Table of Contents
Maths Formulas for Class 10
Memorizing Maths 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 All Maths formulas in Class 10. These Maths Formulas for class 10 lay the mathematical groundwork for high school, college, entrance exams, and even higher education. Students who memorize Maths formulas for class 10 in school days perform better in math exams in different sectors. All Formulas of Maths Class 10 assist students in solving mathematical problems more accurately and efficiently.
All Formulas of Maths Class 10
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, medicine, commerce, finance, computer science, and so on. The most prevalent formulas implemented in class 10 are used in almost every sector. These CBSE Maths Formulas for Class 10 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.
Maths Formulas Chart for Class 10
There are formulae for real numbers, polynomials, quadratic equations, trigonometry, statistics, probability, and more in the Maths Formulas 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 Chapterwise Maths 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 Formulas of Maths Class 10 Chapterwise
In this, ALL MATHS FORMULAS Class 10 CHART, Adda School has covered all the formulas for Math Class 10. It will give you every chapterwise Maths Formulas 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 maths 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 the 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 Maths Formulas. Hence, review this entire All Formulas of Maths Class 10 Chart 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 Formulas of Maths Class 10
Check out the chapter wise all Formulas of Maths Class 10 given below:
Maths Formulas for Chapter 1 – Real numbers
Sl No  Type of Real Numbers  Real Numbers Examples 
1  Natural Numbers  Eg – N= {1,2,3,4,5,6….. so on 
2  Whole Numbers  Eg – W= {0,1,2,3,4,5 …..so on 
3  Integers  All whole numbers, including negative numbers + Positive numbers.Eg – 0,1,4,3,2,1,2,3,4,5….(don’t include fractions or decimals) 
4  Positive Integers  Eg – Z+ = 1,2,3,4,5, …… 
5  Negative Integers  Eg – Z– = 1,2,3,4,5, …… 
6  Rational Numbers  A Rational Number can be expressed in the form of p/ q. (where p and q are integers (q> 0)) Eg – 2/3 
7  Irrational Number  An irrational number cannot be expressed in the form of p/q (where p and q are integers (q> 0)). Eg – √5 
8  Real Numbers  A real number can be found on the number line and used in every realworld problem.
Eg – Natural Numbers, Whole 
Maths Formulas for Chapter 2 – Polynomials
Sl No  Different Degrees of Polynomial  General Form 
1  Degree of Polynomial  Highest Power of variable 
2  Linear Polynomial (Degree = 1)  Eg – 2x+3 =0 or 3x+5y = 8, (The graph of the linear axis is always a straight line cutting xaxis at exactly 1 point) 
3  Quadratic Polynomial (Degree = 2)  The General Form of Quadratic Polynomial = ax^2+bx+c
Eg – 3x^2 + 8x + 5 =0 
4  Cubic Polynomial – Degree = 3  The 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.  Equation with Variable  Equations  Conditions 
1  Linear equation in one variable  ax +b =0  a≠0 and a,b are real numbers 
2  Linear equation in two variables  ax+ by+ c =0  a≠0 & b≠0 and a,b & c are real numbers 
3  Linear equation in three variables  ax+ by+ cz= 0  a≠0 , b≠0, c≠0 & a,b,c,d real numbers 
Maths Formulas for Chapter 4 – Quadratic Equations
Sl No  Forms  Quadratic Equations 
1  Standard Form  ax2+ bx + c = 0, a≠0 
2  Quadratic Formula  b ± √D⁄2a
or b ± b2 − 4ac⁄2a 
3  Discriminant in quadratic equation  D = b2 − 4ac 
4  Sum of Roots  −b/a 
5  Product of Roots  c/a 
Maths Formulas for Chapter 5 – Arithmetic Progression
Sl No  Operations  Maths Formulas 
1  nth term in arithmetic progression  a + (n1) d 
2  Sum of the first n terms in arithmetic progression  Sn = n/2 2a+(n−1)d 
Maths Formulas for Chapter 6 – Triangles
Sl No  Particular  Math Formula Chart – Triangles 
1  Similarity of Triangles  If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable. 
2  Ratio of Sides of Similar Triangles  Eg – For identical two triangles ABC and XYZ

3  Area of the Similar Triangle  Area of triangle ABC or Area of triangle –
XYZ = (AB)^{2}/ (XY)^{2} = (BC)^{2}/ (YZ)^{2} = (AC)^{2}/ (XZ)^{2} 
4  Inequality of Triangles  The 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 No  Particular  Maths Formulas 
1  Distance (D) Formula to find the distance between two points named (x_{1},y_{1}) and (x_{2},y_{2})  D = √[(x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2} ] 
2  Section Formula  (m_{1}x_{2} + m_{2}x_{1})/m_{1}+ m_{2} , (m_{1}y_{2} + m_{2}y_{1})/m_{1}+ m_{2} 
3  Area of Triangle  A = 1/2 * [ x_{1} (y_{2} – y_{3}) + x_{2} (y_{3} – y_{1}) + x_{3}(y_{1} – y_{2}) ] 
Maths Formulas for Chapter 8 – Trigonometry
All Formulas of Maths Class 10 Trigonometry 

Angle  0°  30°  45°  60°  90° 
Sinθ  0  1/2  1/√2  √3/2  1 
Cosθ  1  √3/2  1/√2  ½  0 
Tanθ  0  1/√3  1  √3  Undefined 
Cotθ  Undefined  √3  1  1/√3  0 
Secθ  1  2/√3  √2  2  Undefined 
Cosecθ  Undefined  2  √2  2/√3  1 
Check More Trigonometry formula
Maths Formulas for Chapter 9 – Areas of Circle
Sl No  Different Areas  Areas of Circle Formulas 
1  Circumference of the circle  2 π r 
2  Area of the circle  π r^{2} 
3  Area of the sector of angle θ  θ = (θ/360) × π r^{2} 
4  Length of an arc of a sector of angle θ  θ = (θ/360) × 2 π r
(r = radius of the circle) 
Maths Formulas for Chapter 13 – Surface Area and Volume
Sphere Formulas


Diameter of sphere  2r 
Surface area of sphere  4 π r2 
Volume of Sphere  4/3 π r3 
Cylinder Formulas


Curved surface area of Cylinder  2 πrh 
Area of two circular bases  2 πr2 
Total surface area of Cylinder 
Curved surface area + Area of Circular bases = 2 πrh + 2 πr2

Volume of Cylinder  π r2 h 
Cone Formulas


Slant height of cone  l = √(r2 + h2) 
Curved surface area  πrl 
Total surface area  πr (l + r) 
Volume of cone  ⅓ π r2 h 
Cuboid Formulas


Perimeter of cuboid  4(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 Cuboid  l × 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 Formula 
Probability of an Incident = No. of Favorable Outcomes / Total Number of Possible Outcomes 