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HPBOSE 10th Syllabus 2021

HPBOSE class 10th syllabus publishes on the official website -, and candidates can also check the updated syllabus from this page. Get complete details of the syllabus/topics from which the board examination questions are asked. The board has more than 8,000 affiliated schools and conducts examinations in more than 1,650 examination centres.

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How to Download HPBOSE 10th Syllabus 2021?

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HP 10th Syllabus 2021

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HPBOSE 10th Syllabus 2021

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HPBOSE Class 10th Date Sheet 2021

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HPBOSE Subject-Wise Syllabus 2021

Students can find the HPBOSE 10th Syllabus 2021 for some of the subjects below. To check the detailed HPBOSE Class 10th syllabus 2021, students can visit the official website -

HPBOSE 10th Syllabus 2021 for Mathematics

Find below the complete syllabus and the portions included for HPBOSE 10th examination of the subject Mathematics:




Part I:

Number system

Real Numbers


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 decimal expansions of rational numbers in terms of terminating / non-terminating recurring decimals.

Part II: 




Zeros of a polynomial. The relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statements and simple problems on the division algorithm for polynomials with real coefficients.

Pair of Linear Equations in Two Variables

Pair of linear equations in two variables. Geometric representation of different possibilities of solutions inconsistency. Algebraic conditions for the number of solutions. The solution of the pair of linear equations in two variables algebraically by substitution, by elimination, and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included.

Quadratic Equations

Standard form of a quadratic equation ax2 + Bx + c = 0. The solution of the quadratic equations (only real roots) by factorization and by completing the square, i.e by using the quadratic formula. A relationship between discriminant and nature of roots. Problems related to day-to-day activities to be incorporated.

Arithmetic Progression

The motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms.

Part III:


Trigonometric Ratios

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° & 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° & 60°. Relationships between the ratios.

Trigonometric Identities

Pro and applications of the identity sin2 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°.

Part IV:

Coordinate Geometry

Lines (In two dimensions)

Review the concepts of coordinate geometry done earlier, including graphs of linear equations. Awareness of the geometrical representation of quadratic polynomials. The distance between two points and section formula (internal). Area of a triangle.

Part V:



Triangles: Definitions, examples, counterexamples of similar triangles

(Prove) if a line a drawn parallel to one side of a triangle to intersect to 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.

(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.

(Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and each other.

(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.

(Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

(Prove) In a triangle, if the square on one side is equal to a sum of the squares on the other two sides, the angle opposite to the first side is a right triangle.


Circles: Tangents to a circle motivated by chords drawn from points coming closer and closer and closer to the point.


(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

(Prove) The lengths of tangents drawn from an external point to a circle are equal.



Division of a line segment in a given ratio (internally)

Tangent to a circle from a point outside it.

Construction of a triangle similar to a given triangle.


Part VI:


Areas of Plane Figures

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/ circumference of the above-said plane figures. (In calculating an area of the segment of a circle, problems should be restricted to a central angle of 60°, 90° & 120° only. Plane figures involving triangles, simple quadrilaterals, and circles should be taken).

Surface Areas and Volumes

Problems with finding surface areas and volumes of combinations of any two of the following cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones. Frustum of a cone. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with a combination of not more than two different solids be taken. 

HPBOSE 10th Syllabus for Science & Technology

Find below the complete HPBOSE 10th syllabus for the Science and Technology theory examination.



Part 1:

Chemical Substances

Acids, bases, and salts: General properties, examples, and uses. Chemical reactions: Types of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation, and reduction in terms of gain and loss of oxygen and hydrogen. Metals and non-metals: Brief discussion of basic metallurgical processes. Properties of common metals. The elementary idea about bonding.

Part 2:

Carbon Compounds

Carbon compounds, an elementary idea about bonding. Saturated hydrocarbons, alcohol, carboxylic acids (no preparation, only properties). Some important chemical compounds: Soap-cleansing action of soap. Periodic classification of elements: Gradations in properties: Mendeleev periodic table.

Part 3:

Our environment


Our environment: Environmental problems, their solutions. Biodegradable, non-biodegradable, ozone depletion. Life Processes: ''living" things; the Basic concept of nutrition, respiration, transport, and excretion in plants and animals. Control and Co-ordination in plants and animals: Tropic movements in plants; Introduction to plant hormones; control and co-ordination in animals; voluntary, involuntary and reflex action, nervous system; chemical coordination: animal hormones.

Part 4:


Reproduction in plants and animals. Need for and methods of family planning. Safe sex vs HIV/AIDS. Childbearing and women's health.Heredity and evolution: Heredity; Origin of life: brief introduction; Basic concepts of evolution.

Part 5:

Effects of Current

Potential, Potential difference, Ohm's law; Series combination of resistors, the parallel combination of resistors; Power dissipation due to current; Interrelation between P, V. I and R.

Magnets: Magnetic field, field lines, field due to a current-carrying wire, field due to current carrying coil or solenoid; Force on the current-carrying conductor, Fleming's left-hand rule. Electromagnetic induction. The induced potential difference, Induced current. Direct current. Alternating current; frequency of AC. The advantage of AC over DC. Domestic electric circuits.

Part 6:

Convergence and divergence of light

Images formed by a concave mirror; related concepts; a center of curvature; principal axis. Optic center, focus, focal length. 

Refraction: laws of refraction.

An image formed by a convex lens; Functioning of a lens in the human eye; problems of vision and remedies. Applications of spherical mirrors and lenses.

Appreciations of a concept of refraction; the velocity of light: refractive index. a twinkling of stars; dispersion of light. Scattering of light.

Part 7:

Conservation of natural resources

Management of natural resources. Conservation and judicious use of natural resources. Forest and wildlife, coal, and petroleum conservation. People's participation. Chipko movement. Legal perspectives in conservation and international scenarios.

Regional environment: Big dams; advantages and limitations; alternatives if any. Water harvesting. Sustainability of natural resources.

Sources of energy: Different forms of energy, leading to different sources for human use: fossil fuels, solar energy, biogas, wind, water, and tidal energy; nuclear energy. Renewable versus non-renewable sources.

Find below the complete HPBOSE 10th syllabus for the Science and Technology practical examination.





Find the pH of the following samples using the pH paper/universal indicator

(i) Dilute Hydrochloric acid

(ii) Dilute NaOH solution

(iii) Dilute Ethanoic acid solution

(iv) Lemon juice

(v) Water

(vi) Dilute Sodium Bicarbonate Solution


To study the properties of acids and bases HCI & NaOH by their reaction with

(i) Litmus solution (Blue/Red)

(ii) Zinc metal

(iii) Solid Sodium Carbonate


To determine the focal length of

(i) Concave mirror

(ii) Convex lens by obtaining the image of a distant object.


To trace the path of a ray of light passing through a rectangular glass slab for different angles of incidence. Measure the angle of incidence, an angle of refraction, an angle of emergence and interpret the result.


. To study the dependence of current (1) on the potential difference (V) across a resistor and determine its resistance. Also, plot a graph between V and me.


To determine the equivalent resistance of two resistors when connected in series.


To determine the equivalent resistance of two resistors when connected in parallel.


To prepare a temporary mount of a leaf peel to show stomata.


To show experimentally that carbon dioxide is given out during respiration.


To study (a) binary fission in Amoeba and (b) budding in yeast with the help of prepared slides.


To determine the percentage of water absorbed by raisins.


To prepare So2 gas, observe its following properties and draw inferences in respect of

(i) odor

(ii) solubility in water

(iii) effect on litmus paper

(iv) action on acidified potassium dichromate solution.


To observe the action of Zn, Fe, Cu, and AI metals on the following salt solutions.

(i) ZnSO4 (aq.)

(ii) FeSO4 (aq.)

(iii) CuSo4 (aq.)

(iv) Al2 (SO4)3 (aq.)

Arrange Zn, Fe, Cu, and Al metals in the decreasing order of reactivity based on the above result.


To study the following properties of acetic acid (ethanoic acid).

(i) Odor

(ii) solubility in water

(iii) effect on litmus

(iv) reaction with sodium bicarbonate.

HPBOSE 10th Syllabus 2021 for English

Find below the complete HPBOSE 10th syllabus for the English examination of the year 2021.




Section-A: Reading


Two unseen passages of a total of 500 words with a variety of questions including 4 marks for vocabulary.

 Only prose passages will be used.

 One will be factual and the other will be literary.

 1. Passage 1-200 words (7 marks)- Four or five comprehension questions

 2. Passage 2 - 300 words (10 marks)- Four or five comprehension questions and two questions on vocabulary Marks for vocabulary does not exceed 4 marks.

17 marks/30 periods

Section-B: Writing

3. Letter Writing-One letter based on provided verbal stimulus and context. (6 marks)Types of the letter: Informal: Personal such as family and friends Formal: Letter of complaints, inquiry, requests, applications.

4. Writing a short paragraph on a given outline/ topic in about 60 words. (4 marks)

5. Composition: A short writing task based on a verbal and/or visual stimulus. (diagram, picture, graph, map, chart, table, flowchart, etc.) (6 marks)

16 marks

Section-C: Grammar

Question No. 6-11

A variety of short questions involving the use of particular structures within a context. Text types used include cloze, gap-filling, sentence completion,sentence-reordering, dialogue-completion, and sentence transformation (including combining sentences).

The Grammar syllabus will include the following areas for teaching :

1. Use of non- finite.

2. Sentence connectors: as since, while, then, just because, just, unit.

3. Clauses with what, where, and how.

4. Past Tense.

5. Modals: can, could, may, must, might. 

15 marks

Section-D: Text Books

Question12 & 13

 Two extracts from different prose lessons included in the Textbook (Approximately 100 words each) (5x2=10 marks)

 These extracts chosen from different lessons will be literary and discursive in nature.

Each extract will be of 5 marks. One mark in each extract will be for vocabulary. 4 marks in each passage will be used for testing local and global comprehension besides a question on interpretation.

 14. One out o two questions extrapolative in nature based on any one of the prose lessons from Textbook to be answered in about 80 words (05 marks)


15. One out of two questions on Drama Text (local and global comprehension question) (30-40 words) (3 marks)


Poetry (8 marks)

 16. One extract from a poem from the prescribed reader followed by two or three questions to test the local and global comprehension of the set text. The extract will carry three marks. (3 marks)

 17. Two out of three short answer type questions on the interpretation of themes and ideas contained in the poems to be answered in 30-40 words each. (5 marks)


Supplementary Reader

 18. One out of two questions from Supplementary Reader to interpret, evaluate, and analyze character, plot, or situations occurring in the lessons to be answered in about 100 words. (5 marks)

 19. One out of two short answer type questions of interpretative and evaluative nature based on lessons to be answered in 30-40 words. (4 marks)

 20. One out of two short answer type questions based on factual aspects of the lessons to be answered in 20-30 words. (2 marks) 

HPBOSE 10th Syllabus 2021 for Health Education and Physics

Find below the complete HPBOSE 10th syllabus for Health Education and Physics.




Major Games


Running Events - Sprints (including hurdles) and middle and long-distance events Emphasis is to be laid to correct starting and finishing techniques, running action including foot plantation and body carriage.

Jumping Events-Consolidation of a shot put and discus throw techniques and an introduction of fundamentals of javelin and hammer throw.

Participation in exercise schedules for improving different motor components namely speed, strength, endurance, flexibility, and coordinative abilities.

Note: (i) At this stage the student has to aim for his performance attainment and hence he should select one event for specialization. More than one event be chosen only if a logical relationship exists between them.

(ii) Introduction of basic rules related to the events.


(a) Repetition of previously learned skills

(b) Skills (floor Exercises)

Head Spring,Round of

(c) Vaulting Horse

Straddle vault on broad horse

Handspring on a broad horse

Take off and sitting on the long horse

Straddle from standing position on long horse

(d) Parallel Bars

Different kinds of mounts and dismounts

 One bar roll

Shoulder stand

'L' position hold

(e) Horizontal Bar

Different types of grips

 Back turn over

 One leg circle forward

Simple swing


(a) Repetition of skills learned in the previous class

(b) Skills (Floor exercises)

One hand cartwheel

Round off

(c) Balancing Beam

Dancing movements

 Running movements

Fount roll and back roll

Different balances

(d) Vaulting Horse

Straddle vault on broad horse

Wolf vault (side vault)

Cat spring and jump on a long horse







Supt-Pawan Muktasana





Surya Namaskar









Table Tennis




Note: Emphasis is to be laid on the consolidation of technique and learning of basic tactical patterns. These games are Played in full-size fields, if available. In case only a small play area is available, these games are played in modified form.

Participation in exercise schedules for improving different motor components namely speed, strength, endurance, flexibility, and coordinative abilities.

Introduction of basic rules related to the games.


Emphasis is to be laid on the consolidation of techniques of all strikes and learning of basic tactical patterns, using competitive distances.

Participation in exercise schedules for improving different motor components related to swimming.

Consolidation of water polo skills and dives.

Introduction to basic rules of swimming, water polo, and diving.

Note: At this stage, the student has to aim for high-performance attainment, and hence he should select one event for specialization. More than one event can be chosen only if logical


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