Key Summary & High-Yield Concept Takeaways
Curated by senior faculty at Hodu Academy for fast revision, formula derivations, and standard board & competitive exam marking schemes.
- ✓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
Maths Important Concepts, Formulae & Theorems (CBSE, IGCSE, IB, JEE, NEET)
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!
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:
Tip: Test yourself with Maths MCQ quizzes and formula flashcards for faster recall!
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
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!
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