SEBA Assam HSLC Syllabus 2025-26 PDF Download (All Subjects); HSLC Half Yearly Syllabus 2025

1

Real Number

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 square root 2, 3, and 5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

2

Polynomial

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

3

Pair of Linear Equations in 2 variables

Pair of linear equations in two variables. Geometric representation of different possibilities of solutions/ inconsistency. Algebraic conditions for the number of solutions. Solution of a 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.

4

Quadratic Equations

Standard form of a quadratic equation ax2 + bx + c = 0, (a ¹ 0). Solution of quadratic equations (only real roots) by factorisation and by completing the square, i.e. by using the quadratic formula. Relationship between discriminant and nature of roots. Problems related to day-to-day activities to be incorporated.

5

Arithmetic Progression

Motivation for studying A.P. Derivation of standard results of finding the nth terms and the sum of the first n terms.

6

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 00 and 900. Values (with proof) of the trigonometric ratios of 300, 450 and 600. Relationship between the ratios. Trigonometric Identities: Proof and applications of the identity sin2 A + cos2A=1, sec2A - tan2A=1, cosec2A - cot2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles

7

Heights and Distances (Not from an examination point of view)

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, and 60 degrees.

8

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. Distance between two points and section formula (internal). Area of a triangle.

9

Triangles

Definitions, examples, and counterexamples of similar triangles. i) (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. ii) (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. iii) (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar. iv) (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar. v) (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. vi) (Motivate) 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. vii) (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides. viii) (Prove) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. ix) (Prove) In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, the angle opposite to the first side is a right angle.

10

Circles

Tangent to a circle at any point on it is motivated by chords drawn from points coming closer and closer to the point. i) (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. ii) (Prove) The lengths of tangents drawn from an external point to a circle are equal.

11

Constructions

i) Division of a line segment in a given ratio (internally). ii) Tangent to a circle from a point outside it. iii) Construction of a triangle similar to a given triangle.

12

Area Related to Circle

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

13

Surface Areas and Volumes

i) 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 a cone. ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with the combination of not more than two different solids.)

14

Statistics

Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

15

Probabilities

Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.

Theory total

Internal assessment

Grand total

1

Chemical Reactions

2

Acid, Bases & Salts

3

metals & Non-Metals

4

Carbon and its compounds

5

Periodic Classification of Elements

6

Life Processes

7

Control & Coordination

8

How do organisms reproduce

9

Heredity and Evolution

10

Light- Reflection & Refraction

11

Human Eye Colourful World

12

Electricity

13

Magnetic Effect of Electric Current

14

Source of Energy

15

Our Environment

History

Partition of Bengal, Swadeshi Movement

6

The Rise of the Gandhi Era and his role in the Freedom Movement

7

Anti-British rising and peasants' revolts in Assam

7

Indian freedom movement and national awakening in Assam

8

Cultural Heritage of India & North-East

7

Geography

Economic Geography

7

Environment and Environmental Problems

6

Geography of the World

8

Geography of Assam

14

Political Science

Indian Democracy

5

International Organisation - the United Nations Organisation and others

5

Economy

Money & Banking

5

Economic Development

5

Theory

90

Internal assessment

10

Grand total

100

Reading

Comprehension (two prose passages–one seen, another unseen)

Writing

(translation/substance writing (prose), essay/story writing, letter writing/ report writing

Grammar

All the grammar portion of class IX and determiners, tense forms, voice, narration, prepositions, vocabulary, synthesis of sentences, verb phrases, sentence correction (clauses, modals, etc.)

Literature

First Flight (Prose)

Poetry

Supplementary Reader

Theory

Internal Assessment

Practical

Total

All MIL

100

100

English

90

10

100

English (IL)

50

50

General Science

90

10

100

General Maths

90

10

100

Social Science

90

10

100

Elective Subjects

Assamese(E)

100

100

Bengali(E)

100

100

Boro(E)

100

100

Manipuri(E)

100

100

Nepali(E)

100

100

Hindi(E)

100

100

Advance Maths(E)

90

10

100

History(E)

100

100

Geography(E)

90

10

100

Sanskrit(E)

100

100

Computer Science(E)

80

20

100

Wood Craft(E)

40

60

100

Music(E)

30

70

100

Dance(E)

30

70

100

Fine Art(E)

40

60

100

Textile Design & Clothing(E)

50

50

100

Garment Designing(E)

30

70

100

Cane & Bamboo Technology(E)

40

60

100

Home Science(E)

70

30

100

Santhali(E)

100

100

Arabic(E)

100

100

Persian(E)

100

100