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 × (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 |

\((a+b)^{2}=a^2+2ab+b^{2}\) |

\((a-b)^{2}=a^{2}-2ab+b^{2}\) |

\(\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\) |

\(\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\) |

\(\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\) |

\(\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\) |

\(\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\) |

\(\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\) |

\(\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\) |

\( (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\) |

\( (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\) |

\( (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\) |

\( (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\) |

\( x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz)\) |

\( x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\) |

\( (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\) |

\( x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\) |

\( x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\) |

\( x^{2} + y^{2} + z^{2} -xy – yz – zx = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\)< |

### 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 |
(1/3)πr^{2}h |

Sphere | 4πr^{2} |
(4/3)πr^{3} |

### Heron’s Formula

\(Area ~of~ triangle~ using~ three~ sides =\sqrt{s(s-a)(s-b)(s-c)} \\) | |

Semi-perimeter, s = (a+b+c)/2 |

### Polynomial

Polynomial Formula |

\(P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}-a_{n-2} x^{n-2}+\ldots \ldots+a x+a_{0}\) |

### 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 |

This app is so amazing

Thanks for making this app

Yah byjus is amazing

really appreciable!!!

This is a website(apps are different). And it is actually great. I agree.

Thanks for helping us in study

this aap is amazing

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

Please send all formulas of maths of 9th class

This app is amazing

Thank you byju’s

This app is very important

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

🙂

thank you byjus

This is very important app for students

thanks byjus for this

This app is amazing

helpfull for me , thanks byjus

very helpful and good for all grades in studing maths

Byjus is very helpful app

And

I love it sooooooooooooo much

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

Love byjus, it helped me so much, Thanks

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

BYJU’S is really great and very helpful.

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

Get all the formulas for Class 9 here, by clicking the below links.

Algebra Formulas

Geometry Formulas

Physics Formulas

Thank you so much byju’s

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

It’s a great app

This app is help ful

THIS APP IS VERY HELPFUL FOR ME