Mathematics Formula In Marathi Pdf

This image has an empty alt attribute; its file name is gr-9_Blog_Banner.png

Maths Formulas For Class 9: Class 9 is one of the most important grades in a student's life. It lays the foundation of the board exams. To get through this grade the candidates need to stay focused and develop an understanding of all the necessary concepts in each subject. The candidates need to make sure that they can learn all the Class 9 Maths formulas. It should be at your fingertips if you want to solve the questions and score well in the exam. As per the candidate's point of view, Mathematics is likely one of the troublesome subjects for the candidates. They can have an argument about learning and implementing a lot of the formulas to solve the various questions. However, when the candidates start to analyze the concepts then it will become easier for them to learn all the formulas.

Through this article, the candidates can check the important Mathematics formula for grade-9. This article will provide the candidates with all the important formulas on a single page. With the help of the formula, the candidates can easily solve the questions and also it will improve their efficiency and speed. They can directly apply the formula to the questions. So let's take a look at the important formula for Class 9.

Please Note: If you are having difficulties accessing the formulas on your mobile, try opening the desktop site on your mobile from your mobile's browser settings.

Practice Embibe's Exclusive CBSE Term 1 Sample Papers Based on New Guidelines:

Take Free CBSE 9th Maths Mock Tests Based on New Curriculum	Take Free CBSE 9th Science Mock Tests Based on New Curriculum
Take Free CBSE 10th Maths Mock Tests Based on New Curriculum	Take Free CBSE 10th Science Mock Tests Based on New Curriculum
Take Free CBSE 11th Maths Mock Tests Based on New Curriculum	Take Free CBSE 11th Physics Mock Tests Based on New Curriculum
Take Free CBSE 11th Chemistry Mock Tests Based on New Curriculum	Take Free CBSE 11th Biology Mock Tests Based on New Curriculum
Take Free CBSE 12th Maths Mock Tests Based on New Curriculum	Take Free CBSE 12th Physics Mock Tests Based on New Curriculum
Take Free CBSE 12th Chemistry Mock Tests Based on New Curriculum	Take Free CBSE 12th Biology Mock Tests Based on New Curriculum

Here at Embibe, you can get the Free CBSE Revised MCQ Mock Test 2021 for all topics. The MCQ Test offered by Embibe is curated based on revised CBSE Class Books, paper patterns and syllabus for the year 2021. This mock test series has a comprehensive selection of relevant questions and their solutions. Candidates in CBSE Board can take these free mock tests to practise and find areas where they need to improve for their board exams.

Practice Important Algebra Questions For Class 9 Now

Maths Formulas For Class 9: Important Formulas of Maths Class 9 PDF

Mathematical formulas are not just to close your eyes and learn. You got to focus on understanding the formula, implement and analyze. This will make it easier for you to solve maths problems. You can logically learn such formulas.

Before getting into the list of the formulas, let's check out the major chapters of Class 9 Maths for which formulas are needed:

Numbers
Polynomials
Coordinate Geometry
Algebra
Triangles
Areas of Parallelograms and Triangles
Circles
Heron's Formula
Surface Areas and Volumes
Statistics
Probability

Download – Algebra Formulas for Class 9

Let's look at some of the important chapter-wise lists of Maths formulas for Class 9.

Class 9 Maths All Formulas PDF: Class 9 Maths Formulas For Rational Numbers

Any number that can be written in the form of p ⁄ q where p and q are integers and q ≠ 0 are rational numbers. Irrational numbers cannot be written in the p ⁄ q form.

There is a unique real number that can be represented on a number line.
If r is one such rational number and s is an irrational number, then (r + s), (r – s), (r × s) and (r ⁄ s) are irrational.
For positive real numbers, the corresponding identities hold together:
1. \(\sqrt{ab}\) = \(\sqrt{a} × \sqrt{b}\)
2. \(\sqrt{\tfrac{a}{b}}\) = \(\frac{\sqrt{a}}{\sqrt{b}}\)
3. \((\sqrt{a}+\sqrt{b})\times(\sqrt{a}-\sqrt{b})=a-b\)
4. \((a+\sqrt{b})\times(a-\sqrt{b})=a^2-b\)
5. \((\sqrt{a}+\sqrt{b})^2=a^2+2\sqrt{ab}+b\)
If you want to rationalize the denominator of 1 ⁄ √ (a + b), then we have to multiply it by √(a – b) ⁄ √(a – b), where a and b are both the integers.
Suppose a is a real number (greater than 0) and p and q are the rational numbers.
1. a^p x b^q= (ab)^p+q
2. (a^p)^q = a^pq
3. a^p / a^q= (a)^p-q
4. a^p / b^p = (ab)^p

Download also,

Formula Of Maths Class 9: Class 9 Maths Formulas For Polynomials

A polynomial p(x) denoted for one variable 'x' comprises an algebraic expression in the form:

p(x) = a _n x ⁿ + a _n-1 x ^n-1 + ….. + a ₂ x ² + a ₁ x + a ₀ ; where a₀, a₁, a₂, …. a_n are constants where a_n ≠ 0

Any real number; let's say 'a' is considered to be the zero of a polynomial 'p(x)' if p(a) = 0. In this case, a is said to be the mysqladmin of the equation p(x) = 0.
Every one variable linear polynomial will contain a unique zero, a real number which is a zero of the zero polynomial and non-zero constant polynomial which does not have any zeros.
Remainder Theorem: If p(x) has the degree greater than or equal to 1 and p(x) when divided by the linear polynomial x – a will give the remainder as p(a).
Factor Theorem: x – a will be the factor of the polynomial p(x), whenever p(a) = 0. The vice-versa also holds true every time.

Class 9 Maths Formulas For Coordinate Geometry

Whenever you have to locate an object on a plane, you need two divide the plane into two perpendicular lines, thereby, making it a Cartesian Plane.

The horizontal line is known as the x-axis and the vertical line is called the y-axis.
The coordinates of a point are in the form of (+, +) in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant and (+, –) in the fourth quadrant; where + and – denotes the positive and the negative real number respectively.
The coordinates of the origin are (0, 0) and thereby it gets up to move in the positive and negative number.

9th Class Formulas For Algebraic Identities

Given below are the algebraic identities which are considered very important maths formulas for Class 9.

(a + b)² = a² + 2ab + b²
(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 = 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)
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)
x³ – y³ = (x – y) (x²+ xy + y²)
x² + y² + z² – xy – yz – zx = \(\frac{1}{2}\) [(x – y)² + (y – z)² + (z – x)²]

Class 9 Maths Formulas For Triangles

A triangle is a closed geometrical figure formed by three sides and three angles.

Two figures are congruent if they have the same shape and same size.
If the two triangles ABC and DEF are congruent under the correspondence that A ↔ D, B ↔ E and C ↔ F, then symbolically, these can be expressed as ∆ ABC ≅ ∆ DEF.

Right Angled Triangle: Pythagoras Theorem

Suppose ∆ ABC is a right-angled triangle with AB as the perpendicular, BC as the base and AC as the hypotenuse; then Pythagoras Theorem will be expressed as:

(Hypotenuse) ² = (Perpendicular) ² + (Base) ²
i.e. (AC) ² = (AB) ² + (BC) ²

Class 9 Maths Formulas For Areas Of Parallelograms And Triangles

A parallelogram is a type of quadrilateral that contains parallel opposite sides.

Area of parallelogram = Base × Height
Area of Triangle = \(\frac{1}{2}\) × Base × Height

Class 9 Maths Formulas For Circle

A circle is a closed geometrical figure. All points on the boundary of a circle are equidistance from a fixed point inside the circle (called the center).

Area of a circle (of radius r) = π × r²
The diameter of the circle, d = 2 × r
Circumference of the circle = 2 × π × r
Sector angle of the circle, θ = (180 × l ) / (π × r )
Area of the sector = (θ/2) × r²; where θ is the angle between the two radii
Area of the circular ring = π × (R² – r²); where R – radius of the outer circle and r – radius of the inner circle

Class 9 Maths Heron's Formula

Heron's Formula is used to calculate the area of a triangle whose all three sides are known. Let's suppose the length of three sides are a, b and c.

Step 1 – Calculate the semi-perimeter, \(s=\frac{a+b+c}{2}\)
Step 2 – Area of the triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\)

Class 9 Maths Formulas For Surface Areas And Volumes

Here, LSA stands for Lateral/Curved Surface Area and TSA stands for Total Surface Area.

Name of the Solid Figure	Formulas
Cuboid	LSA: 2h(l + b) TSA: 2(lb + bh + hl) Volume: l × b × h l = length, b = breadth, h = height
Cube	LSA: 4a² TSA: 6a² Volume: a³ a = sides of a cube
Right Circular Cylinder	LSA: 2(π × r × h) TSA: 2πr (r + h) Volume: π × r² × h r = radius, h = height
Right Pyramid	LSA: ½ × p × l TSA: LSA + Area of the base Volume: ⅓ × Area of the base × h p = perimeter of the base, l = slant height, h = height
Prism	LSA: p × h TSA: LSA × 2B Volume: B × h p = perimeter of the base, B = area of base, h = height
Right Circular Cone	LSA: πrl TSA: π × r × (r + l) Volume:⅓ × (πr²h) r = radius, l = slant height, h = height
Hemisphere	LSA: 2 × π × r² TSA: 3 × π × r² Volume: ⅔ × (πr³) r = radius
Sphere	LSA: 4 × π × r² TSA: 4 × π × r² Volume: 4/3 × (πr³) r = radius

Class 9 Maths Formulas For Statistics

Certain facts or figures which can be collected or transformed into some useful purpose are known as data. These data can be graphically represented to increase readability for people.

Three measures of formulas to interpret the ungrouped data:

Category	Mathematical Formulas
Mean, \(\bar{x}\)	\(\frac{\sum x}{n}\) x = Sum of the values; N = Number of values
Standard Deviation, \(\sigma\)	\(\sigma= \sqrt{\frac{\sum_{i=1}^{n}\left(x_{i}-\overline{x}\right)^{2}}{N-1}}\) x_i = Terms Given in the Data, x̄ = Mean, N = Total number of Terms
Range, R	R = Largest data value – Smallest data value
Variance, \(\sigma^2\)	\(\sigma^2\ = \frac{\sum x_{i}-\bar{x}}{N}\) x = Item given in the data, x̅ = Mean of the data, n = Total number of items

Class 9 Maths Formulas For Probability

Probability is the possibility of any event likely to happen. The probability of any event can only be from 0 to 1 with 0 being no chances and 1 being the possibility of that event to happen.

\(Probability=\frac{Number\: of\: favourable\: outcomes}{Total\: Number\: of\: outcomes}\)

CHECK DETAILED CBSE SYLLABUS FOR CLASS 9 FROM HERE

All Formulas Of Maths Class 9 NCERT: Important FAQs Related To Maths Formulas For Class 9

Q1: Is it necessary to understand the derivation of the Maths formulas?
A: It is a good practice to understand the derivation of the Maths formulas. That way, you can arrive at the formulas yourself even if you forget them in the exam.

Q2: How can I learn these math formulas?
A: Mathematics is a subject of logic. Therefore, it should be interpreted in the same way. You can learn these formulas by understanding them logically. Then, you can try solving the questions by implementing these formulas.

Q3: Are these Class 9 Maths formulas based on NCERT?
A: We have compiled these Class 9 Maths formulas so that students can understand them. These formulas are based on NCERT, ICSE, and all the other respective boards.

Q4: Where can I practice for more Class 9 Maths questions?
A: You can practice for Class 9 Maths questions at Embibe. Embibe offers you topic-wise questions which are available for free.

Q5: Is NCERT Maths enough for Class 9?
A: Yes, for Class 9. NCERT Maths book is enough. Just make sure you understand all the concepts and solve all the questions diligently. Note that regular practice is a must.

These are some of the important maths formulas for Class 9 which will be helpful to you in making your preparation journey a rather easy one. Take free Class 9 Maths Mock Tests of Embibe. Refer to the formulas whenever required. Make the best use of all the available resources. Securing a high score in Maths will be a cakewalk for you.

Pro Tip: Embibe offers interactive learning videos and topic-wise practice questions for the CBSE Class 9 exams. Through the world's most intelligent AI-based educational platform we offer calibrated feedback based on your performance and guarantees improvement in days. Take our free mock test today.

Now that we got a detailed article on Class 9 Maths Formulas, if you have any queries, feel free to ask in the comments section below. We will get back to you at the earliest.

Embibe wishes you all the best!

11236 Views