It is said that mathematics is the language of the universe. Almost all the theories in the physics law are governed or validated by mathematical verification through derivation. The number plays a great role even in our everyday life.
Whether you are going shopping, planning a family budget, constructing a bridge, or building, figuring out the mileage of the car you are going to purchase, decorating your home, landscaping, or anything you can possibly think of contains numbers or involves maths.
Maths has so much importance in our lives that handling it poorly will cost you badly in the future. This is why studying maths has become important. And if you are going to appear in a maths board exam it becomes more important from the academic point of view.
Good marks in maths can open up great avenues for you in the future. Getting good marks comes with solid foundational studies and what is better than being in the 10 class to set up a solid foundation?
Students who are appearing in the class 10 board exam must read this article as we have analyzed the CBSE Maths Class 10 Syllabus for 2025 in detail to help them prepare better not only for their board exam but also for their future.
What to cover -Topic-wise Syllabus Analysis
CBSE has recently rationalised its Class 10 Maths syllabus 2024-2025 and a lot of changes were made in the old syllabus. Below we are providing a detailed analysis of the class 10 maths syllabus. Go through each topic section-wise and mark in your book the topics that you are still there and cross across the topics that have been omitted.
CBSE Class X Math Syllabus For 2025
Out of a total of 100 marks, 80 marks are for the written exam distributed unit-wise as mentioned above, and 20 are for internal assessment which is divided as follows:
Detailed CBSE Class 10th Mathematics Syllabus 2024-2025
Let’s delve into the detailed CBSE syllabus topic by topic
UNIT I: NUMBER SYSTEMS
1. Real Numbers
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of
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 factorization, 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
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 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
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.
How to Study- Class 10 Maths Syllabus
We know how important maths is not only for exams but also for everyday life so one should study maths as if they are studying for everyday life. If you study this way then not only does maths become fun to learn but also we can get good marks effortlessly. But the question is how to do that. Well, we are here to guide you. Let’s go step by step to master the game of numbers:
-
After you have gone through the syllabus. Create a study schedule and divide the topics as per the schedule.
-
Now, as you proceed through the chapters, try to understand the basics of the chapters like, what the chapter is about, how that chapter is applicable in our day-to-day life, how this chapter can be applied in our daily activities, etc.
-
Let’s understand it with e.g. suppose you are studying the first chapter that talks about real numbers. This chapter talks about how to find our LCM and HCF. After you have learned how to do it, think about what its practical application is. Where in life can it be used? Suppose A seminar is being conducted by a Research Organisation, where the participants will be researchers from different fields. The number of researchers in Physics, Applied Mathematics, and Biology is 80, 64, and 108 respectively. Now tell me what will be the maximum number of participants from the same field seated in each room.?
-
The above question can only be solved only if you know LCM and HCF.
-
This is how you have to study the chapters and solve the questions.
Follow this technique for every chapter and I am sure even if you do not like studying maths you will start enjoying it.
Below we are providing some book recommendations for you that we think might be useful for you. Have a look!
PRESCRIBED BOOKS BY CBSE:
1. Mathematics – Textbook for class X – NCERT Publication
2. Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
3. Mathematics exemplar problems for class X, NCERT publication.
OTHER REFERENCE BOOK RECOMMENDATIONS:
-
Educart Maths Question Bank
-
Educart Maths Exemplar Solutions
-
Educart Maths Sample Paper
Finally, start your maths preparation as early as possible so that you get more time for revision. Practise as much as you can and start incorporating applied practice for maths into your day-to-day routine. Start thinking in terms of numbers this will make your maths phobia go away if any. This way not only you will enjoy doing maths but also maths will become fun to learn.