Bihar Board Class 10 Math Syllabus 2025-26: BSEB 10th Class Math Syllabus Download PDF

Real Numbers

Euclid’s Division Lemma and Algorithm, Fundamental Theorem of Arithmetic, Rational and Irrational Numbers

Polynomials

Geometric Meaning of The Zeroes, Zeroes, and Coefficients, Division Algorithm For Polynomials, Relation Between Zeroes and Coefficient of Polynomials, Problems on Division Algorithms for Polynomials

Pair of Linear Equations in 2 Variables

Graphical Solution to Linear Equations, Substitution Method, Elimination Method, Cross Multiplication Method, Equations Reducible to Linear Form

Quadratic Equations

Introduction to Quadratic Equations, Method of Completing The Square, Nature of Roots, Equations Reducible to Quadratic Form

Arithmetic Progression

Introduction to Arithmetic Progression, nth Term of A.P., Sum of n Terms of A.P., Word Problems of A.P.

Coordinate Geometry

Distance Formula, Section Formula, Area of Triangles

Introduction to Trigonometry

Trigonometric Ratios, Trigonometric Tables, Trigonometric Ratios of Complementary Angles, Introduction to Trigonometric Identities, Applications of Trigonometric Identities

Some Applications of Trigonometry

Introduction to Heights and Distances, Applications of Heights and Distances

Triangles

Basic Proportionality Theorem, Topic 2 – Converse of BPT, Criteria For Similar Triangles, Problems on Similar Triangles, Areas of Similar Triangles, Pythagoras Theorem, Problems on Pythagoras Theorem.

In this chapter, students have to study the following theorems and their proof:

• The other two sides of a triangle are divided in the same ratio if a line is drawn parallel to one side and intersects the other two at distinct points.
• A line is parallel to the third side of a triangle if it divides the first two sides in the same ratio.
• If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
• Two triangles are similar if their respective sides are proportionate, their corresponding angles are equal, and they are similar.
• A pair of triangles are similar if their angles are equal and the sides that include these angles are proportionate.
• 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 each other.
• The ratio of the squares on the corresponding sides of two similar triangles equals the ratio of their areas.
• In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
• In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

Circles

Tangents to a Circle, Properties of Tangents

Students need to study the theorems related to tangents to a circle.

• 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.

Construction

• Division of a line segment in a given ratio internally.
• Tangent to a circle from a point outside it.
• Construction of triangle.

Areas Related to Circles

Areas and Circumference of a Circle, Areas of Sectors and Segments, Areas of Combination of Figures

Surface Areas and Volumes

Surface Area: Combination of Solids, Volume: Combination of Solids, Conversion of Solids, Frustum of A Cone

Statistics

Arithmetic Means of Grouped Data, Mode of Grouped Data, Median of Grouped Data, Relation Between Central Tendencies, Cumulative Frequency Curve

Probability

A Classical Approach to Probability, Applications of Probability