BIHAR BOARD EXAM LATEST UPDATE
The Class 9 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 9 exams are held a few months before the final board exams. This gives you the opportunity to prepare for the final board exams and also mentally prepare for them. Therefore, it is better to contact your school regarding the Class 9 exams, and also take advantage of the complete information provided here for the final board exam.
Bihar School Examination Board [BSEB] has announced class 10 Board exams date. This year class 10th board exam will be started from 17 February 2025 and will last upto 25 February 2025, it will take around 9 days to complete the class 10th board exam. The board will conduct the class 10 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. Bihar Board Class 10th Practical Exams will be conducted from 21st January 2025 to 23rd January 2025. It is mandatory for all students to appear in each practical exam. Practical exams are conducted for 30/20 marks. Students will be given marks on the basis of project as well as oral exam which will be conducted by external examiners.
NCERT SYLLABUS
| CHAPTER |
| Number Systems |
| Polynomials |
| Coordinate Geometry |
| Linear Equations in Two Variables |
| Introduction to Euclid Geometry |
| Lines and Angles |
| Triangles |
| Quadrilaterals |
| Areas of Parallelograms and Triangles |
| Circles |
| Constructions |
| Heron’s Formula |
| Surface Areas and Volumes |
| Statistics |
| Probability |
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS
(i) Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
(ii) Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
(iii) Definition of nth root of a real number.
(iv) Rationalization (with precise meaning) of real numbers of the type (and their combinations) where x and y are natural number and a and b are integers.
(v) Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)
UNIT II: ALGEBRA
1. POLYNOMIALS
Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ? 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
2. LINEAR EQUATIONS IN TWO VARIABLES
Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.
UNIT III: COORDINATE GEOMETRY
COORDINATE GEOMETRY
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
UNIT IV: GEOMETRY
1. INTRODUCTION TO EUCLID'S GEOMETRY (Not for assessment)
History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them.
(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
2. LINES AND ANGLES
(i) (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180º and the converse.
(ii) (Prove) If two lines intersect, vertically opposite angles are equal.
(iii) (Motivate) Lines which are parallel to a given line are parallel.
...
BIHAR BOARD EXAM LATEST UPDATE
The Class 9 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 9 exams are held a few months before the final board exams. This gives you the opportunity to prepare for the final board exams and also mentally prepare for them. Therefore, it is better to contact your school regarding the Class 9 exams, and also take advantage of the complete information provided here for the final board exam.
Bihar School Examination Board [BSEB] has announced class 10 Board exams date. This year class 10th board exam will be started from 17 February 2025 and will last upto 25 February 2025, it will take around 9 days to complete the class 10th board exam. The board will conduct the class 10 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. Bihar Board Class 10th Practical Exams will be conducted from 21st January 2025 to 23rd January 2025. It is mandatory for all students to appear in each practical exam. Practical exams are conducted for 30/20 marks. Students will be given marks on the basis of project as well as oral exam which will be conducted by external examiners.
NCERT SYLLABUS
| CHAPTER |
| Number Systems |
| Polynomials |
| Coordinate Geometry |
| Linear Equations in Two Variables |
| Introduction to Euclid Geometry |
| Lines and Angles |
| Triangles |
| Quadrilaterals |
| Areas of Parallelograms and Triangles |
| Circles |
| Constructions |
| Heron’s Formula |
| Surface Areas and Volumes |
| Statistics |
| Probability |
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS
(i) Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
(ii) Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
(iii) Definition of nth root of a real number.
(iv) Rationalization (with precise meaning) of real numbers of the type (and their combinations) where x and y are natural number and a and b are integers.
(v) Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)
UNIT II: ALGEBRA
1. POLYNOMIALS
Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ? 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
2. LINEAR EQUATIONS IN TWO VARIABLES
Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.
UNIT III: COORDINATE GEOMETRY
COORDINATE GEOMETRY
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
UNIT IV: GEOMETRY
1. INTRODUCTION TO EUCLID'S GEOMETRY (Not for assessment)
History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them.
(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
2. LINES AND ANGLES
(i) (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180º and the converse.
(ii) (Prove) If two lines intersect, vertically opposite angles are equal.
(iii) (Motivate) Lines which are parallel to a given line are parallel.
3. TRIANGLES
(i) (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
(ii) (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
(iii) (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
(iv) (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
(v) . (Prove) The angles opposite to equal sides of a triangle are equal.
(vi) (Motivate) The sides opposite to equal angles of a triangle are equal.
4. QUADRILATERALS
(i) (Prove) The diagonal divides a parallelogram into two congruent triangles.
(ii) (Motivate) In a parallelogram opposite sides are equal, and conversely.
(iii) (Motivate) In a parallelogram opposite angles are equal, and conversely.
(iv) (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
(v) (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
(vi) (Motivate) In a triangle, the line segment joining the mid-points of any two sides is parallel to the third side and in half of it and (motivate) its converse.
5. CIRCLES
(i) (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
(ii) (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
(iii) (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
(iv) .(Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
(v) (Motivate) Angles in the same segment of a circle are equal.
(vi) (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
(vii) (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.
7. CONSTRUCTIONS
(i) Construction of bisectors of line segments and angles of measure 60o, 90o, 45o etc., equilateral triangles.
(ii) Construction of a triangle given its base, sum/difference of the other two sides and one base angle.
(iii) Construction of a triangle of given perimeter and base angles.
UNIT V: MENSURATION
1. AREAS
Area of a triangle using Heron's formula (without proof)
2. SURFACE AREAS AND VOLUMES
Surface areas and volumes of spheres (including hemispheres) and right circular cones.
UNIT VI: STATISTICS & PROBABILITY
1. STATISTICS
Bar graphs, histograms (with varying base lengths), and frequency polygons.
INTERNAL ASSESSMENT
1. Pen Paper Test and Multiple Assessment
2. Portfolio
3. Lab Practical (Lab activities to be done from the prescribed books).
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