Maths Formulas for Class 11

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 11 just for you. You can use this as a go-to sheet whenever you want to prepare Class 11 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 11.

Maths Formulas for Class 11 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 11 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 11 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 11. Candidates can use the handy learning aid Maths Formulas PDF to have in-depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 11 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

List of Maths Formulas for 11th Class – Here is a list of Maths formulas for CBSE class 11.

Coordinate Geometry & Line Formula

Coordinate Geometry & Lines Formulas for Class 11

Algebra Formula-

Algebra Formulas For Class 11
Distributive Property a(b+c)=a×b+a×c
Commutative Property of Addition a+b=b+a
Commutative Property of Multiplication a×b=b×a
Associative Property of Addition a+(b+c)=(a+b)+c
Associative Property of Multiplication a×(b×c)=(a×b)×c
Additive Identity Property a+0=a
Multiplicative Identity Property a×1=a
Additive Inverse Property a+(−a)=0
Multiplicative Inverse Property a⋅(\(\frac {1}{a}\))=1
Zero Property of Multiplication a×(0)=0

Trigonometric Formula-

Trigonometry Class 11 Formulas
sin(−θ)=−sinθ
cos(−θ)=cosθ
tan(−θ)=−tanθ
cosec(−θ)=−cosecθ
sec(−θ)=secθ
cot(−θ)=−cotθ
Product to Sum Formulas
sinx siny = \(\frac {1}{2}\)[cos(x–y)−cos(x+y)]
cosx cosy = \(\frac {1}{2}\)[cos(x–y)+cos(x+y)]
sinx cosy = \(\frac {1}{2}\)[sin(x+y)+sin(x−y)]
cosx siny = \(\frac {1}{2}\)[sin(x+y)–sin(x−y)]

Sum to Product Formulas

FAQs on Class 11 Maths Formulas

1. Where can I get Maths Formulas for Class 11?

You can find the list of all Maths Formulas pertaining to Class 11 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 11 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 11 Formulas.

3. Is there a Website that provides all Maths formulas for Class 11?

Students can make use of our website to access all the Class 11 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 11 will make your learning effective. You can simply click on the Topics to view the Class 11 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas For Class 7

Maths Formulas For Class 7

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 7 just for you. You can use this as a go-to sheet whenever you want to prepare Class 7 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 7.

Maths Formulas for Class 7 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 7 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 7 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 7. Candidates can use the handy learning aid Maths Formulas PDF to have in depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 7 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Proportion Formula Rules:
Addition: \(\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\)
Subtraction: \(\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}\)
Multiplication: \(\frac{a}{b}=\frac{c}{d}\), then a*d = b*c
Division : \(\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}\)
Set properties:
Commutative property: AB=BA AB=BA
Associative property:(AB)C=A(BC) (AB)C=A(BC)
Algebraic Expression Expansion:
(a+b)2²=a²+2ab+b²
(ab)²=a²2ab+b²
a2²b²=(a+b)(ab)
(x+a)(x+b)=x²+x(a+b)+(ab)

Maths Formulas For Class 7 1
Maths Formulas For Class 7 2

FAQs on Class 7 Maths Formulas

1. Where can I get Maths Formulas for Class 7?

You can find the list of all Maths Formulas pertaining to Class 7 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 7 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 7 Formulas.

3. Is there a Website that provides all Maths formulas for Class 7?

Students can make use of our website to access all the Class 7 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 7 will make your learning effective. You can simply click on the Topics to view the Class 7 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas For Class 8

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 8 just for you. You can use this as a go-to sheet whenever you want to prepare Class 8 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 8.

Maths Formulas for Class 8 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 8 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 8 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 8. Candidates can use the handy learning aid Maths Formulas PDF to have in depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 8 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Class 8 Maths Formulas List

Geometry Shapes Formulas for Solid Shapes:
Maths Formulas For Class 8

Geometry Shapes Formulas for 2D Shapes:

Geometric Area Geometric Area Formula
Square a2
Rectangle a × b
Circle πr2
Ellipse πr1r2
Triangle ½(b × h)

Algebra Formulas for Class 8

Some important 8th class formulas related to Algebra are:

Algebraic Identities For Class 8
(a + b)= a+ 2ab + b2
(a − b)= a− 2ab + b2
(a + b) (a – b) = a– b2
(x + a) (x + b) = x+ (a + b)x + ab
(x + a) (x – b) = x+ (a – b)x – ab
(x – a) (x + b) = x+ (b – a)x – ab
(x – a) (x – b) = x– (a + b)x + ab
(a + b)= a+ b+ 3ab (a + b)
(a – b)= a– b– 3ab (a – b)

FAQs on Class 8 Maths Formulas

1. Where can I get Maths Formulas for Class 8?

You can find the list of all Maths Formulas pertaining to Class 8 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 8 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 8 Formulas.

3. Is there a Website that provides all Maths formulas for Class 8?

Students can make use of our website to access all the Class 8 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 8 will make your learning effective. You can simply click on the Topics to view the Class 8 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas For Class 9

Maths Formulas For Class 9

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 9 just for you. You can use this as a go-to sheet whenever you want to prepare Class 9 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 9.

Maths Formulas for Class 9 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 9 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 9 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 9. Candidates can use the handy learning aid Maths Formulas PDF to have in depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 9 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Class 9 Math Formula Tables

Geometry Shapes Formulas for Class 9
Geometric Figure Area Perimeter
Rectangle A= l × w P = 2 × (l+w )
Triangle A = (1⁄2) × b × h P = a + b + c
Trapezoid A = (1⁄2) × h × (b1+ b2) P = a + b + c + d
Parallelogram A = b × h P = 2 (b + h)
Circle A = π r2 C = 2 π r
Algebraic Identities For Class 9
(a+b)2=a22+2ab+b22
(a−b) 2=a2−2ab+b2
(a+b)(a–b)=a2–b2
(x+a)(x+b)=x2+(a+b)x+ab
(x+a)(x–b)=x2+(a–b)x–ab
(x–a)(x+b)=x2+(b–a)x–ab
(x–a)(x–b)=x2–(a+b)x+ab
(a+b) 3=a3+b3+3ab(a+b)
(a–b)3=a33–b3–3ab(a–b)
(x+y+z) 2=x2+y2+z2+2xy+2yz+2xz
(x+y–z) 2=x2+y2+z2+2xy–2yz–2xz
(x–y+z) 2=x2+y2+z2–2xy–2yz+2xz
(x–y–z) 2=x2+y2+z2–2xy+2yz–2xz
x3+y3+z3–3xyz=(x+y+z)(x2+y2+z2–xy–yz−xz)
x2+y2=\(\frac {1}{2}\) [(x+y) 2+(x–y) 2]
(x+a)(x+b)(x+c)=x3+(a+b+c)x2+(ab+bc+ca)x+abc
x3+y3=(x+y)(x2–xy+y2)
x33–y3=(x–y)(x2+xy+y2)
x2+y2+z2−xy–yz–zx=\(\frac {1}{2}\) [(x−y) 2+(y−z) 2+(z−x) 2]<

FAQs on Class 9 Maths Formulas

1. Where can I get Maths Formulas for Class 9?

You can find the list of all Maths Formulas pertaining to Class 9 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 9 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 9 Formulas.

3. Is there a Website that provides all Maths formulas for Class 9?

Students can make use of our website to access all the Class 9 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 9 will make your learning effective. You can simply click on the Topics to view the Class 9 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas For Class 6

Maths Formulas For Class 6

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 6 just for you. You can use this as a go-to sheet whenever you want to prepare Class 6 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 6.

Maths Formulas for Class 6 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 6 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 6 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 6. Candidates can use the handy learning aid Maths Formulas PDF to have in depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 6 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

List of Maths formulas for class 6

Formulas Related to Number System
\(\sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\)
\((\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})=a-b\)
\((a+\sqrt{b})(a-\sqrt{b})=a^{2}-b\)
\((\sqrt{a}+\sqrt{b})^{2}=a+2\sqrt{ab}+b\)
\(a^{p}a^{q}=a^{p+q}\)
\((a^{p})^{q}=a^{pq}\)
\(\frac{a^{p}}{a^{q}}=a^{p-q}\)
\(a^{p}b^{p}=(ab)^{p}\)
If a and b are integers, to rationalise the denominator of \(\frac{1}{\sqrt{a}+b}\) multiply it by \(\frac{\sqrt{a}-b}{\sqrt{a}-b}\)
Integer Properties : For any integers a and b,
Addition of integers is commutative a + b = b + a
Addition of integers is associative a + ( b + c ) = ( a + b) + c
0 is the identity element under addition a + 0 = 0 + a = a
Multiplication of integers is commutative. a x b = b x a
1 is the identity element under multiplication 1 x a = a x 1 = a

Mensuration Formulas for Two dimensional Figures

2Dimensional Figures Area (Sq.units) Perimeter (Units)
Square (side)² 4 x side
Triangle ½ ( b x h ) Sum of all sides
Rectangle length x breadth 2 ( length + breadth )
Circle π 2πr

Basic Algebra Formula:

Consider the simple quadratic equation ax²+bx+c=0

Where, a is the coefficient of x²

b is the coefficient of x

c is a constant term

The quadratic equation to find the variable x is, Maths Formulas For Class 6

Geometry Formulas for Class 6

Geometry Formulas for Class 6

Properties of Whole Numbers

Properties of Whole Numbers

FAQs on Class 6 Maths Formulas

1. Where can I get Maths Formulas for Class 6?

You can find the list of all Maths Formulas pertaining to Class 6 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 6 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 6 Formulas.

3. Is there a Website that provides all Maths formulas for Class 6?

Students can make use of our website to access all the Class 6 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 6 will make your learning effective. You can simply click on the Topics to view the Class 6 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas for Class 6 to Class 12 PDF | All Basic Maths Formulas

Maths Formulas

Maths Formulas – Most of you might feel Maths as your biggest nightmare. But, it’s not and it can be quite interesting once you get to know the applications of it in real life. It’s all about connecting the dots and knowing which calculation to use. Maths Formulas are difficult to memorize and Learn Cram Experts have curated some of the List of Basic Mathematical Formulas that you may find useful in your way of preparation.

Students of Class 6 to 12 can utilise the Maths Formulas PDF and cover the entire syllabus. Revise these formulae thoroughly and identify your strengths and weaknesses in the subject and its formulae. Resolve your doubts while solving the problems by making use of these General Maths Formulas for Classes 6, 7, 8, 9, 10, 11, 12.

Maths Formulas for Class 6 to 12 PDF Free Download

Looking for some smart ways to remember the Mathematical Formulas? You can make use of the handy learning aids and develop an in-depth knowledge on the subject. Check out the Class 6 to 12 Maths Formulas available Chapter Wise as per the Latest CBSE Syllabus and score more marks in the exam.

These Maths Formulas act as a quick reference for Class 6 to Class 12 Students to solve problems easily. Students can get all basic mathematics formulas absolutely free from this page and can methodically revise and memorize them.

Comprehensive list of Maths Formulas for Classes 12, 11, 10, 9 8, 7, 6 to solve problems efficiently. Download Mathematics Formula PDF to complete the syllabus and excel in your exams.

Maths Formulas for Class 6

Maths Formulas for Class 7

Maths Formulas for Class 8

Maths Formulas for Class 9

Maths Formulas for Class 10

Maths Formulas for Class 12

List of Basic Maths Concepts

Sets and Relations

  • Set
  • Subset and Superset
  • Venn Diagram
  • Operations on Sets
  • Ordered Pair
  • Relation
  • Composition of Relation

Functions and Binary Operations

  • Functions
  • Equal Functions
  • Real-Valued and Real Functions
  • Standard Real Functions and their Graphs
  • Operations on Real Functions
  • Compositions of Two Functions
  • Even and Odd Functions
  • Binary Operations

Complex Numbers

  • Equality of Complex Numbers
  • Algebra of Complex Numbers
  • Argand Plane and Argument of a Complex Number
  • Cube Roots of Unity
  • nth Roots of Unity
  • Geometry of Complex Numbers

Theory of Equations aad Inequations

  • Polynomial
  • Quadratic Equation
  • Quadratic Expression
  • Inequality
  • Linear Inequality
  • Solution Set

Sequences and Series

  • Sequence
  • Series
  • Arithmetic Progression (AP)
  • Geometric Progression (GP)
  • Harmonic Progression (HP)
  • Arithmetic-Geometric Progression

Permutations and Combinations

  • Fundamental Principles of Counting
  • Factorial
  • Permutation Circular
  • Permutation
  • Combination

Binomial Theorem and Principle of Mathematical Induction 

  • Binomial Theorem for Positive Integer
  • General Term in a Binomial Expansion
  • Middle Term in a Binomial Expansion
  • Greatest Term Multinomial Theorem
  • R-f Factor Relations
  • Binomial Theorem for Any Index
  • Principle df Mathematical Induction

Matrices

  • Matrix
  • Algebra of Matrices
  • Transpose of Matrix
  • Symmetric and Skew- Symmetric Matrices
  • Elementary Operations (Transfo r matio ns of a Matrix)
  • Coniugate of a Matrix
  • Rank of a Matrix

Determinants 

  • Determinant
  • Minor and Cofactors
  • Adjoint of a Matrix
  • Inve rse of a Matrix
  • Homogeneous and Non- homogeneous System of Linear Equations

Probability

  • Experiment
  • Algebra of Events
  • Bayes Theorem
  • Random Variable
  • Bernoulli Trials and Binomial Distribution

Trigonometric Functions, Identities and Equations

  • Measurement of Angles
  • Relation Between Degree and Radian
  • Trigonometric Ratios For Acute Angle
  • Trigonometric (or Circular) Functions
  • Graph of Trigonometric Functions
  • Fundamental Trigonometric Identities
  • Trigonometric Functions of Compound Angles
  • Transformation Formulae
  • Trigonometric Functions of Multiple Angles
  • Trigonometric Periodic Functions
  • Trigonometric Equations

Solution of Triangles

  • Basic Rules of Triangle
  • Trigonometrical Ratios of Half of the Angles of Triangle
  • Area of a Triangle

Heights and Distances

  • Angie of Elevation
  • Angle of Depression

Inverse Trigonometric Functions

  • Domain and Range of Inverse Trigonometric Functions
  • Graphs oflnverse Triginometric Functions
  • Elementary Properties of Inverse Trigonometric Functions
  • Inverse Hyperbolic Functions

Rectangular Axis

  • Rectangular Axis
  • Quadrants
  • Distance Formulae
  • Section Formulae
  • Area of Triangle/ Quadrilateral
  • Shifting of Origin/Rot at ion of Axes
  • Equation of Locus

Straight Line

  • Slope (Gradient) of a Line
  • Angle between Two Lines
  • Equation of a Straight Line
  • Distance of a Point from a Line
  • Equation of the Bisectors
  • Pair of Lines

Circles

  • Standard Equation of a Circle
  • Equation of Circle Passing Through Three Points »
  • Parametric Equation of Circle
  • Equation of Tangent
  • Equation of Normal
  • Pair of Tangents
  • Common Tangents of Two Circles
  • Family of Circles
  • Limiting Points
  • Diameter of Circle

Parabola

  • Conicsection
  • general Equation of Conic
  • Standard Forms of a Parabola and Related Terms
  • Equation of Tangent
  • Point of I ntersection of Two Tangents
  • Equation of Normal
  • Length of Tangent and Normal
  • Equation of Diameter
  • Pair of Tangents
  • Chor of Contact

Ellipse

  • Parametric Equation
  • Equation of Tangent
  • Equation of Normal

Hyperbola

  • Hyperbola of the Form
  • Conjugate Hyperbola
  • Equation of Hyperbola in Different Forms
  • Tangent Equation of Hyperbola
  • Normal Equation of Hyperbola
  • Asymptote
  • Rectangular Hyperbola

limits, Continuity & Differentiability

  • Limit
  • Methods of Evaluating Limits
  • Sandwich Theorem
  • Continuity
  • Differentiability
  • Fundamental Theorems of Differentiability

Derivatives

  • Derivatives of Standard Functions
  • Fundamental Rules for Derivatives
  • Derivatives of Different Types of Function
  • Differentiation of a Determinant
  • Successive Differentiations
  • Partial Differentiations

Application of Derivatives

  • Derivatives as the Rate of Change
  • Tangents and Normals
  • Rolle’s Theorem
  • Lagrange’s Mean Value Theorem
  • Approximations and Errors
  • Increasing Function
  • Maxima and Minima of Functions

Indefinite Integrals

  • Some Standard Integral Formulae
  • Properties of Integration
  • Intergation by Substitution
  • Integration by Parts
  • Integration by Partial Fractions
  • Integration of Irrational Algebraic Function

Definite Integrals

  • Fundamental Theorem of Calculus
  • Properties of Definite Integral
  • Integral Function

Applications of Integrals

  • Area of Curves Given by Polar Equations
  • Area of Curves Given by Parametric Curves
  • Curve Sketching
  • Volume and Surface Area

Differential

  • Equations
  • Order and Degree of a Differential Equation
  • Linear and Non-Linear Differential Equations
  • Solution of Differential Equations
  • Formation of Differential Equations

Vectors

  • Types of Vectors
  • Addition of Vectors Differences (Subtraction) of Vectors
  • Multiplication of a Vector by a Scalar
  • Components of a Vector
  • Vector joining Two Points
  • Section Formulae
  • Scalar or Dot Product of Two Vectors
  • Vector or Cross Product of Two Vectors
  • Scalar Triple Product Vector Triple Product

Three Dimensional Geometry

  • Coordinate System
  • Direction Cosines
  • Line in Space
  • Plane
  • Angle Between Two Planes
  • Parallelism and Perpendicularity of Two Planes

Statistics

  • Graphical Representation of Frequency Distributions
  • Measures of Central Tendency
  • Arithmetic Mean
  • Geometric Mean
  • Harmonic Mean
  • Median
  • Mode
  • Covariance
  • Rank Correlation (Spearman’s)
  • Regression

Mathematical Reasoning

  • Statement (Proposition)
  • Elementary Logical Connectives or Logical Operators
  • Truth Value and Truth Table
  • Quantifiers
  • Validity of Statements

Linear Programming Problem (LPP)

  • Objective Function
  • Constraints
  • Non-negative Restrictions
  • Optimal Value
  • Solution of Simultaneous Linear Inequations
  • Graphical Method of Solving a Linear Programming Problem
  • Different Types of Linear Programming Problems

Elementary Arithmetic-I

  • Types of Number System
  • ClassificationofNumbcrsin Decimal Number System
  • Test of Divisibility of a Natural Number
  • Rule of Determine the Digit at Unit Place
  • Rational Numbers
  • Irrational Number
  • Real Number
  • Complex Numbers
  • Fraction
  • Ascending/Descending Orders in Fraction
  • Power of Index
  • Surds
  • HCF and LCM
  • Simplification
  • Average
  • Ratio and Proportion
  • Proportion

Elementary Arithmetic-II

  • Fundamental Formula
  • Speed, Time and Distance
  • Problem Based on Trains
  • Boats and Streams
  • Pipes and Cisterns
  • Clock
  • Calendar

Elementary Arithmetic- lll

  • Percentage
  • Profit, Loss and Discount
  • Simple Interest
  • Compound Interest
  • Growth and Depriciation
  • Partnership
  • Share and Debenture
  • Alligation or Mixture

Elementary Algebra

  • Polynomial
  • Synthetic Division Method (Horners Method)
  • Remainder Theorem
  • Linear Equations Rational Expression

logarithms

  • Types of Logarithms
  • Anti Logarithm

Geometry

  • Triangles
  • Congruency of Triangles
  • Quadrilaterals
  • Polygon

Mensuration

  • Perimeter and Area of Plane Figure
  • Surface Area and Volume of Solid Figure

Quadratic Equation Formulas

1. Quadratic Expression
A polynomial of degree two of the form ax2 + bx + c (a ≠ 0) is called a quadratic expression in x.

2. The Quadratic Equation
ax2 + bx + c = 0 (a ≠ 0) has two roots, given by
α = \(\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}\) and β = \(\frac{-b-\sqrt{b^{2}-4 a c}}{2 a}\)

3. Nature of roots
The term b2 – 4ac is called discriminant of the equation. It is denoted by ∆ or D.
(A) Suppose a, b, c ∈ R and a ≠ 0 then

  1. If D > 0 ⇒ roots are real and unequal
  2. If D = 0 ⇒ roots are real and equal and each equal to -b/2a
  3. If D < 0 ⇒ roots are imaginary and unequal or complex conjugate.

(B) Suppose a, b, c ∈ Q, a ≠ 0 then

  1. If D > 0 & D is perfect square ⇒ roots are unequal & rational
  2. If D > 0 & D is not perfect square ⇒ roots are irrational & unequal

4. Conjugate roots
1. If D < 0 →
One root:
α + iβ
Other root:
α – iβ
then
2. D > 0 →
One root:
α + \(\sqrt{\beta}\)
Other root:
α – \(\sqrt{\beta}\)

5. Sum of roots
S = α + β = \(\frac{-b}{a}=-\frac{\text { Coefficient of } x}{\text { cofficient of } x^{2}}\)

6. Product of roots
P = αβ = \(\frac{c}{a}=\frac{\text { Constant term }}{\text { coefficient of } x^{2}}\)

7. Formation of an equation with given roots
x2 – Sx + P = 0

8. Relation between roots-and coefficients
If roots of quadratic equation ax2 + bx + c = 0 (a ≠ 0) are α and β then

  1. (α – β) = \(\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) = ± \(\frac{\sqrt{b^{2}-4 a c}}{a}=\frac{\pm \sqrt{D}}{a}\)
  2. α2 + β2 = (α + β)2 – 2αβ = \(\frac{b^{2}-2 a c}{a^{2}}\)
  3. α2 – β2 = (α + β)\(\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) = – \(\frac{b \sqrt{b^{2}-4 a c}}{a^{2}}=\frac{\pm \sqrt{D}}{a}\)
  4. α3 + β3 = (α + β)3 – 3αβ(α + β) = – \(\frac{b\left(b^{2}-3 a c\right)}{a^{3}}\)
  5. α3 – β3 = (α – β)3 – 3αβ(α – β)\(\sqrt{(\alpha+\beta)^{2}-4 \alpha \beta}\) {(α + β)2 – αβ} = \(\frac{\left(b^{2}-a c\right) \sqrt{b^{2}-4 a c}}{a^{3}}\)
  6. α4 + β4 = {(α + β)2 – 2αβ}2 – 2α2β2 = \(\left(\frac{b^{2}-2 a c}{a^{2}}\right)^{2}-2 \frac{c^{2}}{a^{2}}\)
  7. α4 – β4 = (α2 – β2)(α2 + β2) \(=\frac{\pm b\left(b^{2}-2 a c\right) \sqrt{b^{2}-4 a c}}{a^{4}}\)
  8. α2 + αβ + β2 = (α + β)2 – αβ
  9. \(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^{2}+\beta^{2}}{\alpha \beta}=\frac{(\alpha+\beta)^{2}-2 \alpha \beta}{\alpha \beta}\)
  10. α2β + β2α = αβ(α + β)
  11. \(\left(\frac{\alpha}{\beta}\right)^{2}+\left(\frac{\beta}{\alpha}\right)^{2}=\frac{\alpha^{4}+\beta^{4}}{\alpha^{2} \beta^{2}}=\frac{\left(\alpha^{2}+\beta^{2}\right)^{2}-2 \alpha^{2} \beta^{2}}{\alpha^{2} \beta^{2}}\)
    (xii) nb2 = ac(1 + n)2 when one root is n times of another

9. Roots under particular cases
For the quadratic equation ax2 + bx + c = 0

  1. If b = 0 ⇒ roots are of equal magnitude but of opposite sign
  2. If c = 0 ⇒ one root is zero other is – b/a
  3. If b = c = 0 ⇒ both roots are zero
  4. If a = c ⇒ roots are reciprocal to each other
  5. If \(\left.\begin{array}{ll}
    a>0 & c<0 \\
    a<0 & c>0
    \end{array}\right\}\) ⇒ both roots are of opposite signs
  6. If \(\left.\begin{array}{l}
    \mathrm{a}>0, \mathrm{b}>0, \mathrm{c}>0 \\
    \mathrm{a}<0, \mathrm{b}<0, \mathrm{c}<0 \end{array}\right\}\) ⇒ both roots are negative
  7. If \(\left.\begin{array}{l} \mathrm{a}>0, \mathrm{b}<0, \mathrm{c}>0 \\
    \mathrm{a}<0, \mathrm{b}>0, \mathrm{c}<0
    \end{array}\right\}\) ⇒ both roots are positive

10. Condition for common roots
Let quadratic equations are a1x2 + b1x + c1 = 0 and a2x2 + b2x + c2 = 0
(i) If only one root is common:
\(\frac{\alpha^{2}}{\mathrm{b}_{1} \mathrm{c}_{2}-\mathrm{b}_{2} \mathrm{c}_{1}}=\frac{\alpha}{\mathrm{a}_{2} \mathrm{c}_{1}-\mathrm{a}_{1} \mathrm{c}_{2}}=\frac{1}{\mathrm{a}_{1} \mathrm{b}_{2}-\mathrm{a}_{2} \mathrm{b}_{1}}\)
(ii) If both roots are common: \(\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}\)

11. Nature of the factors of the Quadrate Expression

  1. Real and different, if b2 – 4ac > 0.
  2. Rational and different, if b2 – 4ac is a perfect square.
  3. Real and equal, if b2 – 4ac = 0.

12. Position for roots of a quadratic equation ax2 + bx + c = 0
(A) Condition for both the roots will be greater than k.
(i) D ≥ 0 (ii) k < –\(\frac{b}{2 a}\) (iii) af(k) > 0

(B) Condition for both the roots will be less than k
(i) D ≥ 0 (ii) k > –\(\frac{b}{2 a}\) (iii) af(k) > 0

(C) Condition for k lie between the roots
(i) D > 0 (ii) af(k) < 0

(D) Condition for exactly one root lie in the interval (k1, k2) where k1 < k2
(i) f(k1) f(k2) < 0 (ii) D > 0

(E) When both roots lie in the interval (k1, k2) where k1 < k2
(i) D > 0 (ii) f(k1) . f(k2) > 0

(F) Any algebraic expression f(x) = 0 in interval [a, b] if
(i) sign of f(a) and f(b) are of same then either no roots or even no. of roots exist.
(ii) sing of f(a) and f(b) are opposite then f(x) = 0 has at least one real root or odd no. of roots.

13. Maximum & Minimum value of Quadratic Expression
In a quadratic expression ax2 + bx + c

  1. If a > 0, quadratic expression has least value at x = –\(\frac{b}{2 a}\). This least value is given by \(\frac{4 a c-b^{2}}{4 a}=-\frac{D}{4 a}\)
  2. If a < 0, quadratic expression has greatest value at x = –\(\frac{b}{2 a}\). This
    greatest value is given by \(\frac{4 a c-b^{2}}{4 a}=-\frac{D}{4 a}\)

14. Quadratic expression in two variables
The general form of a quadratic expression in two variables x & y is ax2 + 2hxy + by2 + 2gx + 2fy + c. The condition that this expression may be resolved into two linear rational factors is
∆ = \(\left|\begin{array}{lll}
a & h & g \\
h & b & f \\
g & f & c
\end{array}\right|\) = 0 ⇒ abc + 2 fgh – af2 – bg2 – ch2 = 0 and h2 – ab > 0
This expression is called discriminant of the above quadratic expression.

FAQs on Maths Formulas

1. Where can I get all Mathematical Formulas?

You can get all Mathematical Formulas arranged in an organized manner as per the Chapters for various classes from here.

2. What are the types of mathematical formulas?

There are many types in maths as far as formulas are concerned. Have a glance at some of the types of Mathematical Formulas.

  • Linear equation
  • Quadratic equation
  • Cubic equation
  • First-order Differential equations
  • Integral equations
  • Trigonometric equations, Matrix equations, 2nd order differentials, Fourier transforms, Laplace transforms, Hamiltonians and much more.

3. Where can I find Maths Formulas for Class 6 to Class 12 in PDF Format?

You can find Maths Formulas for Classes 12, 11, 10, 9, 8, 7, 6 in PDF Format for various concepts in a structured way by referring to our page. Make the most out of these and score better grades in the exam.

4. How to download Class 6 to 12 Mathematics Formulas PDF?

All you have to do is just click on the direct links available for Mathematics Formulas and you will be directed to a new page. You can see a download button there and click on that and save the handy Maths Formulae PDF for future reference.

Summary

We hope the details prevailing above regarding the Maths Formulas for Class 12, 11, 10, 9, 8, 7, 6 will make it easy for you in your preparation. Solve the maths problems like never before with the curated list of simple Maths Formulas here. Bookmark our site for the latest information on Mathematical Formulas.

Geometry Formulas for Class 12, 11, 10, 9, 8

Geometry Formulas

Geometry is a subdivision of Mathematics and is all about size, shapes, relative position of figures. It was predominant in earlier times and is a practical way to find out lengths, Volumes, and Areas. It is split into two parts namely Plane Geometry and Solid Geometry. There are many Geometrical Formulas related to height, width, radius, areas, and Volumes.

We tried mentioning some of the Geometry Formulas for Classes 8 to 12 that can be used to solve problems. If you get stumped while solving a problem this is the place you should look into. Some geometric formulas are rather complicated and you might have hardly heard of them. In addition, we also provided basic maths formulas for Classes 12, 11, 10, 9, 8 which are used in our day to day lives to calculate the space, length and so on.

Geometry Formulas for Class 8 to 12 PDF Download

Main Concern of every student about the subject is to learn about Geometry Formulas. There are some basic formulas that you really need to memorize and you are expected to learn them. To make it easy for you we have sorted several Geometry Formulas under the parent topics and you can use them during your preparation.

Students of Class 12, 11, 10, 9, 8 can make their preparation effective with the handy formula list prevailing. Use them while solving questions and come to a conclusion easily with a simple approach. Download the Geometry Formulas for Class 8 to Class 12 PDF for free and aid your preparation. Refer to the further modules to avail the quick links to Geometry Formulas PDF and solve the questions and answers in Geometry easily.

Here is a list of several most important geometry formulas that you use for solving various problems.

Basic Geometry Formulas

  • Perimeter of a Square = P = 4a

Where a = Length of the sides of a Square

  • Perimeter of a Rectangle = P = 2(l+b)

Where, l = Length ; b = Breadth

  • Area of a Square = A = a2

Where a = Length of the sides of a Square

  • Area of a Rectangle = A = l×b

Where, l = Length ; b = Breadth

  • Area of a Triangle = A = ½×b×h

Where, b = base of the triangle ; h = height of the triangle

Area of Square, Rectangle and Triangle

  • Area of a Trapezoid = A = ½×(b1 + b2)×h

Where, b1 & b2 are the bases of the Trapezoid ; h = height of the Trapezoid

  • Area of a Circle = A = π×r2
  • Circumference of a Circle = A = 2πr

Where, r = Radius of the Circle

  • Surface Area of a Cube = S = 6a2

Where, a = Length of the sides of a Cube

Important Geometry Formulas

  • Curved surface area of a Cylinder  = 2πrh
  • Total surface area of a Cylinder = 2πr(r + h)
  • Volume of a Cylinder = V = πr2h

Where, r = Radius of the base of the Cylinder ; h = Height of the Cylinder

  • Curved surface area of a cone =  πrl
  • Total surface area of a cone = πr(r+l) = πr[r+√(h2+r2)]
  • Volume of a Cone = V = ⅓×πr2h

Where, r = Radius of the base of the Cone, h = Height of the Cone

  • Surface Area of a Sphere = S = 4πr2
  • Volume of a Sphere = V = 4/3×πr3

Where, r = Radius of the Sphere

Geometry Formulas for Class 8 to Class 12

Geometric Formulas

Get Common Geometry Formulas for Class 8 to 12 for various shapes and figures. Students can Download Geometric Formulas Cheat Sheet PDF for free of cost.

Geometric Formulas

FAQs on Geometry Formulas

1. Where do you get all formula of Geometry?

You can get the Geometry Formula for Classes 12, 11, 10, 9, 8 from our page. Access the quick links available here in PDF format and know the formulas for all the topics.

2. Can you give some important formulas on Geometry?

Students of Class 8 to Class 12 will find information related to basic and important formulas of geometry that will help you score better grades in the exam from here.

3. How to download Classwise Geometry Formulas PDF?

Check out the direct links available on our page, tap them to view or download the Geometry Formulas for the concerned Class. All of them are organised as per the classes which can be quite handy to ace up your preparation.

Conclusion

We wish the data shed as far as our knowledge is concerned regarding the Geometry Formulas has been beneficial to you. For more information and if you feel any formula is missing feel free to leave us your suggestions via comment section. Stay in touch with our site to avail information on all formulas.

Maths Formulas For Class 12

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 12 just for you. You can use this as a go-to sheet whenever you want to prepare Class 12 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 12.

Maths Formulas for Class 12 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 12 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 12 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 12. Candidates can use the handy learning aid Maths Formulas PDF to have in-depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 12 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Vectors and Three Dimensional Geometry Formulas for Class 12

E:\Maths\Vectors and Three Dimensional Geometry Formulas for Class 12.png

Algebra Formulas For Class 12

Algebra Formulas For Class 12

In Vector Addition

Trigonometry Class 12 Formulas

Definition
θ = sin−−1 (x)isequivalenttox = sinθ
θ = cos−1 (x)isequivalenttox = cosθ
θ = tan−1 (x)isequivalenttox = tanθ
Inverse Properties
sin(sin−1 (x)) = x
cos(cos−1 (x)) = x
tan(tan−1 (x)) = x
sin−1 (sin(θ)) = θ
cos−1 (cos(θ)) = θ
tan−1 (tan(θ)) = θ

Double Angle and Half Angle Formulas

Double Angle and Half Angle Formulas

FAQs on Class 12 Maths Formulas

1. Where can I get Maths Formulas for Class 12?

You can find the list of all Maths Formulas pertaining to Class 12 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 12 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 12 Formulas.

3. Is there a Website that provides all Maths formulas for Class 12?

Students can make use of our website to access all the Class 12 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 12 will make your learning effective. You can simply click on the Topics to view the Class 12 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Maths Formulas For Class 10

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorise and we have curated a list of Maths Formulas for Class 10 just for you. You can use this as a go-to sheet whenever you want to prepare Class 10 Maths Formulas. Students can get Formulas on Algebra, Calculus, and Geometry that can be useful in your preparation and help you do your homework.

Here in this article, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 10.

Maths Formulas for Class 10 PDF Free Download

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 10 formulas as they will not just be useful in your academic books but also in your day to day lives.

Remember the Maths Formulas in a smart way by making use of our list. You can practice Questions and Answers based on these Class 10 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 10. Candidates can use the handy learning aid Maths Formulas PDF to have in depth knowledge on the subject as per the Latest CBSE Syllabus.

CBSE Class 10 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Linear Equations

One Variable ax+b=0 a≠0 and a&b are real numbers
Two variable ax+by+c = 0 a≠0 & b≠0 and a,b & c are real numbers
Three Variable ax+by+cz+d=0 a≠0 , b≠0, c≠0 and a,b,c,d are real numbers

Pair of Linear Equations in two variables:

a1x+b1+c1=0
a2x+b2+c2=0

Where

  • a1, b1, c1, a2, b2, and c2 are all real numbers and
  • a12+b12 ≠ 0 & a2+ b22 ≠ 0

It should be noted that linear equations in two variables can also be represented in graphical form.

Algebra or Algebraic Equations

The standard form of Quadratic Equations

ax2+bx+c=0 where a ≠ 0
And x = [-b ± √(b2 – 4ac)]/2a

Algebraic formulas:

  • (a+b)= a+ b+ 2ab
  • (a-b)= a+ b– 2ab
  • (a+b) (a-b) = a– b2
  • (x + a)(x + b) = x2 + (a + b)x + ab
  • (x + a)(x – b) = x2 + (a – b)x – ab
  • (x – a)(x + b) = x2 + (b – a)x – ab
  • (x – a)(x – b) = x2 – (a + b)x + ab
  • (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – b3 – 3ab(a – b)
  • (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  • (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  • (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  • (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  • x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  • x+ y2 =½ [(x + y)2 + (x – y)2]
  • (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  • x3 + y3= (x + y) (x2 – xy + y2)
  • x3 – y3 = (x – y) (x2 + xy + y2)
  • x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Basic formulas for powers

  • px p= pm+n
  • {pm}⁄{pn} = pm-n
  • (pm)= pmn
  • p-m = 1/pm
  • p1 = p
  • P= 1

Arithmetic Progression(AP) Formulas

If a1, a2, a3, a4, a5, a6, are the terms of AP and d is the common difference between each term, then we can write the sequence as; a, a+d, a+2d, a+3d,

Algebraic formulas:

  • (a+b)= a+ b+ 2ab
  • (a-b)= a+ b– 2ab
  • (a+b) (a-b) = a– b2
  • (x + a)(x + b) = x2 + (a + b)x + ab
  • (x + a)(x – b) = x2 + (a – b)x – ab
  • (x – a)(x + b) = x2 + (b – a)x – ab
  • (x – a)(x – b) = x2 – (a + b)x + ab
  • (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – b3 – 3ab(a – b)
  • (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  • (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  • (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  • (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  • x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  • x+ y2 =½ [(x + y)2 + (x – y)2]
  • (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  • x3 + y3= (x + y) (x2 – xy + y2)
  • x3 – y3 = (x – y) (x2 + xy + y2)
  • x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Basic formulas for powers

  • px p= pm+n
  • {pm}⁄{pn} = pm-n
  • (pm)= pmn
  • p-m = 1/pm
  • p1 = p
  • P= 1

Arithmetic Progression(AP) Formulas

If a1, a2, a3, a4, a5, a6, are the terms of AP and d is the common difference between each term, then we can write the sequence as; aa+d, a+2d, a+3d, a+4d, a+5d,….,nth term… where a is the first term. Now, nth term for arithmetic progression is given as;

nth term = a + (n-1) d

Sum of nth term in Arithmetic Progression;

Sn = n/2 [a + (n-1) d]

Trigonometry Formulas For Class 10

Trigonometry maths formulas for Class 10 covers three major functions Sine, Cosine and Tangent for a right-angle triangle. Also, in trigonometry, the functions sec, cosec and cot formulas can be derived with the help of sin, cos and tan formulas.

Let a right-angled triangle ABC is right-angled at point B and have ∠θ

Trigonometry Formulas For Class 10

Trigonometry Table:

Trigonometry Table

Other Trigonometric formulas:

  • sin(90° – θ) = cos θ
  • cos(90° – θ) = sin θ
  • tan(90° – θ) = cot θ
  • cot(90° – θ) = tan θ
  • sec(90° – θ) = cosecθ
  • cosec(90° – θ) = secθ
  • sin2θ + cos2 θ = 1
  • secθ = 1 + tan2θ for 0° ≤ θ < 90°
  • Cosecθ = 1 + cot2 θ for 0° ≤ θ ≤ 90°

Circles Formulas For Class 10

  • Circumference of the circle = 2 π r
  • Area of the circle = π r2
  • Area of the sector of angle θ = (θ/360) × π r2
  • Length of an arc of a sector of angle θ = (θ/360) × 2 π r

(r = radius of the circle)

Surface Area and Volumes Formulas For Class 10

The common formulas from the surface area and volumes chapter in 10th class include the following:

  • Sphere Formulas
Diameter of sphere 2r
Circumference of Sphere 2 π r
Surface area of sphere 4 π r2
Volume of Cylinder 4/3 π r2
  • Cylinder Formulas
Circumference of Cylinder 2 πrh
Curved surface area of Cylinder 2 πr2
Total surface area of Cylinder Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr2
Volume of Cylinder π rh
  • Cone Formulas
Slant height of cone l = √(r2 + h2)
Curved surface area of cone πrl
Total surface area of cone πr (l + r)
Volume of cone ⅓ π rh
  • Cuboid Formulas
Perimeter of cuboid 4(l + b +h)
Length of the longest diagonal of a cuboid √(l2 + b2 + h2)
Total surface area of cuboid 2(l×b + b×h + l×h)
Volume of Cuboid l × b × h

Here, l = length, b = breadth and h = height In case of Cube, put l = b = h = a, as cube all its sides of equal length, to find the surface area and volumes.

Statistics Formulas for Class 10

In class 10, the chapter statistics mostly deals with finding the mean median and standard deviation of grouped data.

(I) The mean of the grouped data can be found by 3 methods.

Statistics Formulas for Class 10

FAQs on Class 10 Maths Formulas

1. Where can I get Maths Formulas for Class 10?

You can find the list of all Maths Formulas pertaining to Class 10 from our page. In fact, all the formulas are arranged topic wise as per chapters and you can use them to score better grades in the exam.

2. How do I Learn Class 10 Maths Formulas?

Don’t try to mug up the formulas instead try finding the logic behind it so that it will be easy for you. However, there are some formulas that are hard to derive and you can memorize them. Practice as much as you can to understand the Maths Class 10 Formulas.

3. Is there a Website that provides all Maths formulas for Class 10?

Students can make use of our website to access all the Class 10 Maths Formulas as per the topics to make your learning process effective.

Final Words

We believe that the comprehensive list of basic Maths formulas for Class 10 will make your learning effective. You can simply click on the Topics to view the Class 10 Maths formulas and aid your preparation. If you feel any formula is missing that can be added to our list do drop us a comment and we will add it to the list.

Geometry Formulas For Class 8

Geometry Formulas For Class 8
Geometry is a branch of mathematics that deals with the relative position of figures, sizes and shapes. It was predominant in earlier times and people used to calculate lengths, areas and volumes using Geometry Formulas. We have listed some of the popular Geometry for Class 8 that you can use during your preparation.You can use the list of several Geometry formulas for Class 8 to solve problems. There are plenty of formulas related to Geometry Shapes and Figures. You may feel some of them are difficult or must have known them hardly. Students can access the basic Geometry formulas that we come across in our daily lives related to length, space and so on.

Geometry Formulas for Class 8 PDF Download

Students who are looking for Class 8 Geometry Formulas can get them for free of cost here. You don’t have to pay any amount and can get them directly through the quick links available. Choose a Particular shape or figure and learn the common Geometry formula associated with it from here. We have almost everything covered in Geometry and you need not look further. Get to know the topic wise Geometry formulas in geometry by going through the further modules

Avail the Class 8 Geometry Formulas PDF from this page and solve the toughest problems too with ease. You can get geometry formulas right from basic shapes to even complicated figures. Solve your problems easily with our Geometry Formula Sheet for Class 8 and score well in the exams.

Geometry Shapes Formulas for Class 8
Name of the Solid Lateral / Curved Surface Area Total Surface Area Volume
Cuboid 2h(l+b) 2(lb+bh+hl) lbh
Cube 4a2 6a2 a3
Right Prism Perimeter of base × height Lateral Surface Area + 2(Area of One End) Area of Base × Height
Right Circular Cylinder 2πrh 2πr(r+h) πr2h
Right Pyramid ½ × Perimeter of Base × Slant Height Lateral Surface Area + Area of the Base ⅓ × (Area of the Base) × height
Right Circular Cone πrl πr(l+r) ⅓ × πr2h
Sphere 4πr2 4πr2 4/3 × πr3
Hemisphere 2πr2 3πr2 2/3 × πr3
Geometric Area Geometric Area Formula
Square a2
Rectangle a × b
Circle πr2
Ellipse πr1r2
Triangle ½ × b × h

FAQs on Class 8 Geometry Formulas

1. How do you memorize Geometry formulas?

First and foremost step to learn Geometry is to stop thinking it as difficult. Don’t just cram and try to understand what that particular formula solves. Once you get to know what real life issue is solved by a Geometry formula you will not forget it for a lifetime.

2. Where can I get a Geometry Formula Sheet for Class 8?

You can get a Class 8 Geometry Formula Sheet that includes all the formulas related to basic shapes as well as complicated figures from this page. Pick a shape of your choice and learn the formula concerned to it in one go from here.

3. How can I be at Good at Geometry Formulas for Class 8?

The only mantra to be good at Class 8 Geometry formulas is to learn the concept behind the formulas instead of by hearting it. This way, you will never forget the formulas.

Conclusion

We hope the data prevailing on our page regarding Geometry Formulas for Class 8 has clarified your concerns. Use the list of all Geometry Formulas and solve various problems in a simple manner. In case of any suggestions or misprints in the Class 8 Geometry Formulas listed above feel free to contact us via the comment section.