Maths Formulas for Class 9

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 below-mentioned formulas in Maths for Class 9 that is listed chapter-wise, 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 × (b1+ b2) P = a + b + c + d
Parallelogram A = b × h P = 2 (a+b)
Circle A = π r2 C = 2 π r

Algebra

Algebraic Identities For Class 9
\(\begin{array}{l}(a+b)^{2}=a^2+2ab+b^{2}\end{array} \)
\(\begin{array}{l}(a-b)^{2}=a^{2}-2ab+b^{2}\end{array} \)
\(\begin{array}{l}\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\end{array} \)
\(\begin{array}{l}\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\end{array} \)
\(\begin{array}{l}\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\end{array} \)
\(\begin{array}{l}\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\end{array} \)
\(\begin{array}{l}\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\end{array} \)
\(\begin{array}{l}\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\end{array} \)
\(\begin{array}{l}\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\end{array} \)
\(\begin{array}{l} (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\end{array} \)
\(\begin{array}{l} (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\end{array} \)
\(\begin{array}{l} (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\end{array} \)
\(\begin{array}{l} (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\end{array} \)
\(\begin{array}{l} x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz)\end{array} \)
\(\begin{array}{l} x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\end{array} \)
\(\begin{array}{l} (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\end{array} \)
\(\begin{array}{l} x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\end{array} \)
\(\begin{array}{l} x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\end{array} \)
\(\begin{array}{l} x^{2} + y^{2} + z^{2} -xy – yz – zx = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\end{array} \)
<

Surface Area and Volumes

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

l= length, b=breadth, h=height

lbh
Cube 6a2 a3
Cylinder 2πr(h+r)

r = radius of circular bases

h = height of cylinder

πr2h
Cone πr(l+r)

r=radius of base

l=slant height 

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

(1/3)πr2h
Sphere 4πr2 (4/3)πr3

Heron’s Formula

\(\begin{array}{l}Area ~of~ triangle~ using~ three~ sides =\sqrt{s(s-a)(s-b)(s-c)} \\end{array} \)
Semi-perimeter, s = (a+b+c)/2

Polynomial

Polynomial Formula
\(\begin{array}{l}P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}-a_{n-2} x^{n-2}+\ldots \ldots+a x+a_{0}\end{array} \)

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

 

Test your knowledge on Maths Formulas For Class 9

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*

  1. This app is so amazing
    Thanks for making this app

  2. Thanks for helping us in study

  3. this aap is amazing

  4. Sar Hamen Ek Taraf maths ka formula pure chapter ka class 9th aur theorem bhi Sabhi chapter ka chahie mera WhatsApp number hai 90 26 915607

  5. Please send all formulas of maths of 9th class

  6. This app is amazing

  7. Thank you byju’s

  8. This app is very important

  9. thankyou soo much byju’s for for making this app. we need all the maths 9th grade formulas for math so when will u send it?

    thankyou
    🙂

  10. This is very important app for students

  11. thanks byjus for this

  12. This app is amazing

  13. helpfull for me , thanks byjus

  14. very helpful and good for all grades in studing maths

  15. Byjus is very helpful app
    And
    I love it sooooooooooooo much

  16. such a great i love it i fount what i am searchering for a long

  17. Love byjus, it helped me so much, Thanks

  18. BYJU’S HELPED ME TO STUDY BETTER IN LOCKDOWN . SO THANK YOU BYJU’S

  19. BYJU’S is really great and very helpful.

  20. Send the science and maths formulas and other things that it can be use ful for my studies and for exam

  21. Thank you so much byju’s

  22. This app is so amazing that it has an solution to every question. THANK YOU!

  23. It’s a great app

  24. This app is help ful

  25. THIS APP IS VERY HELPFUL FOR ME

DOWNLOAD

App NOW