📐 Free Math Notes & Practice Quiz
Master numbers, patterns, and analytical thinking
Mathematics is the language of science and logic. From basic arithmetic to advanced calculus, it builds analytical thinking, problem-solving, and precise reasoning. For Class 10, 12 boards, JEE, and competitive exams, mathematics covers algebra, geometry, trigonometry, calculus, and statistics. Strong fundamentals in each area build exam confidence. Pick your class below to see all the chapters in order, then click Read for theory and Quiz to test yourself!
Start practicing Math free →🔢 Algebra & Number Theory
Equations, sequences, and combinatorics
- Quadratic Equations Class 11
Solving ax² + bx + c = 0 by factorization, formula, and completing the square - Sequences & Series Class 11
Arithmetic progressions, geometric progressions, and sums - Permutations & Combinations Class 11
Counting, arrangements, and selections - Sets & Functions Class 11
Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range - Complex Numbers Class 11
Standard form a+ib, modulus, argument, polar form, De Moivre theorem, and cube roots of unity - Binomial Theorem Class 11
Expansion of (a+b)^n, general term, middle term, binomial coefficients, and greatest term - Linear Inequalities Class 11
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane. - Mathematical Induction Class 11
A proof technique used to establish that a statement is true for every natural number, using a base case and an inductive step. - Linear Programming Class 12
Optimizing a linear objective function subject to linear constraints using the graphical corner point method.
📐 Trigonometry & Geometry
Angles, triangles, coordinates, and shapes
- Trigonometry Class 11
Ratios, identities, and applications in triangles - Coordinate Geometry Class 11
Points, lines, and curves on the Cartesian plane - Circles & Mensuration Class 11
Perimeters, areas, and volumes of 2D and 3D shapes - Conic Sections Class 11
Study circles, parabolas, ellipses, and hyperbolas as curves formed by intersecting a plane with a double cone, with their standard equations and key properties. - Inverse Trigonometric Functions Class 12
Restricting trig functions to make them invertible, the principal value branches of sin-inverse, cos-inverse, tan-inverse, and friends, and the key identities relating them.
∫ Calculus
Limits, differentiation, and integration
- Limits & Derivatives Class 11
Rate of change, differentiation rules, and applications - Integration Class 12
Indefinite and definite integrals, areas under curves - Differential Equations Class 12
Equations involving derivatives and their solutions - Application of Derivatives Class 12
Use derivatives to study rate of change, increasing and decreasing functions, tangents and normals, and maxima and minima, with classic optimization problems. - Continuity and Differentiability Class 12
When a function has no breaks (continuity) and when it has a well-defined slope (differentiability), plus rules for differentiating implicit, inverse trig, exponential, log, and parametric functions. - Application of Integrals Class 12
Using definite integrals to compute the area under a curve, the area between two curves, and the areas enclosed by standard curves like circles, parabolas, and ellipses.
📊 Statistics & Probability
Data analysis, distributions, and chance
- Statistics & Data Analysis Class 11
Mean, median, mode, standard deviation, and data interpretation - Probability Class 12
Chance, events, conditional probability, and Bayes theorem
🔲 Linear Algebra & 3D Geometry
Matrices, determinants, vectors, and geometry in three dimensions
- Matrices & Determinants Class 12
Matrix operations, determinants, inverses, and solving linear systems - Vector Algebra Class 12
Vectors, dot product, cross product, and geometric applications - Three Dimensional Geometry Class 12
Lines and planes in 3D space, direction cosines, distances, and angles