problems), magnification (numerical problems), power of a lens (numerical problems)

Science-Physics: Unit 02

• Human eye; power of accommodation; defects of vision and their correction
• Glass prism (refraction and dispersion)
• Atmospheric refraction-twinkling of stars and colour of sun at sunrise and sunset

Science-Physics: Unit 03

• Concept of electric charge; electric current; electric potential and potential difference; Ohm's law and experimental verification; resistance and its dependence; combination of resistances (in series and inn parallel) (numerical problems)
• Heating effect of current-electric power and energy (numerical problems)

Science-Physics: Unit 04

• Orested experiment; magnetic field and field lines
• Magnetic field due to a current carrying current-straight, coil (loop) and solenoid (qualitative only)
• Force on a current carrying conductor in a magnetic field
• Electric motor; domestic electric circuits

Science-Physics: Unit 05

• Various sources of energy; conventional sources of energy; improvement in technology for using conventional source of energy (biomass and wind energy)
• Non-conventional sources of energy (solar energy, energy from sea)
• Nuclear energy (nuclear fusion and nuclear fissions)
• Lasting of energy sources

Science-Chemistry: Unit 01

• Chemical equation, writing of chemical equation; balancing chemical equations
• Types of chemical reactions, Viz combination reactions; decomposition reactions; displacement reactions; double displacement reactions; oxidation and reduction
• Effects of oxidation and reduction reactions in everyday life, Viz, corrosion and rancidity

Science-Chemistry: Unit 02

• Early attempts regarding classification of elements; like Dobereiner's triads, Newland's law of octaves (non evaluating)
• Mendeleev's periodic table, its achievements and limitations
• Modern periodic table; position of elements, trends in modern periodic table Viz, valency, atomic size, metallic and non-metallic properties

Science-Chemistry: Unit 03

• Bonding in carbon, covalent bond, allotropes of carbon; versatile nature of carbon; saturated and unsaturated hydrocarbons; chains; branches and rings, homologous series and its characteristics; nomenclature of carbon compounds
• Chemical properties of carbon compounds Viz combustion; oxidation; addition and substitution reactions
• Important carbon compounds like ethane and ethanoic acid properties of ethanol and ethanoic acid
• Soaps and detergents

Science-Chemistry: Unit 04

• Physical prosperities of metals and non-metals
• Chemical properties of metals like action of water, air, acids, salts; reactivity series of metals
• Cause of reactivity of metals and non-metals
• Properties of ionic compounds
• Occurrence of metals; their extraction, enrichment of ores
• Extraction of metals in accordance with activity series; refining of metals
• Corrosion of metals and its prevention

Science-Chemistry: Unit 05

• Idea about acids and bases; chemical properties of acids and bases viz. action of metals, metal carbonates, metal hydrogen carbonates (only in case of acids), metallic acids; non-metallic acids and bases
• Similarities in acids and bases; reaction of acids and bases with water
• Strength of acids and base solutions; pH, its importance. Idea of salts, their family and pH
• Chemicals from common salts like sodium hydroxide, baking soda and washing soda; hydrated salts, plaster of Paris

Science-Biology: Unit 01

• What are life processes?
• Nutrition-autotrophic nutrition, heterotrophic nutrition
• How do animals obtain their nutrition? nutrition in human beings
• Respiration
• Transportation: Transportation in plants
• Excretion: Excretion in human beings, excretion in plants

Science-Biology: Unit 02

• Animals-nervous system, what happens in reflex action?, human brain; how are these tissues protected?, how does nervous tissue cause action?
• Coordination in plants, immediate response to stimulus, movements due to growth
• Hormones in animals

Science-Biology: Unit 03

• Do organisms create exact copies of themselves?, the importance of variation
• Modes of reproduction used by unicellular organisms
• Fission
• Fragmentation, regeneration
• Vegetative propagation, budding, spore formation
• Sexual reproduction: Why the sexual mode of reproduction?, sexual reproduction in flowering plants, reproduction in human Beings. Male reproductive system, female reproductive system. What happens when the egg is not fertilized?, reproductive Health.

Science-Biology: Unit 04

• Accumulation of variation during reproduction
• Heredity: Inherited traits, rules for the inheritance of traits, Mendel's contribution. How do these traits get expressed?, sex determination
• Acquired and inherited traits
• Speciation
• Classification, tracing evolutionary relationships, fossils, evolution by stages
• Evolution should not be equated with progress

Science-Biology: Unit 05

• What happens when we add our waste to the environment?
• Ecosystem-what are its components?, food chains and webs
• How do our activities effect the environment?, ozone layer and how it is getting depleted
• Managing the garbage we produce

Science-Biology: Unit 06

• Why do we need to manage our resources?
• Forests and wildlife, stake holders, sustainable management, dams, water harvesting
• Coal and petroleum
• An overview of natural resources management

Computer science: Unit 01

• Internet world wide web, web servers, web browsers, HTML, web address, e-mail address, URI, HTTP
• Services available on Internet: Information retrieval, electronic mails, locating sites using search engines and finding people on the net, chat, video conferencing FTP, downloading and uploading files from or to remote site, newsgroup

Computer science: Unit 02

• MS-Access: Basic concepts and need for a database. Creating a database, setting the primary key inserting data into a database, inserting and deleting fields
• MS-Access: Inserting and deleting records, data validation: Field size, default value, validation rule, validation text, required, allow zero length

Computer science: Unit 03

• Basic concept of web browsers with emphasis on popular browsers, internet explorer and netscape navigator
• HTML fundamentals: Introduction to web page designing using HTML, creating and saving an HTML document, elements in HTML container and empty elements, designing web pages using the following elements
• HTML fundamentals: HTML, head, title, body (attributes: Background, BGcolor, text, link, alink, vlink, leftmargin, topmargin), font (attributes: Colour, size, face), basefont (Attributes: Coulor, size face), center, BR (break)
• HTML fundamentals: HR, (Horizontal rule. Attributes: Size, width, align, noshade, colour), comment; for com-ments, H1, H6 (heading), P (paragraph)
• HTML fundamentals: B (bold), I (italics), U (underline), UL and OL (unordered list and ordered list attributes: Type, start, LI (list item), insertion of images using the element IMG (attributes: SRC, width, height, ALT align)
• HTML fundamentals: Internal and external linking between web pages: Significance of linking, A-element (attributes: Name, HREF, title, ALT)

Computer science: Unit 04

• Domains: Database-personal data management system, employee payroll, stock inventory
• Domains: Website designing-travel and tourism, rule India, environment and pollution

Health and physical education: Unit 01

• Signs and symptoms of diseases, desirable practices to prevent diseases AIDS and venerable diseases

Health and physical education: Unit 02

• Water precaution against contamination
• Use of water for drinking and cooking
• Air-factor of air pollution

Health and physical education: Unit 03

• Balanced diet from locally available food; food habits; healthy cooking practices; food preservation and conservation

Health and physical education: Unit 04

• Participating in popularization of immunized programme, precautions against communicable diseases and epidemics, participating in naturalization of natural calamities like floods, droughts, cyclones, etc

Health and physical education: Unit 05

• Making wise decision in respect of various consumer products on the basis of their claims the form of advertisement; developing skills of distinguishing between a quack and a medical practitioner

Health and physical education: Unit 06

• Various steps of safety, first-aid home nursing-(a) Organisation of first-aid teams (b) Preparing and using first-aid kit
• Various steps of safety, first-aid home nursing-(c) Participation in safety measure against fire, air-aids and other measures. Knowledge of causes and condition of athletic injuries and developing code of conduct for safety and safety measures

Health and physical education: Unit 07

• Athletics: (a) Repetition of skills and techniques of the events learnt in the previous class (b) Hurdles –110 meter low (3 height), warming up exercises, running over the sticks, setting leading action
• Athletics: (c) Conditioning specializing; sprints; endurance run jumps, throw

Art education: Unit 01

• Study of visual resources and their expression
• Study of line, strokes, marks, tones, textures, etc, while organizing two dimensional spaces with 2 dimensional and 3 dimensional shapes and forms
• Creative use of perspective in spatial relationship
• Creative use of colour to show space, atmosphere, etc
• Use of contrast as an expressive element of art

Art education: Unit 02

• Crayon, charcoal pencil colours and gouacha, acryline colour and other unconventional source of colours and tools on various surface such as papers, canvases, hard- board, simple marking cloth pasted on paper etc
• College and mosaic work with coloured papers

Art education: Unit 03

• Display and exhibitions
• Inter-school art exhibitions
• Cultural evenings, musical concerts, film shows, and other performances (including other regional and folk community art forms)
• Study trips to museums, botanical, gardens, zoological gardens, and art galleries and art institution etc for greater awareness of the environment and cultural varieties

Art education: Unit 04

• Short notes with suitable reproductions on important aspects of Indian art and culture
• Important contemporary artists and art movements

Painting: Unit 01

• Simple composition in (water/ poster/ pastel) colours on given subject based on sketching from life

Art and drawing: Unit 01

• Principles of ornament naturalistic, conventional, abstract arrangement of the forms and details, compressing, repetition, alternation, symmetry, radiation, balance proportion, variety, rhythm
• Contrast, fitness, and utility ornamental filling of given spaces mander, unit repeat, drop, repeat all over pattern, border designs, angle and elbows
• Centre chands and corners, tracing and transferring of design suitable embroidery, carpentry, namda making, gabba, ap-plique, and hook work, car co printing, wall decoration, and stenciling

Art and drawing: Unit 02

• Difference in spectrum colours and pigment colours, practice in pigment colours, primary, secondary and tertiary colours, preparation of tints and shades, colour harmony and contrast, juxtaposition of colours mixing and matching of colours
• Medium to be used: Tempera powder colours, pastel colour and water colour

Art and drawing: Unit 03

• Banded design based on geometrical form all over geometrical patterns, designs suitable for sealing covers such as Khutamband, Bandircom, Chargola, Latic, design (woolen pingraz) based on geometrical form such as stars, lyzones etc
• Medium to be used: Water colour, pastel colour
• Solid geometrical drawing: Drawing from cube, prism, cone, pyramid, cylinder in different angles showing deviation and plan according to scale

Art and drawing: Unit 04

• Preparation of simple scale and diagonal scales, drawing from simple carpentry articles showing plan, side elevation and from elevations such as paper trays, teapots, sitting garden bench, stool, chair, etc

Music: Unit 01

• Sangeet Shruti, Swras and its kinds, Septak (Mander, Madha and Tar Sthai Antra Rag Thath, Laya, its kinds, Pakar, Vadiswra Aavadi and Varj)

Music: Unit 02

Music: Unit 03

Music: Unit 04

Music: Unit 05

Home science: Unit 01

• Functions and sources of carbohydrates, proteins, and fats
• Importance of vitamins and their sources: Water soluble vitamins B complex and vitamin C, fat soluble vitamins A and D

Home science: Unit 02

• Concept of a balanced diet
• Basic five food groups and their nutritional contribution in the diet
• Concept of meal planning and the factors affecting meal planning

Home science: Unit 03

• Concept of growth
• Concept of development
• Difference between growth and development
• Factors affecting growth
• Age span of different developmental periods from infancy to adolescence

Home science: Unit 04

• Meaning of play
• Importance of play
• Selection of play equipment's for children between birth to 3 years
• Types of play-active and passive-brief explanation with examples

Home science: Unit 05

• Definition of fibre
• Definition of fabric
• Classification of fibres on the basis of their origin
• Selection of fabric based on climate
• Age, fashion, occasion and budget
• Removal of common stains-ink, blood, curry, mud, and tea

Home science: Unit 06

• Lists of sewing equipments
• Arts of a sewing machine
• Care and upkeep of sewing machine
• Common defects and remedies of sewing machine
• Basic embroidery equipments
• Names of traditional embroidery stitches of Jammu and Kashmir

Home science: Unit 07

• Factors affecting selection of furniture
• Role of colours in interior decoration
• Concept of colour wheel
• Arrangement of furniture in different rooms
• Bedroom, drawing room, dining room

Home science: Unit 08

• Rights and responsibilities of consumer
• Problems faced by consumer
• Malpractices of traders (adulteration, faulty weights, and measures)

Bhoti: Unit 01

Bhoti: Unit 02

Bhoti: Unit 03

Persian: Unit 01

Persian: Unit 02

Persian: Unit 03

Arabic: Unit 01

Arabic: Unit 02

Arabic: Unit 03

Additional optional language: Unit 01

Additional optional language: Unit 02