The Central Board of Secondary Education (CBSE) has released the Class 10 Mathematics syllabus for 2024-25. Students can easily download the Class 10 Maths syllabus from the CBSE official website, cbseacademic.nic.in. The syllabus is designed to ensure that students are well-prepared for their academic journey. It acts as a guide for the students to prepare for the Class 10 board examinations and prepare them for the future. In this article, we have provided information related to the CBSE Class 10 Maths syllabus 2024-25. It consists of a marking scheme, question paper pattern etc.
CBSE Class 10 Maths Syllabus Structure 2024-25
The CBSE Class 10 Maths syllabus 2024-25 is divided into seven units, covering a wide range of topics. The mark distribution serves as a guide for the students. It helps them prepare for the Class 10 board examinations according to the weightage of different units. Below we have provided a table for CBSE Class 10 Maths syllabus 2024-25 with unit name along with its marks distribution.
Units | Unit name | Marks |
1 | Number systems | 6 marks |
2 | Algebra | 20 marks |
3 | Coordinate geometry | 6 marks |
4 | Geometry | 15 marks |
5 | Trigonometry | 12 marks |
6 | Mensuration | 10 marks |
7 | Statistics and Probability | 11 marks |
| Total | 80 marks |
CBSE Class 10 Maths Units and Chapters 2024-25
Check out the detailed syllabus of CBSE Class 10 Maths syllabus 2024-25 below:
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 a 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 ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorisation and by using quadratic formulas. Relationship between discriminant and nature of roots.
Situational problems based on quadratic equations related to day-to-day activities are 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 0o and 90o. Values of the trigonometric ratios of 300, 450 and 600. 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 Distance: 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
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 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 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.
CBSE Class 10 Maths Question Paper Pattern 2024-25
The CBSE Class 10 Maths syllabus 2024-25 has provided a typology of questions with their respective weightages. The standard question paper will comprise questions testing students’ ability to remember, understand, apply, analyse, evaluate and create. Check out the table below for the marks distribution and weightage.
S.no. | Typology of questions | Total marks | Weightage |
1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. | 43 marks | 54% |
Understanding: Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas. |
2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 19 marks | 24% |
3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations | 18 marks | 22% |
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 |
| Total | 80 marks | 100% |
CBSE Class 10 Maths Internal Assessment 2024-25
The CBSE Class 10 Maths Syllabus 2024-25 includes a comprehensive internal assessment of 20 marks. Check out the box given below for the marks distribution:
Internal Assessment mark distribution | Total Marks |
Pen-Paper Test and Multiple Assessment | 10 marks |
Portfolio | 5 marks |
Lab Practical (Lab activities to be done from the prescribed books) | 5 marks |
Total | 20 marks |
CBSE Class 10 Maths 2024-25 Prescribed Books
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 2024-25 Exam Preparation
Below are some of the tips students can use while preparing for the CBSE Class 10 board exams using the syllabus:
First, students must go through all the topics in the CBSE Maths syllabus of Class 10 carefully and make a study plan accordingly to cover each unit weekly/monthly.
Students must keep track of their progress regularly and seek guidance from their teachers for any doubts.
Refer to the latest NCERT Class 10 Maths books and reference guides and solve previous question papers.
Try to complete the entire syllabus of CBSE Class 10 Maths syllabus at least a month or two before the examination.
