CBSE Class 10 Mathematics Syllabus & Topic-Wise Weightage 2023

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Sl no.

UNIT

MARKS

1.

Number system

06

2.

Algebra

20

3.

Coordinate Geometry

06

4.

Geometry

15

5.

Trigonometry

12

5.

Mensuration

10

6.

Statistics & probability

11

Total

80

Internal Assessments

20

Total marks

100

No.

Unit name

Important Topics

I

Number Systems

1. Real number
Statements of the Fundamental Theorem of Arithmetic are made after analysing past work and after illuminating and inspiring with examples. proofs of irrationality.

II

Algebra

1. Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. Pair of Linear Equations in Two Variables
a pair of two-variable linear equations with a graphic representation of their consistency/inconsistency.
Algebraic requirements for the quantity of solutions. algebraic solution of two linear equations in two variables, using substitution and elimination. Situational problems that are easy.

1. Quadratic Equations
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic
equations (only real roots) by factorization, and by using quadratic formula. Relationship
between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be
incorporated.

2. Arithmetic Progressions
Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application.

III

Coordinate Geometry

Coordinate Geometry
Concepts of coordinate geometry, graphs of linear equations. Distance formula.
Section formula (internal division).

IV

Geometry

1. Triangles
Definitions, examples, counter examples of similar triangles.

2. Circles
Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

V

Trigonometry

1. Introduction to Trigonometry
A right-angled triangle's acute angle's trigonometric ratios. Evidence of their presence (well defined). the 300, 450, and 600 trigonometric ratio values. ratios and their relationships.

2. Trigonometric Identities

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given

3. Heights And Distances-Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

VI

Mensuration

1. Areas Related To Circles
area of a circle's sectors and segments. problems based on the surfaces and edges of the aforementioned planar models. (Only central angles of 60°, 90°, and 120° should be used for calculating the area of a section of a circle.

2. Surface Areas and Volumes
Surface areas and volumes of combinations of any two of the following: cubes, cuboids,
spheres, hemispheres and right circular cylinders/cones.

VII

Statistics & Probability

1. Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided).

2. Probability
Classical definition of probability. Simple problems on finding the probability of an
event.

CBSE Class 10 Maths Question Paper Design- Standard

Time - 3 Hours Max. Marks - 80

S. No.

Typology of Questions

Total Marks

% Weightage (approx.)

1.

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

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

43

54

2.

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

19

24

3.

Analysing: By identifying motives or causes analyse and break information into parts. 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

CBSE Class 10 Maths Question Paper Design- Basic

Time - 3 Hours Max. Marks - 80

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

08

10

Total

80

100