UP Board Class 11 Mathematics Syllabus 2026-27: Chapters & Marks

The UP Board Class 11 Mathematics Syllabus 2026-27 is prescribed by the Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP). The syllabus carries 100 marks and is divided into five units: Sets and Functions, Algebra, Coordinate Geometry, Calculus, and Statistics and Probability. The official syllabus specifies a 3-hour examination duration.

Students can check the complete unit-wise syllabus, marks distribution, important topics and the official PDF below.

The official syllabus covers five major units and assigns a total of 100 marks across them.

UP Board Class 11 Maths Syllabus 2026-27 Marks Distribution

The official UP Board Class 11 Mathematics syllabus is divided into five units. The unit-wise marks distribution is given below:

Unit 1: Sets and Functions — 28 Marks

Unit 1 carries 28 marks and covers Sets, Relations and Functions, and Trigonometric Functions.

1. Sets

This topic includes:

• Sets and their representation

• Empty, finite and infinite sets

• Equal sets

• Subsets and proper subsets

• Subsets of real numbers

• Intervals of real numbers, including representation using notation

• Universal set

• Venn diagrams

• Union and intersection of sets

• Difference of sets

• Complement of a set

2. Relations and Functions

The topics include:

• Ordered pairs

• Cartesian product of sets

• Number of elements in the Cartesian product of two finite sets

• Cartesian product of a set with itself

• Relations

• Domain, codomain and range of a relation

• Functions as a particular type of relation

• Graphical representation of functions

• Domain, codomain and range of functions

• Real-valued functions

• Constant, identity, polynomial, rational, modulus, signum and greatest integer functions

• Graphs of these functions

• Sum, difference, product and quotient of functions

3. Trigonometric Functions

This topic covers:

• Positive and negative angles

• Measurement of angles in radians and degrees

• Conversion between radians and degrees

• Definition of trigonometric functions using the unit circle

• Verification of identities for different values of x

• Signs of trigonometric functions

• Domain and range of trigonometric functions

• Graphs of trigonometric functions

• Expression of sin(x + y) and cos(x + y) in terms of sin x, cos x, sin y and cos y

• Standard trigonometric identities

• Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x

Unit 2: Algebra — 35 Marks

Unit 2 carries the highest weightage of 35 marks. It includes five major topics.

1. Complex Numbers and Quadratic Equations

Students will study:

• Need for complex numbers

• Complex numbers

• Algebraic properties of complex numbers

• Representation of complex numbers

• Square root of a negative real number

• Modulus and conjugate of a complex number

• Argand plane

• Polar representation of complex numbers

• Quadratic equations

• Conditions for solving quadratic equations

• Nature of roots

• Relationship between roots and coefficients

2. Linear Inequalities

This topic includes:

• Linear inequalities

• Algebraic solutions of linear inequalities

• Representation of solutions on the number line

3. Permutations and Combinations

The syllabus covers:

• Fundamental principle of counting

• Factorial notation

• Permutations and combinations

• Derivation of nPr and nCr formulae

• Relationship between permutations and combinations

• Simple applications

4. Binomial Theorem

Students will study:

• Historical background of the Binomial Theorem

• Statement of the Binomial Theorem

• Expansion for positive integral indices

• General term

• Middle term

• Simple applications of the Binomial Theorem

5. Sequences and Series

This topic includes:

• Sequences and series

• Arithmetic Progression (AP)

• Geometric Progression (GP)

• General term of a GP

• Sum of the first n terms of a GP

• Geometric mean

• Relationship between arithmetic mean and geometric mean

Unit 3: Coordinate Geometry — 15 Marks

Unit 3 carries 15 marks and focuses on coordinate geometry in two and three dimensions.

1. Straight Lines

The syllabus includes:

• Revision of two-dimensional coordinate geometry

• Slope of a line

• Angle between two lines

• Conditions for two lines to be parallel or perpendicular

• Different forms of the equation of a line

• Equation parallel to the axes

• Point-slope form

• Slope-intercept form

• Two-point form

• Intercept form

• Distance of a point from a line

• Distance between two parallel lines

2. Conic Sections

This topic introduces:

• Role of conic sections

• Circle

• Parabola

• Ellipse

• Hyperbola

• Degenerate forms of conic sections

• Circle in standard form

• Standard equations of parabola, ellipse and hyperbola

• Common properties of these conic sections

3. Introduction to Three-Dimensional Geometry

Students will learn:

• Coordinate axes and coordinate planes in three-dimensional space

• Coordinates of a point in three-dimensional space

• Distance between two points

Unit 4: Calculus — 10 Marks

Unit 4 carries 10 marks.

Limits and Derivatives

The syllabus includes:

• Derivative as the rate of change of distance with respect to time

• Intuitive understanding of limits

• Limits of polynomial functions

• Limits of rational functions

• Limits of trigonometric functions

• Definition of derivative

• Derivatives of functions

• Sum, difference, product and quotient of functions

• Derivatives of polynomial functions

• Derivatives of trigonometric functions

Unit 5: Statistics and Probability — 12 Marks

Unit 5 carries 12 marks and includes Statistics and Probability.

1. Statistics

The topics include:

• Measures of dispersion

• Mean deviation

• Variance

• Standard deviation

• Measures for grouped and ungrouped data

• Continuous and discrete frequency distributions

• Short-cut method for calculating variance and standard deviation

2. Probability

The syllabus includes:

• Occurrence and non-occurrence of events

• Events

• Complementary events

• 'Not' and 'and' events

• 'Or' events

• Mutually exclusive events

• Probabilistic view of probability

• Connection with probability concepts studied in previous classes

• Probability of an event

• Probability of 'not', 'and' and 'or' events

UP Board Class 11 Mathematics Remedial Unit Tests 2026-27

The official syllabus also specifies four unit tests under remedial teaching. These tests are conducted at the school level, and their marks are not included in the final result.

For the first unit test, the 20 marks consist of 10 marks for summer vacation homework and 10 marks for the unit test.

How to Prepare for UP Board Class 11 Maths 2026-27?

Students can follow a structured preparation plan based on the official unit-wise marks distribution.

1. Start with Algebra, as it carries the highest weightage of 35 marks.

2. Build strong fundamentals in Sets and Functions, which carries 28 marks.

3. Practise coordinate-based questions from Coordinate Geometry regularly.

4. Understand the basic concepts of limits and derivatives before solving application-based questions.

5. Revise formulas and concepts from Statistics and Probability regularly.

6. Practise questions after completing each unit instead of waiting until the end of the syllabus.

7. Use the official syllabus as a checklist while completing each topic.

Key Highlights of UP Board Class 11 Mathematics Syllabus 2026-27

• The Mathematics syllabus is for Class 11.

• The subject code is 131.

• The question paper carries 100 marks.

• The official examination duration is 3 hours.

• The syllabus has five units.

• Algebra has the highest weightage with 35 marks.

• Sets and Functions carries 28 marks.

• Coordinate Geometry carries 15 marks.

• Calculus carries 10 marks.

• Statistics and Probability carries 12 marks.

• Four remedial unit tests are prescribed during the academic session.