All Math Formulas For Class 10 [ Most Important ]


Math Formulas for Class 10

Memorizing Math formulas for Class 10 is difficult because each chapter contains a large number of formulas to use. When trying to solve a specific chapter, students frequently forget the Math formulas. These math formulas for class 10 lay the mathematical groundwork for high school, college, entrance exams, and even higher education. Students who memorize Math formulas for class 10 in school days perform better in math exams in different sectors. Math Formulas for Class 10 assist students in solving mathematical problems more accurately and efficiently.

Maths formula

Maths Formula Chapter Wise for Class 10 is a collection of formulae from all class 10 chapters, as well as chapter summaries and essential interpretations. As is well known, Class 10 is an important grade for all students pursuing higher education in fields such as engineering, medical, commerce, finance, computer science and so on. The most prevalent formulas implemented in class 10 are used in almost each sector. These CBSE Maths Formulas cover the number system, polynomials, mensuration, trigonometry, algebra, probability, and statistics. As a result, bookmark this article for future reference to revise frequently as it will assist candidates in scoring high marks in Math for your upcoming CBSE Board Exams.

Math Formula PDF 

These Math Formulas will not only help them in their exams but they can also be used in other fields such as different competitive exams. Students can also prepare for the board exams by using the chapter-by-chapter Maths Formula PDF for Class 10. We recommend that students download the Math Formula PDF of these Math Formula Charts so that they can refer to them offline while studying for exams. Read the following article for all of the necessary Math Formula Chart related to Maths Formulas for Class 10.


Basic Math Formulas Chart for Class 10

There are formulae for real numbers, polynomials, quadratic equations, trigonometry, statistics, probability, and more in the Basic Math Formulas Chart for Class 10 textbook. Students can benefit greatly from this Basic Math formula Chart which will help them answer questions more quickly and accurately. Also, if you want to make notes on all of the Chapter-wise Math Formulas for Class 10 please go to the chart below and practice the associated formula questions for better clarity.

Read More: all Algebraic Formulas

All Math Formulas Chart  Chapterwise Math Formulas for Class 10

In this ALL MATH FORMULAS CHART, Adda School has covered all the formulas for Math Class 10. It will give you every chapter-wise Math Formula Chart for Class 10 ranging in difficulty from easy to challenging, which will be very helpful in preparing for your CBSE Class 10 Math Exam or any other state board Class 10 Math Exam. The students find it difficult to recall all of the math formulas for class 10. But it is imperative to learn in order to perform well on the Class 10 board exams, and it is one of Class 10 compulsory Subjects in which kids can perform well to get a high score in total. This 100 marks paper in the Math Class 10 exam covers all the fundamental concepts and all Math Formulas. Hence, review this entire Math Formula Chart for class 10 on a daily basis to score higher.


  • Chapter 1 – Real Numbers
  • Chapter 2 – Polynomials
  • Chapter 3 – Pair of Linear Equations (Two Variables)
  • Chapter 4 – Quadratic Equations
  • Chapter 5 – Arithmetic Progression
  • Chapter 6 – Triangles
  • Chapter 7 – Coordinate Geometry
  • Chapter 8 – Trigonometry
  • Chapter 9 – Areas of Circle
  • Chapter 10 -Areas Related to Circle
  • Chapter 13 – Surface Area and Volume
  • Chapter 14 – Statistics
  • Chapter 15 – Probability

All Maths Formulas

Maths Formulas for Chapter 1 – Real numbers

Sl NoType of Real Numbers Real Numbers Examples
1Natural NumbersEg – N= {1,2,3,4,5,6….. so on
2Whole NumbersEg – W= {0,1,2,3,4,5 … on
3IntegersAll whole numbers, including negative numbers + Positive
numbers.Eg –  0,1,-4,-3,-2,-1,2,3,4,5….(don’t include fractions or
4Positive IntegersEg – Z+ = 1,2,3,4,5, ……
5Negative IntegersEg – Z– = -1,-2,-3,-4,-5, ……
6Rational NumbersA Rational Number can be expressed in the form
of p/ q. (where p and q are integers (q> 0)) Eg – 2/3
7Irrational NumberAn irrational number cannot be expressed in the
form of p/q (where p and q are integers (q> 0)). Eg – √5
8Real NumbersA real number can be found on the number line and used in every real-world problem.

Eg – Natural Numbers,  Whole
Numbers, Rational Numbers, Integers, Fractions, and Irrational
Numbers are all examples of real numbers.

Maths Formulas for Chapter 2 – Polynomials

Sl NoDifferent Degree of PolynomialGeneral Form
1Degree of PolynomialHighest Power of variable
2Linear Polynomial (Degree = 1)Eg –  2x+3 =0 or 3x+5y = 8, (The graph of the linear axis is always a straight line cutting x-axis at exactly 1 point)
3Quadratic Polynomial (Degree = 2)The General Form of Quadratic Polynomial = ax^2+bx+c

Eg – 3x^2 + 8x + 5 =0

4Cubic Polynomial – Degree = 3The general form of a cubic equation is ax^3+bx^2+cx+d=0.

Eg – 3x^3 + 4x^2 +5x+ 6 = 0

Maths Formulas for Chapter 3 – Pair of Linear Equations (Two Variables)

Sl No.
1Linear equation in one variableax +b =0a≠0 and a,b are real numbers
2Linear equation in two variablesax+ by+ c =0a≠0 & b≠0 and a,b & c are real numbers
3Linear equation in three variablesax+ by+ cz= 0a≠0 , b≠0, c≠0 & a,b,c,d real numbers

Maths Formulas for Chapter 4 – Quadratic Equations

Sl NoQuadratic Equations
1Standard Formax2+ bx + c = 0, a≠0
2Quadratic Formula-b ± √D⁄2a

or -b ± b2 − 4ac⁄2a

3Discriminant in quadratic equationD = b2 − 4ac
4Sum of Roots−b/a
5Product of Rootsc/a

Maths Formulas for Chapter 5 – Arithmetic Progression

Sl NoOperationsMath Formulas
1nth term in arithmetic progressiona + (n-1) d
2Sum of the first n terms in arithmetic progressionSn = n/2 2a+(n1)d

Maths Formulas for Chapter 6 – Triangles

Sl NoMath Formula Chart – Triangles
1Similarity of TrianglesIf the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable.
2Ratio of Sides of Similar TrianglesEg – For identical two triangles ABC and XYZ
3Area of the Similar TriangleArea of triangle ABC or  Area of triangle –

XYZ = (AB)2/ (XY)2 = (BC)2/ (YZ)2 = (AC)2/ (XZ)2

4Inequality of TrianglesThe sum of two sides of a triangle is always greater than the third side

Eg – AB + BC > AC

Maths Formulas for Chapter 7 – Coordinate Geometry

Sl NoMath Formulas
1Distance (D) Formula to find the distance between two points named (x1,y1) and (x2,y2)D = √[(x2 – x1)2 + (y2 – y1)2 ]
2Section Formula(m1x2 + m2x1)/m1+ m2 , (m1y2 + m2y1)/m1+ m2
3Area of TriangleA = 1/2 * [ x1 (y2 – y3) + x2 (y3 – y1) + x3(y1 – y2) ]

Maths Formulas for Chapter 8 – Trigonometry


Check More Trigonometry formula

Maths Formulas for Chapter 9 – Areas of Circle

Sl NoDifferent AreasAreas of Circle Formulas
1Circumference of the circle2 π r
2Area of the circleπ r2
3Area of the sector of angle θθ = (θ/360) × π r2
4Length of an arc of a sector of angle θθ = (θ/360) × 2 π r

(r = radius of the circle)

Maths Formulas for Chapter 13 – Surface Area and Volume

Sphere Formulas

Diameter of sphere2r
Surface area of sphere4 π r2
Volume of Sphere4/3 π r3

Cylinder Formulas

Curved surface area of Cylinder2 πrh
Area of two circular bases2 πr2
Total surface area of Cylinder

Curved surface area  + Area of Circular bases = 2 πrh + 2 πr2

Volume of Cylinderπ r2 h

Cone Formulas

Slant height of conel = √(r2 + h2)
Curved surface areaπrl
Total surface areaπr (l + r)
Volume of cone⅓ π r2 h

Cuboid Formulas

Perimeter of cuboid4(l + b +h)
Length of the longest diagonal√(l2 + b2 + h2)
Total surface area of cuboid

2(l×b + b×h + l×h)

Volume of Cuboidl × b × h
,Where l = length, b = breadth and h = height. But In the case of a Cube, put l = b = h = a, (as all its sides of the cube are of equal length, for finding the surface area and volumes)

Maths Formulas for Chapter 15 – Probability

Probability FormulaProbability of an Incident = No. of Favorable Outcomes / Total Number of Possible Outcomes


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  • Balkishan Agrawal

    I bring to you the BEST  for students of Class 9th - 12th. I (Balkishan Agrawal) aim at providing complete preparation for CBSE Board Exams (Maths) along with several other competitive examinations like NTSE, NSO, NSEJS, PRMO, etc. & Maths Reasoning, Vedic Maths at the school level. Wishing you great learning in all aspects of your life!

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