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Maths Formulas for Class 10, Chapterwise All Formulas of Maths Class 10

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 Chapter-wise 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 chapter-wise 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
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 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 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 x-axis 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 + (n-1) d
2 Sum of the first n terms in arithmetic progression Sn = n/2 2a+(n1)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

  • AB/XY= BC/YZ= CA/ZX.
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 (x1,y1) and (x2,y2) D = √[(x2 – x1)2 + (y2 – y1)2 ]
2 Section Formula (m1x2 + m2x1)/m1+ m2 , (m1y2 + m2y1)/m1+ m2
3 Area of Triangle A = 1/2 * [ x1 (y2 – y3) + x2 (y3 – y1) + x3(y1 – y2) ]

Maths Formulas for Chapter 8 – Trigonometry

 All Formulas of Maths Class 10 -Trigonometry
Angle 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 r2
3 Area of the sector of angle θ θ = (θ/360) × π r2
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


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What is the basic algebra formula for 10th class?

What is the basic algebra formula for 10th class?

Is Class 10 Math easy ?

The difficulty level of the questionnaire of class 10 is easy to moderate.

What are the 4 types of algebra ?

The four types of algebra are elementary algebra, linear algebra, commutative algebra, abstract algebra, and advanced algebra.

How can I get 95 in maths class 10?

Practice previous year question papers of the last 10 years of CBSE or the State boards. Attempt more sample papers to boost your confidence.

Is a 90% marks in class 10 good?

Yes, 90%, and the above score is good for getting the desired stream to study further.

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