Bihar Board (BSEB) Question Paper for Class 10 Maths 2016

Unit

Important Topics

Marks

Algebra

Arithmetic Frequency, Polynomial,

Linear Equation & Quadratic Equation in Two variable

20

Geometry

Circle, Triangle, Texture

20

Trigonometry

Identities,

Trigonometric Effect,

Height and distance

20

Regulatory Geometry

Regulatory Geometry

10

Number Method

Actual Number

10

Mensuration

Area

Area of Flat Surface

10

Statistics and Probability

Statistics

   Probability

10

Unit Number

Unit Name

Chapter

Topics

Unit I

Number System

Chapter 1-Real Numbers

Fundamental Theorem of Arithmetic,

Euclid’s division lemma,

Decimal expansions of rational numbers,

Proofs of results – irrationality of √2, √3, √5.

Unit II

Algebra

Chapter 2- Polynomials

Zeros of a polynomial,

Link between zeros (0’s) and coefficients of a polynomial in context to quadratic polynomials, Statement and problems on division algorithms for polynomials having real coefficients

Chapter 3 - Pair of Linear Equations in Two Variables

Algebraic conditions for number of solutions,

Pair of Linear Equations in 2 Variables, Geometrical presentation of various possibilities of solutions,

Algebraic Solution of pair of linear equations in 2 variables

Chapter 4-Quadratic Equations

Standard quadratic equation in the form of ax2 + bx + c = 0, Solution of quadratic equations by factorization, Solution of quadratic equations using quadratic formula

Link between nature of roots and discriminant

Chapter 5- Arithmetic Progressions (AP)

Finding the nth  term,

find the sum of first n terms

Unit III

Trigonometry

Chapter 6- Introduction to Trigonometry

motivate the ratios, (defined at 0° and 90°,

Trigonometric ratios of a right-angled and an acute angle triangle, Values (with proofs) of the trigonometric ratios, Relationships between the ratios

Proof and applications of the identity

Chapter 7-Heights and Distances

Problems on heights and distances, Angles of depression/elevation must be only 30°, 45°, and 60°.

Unit IV

Coordinate Geometry

Chapter 8-Lines

Evaluating the concepts of coordinate geometry including graphs of linear equations, Distance between two points,

Sections formula

Unit V

Geometry

Chapter 9-Triangles

Definitions, examples,

Prove and Motivate

Chapter 10- Circles

Tangents to a circle motivated by chords,

Prove that tangent at any point of a circle is perpendicular to the radius,

 Prove that the lengths of tangents constructed from an outside point to a circle are equivalent

Chapter 11- Constructions

Construction of a triangle same as a given triangle,

Tangent to a circle from a point on its external,

Division of a line segment

Unit VI

Mensuration

Chapter 12- Areas Related to Circles

Area of sectors and segments of a circle,

Problems solving on areas, perimeter/circumference of the plane figures

Chapter 12-Surface Areas and Volumes

Problems solving on finding surface areas and volumes of combinations

Finding surface areas and volumes of cubes, cuboids, cones, cylinders, spheres, hemispheres,

Problems solving to  convert one type of metallic solid into another

Unit VII

Statistics and Probability

Chapter 13-Statistics

Mean, median and mode of grouped data,

Cumulative frequency graph

Chapter 14- Probability

Definition of probability,

Simple problems on single events