CBSE Class 10 Maths Syllabus 2026-27 Updated Curriculum and Course Structure PDF Download (Login Required)

Unit

Content

Competencies

Explanation / Learning Outcome

I. Number Systems

Real Numbers

1. Fundamental Theorem of Arithmetic

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

- Understands real numbers and their properties

- Extends powers and exponents

- Applies Fundamental Theorem of Arithmetic

- Describes Fundamental Theorem of Arithmetic

- Proves irrationality algebraically (√2, √3, √5, etc.)

II. Algebra

Polynomials:

1. Zeros of a polynomial

2. Relationship between zeros and coefficients

Pair of Linear Equations in Two Variables:

1. Graphical & algebraic solutions

2. Algebraic conditions for solutions

3. Contextual problems

Quadratic Equations:

1. Standard form

2. Solutions by factorization & formula

3. Discriminant & nature of roots

4. Situational problems

Arithmetic Progressions:

1. nth term and sum

- Links algebraic & graphical solutions

- Models & solves real-life problems

- Finds solutions algebraically and graphically

- Applies discriminant, factorization, and formula

- Applies AP concepts to daily life

- Finds zeros and relates to coefficients

- Plots and solves equations

- Uses substitution/elimination

- Solves quadratic equations

- Uses AP for nth term and sum

- Applies concepts to real-world scenarios

III. Coordinate Geometry

1. Review of coordinate geometry concepts

2. Distance formula

3. Section formula (internal division)

- Derives and uses formulae for distance & section

- Solves geometry problems on coordinate plane

- Finds distance between points

- Determines coordinates for division of a segment

IV. Geometry

Triangles:

1. Similar triangles & their properties

- Basic Proportionality Theorem

Circles:

1. Tangent properties

- Tangent perpendicularity

- Lengths of tangents

- Differentiates congruent/similar figures

- Establishes similarity of triangles

- Proves theorems on tangents

- Applies and proves similarity criteria

- Proves properties of tangents and solves related problems

V. Trigonometry

Introduction:

1. Trigonometric ratios

2. Values for standard angles

3. Relations between ratios

Identities:

1. sin²A + cos²A = 1

Heights & Distances:

1. Problems involving angles of elevation/depression

- Understands trigonometric functions

- Applies ratios and identities

- Solves heights & distances problems

- Evaluates ratios for standard angles

- Uses identities for problem solving

- Applies trigonometry to real-life scenarios

VI. Mensuration

Areas Related to Circles:

1. Sectors and segments

2. Perimeter/circumference problems

Surface Areas & Volumes:

1. Combinations of cubes, cuboids, spheres, hemispheres, cylinders, cones

- Uses formulae for areas and volumes

- Visualises combinations of solids

- Calculates areas, perimeters, surface areas, volumes

- Applies to complex shapes and real-life objects

VII. Statistics & Probability

Statistics:

1. Mean, median, mode (grouped data)

Probability:

1. Classical definition

2. Simple probability problems

- Calculates mean, median, mode

- Applies probability to daily events

- Computes using direct, assumed mean, step deviation

- Finds probabilities in simple real-life problems

S.No.

Typology of Questions

Total Marks

% Weightage (approx.)

1

Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas.

43

54%

2

Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques, and rules in a different way.

19

24%

3

Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations.

Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.

18

22%

Total

80

100%

Component

Marks

Pen Paper Test and Multiple Assessment (5+5)

10

Portfolio

5

Lab Practical (Lab activities from the prescribed books)

5

Total

20

S.No.

Typology of Questions

Total Marks

% Weightage (approx.)

1

Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas.

60

75%

2

Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques, and rules in a different way.

12

15%

3

Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations.

Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.

8

10%

Total

80

100%

Component

Marks

Pen Paper Test and Multiple Assessment (5+5)

10

Portfolio

5

Lab Practical (Lab activities from the prescribed books)

5

Total

20

S.No

Important Study Resources for Class 10 Maths

1.

Important Questions for Class 10 Maths

2.

CBSE Sample Paper Class 10 Maths

3.

Previous Year Question Paper for Class 10 Maths

4.

NCERT Exemplar for Class 10 Maths

5.

NCERT Books for Class 10 Maths

6.

NCERT Solution for Class 10 Maths

7.

Revision Notes for Class 10 Maths