Table of Contents
In this article, We have summarized all the Math Formulas that are included in the curriculum in Classes 6 to 12. It will help you have a better grasp of the subject. Generally, Most Students have difficulty solving Math problems, but Basic Math formulas help you to solve that problems efficiently and faster. Students should study and recall basic Math Formulas based on principles such as algebra, arithmetic, and geometry in order to answer mathematical issues efficiently. Math is quite different from other subjects, as it requires practice. Proper and regular practice helps students to build a strong grasp of math Formulas at their fingertips.
Math Formulas
Math formulas assist students in better tackling any mathematical difficulties problems in an easier and faster way. By implementing basic Math formulas, students may answer complex problems using a variety of ways and tactics. It is not an impossible subject to achieve high marks in. All you need is consistent hard work and smart work. We use them by first carefully reading our problem to discover what it is asking for, and then seeking math formulas that provide us with the solution to our problem. Candidates preparing for competitive exams can also review all of the important math formulas in one spot to help them understand the topic better.
All Math Formulas
The main problem with Math formulas is about Memorizing Them. There is no doubt the Math Formulas Chart is very long as every class there is an introduction of new concepts. Addition, subtraction, multiplication, and division are simple; nevertheless, issues dependent on derivation, calculus, and geometry require math formulas to solve. But Adda247 provides you with a comprehensive list of the Basic Math Formulas which will help learners not only in boards but also in competitive exams with their preparation.
Math Formulas for Basic Algebra
Following Basic maths formulas are used to solve Algebraic problems in all Classes. Check out the math formulas chart given below:
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- a2 – b2 = (a – b)(a + b)
- a2 + b2 = (a + b)2 – 2ab
- (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
- (a +b+ c+…)2=a2+b2+c2+⋯+2(ab +ac+ bc +⋯
- (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
- (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
- a3 + b3 = (a + b)(a2 – ab + b2)
- a3 – b3 = (a – b)(a2 + ab + b2)
- x3+y3+z3−3xyz=(x+ y+ z)(x2+y2+z2−xy−yz−xz)
- x3+y3=(x+ y)(x2−xy+y2)
- x3−y3=(x−y)(x2+xy+y2)
- (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
- (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
- a4 – b4 = (a – b)(a + b)(a2 + b2)
- a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
- x2+y2+z2−xy−yz−zx=1/2[(x−y)2+(y−z)2+(z−x)2]
- x2+y2=1/2[(x+ y)2+(x−y)2]
- (x +a)(x +b)(x +c)=x3+(a +b+ c)x2+(ab +bc+ ca)x+ abc
Math Formulas PDF
These Math Formulas will assist kids not only in their tests but also in other domains such as various competitive exams. Students can also use the chapter-by-chapter Math Formulas PDF for all Classes to study for their board exams. We recommend that students download the Math Formula PDF of these Math Formula Charts so that they can refer to them while studying for exams while they are offline.
- Maths Class 12 Formula
- Maths Class 11 Formula
- Math Formulas for Class 10
- Maths Class 9 Formula
- Class 8 Maths Formulas
All Math Formulas from Class 6 to Class 12
Read the following article for all of the necessary Math Formula Charts related to Maths Formulas for Classes 6 to 12.
Math formulas for Class 6
Topics Like Number Systems, Integers, Decimals, Fractions, Algebra, Mensuration, etc are included in the Class 6 maths Syllabus. Check important concepts and math formulas for class 6 to solve the problems as follows:
- ‘Undefined’ refers to anything divided by zero
- If the total of the digits is a multiple of three, the number is divisible by three.
- A number is divisible by two if it contains the digits 0, 2, 4, 6, or 8.
- A variable represents a condition in an equation. An equation has two sides, known as the Left-Hand Side and the Right-Hand Side, which are separated by an equal (=) sign.
- A polygon is a simple closed figure created by line segments. A triangle is a polygon with three sides. Quadrilaterals are polygons with four sides.
- The perimeter of a Square = 4 × Length of its side
- Perimeter of a Rectangle = 2 × (Length + Breadth)
- The perimeter of an Equilateral triangle = 3 × Length of a side
- Area of a Rectangle = length × breadth
Maths formulas for Class 7
There are some math topics that are included in the class 7 Maths syllabus. Check out all of the important math formulas for class 7 maths listed below
- Profit Percentage = (Profit / Cost price) × 100
- Loss Percentage = (Loss/ Cost price) × 100
- Simple Interest = (Principal × Rate × Time) / 100
- Amount = Principal + Interest
- Percentage Change= (Change / Original Amount) × 100
- Product of rational numbers = (Product of Numerators) / (Product of Denominators)
- First Rational Number × (Reciprocal of other Rational Number)
- Law of Product: am × an = am+n
- Law of Quotient: am/an = am-n
- Law of Zero Exponent: a0 = 1
- Law of Negative Exponent: a-m = 1/am
- Law of Power of a Quotient: (a/b)m = am/bm
- Law of Power of a Power: (am)n = amn
- Law of Power of a Product: (ab)m = ambm
- Perimeter of a Rectangle = 2 × (Length + Breadth)
- Area of Rectangle = Length × Breadth
- Area of a Square = Side2
- Area of Triangle = 1/ 2 × Base × Height
- The perimeter of a Square = 4 × Side
- Area of a Parallelogram = Base × Height
- Area of a circle = πr2
- Circumference of a circle = π d, where ‘d’ is the diameter of a circle and π = 22/7 or 3.14
Math formulas For Class 8
Students must study all arithmetic formulae for Class 8 in order to solve the problem quickly. The most common and relevant class 8 Math formulas are listed below.
- Additive inverse of rational number: a/b = -b/a
- Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
- Distributives a(b – c) = ab – ac
- Simple Interest = (Principal × Rate × Time) / 100
- Amount = Principal + Interest
- Compound Interest formula = Amount – Principal, Amount in case the interest is calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ is the period.
- Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
Apart from the athematic math formulas 2d and 3d geometry has been introduced, Check out all the important math formulas related to 2D and 3D geometric shapes in the below table:
Math Formulas for 2D Geometric Shapes
2 Dimensional shapes |
Geometric Area Formula
|
Rectangle |
|
Triangle |
|
Circle |
|
Math Formulas for 3D Geometric Shapes
3 Dimensional shapes | Total Surface Area | Lateral / Curved Surface Area | Volume |
Cuboid | 2 (lb + bh + hl) | 2h (l + b) | l × b × h |
Cube | 6a2 | 4a2 | a3 |
Cylinder | 2πr (r + h) | 2 (π × r × h) | πr2h |
Sphere | 4πr2 | 4πr2 | 4/3 (πr3) |
Hemisphere | 3πr2 | 2πr2 | ⅔ (πr3) |
Right Pyramid | Lateral Surface Area + Area of the Base | ½ (Perimeter of Base × Slant Height) |
⅓ (Area of the Base) × Height
|
Right Circular Cone | πr (l + r) | πrl | ⅓ (πr2h) |
Right Prism | Lateral Surface Area + 2(Area of One End) | Perimeter of Base × Height |
Area of Base × Height
|
Math formulas For Class 9th
All Class 9 Math formulas are provided here in accordance with the NCERT syllabus for all courses such as Algebra, Geometry, Polynomials, and so on. The most essential class 9 Math formulas are listed below.
Topics | Math Formulas |
Real Numbers |
|
Geometry Formulas | |
Rectangle |
|
Triangle |
|
Circle |
|
Parallelogram |
|
Trapezoid |
|
Cuboid |
|
Cylinder |
|
Cube |
|
Sphere |
|
Cone |
|
Heron’s Formula |
Here, s = semi-perimeter, and A,b, and c are the sides of a triangle.
|
Polynomial Formula | P (x) = anxn + an- 1xn- 1 – an- 2xn- 1 + …… ax + a0 |
Algebra Identities |
|
Statistics |
((n+1)/2)th observations = odd observations ((n/2)th + ((n/2)+1)th)/2 observations for even observations
|
Math Formulas For Class 10th
Explore all of the important math formulas for class 10 maths by chapter. To swiftly solve the problem, students must learn all math formulas for class 10. Check out the most essential and useful class 10 Math formulas listed below.
Topics | Math Formulas |
Arithmetic Formulas |
|
Trigonometry Formulas |
|
Area and Volume Formulas |
|
Circle Formula |
|
Math formulas For Class 11th
Students struggle the most with Class 11 Maths because the syllabus covers a wide range of new topics. However, by comprehending the concept and the relevant math formulas, applicants can easily earn good grades in the Class 11 Math exams. Check out the most important class 11 Math formulas listed below.
Topics | Math formula |
Algebra Formulas |
|
Calculus Formulas |
|
Geometry and Lines Formulas |
|
Trigonometry Formulas
|
|
Math formulas For Class 12th
Topics Like Vectors, Matrices, Trigonometry, and 3-dimensional geometry are included in the Class 12 maths Syllabus. Scoring well in Maths is very essential as the Class 12 board result will determine the UG admission of a Student. However, revising and practicing related math formulas and concepts will help you score well in the Class 12 mathematics exam. Check out the table below for all of the Imp[orat Class 12 Math formulas.
Topics | Math formulas |
Trigonometry Formulas |
|
Calculus Formulas |
|
Vector Formulas |
|
Geometry Formulas |
|
+ – = in Maths Formula
In mathematics, the symbols +, -, and = are used in formulas as follows:
+ (plus): Represents addition.
Example:
𝑎+𝑏 means the sum of
𝑎 and 𝑏.
– (minus): Represents subtraction.
Example:
a−b means
b is subtracted from a.
= (equals): Indicates equality between two expressions.
Example:
𝑎 + 𝑏 = 𝑐
a+b=c means the sum of
a and b is equal to 𝑐.
Maths Formulas for Class 6 to 10, 12 PDF
The basic Maths formulas will help students in solving different questions related to various topics. The PDF given below will help students in their studies. The following PDF is suitable for all students ranging from class 8 to class 11.