Bihar Board Class 10 Maths Syllabus 2024-25, Check Chapter-Wise Weightage, Preparation Tips

Bihar Board Class 10 Maths Syllabus 2024-25

Check the chapter-wise topics for Bihar Board Class 10 Maths Syllabus 2024-25 below:

Chapter 1: Real Numbers

The following topics are covered in this chapter:

• Euclid’s Division Lemma
• Fundamental Theorem of Arithmetic
• Rational and Irrational Numbers
• Proof of Irrationality of √2, √3, √5

Chapter 2: Polynomials

The Bihar Board class 10 chapter 2 contains the following topics:

• Zeroes of a Polynomial
• Relation Between Zeroes and Coefficient of Polynomials
• Problems on Division Algorithms for Polynomials

Chapter 3: Pair of Linear Equations in Two Variables

The topics in this chapter are:

• Geometric Representation of Different Possibilities of Solutions
• Solving Linear Equations using Substitution, Elimination, and Cross Multiplication Methods

Chapter 4: Quadratic Equations

The topics included in this chapter are as follows:

• Standard Form of Quadratic Equations
• Factorization for Solving Quadratic Equations
• Relation Between Discriminant and Nature of Roots

Chapter 5: Arithmetic Progressions

The topics covered in this chapter are given below:

• Understanding Arithmetic Progression
• Finding nth term of an AP
• Sum of AP

Chapter 6: Introduction to Trigonometry

Students must prepare the below topics from this chapter:

• Trigonometric Ratios
• Values of Trigonometric Ratios
• Trigonometric Identities
• Trigonometric Ratios of Complementary Angles

Chapter 7: Heights and Distances

The following are the topics covered in chapter 7 of Bihar Board Class 10 Maths Syllabus:

• Problems involving Two Right Triangles
• Angles of Elevation
• Angles of Depression

Chapter 8: Lines

The topics for chapter 8 includes:

• Concepts of Coordinate Geometry
• Graphs of Linear Equations
• Geometrical Representation of Quadratic Polynomials
• Distance Between Two Points
• Section Formula
• Area of a Triangle

Chapter 9: Triangles

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

• 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.
• If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
• If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
• If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
• 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.
• 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.
• The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
• 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.

Chapter 10: Circles

Students need to study the theorems related to tangents to a circle in the chapter 10 of class 10 maths syllabus.

• 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.

Chapter 11: Constructions

In this chapter, the following topics shall be covered:

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

Chapter 12: Areas Related to Circles

The topics to be covered in this chapter are:

• Area of a Circle
• Area of Sectors
• Segments of Circle
• Area and Perimeter/Circumference of Plane Figures

Chapter 13: Surface Areas and Volumes

Students must learn the below concepts in this chapter:

• Finding surface area and volume of combinations of any two - cubes, cuboids, spheres, hemispheres, right circular cylinders, cones, frustum of a cone.
• Converting one type of metallic solid into another.

Chapter 14: Statistics

For Statistics, students should learn the following formulas:

• Mean, median, and mode of grouped data
• Cumulative frequency graph

Chapter 15: Probability

The following topics are covered in this chapter:

• Definition of Probability
• Problems on Single Events

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