Class 10 Mathematics Syllabus, Chapters & Solved Examples
CBSE Class X Mathematics across number systems, algebra, coordinate geometry, geometry, trigonometry, mensuration, statistics and probability.
Class 10 Mathematics chapters
Aligned to the CBSE Class X Mathematics 2026–27 syllabus (Standard/Basic share the prescribed content structure).
Real Numbers
Fundamental theorem of arithmetic and irrationality.
Polynomials
Zeros and coefficients of quadratic polynomials.
Pair of Linear Equations in Two Variables
Graphical and algebraic solution.
Quadratic Equations
Factorization, formula and nature of roots.
Arithmetic Progressions
nth term and sums.
Coordinate Geometry
Distance and section formula.
Triangles
Similarity and proportionality.
Circles
Tangents and radius relationships.
Introduction to Trigonometry
Ratios and standard angles.
Trigonometric Identities
Identity-based simplification.
Heights and Distances
Elevation/depression applications.
Areas Related to Circles
Sector and segment areas.
Surface Areas and Volumes
Combined solids.
Statistics
Grouped mean, median and mode.
Probability
Classical probability.
A repeatable learning system
1. Diagnose
Start with a short concept check so the tutor knows exactly what the learner understands and where the gaps are.
2. Explain visually
Build the idea with diagrams, analogies, worked reasoning and real-life context before asking the learner to memorise a rule.
3. Guided practice
Tutor solves one model problem, then the learner solves a similar problem with progressively less help.
4. Retrieval & exam practice
Use short recall checks, mixed questions, board-style applications and error correction rather than passive rereading.
5. Progress loop
Track weak concepts, homework accuracy and test performance, then adjust the next session around evidence.
