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CBSE Class 10 Maths Formulas and Important Equations

VSAT 2023

CBSE Class 10 Maths Formulas and Important Equations

Maths is an important and basic subject for the school students and most of the students also consider it as a tough subject as well because of its practical nature. This is a subject that includes a lot of formulas that are used for problem-solving and that too requires a lot of practice to become a master in Maths concepts and their formulas. Think of a question related to the area or volume of any object. You can not find out its answers unless you are aware of these formulas. Thus, it becomes very important to learn and revise these formulas regularly if we even talk about basic Maths for Class 10.

Vedantu knows that it is an important task but also very time-consuming. Thus, we have brought Maths formulas for Class 10 PDF of each chapter to ease the preparation of the students which will help them to practice more and score better. Students can find NCERT Solution for each Chapter of Class 10 Maths on Vedantu. Vedantu provides the formulae for Class 10 Maths according to the updated syllabus, latest for the present academic year. You can also Download NCERT Solutions Class 10 Science and to help you to revise complete Syllabus and score more marks in your examinations.

Last updated date: 12th May 2023
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CBSE Class 10 Math Related Study Material

Class 10 Math Important Formulas and Equations 

Linear Equations

One Variable

ax+b=0, a≠0

Two variable

ax+by+c = 0, a≠0, b≠0 

Three Variable

ax+by+cz+d=0, a≠0, b≠0, c≠0


Pair of Linear Equations in Two Variables



Quadratic Equations 

Standard Form of Quadratic Equation

ax2+ bx + c = 0, a≠0 

Quadratic Formula

-b ± √D⁄2a  or -b ± b2 − 4ac⁄2a  


D = b2 − 4ac

Sum of Roots


Product of Roots


Arithmetic Progression

nth term for arithmetic progression

a + (n-1) d

Sum of the first n terms 

Sn = n/2 [2a + (n-1) d]


  • sin(90° – θ) = cos θ

  • cos(90° – θ) = sin θ

  • tan(90° – θ) = cot θ

  • cot(90° – θ) = tan θ

  • sec(90° – θ) = cosecθ

  • cosec(90° – θ) = secθ

  • sin2θ + cos2 θ = 1

  • sec2 θ = 1 + tan2θ for 0° ≤ θ < 90°

  • Cosec2 θ = 1 + cot2 θ for 0° ≤ θ ≤ 90°


  • Circumference = 2 π r

  • Area = π r2

  • Area of the sector of angle θ = (θ/360) × π r2

  • Length of an arc of a sector of angle θ = (θ/360) × 2 π r

Surface Area and Volumes

Total surface area of cuboid.

2 (l×b + b×h + l×h)

Volume of Cuboid.

l × b × h

Surface area of sphere.

4 π r2

Volume of Sphere.

4/3 π r3

Curved surface area of Cylinder.


Area of two circular bases.


Total surface area of Cylinder.

Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr2

Volume of Cylinder.

πr2 h

Slant height of cone.

l = √(r2 + h2)

Curved surface area of cone.


Total surface area of cone

πr (l + r)

Volume of cone.

⅓ π r2 h

Formula for Class 10 Mathematics

Consolidation of CBSE Class 10 Math formulas is not an easy task for the students but also very essential. It is necessary for Class 10 board exams and Math is one of the compulsory subjects in Class 10 which can help the students to get good percentages. This exam is of 100 marks and covers all the basic topics of Mathematics and we at Vedantu have covered all formulas of Math Class 10 NCERT PDF for your preparation. This exam gives students 3 hours of duration to attempt and you will only be able to attempt the entire paper if you are aware of the concepts and their formulas because this is a time-consuming paper because of its problem solving and calculative nature. So you need to master these 10th Class Math formulas for which you can use PDFs created by Vedantu.

Why Should You go for all Formulas of Math Class 10 NCERT PDF?

Formulas are the basic requirement for a subject like Mathematics and concise notes of formulas for Class 10 will be beneficial for the students in many ways such as:

  • Math formulas for Class 10 PDF will help the students to cover important formulas of all the chapters easily.

  • Students can get all the formulas of each chapter in one place which they can download with the internet.

  • These formulae notes are prepared by the Math experts according to the latest syllabus of the CBSE and as per the demand of each chapter. 

  • The experts have included all the necessary formulas in the CBSE Class 10 Math formulas pdf so that students can revise all the important things in one place before any test or exam.

  • We know that it takes a lot of time to prepare precise notes of any topic or subject and it also should be made in a way that becomes easy to revise at the end and which are inclusive of everything necessary. Vedantu solved this problem for the students by providing 10th Class Math Formulas in English PDF of each chapter.

  • Students can use these 10th Class Math formulas list and align them along with their preparation and start solving problems according to them.

  • Chapters like Trigonometry and surface area volume have a lot of formulas without which problems can not be solved. Thus, these PDFs will help you to cover important formulas of Math Class 10.

Chapters Covered in the PDF

All formulas of Math Class 10 CBSE PDF covers all the chapters of Class 10 CBSE individually and you can download formulas PDF of each chapter individually on the Vedantu platform. The chapters it covers include real numbers, polynomial equations, and quadratic equations pair of linear equations in two variables, arithmetic progressions, triangles, coordinate geometry, Introduction to trigonometry, applications of trigonometry, circles, surface area and volume, statistics, probability. All formulas of Math Class 10 NCERT PDF download of these chapters are linked here and you can search them separately as well and then can download the PDFs and start your preparation.

General Tips for Class 10 Math Preparation

  • Prepare all the concepts of each chapter properly at the starting of the syllabus and then try to focus on key areas with maximum weightage and key areas where you are lacking.

  • Do prepare and revise the formula of Math Class 10, again and again, to remember them for the exam.

  • Do integrate mocks tests, revision notes, sample papers, and previous year papers along with Math formulas for Class 10 board exams.

  • Do remember practice makes you perfect in Math problem solving and calculation as well.

  • Do practice questions of linear equations on graphs for proper representation of the required details and practice statistics & surface area volume a lot to learn these concepts properly.


Thus, to sum up we can say that there is no doubt formulas are the basic nature of Math without which problems can not be solved and for Board examinations like Class 10 students need to master these formulas so that they can score good marks in Math at the end. In the preparation journey of Math, consolidated notes of Class 10 formulas will be beneficial. Students will be able to learn and revise the topics easily before any test or final exam by going through these PDFs of Math Formulas for Class 10 of each chapter and they do not need to waste their time here and there searching for any formula. To include these PDFs in your preparation and excel in your board exams.

We have seen the importance of formulas in Class 10 Math. Let's see some FAQs:

Download the CBSE Class 10 Math Important Formulas PDF for free at Vedantu’s website or app to access them online and offline. Go through these formulas once before your exam day to brush up on the topics and we bet you’ll be able to kill your exam!

FAQs on CBSE Class 10 Maths Formulas and Important Equations

Q1. How can I Score Good Marks in Class 10 Maths?

Answer. Maths is an important scoring subject in Class 10 and scoring good marks is what everyone wants in board exams but what you do differently than others matters. For good marks on the Class 10 board, you can start your preparation by going through the syllabus, covering NCERTs in the beginning, and then using some standard books like RD Sharma or RS Aggarwal to master your concepts, solving mocks tests, latest sample & previous year papers, use of revision and formulas notes, etc. will help you to make a difference in your preparation strategy and will help you score better than others.

Q2. Are NCERTs Enough for Class 10 Maths?

Answer. Well, CBSE gives choice to the students in Class 10 to opt for basic Maths or Standard Maths for the Board exams. For basic Maths, NCERTs books are enough and are a great source to cover the syllabus but for standard Maths, you have to cover NCERTs along with some standard books such as RD Sharma and RS Aggarwal.  Cover the entire syllabus with the help of the required books and so include CBSE Class 10 Maths Formulas Pdf and practice again and again to master the problems of the chapters of these books.

Q3. Should I Need to Solve the Previous Year's Paper or Sample Papers for Class 10 Maths?

Answer. Solving previous year papers or latest sample papers help a lot in your preparation journey of any subject and if you include these things in your practice you will yield a lot of benefits in the end. These papers help you to practice the problems of Maths and to learn and revise the formulas or topics as well. These papers will guide you on where you are going well and where you need to improve. Thus, it is advisable to include these papers in your preparation.