CBSE Class 10 Maths Syllabus 2023-24: Everything You Need to Know

BoardCBSE
Class10
Session2023-24
SubjectMathematics (041)
TypeSyllabus
Official Websitehttps://cbseacademic.nic.in
CBSE Class 10 maths syllabus (2023-24)

MATHEMATICS (Code No. 041)

CLASS – X (2023-24)

  • Theory – 80 Marks
  • Internal Assessment – 20 Marks

COURSE STRUCTURE CLASS –X

UnitsUnit NameMarks
INumber Systems06
IIAlgebra20
IIICoordinate Geometry06
IVGeometry15
VTrigonometry12
VIMensuration10
VIIStatistics & Probability11
Total80

UNIT I: NUMBER SYSTEMS

1. REAL NUMBER

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of the irrationality of √2, √3, √5.

UNIT II: ALGEBRA

1. POLYNOMIALS

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

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

Algebraic conditions for the number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.

3. QUADRATIC EQUATIONS

The standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using the quadratic formula. Relationship between discriminant and nature of roots.

Situational problems based on quadratic equations related to day-to-day activities to be incorporated.

4. ARITHMETIC PROGRESSIONS

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

UNIT III: COORDINATE GEOMETRY

COORDINATE GEOMETRY

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

UNIT IV: GEOMETRY

1. TRIANGLES

Definitions, examples, and counter examples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

2. CIRCLES

Tangent to a circle at the 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.

UNIT V: TRIGONOMETRY

1. INTRODUCTION TO TRIGONOMETRY

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0° and 90°. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities are 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°, and 60°.

UNIT VI: MENSURATION

1. AREAS RELATED TO CIRCLES

Area of sectors and segments of a circle. Problems based on areas and perimeter /circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angles of 60°, 90°, and 120° only.

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.

UNIT VII: STATISTICS AND PROBABILITY

1. STATISTICS

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

2. PROBABILITY

The classical definition of probability. Simple problems in finding the probability of an event.

List of Deleted Topics from NCERT:

Chapter Page No. Dropped Topics/Chapter
Chapter 1: Real Number 2-7
15-18
1.2 Euclid’s division lemma
1.5 Revisiting rational numbers and their decimal expansions
Chapter 2: Polynomials 33-37 2.4 Division algorithm for polynomials
Chapter 3: Pair of Linear Equations in Two Variables 39-46
57-69
3.2 Pair of linear equations in two variables
3.3 Graphical method of solution of a pair of linear equations
3.4.3 Cross-multiplication method
3.5 equation reducible to a pair of linear equations in two variables
Chapter 4: Quadratic Equations 76-88
91-92
4.4 Solution of a quadratic equation by completing the squares
Chapter 6: Triangles 141-144
144-154
6.5 Areas of similar triangles
6.6 Pythagoras theorem
Chapter 7: Coordinate Geometry 168-172 7.4 Area of a triangle
Chapter 8: Introduction to Trigonometry 187-190
193-194
8.4 Trigonometric ratios of complementary angles
Chapter 9: Some Applications of Trigonometry 195-196
205
9.1 Introduction
Chapter 11: Construction 216-222 11.1Introduction
11.2 Division of a line segment
11.3 Construction of tangents to a circle
11.4 Summary
Chapter 12: Areas Related to Circles 223
224-226
231-238
12.1 Introduction
12.2 Perimeter and area of a circle — A review
12.4 Areas of combinations of plane figures
Chapter 13: Surface Areas and Volumes 248-252
252-259
13.4 Conversion of solid from one shape to another
13.5 Frustum of a cone
Chapter 14: Statistics 289-294 14.5 Graphical representation of cumulative frequency distribution
Chapter 15: Probability 295-296
311-312
15.1 Introduction
Exercise 15.2 (Optional)

Download Class 10 Mathematics Syllabus for 2023-24 [PDF]

Also See:
CBSE Class 10 English Language & Literature Syllabus 2023-24
CBSE Class 10 Social Science Syllabus 2023-24
CBSE Class 10 Science Syllabus 2023-24
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