Candidates going to appear for CBSE Class 10th Board Exam must note that the Board has separate syllabus for internal assessment and theory exams. Complete detail about CBSE Class 10th Math Syllabus 2023-24 is given in the article below.
CBSE Class 10th Updated Syllabus for Math 2023-24
Before we discuss the topics of CBSE syllabus for class 10 math, Let us have a look at the unit wise scoring structure of Mathematics subject as given below:
Unit I : Number System
1. Real numbers
Fundamental Theorem of Arithmetic – Proof of irreducibility of, after illustrating and motivating by means of statements and examples, after review of earlier work.
Unit II: Algebra
1. Polynomial
Relation between zeroes 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. Algebraic solution of a pair of linear equations in two variables – by substitution, by elimination. Simple situational problems.
3. Quadratic equation
Standard form of the quadratic equation ax 2 + bx + c = 0, (a ≠ 0). Solution of quadratic equations (real roots only) by factorisation, and by using the quadratic formula.
4. Arithmetic Progressions
Motivation to study arithmetic progressions Derivation of nth term and sum of first n terms of an AP 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
A. Triangle
1. (Prove) If a line parallel to one side of a triangle is drawn to intersect the other two sides at distinct points, then the other two sides are divided in the same ratio.
2. If a line divides two sides of a triangle in the same ratio, then the line is parallel to the third side.
3. If the corresponding angles of two triangles are equal, their corresponding sides are proportional and the triangles are similar.
4. If the corresponding sides of two triangles are proportional, then their corresponding angles are equal and the two triangles are similar.
5. If an angle of one triangle is equal to an angle of another triangle and the sides joining these angles are proportional, then the two triangles are similar.
B. Circles
1. A tangent to a circle at any point is perpendicular to the radius passing 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 acute angles of a right triangle. The proof of their existence motivates the (well defined) ratio whatever is defined at 0o and 90o. Relation between the value ratios of the trigonometric ratios of 300, 450 and 600.
2. Trigonometric Identities
Proof and application of the identity sin 2 A + cos 2 A = 1 Only simple identities are to be given. 3 Height and Distances Angle of Elevation Angle of Depression (10) Simple problems on Heights and Distances. Problems should not involve more than two right triangles. The elevation/depression angle should be only 30° 45 and 60°.
Unit VI Mensuration
1. Areas related to Circles
Areas of sectors and segments of a circle. Problems based on area and perimeter/perimeter of the above plane figures. (Problems in calculating the area of a segment of a circle should be confined to central angles of 60°, 90° and 120° only.
2. Surface Area and Volume
Surface area and volume of combinations of any two of the following: Cube, cuboid, sphere, hemisphere and right circular cylinder/cone.
Unit VII: Statistics and Probability
1. Statistics
Mean, median and mode of grouped data (bi-modal situation should be avoided).
2. Probability
Classical Definition of Probability Simple problems of finding the probability of an event.
Internal assessment
- Pen Paper Test and Multiple Assessment (5+5) 10 Marks
- Department 5 points
- Lab Practical (Lab activities to be done from prescribed books) 5 marks
Prescribed Books
- Mathematics – Textbook for Class IX – NCERT Publication
- Mathematics – Textbook for Class X – NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, Class IX – CBSE Publication
- Guidelines for Mathematics Laboratory in Schools, Class X – CBSE Publication
- Laboratory Manual – Mathematics, Secondary Stage – NCERT Publication
- Maths Exemplar Problems for Class IX, NCERT Publication.
- Maths Example Problems for Class X, NCERT Publication
Frequently Asked Question (FAQ’s)
- What is the CBSE Class 10th Maths syllabus 2023-24?
The CBSE Class 10th Maths syllabus 2024 covers topics such as Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics and Probability. - Is CBSE Class 10th Maths syllabus 2023-24 difficult?
The difficulty level of the CBSE Class 10th Maths syllabus 2024 varies from student to student. However, with proper understanding and practice, students can score good marks in Maths. - How can I prepare for CBSE Class 10th Maths exam 2024?
To prepare for CBSE Class 10th Maths exam 2024, students can follow these tips: Understand the concepts thoroughly, Practice numerical problems, Solve previous year question papers and sample papers, Attend classes regularly and Clarify doubts from teachers. - Can I score good marks in CBSE Class 10th Math without coaching?
Yes, students can score good marks in CBSE Class 10th Maths exam 2024 without coaching. Self-study and practice are the keys to success. However, if a student feels the need for coaching, they can join a coaching institute. - Is NCERT book enough for CBSE Class 10th Maths exam 2024 preparation?
NCERT book is sufficient for CBSE Class 10th Maths exam preparation. It covers all the topics in detail and provides sufficient exercises for practice. However, students can refer to other reference books for additional practice.
