Maths formulas for Class 9 are provided here for the students who consider Mathematics subject as a nightmare and difficult to understand. This may cause them to feel reluctant and lose interest in their studies. Therefore, to help them understand Maths in a simple way, we have accumulated all the important formulas for the 9th standard Maths subject, which students can easily remember.
The formulas are given here as per the NCERT syllabus for all the topics such as Algebra, Geometry, Polynomials, etc.
Also, read the chapterwise notes and study materials for Class 9 Maths to prepare for your examinations.
Class 9 Math Formulas Tables
When you are clear with the logic behind every formula, solving any kind of problem becomes easier. If you are perfect with all the belowmentioned formulas in Maths for Class 9 are listed chapterwise, nothing can stop you from scoring maximum marks in the final examination.
Geometry
Geometry Shapes Formulas for Class 9  

Geometric Figure  Area  Perimeter 
Rectangle  A= l × w
Here, l= length and w= breadth 
P = 2 × (l+w ) 
Triangle  A = (1⁄2) × b × h
Here, b= base and h= height 
P = a + b + c
Here, a,b,c are the sides of the triangle 
Trapezoid  A = (1⁄2) × h × (b_{1}+ b_{2})
Here, b_{1}, b_{2} are length of parallel sides of trapezoid. 
P = a + b + c + d
a,b,c,d are the sides of the trapezoid 
Parallelogram  A = b × h
Here, b= base and h= height 
P = 2 (a+b)
a and b are the sides of the parallelogram 
Circle  A = π r^{2}
Here, r= radius of cicle 
C = 2 π r 
Algebra
Algebraic Identities For Class 9 
\(\begin{array}{l}(a+b)^{2}=a^2+2ab+b^{2}\end{array} \) 
\(\begin{array}{l}(ab)^{2}=a^{2}2ab+b^{2}\end{array} \) 
\(\begin{array}{l}\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\end{array} \) 
\(\begin{array}{l}\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\end{array} \) 
\(\begin{array}{l}\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\end{array} \) 
\(\begin{array}{l}\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\end{array} \) 
\(\begin{array}{l}\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\end{array} \) 
\(\begin{array}{l}\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\end{array} \) 
\(\begin{array}{l}\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\end{array} \) 
\(\begin{array}{l} (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\end{array} \) 
\(\begin{array}{l} (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\end{array} \) 
\(\begin{array}{l} (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\end{array} \) 
\(\begin{array}{l} (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\end{array} \) 
\(\begin{array}{l} x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz xz)\end{array} \) 
\(\begin{array}{l} x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\end{array} \) 
\(\begin{array}{l} (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\end{array} \) 
\(\begin{array}{l} x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\end{array} \) 
\(\begin{array}{l} x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\end{array} \) 
\(\begin{array}{l} x^{2} + y^{2} + z^{2} xy – yz – zx = \frac{1}{2} [(xy)^{2} + (yz)^{2} + (zx)^{2}]\end{array} \) 
Surface Area and Volume Formulas for Class 9
Following maths formulas for class 9 are essential to solve mensuration questions.
Shape  Surface Area  Volume 
Cuboid  2(lb + bh +lh)
l= length, b=breadth, h=height 
lbh 
Cube  6a^{2}
a = side of the cube 
a^{3} 
Cylinder  2πr(h+r)
r = radius of circular bases h = height of cylinder 
πr^{2}h 
Cone  πr(l+r)
r=radius of base l=slant height Also, l^{2}=h^{2}+r^{2}, where h is the height of cone 
(1/3)πr^{2}h 
Sphere  4πr^{2}  (4/3)πr^{3} 
Heron’s Formula
Heron’s formula for class 9 to find the area of triangles is given as
\(\begin{array}{l}Area ~of~ triangle~ using~ three~ sides =\sqrt{s(sa)(sb)(sc)}\end{array} \) 

Semiperimeter, s = (a+b+c)/2 
Polynomial
Polynomial Formula for Class 9 
\(\begin{array}{l}P(x)=a_{n} x^{n}+a_{n1} x^{n1}+a_{n2} x^{n2}+\ldots \ldots+a x+a_{0}\end{array} \) 
Statistics
Important formulas for Class 9 statistics are listed below:
Measure of Central Tendency  
Mean  Sum of Observation/Total number of observation = ∑ x/n 
Median  [(n+1)/2]th term [For odd number of observation]
Mean of (n/2)th term and (n/2+1)th term [For even number of observation] 
Mode  Value which is repeated maximum time in a data set 
Probability Formula for Class 9
Empirical Probability = Number of trials with expected outcome/Total number of Trials 
Class Related Formulas
Maths Formulas for Class 8  Maths Formulas for Class 10  Maths Formulas for Class 11  Maths Formulas for Class 12 
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Get all the formulas for Class 9 here, by clicking the below links.
Algebra Formulas
Geometry Formulas
Physics Formulas
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