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21-08-2025
The CBSE Class 10 Mathematics syllabus has been revised from time to time in line with the National Curriculum Framework 2005 and the Focus Group on Teaching of Mathematics, ensuring it stays relevant to the evolving needs of learners.
This year’s curriculum gives greater importance to applications of concepts, motivating teachers to connect mathematics with real-life problems and other subject areas.
The curriculum aims to enhance students’ ability to:
The proposed syllabus covers number system, algebra, geometry, trigonometry, mensuration, statistics, graphs, and coordinate geometry—equipping students with a strong mathematical foundation.
To make learning engaging, mathematics will be taught through activities, puzzles, models, charts, patterns, experiments, and games, encouraging exploration and curiosity.
The revised curriculum is designed to help learners:
Develop awareness of social values, equality, and environment protection through mathematical learning.
| Unit | Topics | Key Competencies / Focus | Marks |
|---|---|---|---|
| I. Number Systems | - Fundamental Theorem of Arithmetic - Proofs of irrationality (√2, √3, √5) | - Understanding properties of real numbers - Application of Fundamental Theorem in problem-solving | 6 |
| II. Algebra | a) Polynomials: Zeros of a polynomial, relation between zeros & coefficients b) Pair of Linear Equations: Graphical and algebraic solutions (substitution, elimination) c) Quadratic Equations: Factorization, quadratic formula, discriminant, situational problems d) Arithmetic Progressions: nth term, sum of n terms, real-life problems | - Establish relation between algebraic & graphical solutions - Solve contextual word problems - Apply AP in daily life situations | 20 |
| III. Coordinate Geometry | - Distance formula - Section formula (internal division) | - Derive and apply formulas - Solve geometry-related problems using coordinates | 6 |
| IV. Geometry | a) Triangles: Similarity, Basic Proportionality Theorem, properties of similar triangles b) Circles: Tangents to a circle, theorems and applications | - Prove theorems logically - Apply properties of similarity and tangency | 15 |
| V. Trigonometry | a) Introduction: Trigonometric ratios of acute angles, simple proofs, relationships b) Identities: sin²A + cos²A = 1 and simple identities c) Heights & Distances: Simple problems (angles of elevation/depression – 30°, 45°, 60°) | - Understand & use trigonometric ratios and identities - Solve real-life word problems involving heights/distances | 12 |
| VI. Mensuration | a) Areas Related to Circles: Areas of sectors & segments b) Surface Areas & Volumes: Combinations of solids – cubes, cuboids, spheres, hemispheres, cones, cylinders | - Visualize and calculate areas/volumes of solids - Apply formulas in real-life contexts | 10 |
| VII. Statistics & Probability | a) Statistics: Mean, median, mode of grouped data (using direct, assumed mean, step-deviation methods) b) Probability: Classical definition, simple problems based on everyday life | - Interpret & analyze data - Apply probability to solve real-life problems | 11 |
| Cognitive Skill Level | Marks | Weightage (%) |
| Remembering & Understanding | 43 | 54% |
| Applying | 19 | 24% |
| Analyzing, Evaluating, and Creating | 18 | 22% |
| Total | 80 | 100% |
| Section | Type of Questions | Marks per Question | Number of Questions | Internal Choice Provided |
|---|---|---|---|---|
| A | MCQs | 1 | 20 | No |
| B | Short Answer | 2 | 5 | 2 Questions |
| C | Short Answer | 3 | 6 | 2 Questions |
| D | Long Answer | 5 | 4 | 2 Questions |
| E | Case-based integrated assessment | 1, 1, 2 (subparts) | 3 units (4 marks ea) | 2-mark subparts |
Students are encouraged to:
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