CBSE Class 10 Maths Syllabus 2024-25: Download from here the new CBSE syllabus for Class 10 Mathematics for the academic year 2024-2025. Check the complete syllabus for course content and examination pattern.
CBSE Class 10 Maths Syllabus 2024-2025: The Central Board of Secondary Education (CBSE) has released the syllabus for all subjects of Class 10. Here's the detailed syllabus of CBSE Class 10 Mathematics prescribed for the new academic session 2024-2025. The new syllabus is comprehensive, outlining the chapters and topics to be covered throughout the year. It also mentions the exam pattern and criteria for evaluating the 20 marks assigned for internal assessment. The syllabus for the Standard and Basic versions of Mathematics is the same; however, the question paper in the Standard version will be of a higher difficulty level than the Mathematic Basic paper.
It is to be noted that there’s no significant change in the syllabus as compared to last year. The exam pattern also remains unchanged with increased weightage assigned to competency-based questions and MCQs for the year-end board exam. However, with the board introducing two board exams in one academic year, we can expect certain modifications in the exam pattern or course structure. Any updates by the board will be provided here.
Check the complete syllabus below:
CBSE Class 10 Mathematics Syllabus 2024-2025
Below is mentioned the unit-wise weightage for CBSE class 10 maths exam 2024-25:
CBSE Class 10 Maths Chapter-Wise Weightage 2024-2025 | ||
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 & PROBABILITY | 11 |
Total | 80 |
CBSE Class 10 Maths Course Content for 2024-2025
UNIT 1: NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5
UNIT 2: 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 number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax^{2} + 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.
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 3: COORDINATE GEOMETRY
1. Coordinate Geometry
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
UNIT 4: GEOMETRY
1. TRIANGLES
Definitions, examples, counter examples of similar triangles.
- (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.
- (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (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, point of contact
- (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (Prove) The lengths of tangents drawn from an external point to a circle are equal.
UNIT 5: 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^{o} and 90^{o}. Values of the trigonometric ratios of 30^{0} , 45^{0} and 60^{0}. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin^{2}A + cos^{2}A = 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°, and 60°.
UNIT 6: 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 area of segment of a circle, problems should be restricted to central angle 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 7: STATISTICS AND 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 Internal Assessment
Internal assessment for CBSE Class 10 Mathematics for the year 2024-25 will be conducted based on the following components:
Components | Marks |
Pen Paper Test and Multiple Assessment (5+5) | 10 |
Portfolio | 05 |
Lab Practical (Lab activities to be done from the prescribed books) | 05 |
Total | 20 |
Question Paper Design for CBSE Class 10 Mathematics(Standard)
Mathematics-Standard QUESTION PAPER DESIGN CLASS – X (2024-25) 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 | 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 |
Question Paper Design for CBSE Class 10 Mathematics (Basic)
Mathematics-Basic QUESTION PAPER DESIGN CLASS – X (2024-25) 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 |
PRESCRIBED BOOKS for CBSE Board Class 10 Math:
- Mathematics - Textbook for class X - NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
- Laboratory Manual - Mathematics, secondary stage - NCERT Publication
- Mathematics exemplar problems for class X, NCERT publication.
Download CBSE Class 10 Maths Syllabus 2024-2025 PDF
Also Read:
NCERT Book for Class 10 Maths (Revised)
NCERT Exemplar Solutions for Class 10 Maths