CBSE Class 10 Maths Syllabus 2025-26: Download PDF & Full Exam Pattern

Latest CBSE Class 10 Maths Syllabus 2025-26 – Get the official syllabus with a chapter-wise breakdown, marking scheme, and expert study tips. Download the official PDF at the end!

Overview of CBSE Class 10 Maths Syllabus 2025-26

The Class 10 CBSE syllabus for Maths (Standard and Basic) is crucial for board exams and sets the foundation for higher classes. The 2025-26 syllabus includes competency-based questions, increased focus on application-based learning, and internal assessments.

Course Structure: Class X (2025-26)

Annual Examination
Time: 3 Hours
Total Marks: 80 (Theory) + 20 (Internal Assessment) = 100

Detailed Syllabus

Unit I: Number Systems (6 Marks)

1. Real Numbers

• Fundamental Theorem of Arithmetic: Finding HCF and LCM using prime factorization.
• Proving irrationality of numbers like √2, √3, √5.
• Real-life applications of these concepts.

Unit II: Algebra (20 Marks)

2. Polynomials

• Finding zeros of polynomials (especially quadratic).
• Relationship between zeros and coefficients (e.g., sum and product of roots).
• Graphical and algebraic methods.

3. Pair of Linear Equations in Two Variables

• Graphical solution: Consistent or inconsistent systems.
• Algebraic methods: Substitution and Elimination.
• Solving real-life situational problems.

4. Quadratic Equations

• Standard form: ax² + bx + c = 0 (a ≠ 0).
• Solving by factorization and quadratic formula.
• Nature of roots using discriminant (D = b² - 4ac).
• Real-life word problems.

5. Arithmetic Progressions (AP)

• Understanding AP and its terms.
• nth term formula: aₙ = a + (n-1)d.
• Sum of n terms: Sₙ = n/2 [2a + (n-1)d].
• Applications in daily life (e.g., savings, steps).

Unit III: Coordinate Geometry (6 Marks)

6. Coordinate Geometry

• Distance Formula: √[(x₂ - x₁)² + (y₂ - y₁)²].
• Section Formula (internal division): [(mx₂ + nx₁)/(m+n), (my₂ + ny₁)/(m+n)].
• Solving problems using these formulas.

Unit IV: Geometry (15 Marks)

7. Triangles

• Basic Proportionality Theorem (BPT): Prove and apply.
• Converse of BPT (state only).
• Similarity criteria: AA, SSS, SAS (state only).
• Solving problems on similar triangles.

8. Circles

• Tangent properties:
  • Tangent is perpendicular to radius at the point of contact (prove).
  • Tangents from an external point are equal (prove).
• Problem-solving with tangents.

Unit V: Trigonometry (12 Marks)

9. Introduction to Trigonometry

• Trigonometric ratios (sin, cos, tan) for acute angles.
• Values at 0°, 30°, 45°, 60°, 90°.
• Relationships between ratios (e.g., tan θ = sin θ / cos θ).

10. Trigonometric Identities

• Prove and use: sin²A + cos²A = 1 (simple identities only).
• Solving problems with identities.

11. Heights and Distances

• Angle of elevation and depression.
• Simple problems using 30°, 45°, 60° angles (max 2 right triangles).

Unit VI: Mensuration (10 Marks)

12. Areas Related to Circles

• Area of sectors and segments.
• Problems on perimeter and area (central angles: 60°, 90°, 120° only).

13. Surface Areas and Volumes

• Combinations of two solids: cubes, cuboids, spheres, hemispheres, cylinders, cones.
• Calculate surface area and volume for real-life objects.

Unit VII: Statistics and Probability (11 Marks)

14. Statistics

• Mean, median, mode for grouped data (no bimodal cases).
• Methods for mean: Direct, Assumed Mean, Step Deviation.
• Algebraic methods for median and mode.

15. Probability

• Classical definition: P(E) = Favorable outcomes / Total outcomes.
• Simple probability problems based on real-life events.

Question Paper Design

Total Marks: 80
Time: 3 Hours

Mathematics - Standard (Code 041)

Mathematics - Basic (Code 241)

• Note: Basic is simpler, with more focus on recall and less on higher-order thinking compared to Standard.

Internal Assessment (20 Marks)

• Pen-Paper Test + Multiple Assessment: 5 + 5 = 10 marks
• Portfolio (Classwork, Assignments): 5 marks
• Lab Practical (Activities from prescribed books): 5 marks

Prescribed Books

1. Mathematics Textbook for Class X - NCERT
2. Guidelines for Mathematics Laboratory (Class X) - CBSE
3. Laboratory Manual - Mathematics (Secondary Stage) - NCERT
4. Mathematics Exemplar Problems (Class X) - NCERT

Best Study Tips for CBSE Class 10 Mathematics

Follow NCERT Thoroughly

• 90% of questions come from NCERT textbooks.
• Solve all examples, exercises, and "Try These" questions.
• Use NCERT Exemplar for tricky problems.
• Practice Previous Year Papers
• Solve at least 5 years’ papers to understand trends.
• Time yourself to improve speed (3-hour practice).

Bonus: CBSE Class 10 Maths Case-Study Based Questions

Download CBSE Class 10 Maths Syllabus 2025-26 PDF

Click the button below to download the official CBSE syllabus PDF for 2025-26.

📂 Download CBSE Class 10 Maths Syllabus PDF

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