Maths Important Concepts, Formulae & Theorems (CBSE, IGCSE, IB, JEE, NEET)

Quick Revision for School Boards (CBSE/ICSE/IGCSE/IB), NEET, JEE & Olympiads – By Hodu Academy
Master Maths for every exam! Here’s your go-to page for all key maths concepts, definitions, formulae, theorems and results – selected by Hodu Academy’s Maths experts.
Perfect for last-minute revision, board exams (CBSE/ICSE/IGCSE/IB), NEET/JEE aspirants, and Olympiad toppers. Every topic is explained for both understanding and exam success.

Bookmark this page as your Maths cheat-sheet—latest for 2025, and fully mapped to CBSE, IGCSE & IB syllabi!
This page covers:
  • 300+ Important Maths concepts, definitions & theorems (IGCSE & IB compatible)
  • All key formulas for Boards, NEET, JEE & International syllabi
  • Basic to advanced results in Algebra, Geometry, Trigonometry, Calculus, Statistics & more
  • Quick explanations for common doubts
  • One-click links to practice questions and detailed notes

Why Use This Maths Cheat Sheet?

Mathematics is the foundation of all science and technology fields. Scoring high in Maths is crucial for NEET, JEE, Olympiads, CBSE, IGCSE, IB & international boards. But with so many formulas, definitions and properties, last-minute revision is tough.

This page helps you:
  • Revise hundreds of concepts in just a few minutes per chapter
  • Find all key formulas, theorems and results for every topic
  • Quickly lookup mathematical symbols, properties, and shortcuts
  • Zero in on what’s actually asked in exams—no distractions
  • Prepare confidently for IGCSE & IB Maths papers

Tip: Test yourself with Maths MCQ quizzes and formula flashcards for faster recall!

Complete Maths Important Concepts, Formulas & Theorems List

300+ must-know Maths topics for Boards & Competitive Exams (including IGCSE & IB)
Categories covered: Number System, Algebra, Geometry, Trigonometry, Mensuration, Calculus, Statistics, Probability, Vectors, Matrices, and more!
Mapped to: CBSE, ICSE, IGCSE, IB Diploma (SL & HL), NEET, JEE Main/Advanced & Olympiads
Additive and Multiplicative Identity Adjacent and Vertical Angles Algebra Symbols Area Of Hemisphere Area Of Hollow Cylinder
Area of Pentagon Area of Rectangle Bodmas Rule Branches of Mathematics Chance and Probability
Circumference of a Circle Congruence Of Triangles Construction of Angles Cuboid and Cube Decimals In Daily Life
Divisibility Rules Dot Product of Two Vectors Empirical Probability Equivalent Fractions Even Odd Prime Composite Numbers
Frequency Polygons Geometric Tools Integers Lines Maths Project
Number System Numeral System Odd Numbers Perfect Cube Of Numbers Perfect Numbers
Perpendicular Bisector Precision Prime Factorization of Hcf And Lcm Prime Numbers Probability and Statistics Symbols
Quadrilateral Reflection Symmetry Roman Numerals Set Theory Symbols Surface Area and Volume
Three Dimensional Shapes Triangular Numbers Trigonometry Trigonometry Table Two Lines Symmetry
Types of Angles Value of Pi Variables And Constants In Algebraic Expressions Z Score Table Addition Table
Algebraic Expression Algebraic Identities Apollonius Theorem Applications of Trigonometry Area of a Sphere
Area of Equilateral Triangle Area of Isosceles Triangle Area of Quadrilateral Area of Trapezium Area of Triangle
Area Segment Circle Ascending Order Average and Mean Basic Proportionality Theorem Bisection Method
Centroid Circumcenter of a Triangle Cm to inch converter Co-Prime Numbers Compound Interest
Coordinate Geometry Correlation Cos 30 Degrees Cube Cylinder
Difference Between Fraction And Rational Numbers Difference Between Percentage and Percentile Differential Equations Differentiation Formulas Even Numbers
Factorisation Frequency Distribution Table Statistics Graphical Representation HCF and LCM Height and Distance
Horizontal Line How to Find the Percentage of Marks? Math Tricks Maths Equations Mensuration
Obtuse Angled Triangle Odd Numbers Onto Function Pentagon Pentagonal Prism
Perimeter of Square Perimeter of Triangle Probability Profit and Loss Properties of a Triangle
Properties of Isosceles Triangle Rational Numbers Rational Numbers and Their Properties Real Number Relation between Mean, Median and Mode
Rhombus Rotation Semicircle Sin 30 Degrees Solving Linear Equations
Square Root Statistics Supplementary Angles Surface Area of a Hemisphere Surface Area of a Sphere
Surface Areas and Volume Symmetric and Skew Symmetric Matrix Tables of 2 to 30 The volume of a Cylinder Trapezium
Triangular Prism Trigonometric Ratios Types of Triangles Types of Vectors Value of Log Infinity
Value of Root 3 Value of Root 5 Vertical Line Volume of a Cube Volume of Hemisphere
Whole numbers Algebraic Identities Differentiation and Integration Greater Than and Less Than Symbols Laplace Transform
Linear Graph Trigonometric Ratios Orthocenter Orthogonal Matrix Square Root from 1 to 25
Log 0 Value Altitude of a Triangle Binary Subtraction Cayley Hamilton Theorem Diagonal Matrix
Difference Between Constants and Variables Difference Between Linear and Nonlinear Equations Geometric Progression Sum of GP Like Fractions Unlike Fractions Difference between Place Value and Face Value
Sin 60 Degrees Singular Matrix Value of Cos 120 Antilog Table Consistent And Inconsistent Systems
Cube Root of Unity Direct and Inverse Proportion Euclid Division Lemma Extrapolation Frustum of Cone
Greater Than Symbol Elementary Transformation of Matrix Integration Limits and Derivatives Methods of Integration
Polynomial Rational Numbers Between Two Rational Numbers Relations and Functions Relation and Its Types Right Circular Cone
Sequence and Series Square Root Of 4 Square Root Of 5 Square Root Of 7 Statements in Mathematical Reasoning
Trapezoids Binary Multiplication Definite Integral Square Root of 1 Value of sin 15
Continuity and Differentiability Axiomatic Definition of Probability Area Of Quadrant Rectangle Operations on Rational Numbers
Pascals Triangle Acute Angled Triangle Angle of Elevation Angle Sum Property of a Triangle Tables of 2 to 30
The volume of a Cylinder Trapezium Area of a Scalene Triangle Centroid of a Triangle Heptagon
Octagon Permutation and Combination Scalene Triangle Similar Triangles Surface Area of Cube
Surface Area of Cylinder Volume of Cone Volume of Cuboid Value of Log 1 Decimal Number System
Conversion of Units What is Proper Fraction? Rolle's Theorem Vertical Angles Trigonometry Values
Sec 0 Greatest Integer Function Mean Deviation & Frequency Distribution Concentric Circles Symmetry
Variance Laws of Exponents Length of Tangent Alternative Hypothesis Control Charts
Straight Angle LCM Of Two Numbers Bivariate Analysis Surds Square Root of 10
Cos 90 Value Prime Numbers and Composite Numbers Decimal to Binary Difference Between Square & Rhombus Symmetric Matrix
Relation Between Inch and cm Sin 45 Value Divisibility Rules For 13 Profit and Loss Percentage Linear Pair Of Angles
Line Segment Rational and Irrational Numbers Euclid Geometry Sec 30 Complimentary and Suplementary Angles
Square root and Cube Root LCM Nature of Roots of a Quadratic Equation Vertices, Faces and Edges Quadrilateral Angle Sum Property
Geometry Symbols Isosceles Triangle Numbers in Words Angle Between Two Planes Complex Numbers
Addition and Subtraction of Integers Natural Numbers and Whole Numbers Is 91 a Prime Number? Difference Between Cube and Cuboid Distributive Property
Difference Between Rhombus and Parallelogram Skip Counting Trigonometry Functions of Sum and Difference of Angles Logarithm Table Vector And Scalar Quantities
Data Organization PEMDAS Secant of a Circle Vector Space Angle Bisector Theorem
Mutually Exclusive Events Statistical Inference Difference Between Area and Volume How to Find Prime Numbers? 3D Shapes
Division of Line Segment Binary Addition Ordinate Line Graph Boolean Algebra
Latus Rectum of Conic Section Differential Equation And It's Types Involute Similarity of Triangles Simple Equations Application
Types of Polygon Equation of A Circle Law of Tangents Data Sets Binary to Octal Conversion
Rational Numbers on a Number Line Cross Section Construction of Triangle Circles Factors of 36
Probability Distribution Difference Between Parametric and Non-Parametric Test Number Patterns Whole Numbers Parts of Circle Square Root of 9
Parallel Lines Oblique Sketch Direct Proportion Cosine Rules Construction of Quadrilaterals
Right Circular Cylinder Hexadecimal number system Remainder Theorem Volume of a Prism Missing Numbers
Sec 90 Derivatives Multiple of 9 Metric System of Measurement Parallelogram, Trapezium and Kite
Cumulative Frequency Distribution Ratio to Percentage Factors of 98 Total Probability Theorem Commutative Property
Basic Set Theory Difference Between Area and Surface Area Identity Function Geometric Distribution Combination
Sum of Squares Factors of 25 Triangle Inequality Complement of a Set Factor of 105
Arc Categorical Data Construction of a Rhombus Hexadecimal to Octal Conversion Decimal Expansion of Rational Numbers
Distance Between Two Points Estimation of Numbers Multiplication Theorem of Probability Properties of Definite Integrals Right Angle Triangle Theorem
Section Formula in 3 Dimension Solids Trigonometric Equations Variance and Standard Deviation Disjoint Set
Application of Linear Equations Area and Perimeter Factors of 91 Concave Polygon Factors of 42
General Equation of a Line Factors of 100 Factors of a Number Multiplicative Inverse Linear Differential Equations
Inverse Cosine Fractional Part Function Definition of Signum function Trigonometric Functions  
Additive and Multiplicative Identity Adjacent and Vertical Angles Algebra Symbols Area Of Hemisphere Area Of Hollow Cylinder

Maths Must-Know Theorems & Properties

Important Theorems & Properties:
  • Pythagoras Theorem, Basic Proportionality Theorem, Mid-Point Theorem
  • Fundamental Theorem of Arithmetic, Euclid’s Division Lemma
  • Quadratic Formula, Factor Theorem, Remainder Theorem
  • Binomial Theorem, Pascal’s Triangle, Arithmetic & Geometric Progression
  • Area & Volume Formulas for all 2D & 3D Shapes
  • Properties of Triangles, Circles, Polygons & Quadrilaterals
  • Trigonometric Identities & Ratios, Law of Sines & Cosines
  • Properties of Matrices, Determinants, Vectors
  • Limits, Derivatives, Integration basics
  • Probability Theorems, Statistics Results (Mean, Median, Mode, SD, etc.)

Tips to Score 90+ in Maths

  • Memorize all important formulas and theorems (use this table daily!)
  • Practice a variety of conceptual and calculation-based questions
  • Revise definitions and properties regularly
  • Create your own mind maps for complex topics
  • Draw diagrams, graphs and label them correctly
  • Use Hodu Academy’s Maths quizzes for quick self-assessment
For PDF downloads, practice sheets, or doubts, Contact Hodu Academy now!
Your Maths Success, Our Commitment – Hodu Academy 🚀
Last modified: Friday, 11 July 2025, 7:32 PM