The CBSE Class 10 Maths syllabus 2024-25 academic year is designed to equip students with a strong foundation in mathematical concepts and skills essential for their academic growth. This syllabus encompasses a wide range of topics, including algebra, geometry, trigonometry, statistics, and probability, aimed at fostering critical thinking and problem-solving abilities. As students delve into these subjects, they will enhance their analytical skills and prepare for higher studies. This article will provide an overview of the syllabus, highlighting key topics and the significance of mastering mathematics in today’s increasingly data-driven world.
CBSE Class 10 Maths Syllabus 2024-25
The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in the Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of
students. For motivating the teacher to relate the topics to real life problems and other subject areas, greater emphasis has been laid on applications of various concepts. The curriculum at Secondary stage primarily aims at enhancing the capacity of students to employ
Mathematics in solving day-to-day life problems and studying the subject as a separate discipline. It is expected that students should acquire the ability to solve problems using algebraic methods and apply the knowledge of simple trigonometry to solve problems of height and distances. Carrying out experiments with numbers and forms of geometry, framing hypothesis and verifying these with further observations form inherent part of Mathematics learning at this stage. The proposed curriculum includes the study of number system, algebra, geometry, trigonometry, mensuration, statistics, graphs and coordinate geometry, etc.
CBSE Class 10 Maths Syllabus 2024-25 Course Structure
CBSE Class 10 Maths Syllabus 2024-25 full course structure is given below.
| Units | Unit Name | Marks |
| I | NUMBER SYSTEMS | 06 |
| II | ALGEBRA | 20 |
| III | COORDINATE GEOMETRY | 06 |
| IV | GEOMETRY | 15 |
| V | TRIGONOMETRY | 12 |
| VI | MENSURATION | 10 |
| VII | STATISTICS & PROBABILTY | 11 |
| Total | 80 |
CBSE Class 10 Maths Syllabus 2024-25 Unit-wise Breakdown
- Number Systems (6 Marks)
- Real Numbers
- Algebra (20 Marks)
- Polynomials
- Pair of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progression
- Coordinate Geometry (6 Marks)
- Basics of coordinate geometry, distance formula, and section formula.
- Geometry (15 Marks)
- Triangles: Similarity criteria, basic proportionality theorem, and properties.
- Circles: Tangents and properties of tangents.
- Trigonometry (12 Marks)
- Introduction to Trigonometric Ratios, identities, and applications including heights and distances.
- Mensuration (10 Marks)
- Areas related to circles and surface areas and volumes of 3D shapes.
- Statistics and Probability (11 Marks)
- Statistics: Mean, median, mode for grouped data.
- Probability: Basic probability concepts.
Marks Distribution
- Total Marks for Theory: 80
- Internal Assessment: 20 Marks, comprising:
- Pen Paper Test and Multiple Assessment: 10 Marks
- Portfolio: 5 Marks
- Lab Practical: 5 Marks
CBSE Class 10 Maths Syllabus 2024-25 in Details
The CBSE Class 10 Mathematics syllabus for the academic year 2024-25 includes a comprehensive range of topics divided into seven units. Here’s a detailed overview:
UNIT I: NUMBER SYSTEMS
1. REAL NUMBER (15) Periods
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier andafter illustrating and motivating through examples, Proofs of irrationality of root 2, 3, 5.
UNIT II: ALGEBRA
1. POLYNOMIALS (8) Periods
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic
polynomials.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.
3. QUADRATIC EQUATIONS (15) Periods
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.7
4. ARITHMETIC PROGRESSIONS (10) Periods
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 (15) Periods
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
UNIT IV: GEOMETRY
1. TRIANGLES (15) Periods
Definitions, examples, 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 (10) Periods
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.8
UNIT V: TRIGONOMETRY
1. INTRODUCTION TO TRIGONOMETRY (10) Periods
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their
existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values
of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES (15) Periods
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. (10)Periods
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 (12) Periods
Area of sectors and segments of a circle. Problems based on areas and perimeter /
circumference of the above said plane figures. (In calculating area of segment of a
circle, problems should be restricted to central angle of 60°, 90° and 120° only.
2. SURFACE AREAS AND VOLUMES (12) Periods
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 (18) Periods
Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY (10) Periods
Classical definition of probability. Simple problems on finding the probability of an
event.
Question Paper Design
The exam structure includes different types of questions aimed at assessing various skills, including remembering, understanding, applying, analyzing, evaluating, and creating. The distribution is approximately:
- Remembering: 43 Marks (54%)
- Understanding: 19 Marks (24%)
- Applying and Analyzing: 18 Marks (22%)
Important Topics
Key focus areas include:
- Prime factorization and proofs of irrationality in Real Numbers.
- Relationship between zeros and coefficients in Polynomials.
- Graphical methods for solving Linear Equations.
- Properties of triangles and circles in Geometry
1. Mathematics – Textbook for class IX – NCERT Publication
2. Mathematics – Textbook for class X – NCERT Publication
3. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication
4. Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
5. Laboratory Manual – Mathematics, secondary stage – NCERT Publication
6. Mathematics exemplar problems for class IX, NCERT publication.
7. Mathematics exemplar problems for class X, NCERT publication.
CBSE Class 10 Maths Syllabus 2024-25 PDF Download
You can download the CBSE Class 10 Maths syllabus for the 2024-25 academic year by visiting the official website of the Central Board of Secondary Education (CBSE). Here’s how you can access it:
- Visit the official CBSE website: cbse.gov.in
- Navigate to the “Curriculum” section: Look for the “Curriculum 2024-25” tab on the homepage.
- Select the “Secondary Curriculum” option: Under this, choose Class 10.
- Download the Maths Syllabus: Find the Maths subject and click on the link to download the syllabus in PDF format.
Alternatively, I can guide you to trusted educational sites that offer direct PDF download links for the CBSE syllabus that is Syllabus4u. Click on the below to get the PDF.
CBSE Class 10 Maths Syllabus_2024-25
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