CBSE Class 10th Exam Date:17 Feb' 26 - 17 Feb' 26
CBSE board has released the date sheet for the class 10 annual examination 2025. The examination will run from 15 February 2025 to 18 March 2025. Mathematics is a core subject that requires not only theory-based knowledge but also analytical and problem-solving skills. Effective time management is one of the most important factors in achieving higher grades in mathematics. Students need to get a clear understanding of the exam pattern, marking scheme, and typology of questions to excel in exams.
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In this article,e we will discuss cbse class 10 maths syllabus for the 2025 year, the unit-wise weightage of maths class 10, the marking scheme for the class 10 exam and internal assessment, frequently asked topics in class 10 maths exam, basic and standard question paper design for class 10 maths 2025, effective tips to prepare for class 10 maths exam 2025, recommended books for cbse class 10 maths exam 2025.
The CBSE class 10 mathematics syllabus 2025 covers various topics like algebra, trigonometry, statistics, probability, and geometry. The exam paper is designed to challenge the critical thinking skills and problem-solving skills of students. The question paper is designed in two levels: standard and basic. Students can choose any of the two of their choice. The standard level is for students aiming to pursue higher studies in the maths field and basic is for students not opting for advanced mathematics for higher studies. The question paper follows a well-defined marking scheme which depends on both understanding and application of the theoretical knowledge.
The CBSE class 10 maths syllabus 2025 consists of a total of 7 units. Number systems is the first chapter covering real numbers. In the second chapter of algebra, students will learn about polynomials, pairs of linear equations in two variables, quadratic equations, and arithmetic progressions. Coordinate geometry is the third chapter. The fourth chapter geometry provides an understanding of circles and triangles. The fifth chapter trigonometry includes an introduction to trigonometry, trigonometric identities, and height and distances. Areas related to circles surfaces and volumes are covered in mensuration. The seventh chapter covers statistics and probability.
Unit | Topics | Periods |
UNIT I: Number Systems | Real Numbers | 15 periods |
UNIT II: Algebra | - Polynomials - Pair of Linear Equations in Two Variables - Quadratic Equations - Arithmetic Progressions | 8 periods 15 periods 15 periods 10 periods |
UNIT III: Coordinate Geometry | Coordinate Geometry | 15 periods |
UNIT IV: Geometry | - Triangles - Circles | 15 periods 10 periods |
UNIT V: Trigonometry | - Introduction to Trigonometry - Trigonometric Identities - Heights and Distances | 10 periods 15 periods 10 periods |
UNIT VI: Mensuration | - Areas Related to Circles - Surface Areas and Volumes | 12 periods 12 periods |
UNIT VII: Statistics and Probability | - Statistics - Probability | 18 periods 10 periods |
The CBSE class mark weightage for each unit of mathematics for the year 2025 is given in the following table:
Units | Unit Name | Marks |
I | Number Systems | 6 |
II | Algebra | 20 |
III | Coordinate Geometry | 6 |
IV | Geometry | 15 |
V | Trigonometry | 12 |
VI | Mensuration | 10 |
VII | Statistics & Probability | 11 |
Total | 80 |
Unit 1: Number Systems
Proofs of irrationality (numbers like $\sqrt{2}$, $\sqrt{3}$ and $\sqrt{5}$)
Fundamental theorem of arithmetic
Unit 2: Algebra
Zeros of polynomials: Finding zeros, the relationship between zeros and coefficients in quadratic polynomials.
Solution methods: Substitution and elimination methods
Consistency conditions
Solution techniques: solving quadratic equations using factorization and the quadratic formula
Discriminant analysis
Deriving the formulas for the nth term and the sum of the first nth terms and their applications.
Unit 3: Coordinate Geometry
Distance and section formulas for finding the distance between two points and dividing the line segments
Unit 4: Geometry
Similarity criteria (AA, SSS, SAS)
Basic proportionality theorem and its converse
Proof of tangent properties
Unit 5: Trigonometry
Trigonometric ratios, proving and applying basic identities
Solving problems of angle of elevation and depression
Unit 6: Mensuration
Surface areas and volumes of cubes, cuboids, hemispheres, spheres, cylinders, and cones.
Unit 7: Statistics and Probability
Calculating mean, mode, and median for grouped data
Probability of simple events
The total marks for CBSE class 10 mathematics is 100. The annual examination is for 80 marks and the internal assessment is for 20 marks. The total duration of the board exam is 3 hours. The detailed marking scheme for class 10 and the internal assessment are given below:
Examination Component | Marks |
Annual Examination | 80 marks |
Internal Assessment | 20 marks |
Internal Assessment | Marks |
Pen Paper Test and Multiple Assessment (5+5) | 10 Marks |
Portfolio | 05 Marks |
Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |
Total | 20 Marks |
Standard Question Paper Design
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 | Analyzing: 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% |
Basic Question Paper Design
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 | Analyzing: 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 new way by proposing alternative solutions. | 8 | 10% |
Total | 80 | 100% |
Start the preparation by completing the whole syllabus thoroughly and understanding the basic theorem and concepts.
Make sure to focus on the NCERT textbook for a clear understanding of the core concepts.
Solve all the examples and practice problems given in the units of NCERT textbooks. Also, try to solve the exercise problems given at the end of each unit.
Practice solving different types of problems regularly.
Memorize formulas and theorems for attempting questions based on their application.
Solve previous years’ question papers for a better understanding of the exam structure, marking scheme, and typology of problems.
Attempt sample papers and mock tests.
Work on speed and accuracy in solving problems
Solve questions under exam conditions for effective time management.
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
All in One Mathematics- Arihant
Secondary School Mathematics for Class 10- R S Aggarwal
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