UP BOARD EXAM LATEST UPDATE
The Class 11 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 11 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 11 exams, and also take advantage of the complete information provided here for the final board exam.
Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) has announced class 12 Board exams date. This year class 12th board exam will be started from 24 February 2025 and will last upto 12 March 2025, it will take around 17 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 8 am to 11:15 am while the second shift exam will be from 2 pm to 5:15 pm. The first exam will be held on 24 February 2025 for Hindi & Military Science subject and the last exam will be held on 12 March 2025 for English & Health care etc. subject.
UP Board 12th practical exams will be held in two phases. The first phase of UPMSP 12th practical exams will be conducted from February 1 to 8, 2025 in the districts namely Aligarh, Meerut, Moradabad, Kanpur, Prayagraj, Mirzapur, Varanasi, and Gorakhpur. The second phase of UP Board 12th practical exams 2025 will be conducted from February 9 to 16, 2025 in the districts including Agra, Saharanpur, Bareilly, Lucknow, Jhansi, Chitrakoot, Ayodhya, Azamgarh, Devipatan, and Basti Mandals. UPMSP 12th pre-board exams will be held from 11 to 21 January 2025.
OFFICIAL SYLLABUS
| S.NO | CHAPTERS |
| 1 | Sets |
| 2 | Relations and Functions |
| 3 | Trigonometric Functions |
| 4 | Principle of Mathematical Induction |
| 5 | Complex Numbers and Quadratic Equations |
| 6 | Linear Inequalities |
| 7 | Permutations and Combinations |
| 8 | Binomial Theorem |
| 9 | Sequences and Series |
| 10 | Straight Lines |
| 11 | Conic Sections |
| 12 | Introduction to three Dimensional Geometry |
| 13 | Limits and Derivatives |
| 14 | Mathematical Reasoning |
| 15 | Statistics |
| 16 | Probability |
Unit-I: Sets and Functions
Chapter 1: Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal Set, Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set, Properties of Complement.
Chapter 2: Relations & Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of Relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation, Pictorial representation of a function, domain, co-domain, and range of A function. Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.
Chapter 3: Trigonometric Functions
Positive and negative angles, Measuring angles in radians and in degrees, and conversion from one measure to another. Definition of trigonometric functions with the help of unit circles. The truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy, and their simple applications. Deducing identities like the following:
tan (x±y) = tanx ± tany/ 1 -+ tanx tany
...
UP BOARD EXAM LATEST UPDATE
The Class 11 exams depend on the schools, as they decide when to conduct the exams. Usually, the Class 11 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 11 exams, and also take advantage of the complete information provided here for the final board exam.
Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) has announced class 12 Board exams date. This year class 12th board exam will be started from 24 February 2025 and will last upto 12 March 2025, it will take around 17 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 8 am to 11:15 am while the second shift exam will be from 2 pm to 5:15 pm. The first exam will be held on 24 February 2025 for Hindi & Military Science subject and the last exam will be held on 12 March 2025 for English & Health care etc. subject.
UP Board 12th practical exams will be held in two phases. The first phase of UPMSP 12th practical exams will be conducted from February 1 to 8, 2025 in the districts namely Aligarh, Meerut, Moradabad, Kanpur, Prayagraj, Mirzapur, Varanasi, and Gorakhpur. The second phase of UP Board 12th practical exams 2025 will be conducted from February 9 to 16, 2025 in the districts including Agra, Saharanpur, Bareilly, Lucknow, Jhansi, Chitrakoot, Ayodhya, Azamgarh, Devipatan, and Basti Mandals. UPMSP 12th pre-board exams will be held from 11 to 21 January 2025.
OFFICIAL SYLLABUS
| S.NO | CHAPTERS |
| 1 | Sets |
| 2 | Relations and Functions |
| 3 | Trigonometric Functions |
| 4 | Principle of Mathematical Induction |
| 5 | Complex Numbers and Quadratic Equations |
| 6 | Linear Inequalities |
| 7 | Permutations and Combinations |
| 8 | Binomial Theorem |
| 9 | Sequences and Series |
| 10 | Straight Lines |
| 11 | Conic Sections |
| 12 | Introduction to three Dimensional Geometry |
| 13 | Limits and Derivatives |
| 14 | Mathematical Reasoning |
| 15 | Statistics |
| 16 | Probability |
Unit-I: Sets and Functions
Chapter 1: Sets
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal Set, Venn diagrams, Union and Intersection of sets. Difference of sets, Complement of a set, Properties of Complement.
Chapter 2: Relations & Functions
Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R). Definition of Relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation, Pictorial representation of a function, domain, co-domain, and range of A function. Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, Signum, exponential, logarithmic, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.
Chapter 3: Trigonometric Functions
Positive and negative angles, Measuring angles in radians and in degrees, and conversion from one measure to another. Definition of trigonometric functions with the help of unit circles. The truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy, and their simple applications. Deducing identities like the following:
tan (x±y) = tanx ± tany/ 1 -+ tanx tany
cot (x±y) = cotx coty -+1 / coty ± cotx
sin alpha (±) sin beta = 2sin(1/2) (alpha ± beta) cos(1/2) (alpha -+ beta)
cos alpha + cos beta = 2cos(1/2) (alpha + beta) cos(1/2) (alpha - beta)
cos alpha - cos beta = - 2sin(1/2) (alpha + beta) sin(1/2) (alpha - beta)
Identities related to sin2x, cos2x, tan2x, sin3x, cos3xand tan3x. The general solution of trigonometric equations of the type sin y = sin a, cos y = cos a, and tan y = tan a.
Unit-II: Algebra
Chapter 4: Principle of Mathematical Induction
Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.
Chapter 5: Complex Numbers and Quadratic Equations
Need for complex numbers, especially 1, to be motivated by inability to solve some quadratic equations. Algebraic properties of complex numbers. Argand plane and polar
representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. The square root of a complex number.
Chapter 6: Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of the system of linear inequalities in two variables.
Chapter 7: Permutations and Combinations
The fundamental principle of counting. Factorial n.(n!) Permutations and combinations, derivation of Formulae form pr and ncr and their connections, simple applications.
Chapter 8: Binomial Theorem
Historical perspective, statement, and proof of the binomial theorem for positive integral indices. Pascal's triangle, General and middle term in binomial expansion, simple applications.
Chapter 9: Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P., and its sum, geometric mean (G.M.), the relation between A.M. and G.M. Formulae for the following special sums.
Unit-III: Coordinate Geometry
Chapter 10: Straight Lines
Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. The slope of a line and the angle between two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.
Chapter 11: Conic Sections
Sections of a cone: circles, ellipses, parabolas, hyperbolas, a point, a straight line, and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse, and hyperbola. Standard equation of a circle.
Chapter 12: Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Unit-IV: Calculus
Chapter 13: Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. The intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions. The definition of derivative relates to the slope of the tangent of the curve, the derivative of the sum, difference, product, and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit-V: Mathematical Reasoning
Chapter 14: Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases - consolidating the understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied by", "and", "or", "there exists" and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, the difference among contradiction, converse, and contrapositive.
Unit-VI: Statistics and Probability
Chapter 15: Statistics
Measures of Dispersion: Range, mean deviation, variance, and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different
variances.
Chapter 16: Probability
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
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