Maths formulas
Maths Formulas for Class 6, 7, 8, 9, 10 – All Chapters, Tables, PDF, Shortcuts
Searching for the most important maths formulas for Class 6 to 10? Welcome to Hodu Academy, your one-stop resource for CBSE and NCERT maths formulas! Our collection includes formula lists for Algebra, Geometry, Arithmetic, Trigonometry, Statistics and more – organized chapter-wise, class-wise, and designed for exam success.
These maths formula sheets are perfect for school revision, board exam prep, and building a strong foundation for Olympiads, NTSE, and competitive exams like JEE Main. We also provide quick-reference tables of important constants, symbols, and units at the end of this page.
Class 10 Maths Formula List
Class 10 Maths Formulas are a must-have for board toppers! Below are formula tables for all chapters, including Algebra, Geometry, Trigonometry, Mensuration, and Statistics. These formulas are vital for quick revision and MCQ solving.
| Chapter Name | Key Formulas & Concepts |
|---|---|
| Real Numbers | Euclid’s division lemma, HCF, LCM, Properties of irrational/rational numbers |
| Polynomials | Zeroes, Relationship with coefficients, Factorization |
| Pair of Linear Equations in Two Variables | Graphical/Solution methods, Substitution, Elimination |
| Quadratic Equations | ax² + bx + c = 0, Roots formula: x = [-b±√(b²-4ac)]/(2a) |
| Arithmetic Progression (AP) | nth term: aₙ = a + (n-1)d, Sum Sₙ = n/2[2a + (n-1)d] |
| Triangles | Similarity, Thales theorem, Areas, Basic Proportionality theorem |
| Coordinate Geometry | Distance, Section, Area of triangle formulas |
| Introduction to Trigonometry | sin, cos, tan, Sec, Cosec, Cot, Trig ratios, Identities |
| Applications of Trigonometry | Heights & distances, Angle of elevation/depression |
| Circles | Tangents, Properties, Number of tangents |
| Constructions | Division of line, Tangent constructions |
| Areas Related to Circles | Area = πr², Circumference, Sector, Segment formulas |
| Surface Areas and Volumes | Cube, Cuboid, Cylinder, Cone, Sphere, Frustum – Area/Volume |
| Statistics | Mean, Median, Mode (grouped data), Ogive, Cumulative frequency |
| Probability | Basic formula, Experimental vs Theoretical probability |
Class 9 Maths Formula List
Class 9 Maths Formulas are your essential toolkit for CBSE board prep and advanced problem-solving. These formulas cover Number System, Algebra, Geometry, Coordinate Geometry, Mensuration, and Statistics. Use the table below to quickly access chapterwise formula sheets for fast revision!
| Chapter Name | Key Formulas & Concepts |
|---|---|
| Number System | Types of numbers, Rational/Irrational, Laws of exponents, √, Decimal forms |
| Polynomials | Zeroes, Factor theorem, Algebraic identities, Expansion formulas |
| Coordinate Geometry | Cartesian plane, Distance formula, Section formula, Plotting points |
| Linear Equations in Two Variables | ax + by + c = 0, Solution methods, Graphs, Applications |
| Euclid’s Geometry | Definitions, Axioms, Postulates, Basic proofs |
| Lines and Angles | Types of angles, Linear pair, Properties, Parallel lines |
| Triangles | Congruence (SSS, SAS, ASA, RHS), Area formulas, Inequalities |
| Quadrilaterals | Types, Properties, Angle sum, Parallelogram properties |
| Areas of Parallelograms & Triangles | Area = ½ × base × height, Parallelogram area formulas |
| Circles | Chord, Arc, Tangent, Angles, Properties |
| Constructions | Bisectors, Perpendiculars, Triangles with compass & ruler |
| Heron’s Formula | s = (a+b+c)/2, Area = √s(s-a)(s-b)(s-c) |
| Surface Area and Volumes | Cube, Cuboid, Cylinder, Cone, Sphere – Surface area and Volume |
| Statistics | Mean, Median, Mode, Graphs, Data handling |
| Probability | Classical probability, Formula P(E) = Number of favourable/Total outcomes |
All Class 9 Maths formulas provided here follow NCERT & CBSE guidelines for 2024-25 exams.
Class 8 Maths Formula List
Class 8 Maths Formulas set the stage for advanced learning. Here’s your chapter-wise formula table for all topics, from Algebra to Data Handling!
| Chapter Name | Key Formulas & Concepts |
|---|---|
| Rational Numbers | Properties, Additive/multiplicative inverse, Representation on number line |
| Linear Equations | ax + b = c, Solution steps, Application problems |
| Understanding Quadrilaterals | Angle sum, Types, Properties of parallelogram, Trapezium, Kite |
| Practical Geometry | Construction of quadrilaterals, Steps, Properties |
| Data Handling | Bar graphs, Pie charts, Probability (basic) |
| Squares and Square Roots | Finding square root, Estimation, Properties |
| Cubes and Cube Roots | Finding cube root, Perfect cubes, Properties |
| Comparing Quantities | Percentage, Profit & Loss, Discount, Simple/Compound Interest |
| Algebraic Expressions | Addition, Subtraction, Multiplication, Factorization |
| Exponents and Powers | aⁿ × aᵐ = aⁿ⁺ᵐ, a⁰=1, Negative exponents, Laws |
| Mensuration | Area/Perimeter (Rectangle, Square, Trapezium, Circle), Volume |
| Factorization | Common factor, Grouping, Factorize algebraic expressions |
| Introduction to Graphs | Bar, Line, Pie, Cartesian plane basics |
Class 7 Maths Formula List
Class 7 Maths Formulas focus on key basics: Fractions, Decimals, Algebra, Geometry, and Mensuration. Use these for exam practice and homework help.
| Chapter Name | Key Formulas & Concepts |
|---|---|
| Integers | Addition, Subtraction, Properties, Multiplication/Division rules |
| Fractions & Decimals | Addition, Subtraction, Multiplication, Division, Reciprocal |
| Simple Equations | ax + b = c, Solving stepwise, Word problems |
| Lines and Angles | Types of angles, Adjacent, Vertically opposite, Properties |
| Triangles | Types, Angle sum property, Properties of isosceles/equilateral triangles |
| Ratio and Proportion | Ratio = a:b, Proportion, Unitary method |
| Data Handling | Mean, Median, Mode, Bar graphs, Double bar graph |
| Mensuration | Perimeter/Area (Square, Rectangle, Parallelogram, Triangle, Circle) |
| Algebraic Expressions | Types, Like/unlike terms, Addition/Subtraction, Value |
| Exponents and Powers | aⁿ × aᵐ = aⁿ⁺ᵐ, a⁰=1, Negative exponents |
Class 6 Maths Formula List
Class 6 Maths Formulas cover arithmetic basics, geometry, and algebra foundations. Refer to this table for your first formula sheet!
| Chapter Name | Key Formulas & Concepts |
|---|---|
| Knowing Our Numbers | Place value, Comparison, Large numbers, Roman numerals |
| Whole Numbers | Natural numbers, Properties, Addition, Multiplication |
| Playing with Numbers | Factors, Multiples, Prime/composite, Divisibility rules |
| Basic Geometrical Ideas | Point, Line, Segment, Ray, Plane, Angle types |
| Integers | Representation, Properties, Addition/Subtraction |
| Fractions | Types, Addition, Subtraction, Equivalent fractions |
| Decimals | Place value, Operations, Conversion |
| Data Handling | Pictograph, Bar graph, Tally marks |
| Mensuration | Perimeter/Area (Square, Rectangle, Triangle) |
| Algebra | Simple expressions, Patterns, Equations |
Important Mathematical Constants & Symbols
These mathematical constants and symbols appear in every chapter of middle and high school maths.
| Constant/Symbol | Meaning/Value |
|---|---|
| π (Pi) | 3.1416 (ratio of circumference to diameter of a circle) |
| e | 2.718 (base of natural logarithms) |
| √ | Square root |
| ∑ (Sigma) | Summation (addition of series) |
| Δ (Delta) | Change or difference |
| θ (Theta) | Angle (used in trigonometry) |
| ∞ (Infinity) | Endless, limitless value |
Common Maths Units & Conversions
Maths units appear throughout geometry, mensuration, and statistics. Mastering these will make calculations quick and accurate!
| Quantity | Standard Unit | Symbol | Conversions |
|---|---|---|---|
| Length | Metre | m | 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm |
| Area | Square metre | m² | 1 ha = 10,000 m², 1 m² = 10,000 cm² |
| Volume | Cubic metre | m³ | 1 m³ = 1000 L, 1 L = 1000 mL |
| Angle | Degree, Radian | °, rad | π rad = 180°, 1° = 60' |
| Time | Second | s | 1 min = 60 s, 1 hr = 60 min |
| Speed | m/s, km/h | m/s, km/h | 1 m/s = 3.6 km/h |
For free PDF downloads, practice questions, and maths video tutorials for every chapter, bookmark Hodu Academy Maths Resources and take your learning to the next level!