CBSE Class 10 Mathematics Syllabus & Exam Pattern 2025–26
CBSE Class 10 — Mathematics (NCERT)
Academic session: 2025–26 • Complete syllabus & exam pattern (condensed for WordPress)
Question Paper Pattern & Marking Scheme — Key Points
Sources: CBSE official syllabus and sample question paper (2025–26). :contentReference[oaicite:0]{index=0}
Complete Syllabus — Class X Mathematics (2025–26)
Syllabus and unit-wise weightage follow CBSE curriculum for 2025–26. Table lists units → chapter titles → concise 1–2 line learning outcomes. For full verbatim text consult the CBSE PDF. :contentReference[oaicite:1]{index=1}
| Unit | Chapter / Topic | 1–2 line summary / learning outcomes |
|---|---|---|
| Unit I — Number Systems (≈6 marks) | Real Numbers | Revision of irrationality proofs (√2, √3, √5), Fundamental Theorem of Arithmetic, and division algorithm; operations on real numbers and their properties. |
| Unit II — Algebra (≈20 marks) | Polynomials | Zeros of a polynomial, relationship between zeros and coefficients, remainder and factor theorem, and algebraic identities. |
| Pair of Linear Equations in Two Variables | Graphical and algebraic solution methods (substitution, elimination), consistency/inconsistency, and applications to word problems. | |
| Quadratic Equations | Nature of roots, solution by factorization and quadratic formula, relation between roots and coefficients, and contextual problems. | |
| Arithmetic Progressions (AP) | General term, sum of n terms, and applications to problem solving (e.g., evenly spaced sequences, financial examples). | |
| Unit III — Coordinate Geometry (≈6 marks) | Coordinate Geometry | Distance formula, section formula (internal division), area of triangle using coordinates and midpoint; basic applications in plane geometry. |
| Unit IV — Geometry (≈15 marks) | Triangles | Similarity of triangles, criteria (AA, SAS, SSS), properties of medians, altitudes, and application to geometry problems. |
| Circles | Properties of circles, tangent-secant theorems, cyclic quadrilaterals and angle properties relevant to problem solving. | |
| Constructions | Construction of triangles (SSS, SAS, RHS), bisectors, and locus problems using classical ruler-and-compass steps. | |
| Unit V — Trigonometry (≈12 marks) | Trigonometric Ratios & Identities | Trigonometric ratios of standard angles, identities, trig ratios of complementary angles, and solving height & distance problems using simple trig. |
| Unit VI — Mensuration (≈10 marks) | Areas & Volumes | Surface area and volume of solids (cylinder, cone, sphere), areas of parallelogram/triangles, and interconversion problems in geometry. |
| Unit VII — Statistics & Probability (≈11 marks) | Statistics | Mean, median, mode of grouped/ungrouped data, cumulative frequency, and graphical representation (histogram, ogive). |
| Probability | Classical definition of probability, simple experiments (coin, dice), and finding probabilities of single events (elementary level). |
Internal Assessment / School-Based Assessment (20 marks)
Internal assessment components (school-administered) typically include periodic tests, multiple assessments (quizzes/assignments), portfolio/classwork and projects. Schools must follow CBSE instructions for awarding the 20 marks. See official syllabus for any subject-specific breakdown. :contentReference[oaicite:3]{index=3}
Primary source: CBSE curriculum PDF and sample question paper for Mathematics (Code 041) — Academic Year 2025–26. For verbatim syllabus language, annexures and full list of competencies refer to the CBSE PDF. :contentReference[oaicite:4]{index=4}
