This section contains high school math cheat sheets, covering algebra, trigonometry, coordinate geometry and calculus. Each cheat sheet covers the summary of concepts and the most important formulas related to the particular chapter in a single page.
Currently there are 29 cheat sheets in total, with more to be added soon. Download them all !
Distance Formula, Section Formula, Equation of a Line: Passing through a given point and having given direction ratios or direction cosines, Equation of a Line passing through two points, Angle between two lines, Distance of a point from a line, Distance between parallel lines, Shortest distance between skew lines, Equation of a Plane: At a given distance from origin with known direction cosines of normal, Passing through a given point and known direction cosines of normal, Making given intercepts on the axes, Passing through a point and parallel to two lines, Passing through two points and parallel to a line, Passing through three noncollinear points, Angle between two planes, Angle between a line and a plane, Distance of a point from a plane, Distance between parallel planes  3D Geometry Cheat Sheet 380.44 KB


Area bounded by a curve with the X axis, Area bounded by a curve with the Y axis, Area bounded by two or more curves  Area under Curves Cheat Sheet 481.28 KB


Standard Equation, Equation with known center and radius, Equation with known endpoints of diameter, General Equation, Position of a point w.r.t. a Circle, Equation of Tangents: Slope Form and Point Form, Length of the Tangent from an External Point, Equation of Normal: Slope Form and Point Form, Chord of Contact, Chord with known MidPoint, Family of Circles, Angle of Intersection of Circles, Orthogonal Intersection, Radical Axis, Relative Position of Two Circles, Common Tangents to Two Circles  Circle Cheat Sheet 389.97 KB


A few identities and inequalities related to trigonometric ratios of angles of a triangle.  Conditional Trigonometric Identities Cheat Sheet 388.28 KB


Cartesian Coordinate System, Distance Formula, Section Formula, Internal Division, External Division, MidPoint, Area of a Triangle, Area of a Polygon, Collinearity of Points, Centers in a Triangle – Centroid, Incentre, Excentre  Coordinate Geometry Basics Cheat Sheet 486.41 KB


Definite Integrals Cheat Sheet  Definite Integration as a Limit of Sum, Properties of Definite Integrals, Inequalities involving Definite Integrals, Differentiation under the Integral Sign (Leibniz Rule)  Definite Integral Cheat Sheet 394.45 KB

Expansion of Determinants, Properties of Determinants, Product of two Determinants, Summation of Determinants, Differentiation of Determinants  Determinants Cheat Sheet 392.13 KB


Methods of solution of some first order ordinary differential equations: Variable separable, reducible to variable separable, homogeneous, reducible to homogeneous, linear and reducible to linear.  Differential Equations Cheat Sheet 399.06 KB


Differentiation using First Principle, Rules of Differentiation: Multiplication by a constant, Sum Rule, Difference Rule, Product Rule, Quotient Rule, Chain Rule, Differentiation of Parametric Functions, Logarithmic Differentiation, Higher Order Derivatives; Differentiation Formulas of elementary functions  Differentiation Cheat Sheet 365.95 KB


Standard Equation of an Ellipse, General Equation of an Ellipse, Parametric Equation of an Ellipse, Position of a point with respect to an Ellipse, Equation of Tangents: Slope Form, Point Form and Parametric Form, Point of Intersection of Tangents, Pair of Tangents from an external point, Equation of a Normal: Slope Form, Point Form and Parametric Form, Equation of a Chord with known end points, Equations of a Chord with known mid point, Equation of Chord of Contact, Some properties of the Ellipse  Ellipse Cheat Sheet 400.52 KB


f(x+a), f(x) + a, a.f(x), f(ax), f(x), f(x), f(x), y=f(x)  Graph Transformations Cheat Sheet 481.95 KB


Greatest integer of f(x): [f(x)], Function of Greatest integer of x: f([x]), Greatest Integer of y = f(x): [y] = f(x), Fractional part of f(x): {f(x)}, Function of fractional part of x: f({x}), Fractional part of y = f(x): {y} = f(x)  Advanced Graph Transformations Cheat Sheet 415.88 KB


Standard Equation of a Hyperbola, General Equation a Hyperbola, Parametric Equation a Hyperbola, Position of a point with respect to a Hyperbola, Equation of Tangents to a Hyperbola: Slope Form, Point Form and Parametric Form, Point of Intersection of Tangents, Pair of Tangents from an external point, Equation of the Normal: Slope Form, Point Form and Parametric Form, Equation of a Chord with known end points, Equations of a Chord with known mid point, Equation of Chord of Contact, Equation of Asymptotes, Angle between the Asymptotes, Some properties of the Hyperbola  Hyperbola Cheat Sheet 418.93 KB


Basic Formulas of Integration, Integration by Substitution – Substitution Methods for various functions, Special Integrals, Integration of Rational Functions using Partial Fractions, Integration by Parts  Indefinite Integrals Cheat Sheet 373.70 KB


Domain and Range of Inverse Trigonometric Functions, Identities related to Inverse Trigonometric Functions  Inverse Trigonometry Identities Cheat Sheet 148.71 KB


Inverse Trigonometric Functions Cheat Sheet (Graphs)  Arc Sin x Graph, Arc Cos x Graph, Arc Tan x Graph, Arc Cot x Graph, Arc Sec x Graph, Arc Cosec x Graph, Arc Sin (Sin x) Graph, Arc Cos (Cos x) Graph, Arc Tan (Tan x) Graph, Arc Cot (Cot x) Graph, Arc Sec (Sec x) Graph, Arc Cosec (Cosec x) Graph  Inverse Trigonometry Graphs Cheat Sheet 342.94 KB

Limits Cheat Sheet  Indeterminate Forms, Properties of Limits, Sandwich Theorem, L’Hôpital’s Rule, List of Common Limits / Formulas  Limits Cheat Sheet 368.32 KB

Logarithm Cheat Sheet  Definition, Properties of Logarithm, Inequalities of Logarithm, Graph of Log(x)  Log Cheat Sheet 484.56 KB

Truth Tables: Logical Conjunction, Logical Disjunction, Logical Negation, Logical Implication, Logical Equivalence, Exclusive Disjunction. Laws of Logic: Double Negation Law, Identity Laws, Idempotent Laws, Annihilation Laws, Commutative Laws, Associative Laws, Distributive Laws, Absorption Laws, De Morgan’s Laws  Mathematical Logic Cheat Sheet 629.18 KB


Matrix Cheat Sheet 
Addition of Matrices, Properties of Addition, Product of Matrices, Transpose of a Matrix, Properties of Transpose, Adjoint of a Matrix, Properties of Adjoint, Inverse of a Matrix, Properties of Inverse, Types of Matrices  Coming Soon 
Definition of Modulus Function, Examples, Properties Modulus function, Derivative of Modulus Function, Integral of Modulus Function, Equations and Inequations involving Modulus Function, Graph of Modulus Function  Modulus Function Cheat Sheet 614.81 KB


Parabola Cheat Sheet  Standard Equation, Equations with axes parallel to the coordinate axes, Equations with known focus and directrix, Parametric Equation, Position of a point with respect to a Parabola, Equation of Tangents: Slope Form, Point Form and Parametric Form, Point of Intersection of Tangents, Pair of Tangents from an external point, Equation of a Normal: Slope Form, Point Form and Parametric Form, Point of Intersection of Normals, Three Normals from a Point, Equation of a Chord with known end points, Equations of a Chord with known mid point, Equation of Chord of Contact, Some relations related to parametric equations, Some properties of the Parabola  Parabola Cheat Sheet 401.19 KB

Properties of Triangles Cheat Sheet  Sine Rule, Cosine Rule, Tangent Rule, Projection Formula, Area of a Triangle, Half Angle Formula, In Radius, Ex Radius, Distance between Circumcenter and Incentre, Distance between Circumcenter and Excentres, Distance between Circumcenter and Orthocenter, Distance between Orthocenter and Incenter,Distance between Incenter and Exccenters, Distance between Excenters, Inequalities in a Triangle  Properties of Triangles Cheat Sheet 127.38 KB

Quadratic Equations Cheat Sheet  Roots, Nature of roots: Real and Distinct, Real & Equal, Imaginary, Rational Roots, Integral Roots, Relation between roots and coefficients, Common Roots, Range of a quadratic function, Sign of a quadratic function, Graph of a quadratic function, Location of the roots of a quadratic equation  Quadratic Equations Cheat Sheet 497.35 KB

Set Notation, Subsets, Power Sets, Union of Sets, Intersection of Sets, Difference of Sets, Complement of Sets, Cartesian Product of Sets, Venn Diagrams, Laws of Union, Intersection, Difference and Complement  Sets Cheat Sheet 639.06 KB


Straight Line Cheat Sheet  Equations of a Straight Line – Parallel to Axes, SlopeIntercept Form, Intercept Form, PointSlope Form, TwoPoint Form, Parametric Form, General Form, Equations representing the same line, Angle between Lines, Point of Intersection, Concurrency of Lines, Distance of a Point from a Line, Distance between Parallel Lines, Position of point w.r.t. a Line, Angle Bisectors, Family of Lines, Pair of Straight Lines through Origin  Straight Line Cheat Sheet 386.51 KB

Finding angles and lengths of sides of a triangle, when some of them are known: Three sides, Three angles, Two sides and included angle, one side and two adjacent angles, one side one adjacent angle and one opposite angle, Two sides and an angle not included between them (Ambiguous Case),  Solution of Triangles Cheat Sheet 575.67 KB


Trigonometry Cheat Sheet  Basic Identities, Compound Angle Formulas, Multiple Angle Formulas, Submultiple Angle Formulas, Sum to Product Formulas, Product to Sum Formulas, Miscellaneous Formulas  Trigonometry Cheat Sheet 361.83 KB

Trigonometric Equations Cheat Sheet  Basic Trigonometric Equations: sinx = sinα, cosx = cosα, tanx = tanα, sin^{2}x = sin^{2}α, cos^{2}x = cos^{2}α, tan^{2}x = tan^{2}α
Special Cases: sinx = 0, sinx = 1, sinx = 1, cosx = 0, cosx = 1, cosx = 1, tanx = 0, cotx = 0 
Trigonometric Equations Cheat Sheet 298.21 KB

Vector Algebra Cheat Sheet  Scalar Multiplication, Vector Addition, Linear Combination, Dot Product, Cross Product, Scalar Triple Product, Vector Triple Product, Vector Quadruple Product, Geometrical Interpretations  Vector Algebra Cheat Sheet 472.47 KB

Equation of a line; Angle between two lines; Distance of a point from a line; Distance between parallel lines; Shortest distance between skew lines; Equation of the angle bisectors of two lines; Equations of a plane; Angle between two planes; Angle between a line and a plane; Distance of a point from a plane; Distance between parallel planes; Family of planes; Equation of the angle bisectors of two planes  Vector Geometry Cheat Sheet 135.79 KB

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