ImportantMaths Formulas for Class 9
For most of the students, class 9^{th} Maths is the nightmare and the formulas are very difficult to learn. If you will not show a positive attitude towards learning mathematics then there are chances that may lose your interest from learning.
Sometimes, students feel nervous just before the exams and develop a feeling of insecurity. To handle all these problems wisely, the best idea is to download the complete list of maths formulas for class 9 in PDF format and take with you wherever you go.
Once you are sure of the topics and the logic behind then it is always easy for you to learn the formulas and solve the most difficult problems too. In the next sections, we will discuss the chapter-wise marking scheme and the total number of chapters for study in class 9.
Geometry Shapes Formulas for Class 9 | ||
Geometric Figure | Area | Perimeter |
Rectangle | \(A= l \times w\) | \(P = 2 \left (l+w \right )\) |
Triangle | \(A = \frac{1}{2}bh\) | \(P = a + b + c\) |
Trapezoid | A = \(\frac{1}{2} h \left (b_{1}+ b_{2} \right )\) | \(P = a + b + c + d\) |
Parallelogram | \(A = bh\) | \(P = 2 (b + h)\) |
Circle | \(A=\pi r^{2}\) | \(C = 2 \pi r\) |
Algebraic Identities For Class 9 |
\((a+b)^{2}=a^2+2ab+b^{2}\) |
\((a-b)^{2}=a^{2}-2ab+b^{2}\) |
\(\left (a + b \right ) \left (a – b \right ) = a^{2} – b^{2}\) |
\(\left (x + a \right )\left (x + b \right ) = x^{2} + \left (a + b \right )x + ab\) |
\(\left (x + a \right )\left (x – b \right ) = x^{2} + \left (a – b \right )x – ab\) |
\(\left (x – a \right )\left (x + b \right ) = x^{2} + \left (b – a \right )x – ab\) |
\(\left (x – a \right )\left (x – b \right ) = x^{2} – \left (a + b \right )x + ab\) |
\(\left (a + b \right )^{3} = a^{3} + b^{3} + 3ab\left (a + b \right )\) |
\(\left (a – b \right )^{3} = a^{3} – b^{3} – 3ab\left (a – b \right )\) |
\( (x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\) |
\( (x + y – z)^{2} = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\) |
\( (x – y + z)^{2} = x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\) |
\( (x – y – z)^{2} = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\) |
\( x^{3} + y^{3} + z^{3} – 3xyz = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz\) |
\( x^{2} + y^{2} = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\) |
\( (x + a) (x + b) (x + c) = x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\) |
\( x^{3} + y^{3} = (x + y) (x^{2} – xy + y^{2})\) |
\( x^{3} – y^{3} = (x – y) (x^{2} + xy + y^{2})\) |
\( x^{2} + y^{2} + z^{2} -xy – yz – zx = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\) |
Chapter-wise Marks in Exam
Moreover, once you learn Math Formulas, they are important for other subjects too like Physics, Economics, Chemistry etc. Learning online is the smartest way today with handy learning aid for students. When you learn online, the PDF formulas file is prepared carefully after deep research and observation.
At the same time, you will get hands-on practice material for exam preparation and complete their syllabus faster. For students, basic Mathematics formulas are the foundation for other subjects in class 9. Not only for students, but an online PDF guide and formulas are good for teachers as well and they can use it as a reference and brush up their mathematical skills in minutes.
Chapter of Maths for Class 9
Recently, a new assessment scheme has been introduced for the class 9^{th} CBSE. Students will be assessed on the basis of final exams for each subject carrying 100 marks. It constitutes 80 marks for final exams and 20 marks for internal assessments. Students should know this assessment before they start preparing for the final exams for the current session. Also, students must-have a depth understanding of the basic concepts of each chapter and their respective formulas.
In the previous section, we have already given chapters for class 9^{th} and their marking schemes. You should have a complete idea of each chapter before you start preparing for the final exams. These are the number system, Algebra, Geometry, Coordinate Geometry, Mensuration, Statistics, and Probability. These topics are common when you prepare for competitive exams too and they had a plenty of real-life applications too. So, start your foundation today and be a front-runner in your future.
Chapter-wise Maths Formulas for Class 9
Here, are the benefits you should understand while studying important math formulas chapter-wise for class 9.