Home » CBSE Class 9 Maths Formulas – Mathematics Formulas and Equations!!

CBSE Class 9 Maths Formulas – Mathematics Formulas and Equations!!

by Brijesh Sharma
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Maths formula

Mathematics is a subject that often gives chills to the students, they estimate that the subject is difficult and do not try to understand it instead of creating and handling it as a problem. We understand that mathematics is a bit tricky subject, but it’s not completely a problem. The main problem is the strategy they use to prepare for the examination. 

The problem is they do not try to understand the formulas instead go with the problems directly or even if they read them, they forget the formulas as they do not note them down in a particular place. Class 9 is crucial for students as the pattern and syllabus of the examination change suddenly and it also helps you clear your fundamentals for your class 10 board examination. 

Best List of All the Formulas and The Equations for Class 9 Mathematics:

Geometry Formulas 

This chapter is given as the area of parallelograms and triangles in your mathematics textbook. It shows how the amount of planer surface is covered with geometric figures.

Geometrical Shapes Area (A) Perimeter
Rectangle A = Length x Width P = 2(Length + Width)
Triangle A = ½ x Breadth x Height P = Sum of all the three sides of a triangle
Trapezoid A = ½ x Height x (b₁ x b₂) P = Sum of all the sides of a trapezoid
Parallelogram, A = Breadth x Height P = 2(a+ b)

Here. a = side

B = base

Circle A = πr² P = 2 πr


Algebra Formulas

It is said that any equation in the form of ax + by + c = 0 where, a,b and c are real numbers and a and b are not zero it is known as a linear equation in two variables.

(x + β)² = x²  +  β²  +  2 x β
(x – β)² = x²  +  β²  – 2 x β
(x + θ) (x – θ) = x² – θ² 
(x + α)(x + θ) =  x²  +   (α + θ)x  +  αθ
(x + α)(x – θ) =  x²  +  (α – θ)x   –  αθ
(x – α)(x + θ) =  x²  +  (θ – α)x  –  xθ
(x – α)(x – θ) = x²  –  (α + θ)x   + αq
(α + θ)³  = α³ + θ³  +  3αθ(α + θ)
(α – θ)³ =  α³  + θ³ – 3αθ(α – θ)
(α + β + θ)²  = α² + β² + θ² + 2αβ + 2βθ + 2αθ
(α + β – θ)²  = α² + β² + θ² + 2αβ – 2βθ – 2αθ
(α – β + θ)²  = α² + β² + θ²- 2αβ – 2βθ + 2αθ
(α – β – θ)²  = α² + β² + θ² – 2αβ + 2βθ – 2αθ
(x)³ + (β)³ = (x + β) (x² – xβ + β)
(x)³ – (β)³ = (x + β) (x² – xβ + β)


Check Out- NCERT Solutions for Class 9 Maths

Surface Area and Volume

It is classified as one of the most crucial chapters in class 9 mathematics. This chapter contains the calculation of two-dimensional figures and the space they’re taking. 

Shape Surface Area Volume
Cuboid 2(lb + bh +lh)

l= length, b=breadth, h=height

Cube 6a2 a3
Cylinder 2πr(h+r)

r = radius of circular bases

h = height of cylinder

Cone πr(l+r)

r=radius of base

l=slant height 

Also, l2=h2+r2, where h is the height of cone

Sphere 4πr2 (4/3)πr3


Heron’s Formula

A three-dimensional closed figure is known as a triangle. In this chapter, you’ll learn about the area and the perimeter of the triangle.

Area of the Triangle with 3 sides √s(s-a)(s-b)(s-c)


Here, s = semi perimeter


a, b, and c are the sides of the triangle

Semi Perimeter S = (a + b + c)/2


Polynomial Formula

An expression comprises various coefficients and variables which do operations like addition, subtraction, multiplication and much more.

P (x) = anxn + an- 1xn- 1 – an- 2xn- 1 + …… ax + a0


Statistics Formulas

represent the data’s identification, collection, interpretation, analysis, and organization. It means to summarize the data in mathematical terms.

The measure of Central Tendency
Mean  Sum of Observation/Total number of observations = ∑ x/n
Median [(n+1)/2]th term [For an odd number of observations]

Mean of (n/2)th term and (n/2+1)th term [For even number of observations]

Mode The value which is repeated maximum time in a data set


Probability Formula

 It includes finding out the probability or possibility of an event, with the help of the expected outcome and all the trials and errors.

Empirical Probability = Number of trials with the expected outcome/Total number of Trials


Useful Link- Important Questions for Class 9 Maths


Q1. What is the list of all the chapters in class 9 mathematics?

Answer –  Here’s the list of all the chapters of class 9 mathematics:

  • Number System
  • Polynomials
  • Coordinate Geometry
  • Linear Equation in Two Variables
  • Euclid’s Geometry
  • Lines and Angles
  • Triangles
  • Quadrilaterals
  • Area of parallelogram and triangles
  • Circles
  • Constructions
  • Heron’s Formula
  • Surface, Area and Volume
  • Statistics 
  • Probability

Also, ReadBenefits of Using NCERT Solutions for Board Examination!

Q2. How to remember all the formulas of class 9 mathematics?

Answer-  You can remember all the formulas of class 9 mathematics by noting them down on a piece of paper and underlining the derivative of the formula, which will help you understand the foundation of the formula and where to use them.

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