# HPBOSE 10th Syllabus 2021

HPBOSE class 10th syllabus publishes on the official website - hpbose.org, 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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## 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.org

### HPBOSE 10th Syllabus 2021 for Mathematics

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

 Part Units Discription 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:  Algebra Polynomials 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: Trigonometry 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: Geometry 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. Constructions 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: Mensuration 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 Description 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 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.

 No Experiments Types 1 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 2 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 3 To determine the focal length of (i) Concave mirror (ii) Convex lens by obtaining the image of a distant object. 4 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. 5 . 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. 6 To determine the equivalent resistance of two resistors when connected in series. 7 To determine the equivalent resistance of two resistors when connected in parallel. 8 To prepare a temporary mount of a leaf peel to show stomata. 9 To show experimentally that carbon dioxide is given out during respiration. 10 To study (a) binary fission in Amoeba and (b) budding in yeast with the help of prepared slides. 11 To determine the percentage of water absorbed by raisins. 12 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. 13 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. 14 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.