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Mathematics

CBSE Class 10

Real numbers, polynomials, linear equations, trigonometry, statistics. The foundation for every quantitative entrance exam.

Chapters

14 chapters in the NCERT syllabus. Each chapter has its own page with the chapter overview, what to read (NCERT section refs), and a mastery quiz. AI- generated concept notes are being authored progressively.

1. 1Real NumbersEuclid's division lemma, fundamental theorem of arithmetic, irrationality proofs.
2. 2PolynomialsGeometric meaning of zeroes, division algorithm, relationships between coefficients and zeroes.
3. 3Pair of Linear Equations in Two VariablesGraphical + algebraic methods (substitution, elimination, cross-multiplication).
4. 4Quadratic EquationsFactorisation, quadratic formula, nature of roots via discriminant.
5. 5Arithmetic Progressionsnth term, sum of n terms, applications.
6. 6TrianglesSimilarity, criteria for similarity, areas of similar triangles, Pythagoras theorem.
7. 7Coordinate GeometryDistance, section formula, area of a triangle.
8. 8Introduction to TrigonometryTrigonometric ratios, identities, complementary-angle relationships.
9. 9Some Applications of TrigonometryHeights + distances using angles of elevation and depression.
10. 10CirclesTangents to circles, theorems on tangent length from an external point.
11. 11Areas Related to CirclesSector + segment areas, composite figures.
12. 12Surface Areas and VolumesCombinations of solids, frustum of a cone.
13. 13StatisticsMean / median / mode for grouped data, cumulative frequency curves.
14. 14ProbabilityTheoretical (classical) probability of an event.

Other subjects in Class 10

• Science
• Social Science
• English (First Flight + Footprints)
• Hindi Course A (Kshitij + Kritika)
• Hindi Course B (Sparsh + Sanchayan)
• Computer Applications (Optional)