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 from studies. Therefore, to help them understand Maths in a simple way, we have accumulated all the important formulas for 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.
Class 9 Math Formulas Tables
When you are clear with the logic behind every formula, solving any kind of problem become easier. If you are perfect with all the belowmentioned formulas in Maths for Class 9 that is 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  P = 2 × (l+w ) 
Triangle  A = (1⁄2) × b × h  P = a + b + c 
Trapezoid  A = (1⁄2) × h × (b_{1}+ b_{2})  P = a + b + c + d 
Parallelogram  A = b × h  P = 2 (a+b) 
Circle  A = π r^{2}  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 Volumes
Shape  Surface Area  Volume 
Cuboid  2(lb + bh +lh)
l= length, b=breadth, h=height 
lbh 
Cube  6a^{2}  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
\(\begin{array}{l}Area ~of~ triangle~ using~ three~ sides =\sqrt{s(sa)(sb)(sc)}\end{array} \) 

Semiperimeter, s = (a+b+c)/2 
Polynomial
Polynomial Formula 
\(\begin{array}{l}P(x)=a_{n} x^{n}+a_{n1} x^{n1}a_{n2} x^{n2}+\ldots \ldots+a x+a_{0}\end{array} \) 
Statistics
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
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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