Maths Formulas for Class 10

Safalta Expert Published by: Noor Fatima Updated Fri, 04 Nov 2022 10:34 AM IST

Highlights

Here is important and relevant information regarding Maths Formulas for Class 10. Read the article to learn all the formulas of Maths Class 10. 

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Maths Formulas for Class 10: You must be aware of the significance of Class 10. Your parents, teachers, and seniors must have shared why Class 10 is so important. There is no doubt that this Class lays a foundation for your upcoming classes and plays an important role in selecting the career option after Class 12. Among all the subjects in Class 10, including English, Hindi, Social Science,  Science, and Maths is considered to be the most difficult one by many students. Here in this blog, we will learn about the key formulas for Class 10. This is one stop for all the formulas you need to solve Class 10 Maths questions.

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These formulas will help you solve the questions quickly. So, here we go.

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Table of Content
General Maths Formulas for Class 10
Maths Formulas for Class 10: All Chapters 
Chapter 1: Real Numbers
Chapter 2: Polynomials 
Chapter 3: Pair of Linear Equations in two variables
Chapter 4: Quadratic equations
Chapter 5: Arithmetic Progression
Chapter 6: Triangles 
Chapter 7: Coordinate Geometry
Chapter 8: Trigonometry 
Chapter 10: Areas of Circle
Chapter 12: Areas Related to Circles
Chapter 13: Surface Areas and Volume 
Chapter 14: Statistics 
Chapter 15: Probability 
Extra Maths Formulas for Class 10 Trigonometry 

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General Maths Formulas for Class 10

Below are the important Maths Formulas for Class 10
  1. (a+b)2 = a2 + b2 + 2ab
  2. (a-b)2 = a2 + b2 – 2ab
  3. (a+b) (a-b) = a2 – b2
  4. (x + a)(x + b) = x2 + (a + b)x + ab
  5. (x + a)(x – b) = x2 + (a – b)x – ab
  6. (a + b)3 = a3 + b3 + 3ab(a + b)
  7. (a – b)3 = a3 – b3 – 3ab(a – b)
  8. (x – a)(x + b) = x2 + (b – a)x – ab
  9. (x – a)(x – b) = x2 – (a + b)x + ab
  10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  15. x2 + y2 =½ [(x + y)2 + (x – y)2]
  16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  17. x3 + y3= (x + y) (x2 – xy + y2)
  18. x3 – y3 = (x – y) (x2 + xy + y2)
 

Maths Formulas for Class 10: All Chapters 

Let’s have a look at the Maths Formulas for Class 10.
 

Chapter 1: Real Numbers

The first chapter of Class 10th Maths will provide you with numerous concepts associated with Natural Numbers, Whole numbers, Real Numbers, etc. Let’s go through the Maths Formulas for Class 10 for Chapter 1: Real Numbers. 
  1. Natural Numbers: N ={ 1, 2,3,4,5 … } 
  2. Whole Numbers: W={ 0, 1, 2, 3, 4, 5… }
  3. Rational Numbers: Those numbers which can be presented in the form of a/b are called Rational Numbers. 
  4. Real Numbers: Real Numbers can be found on a number line  
 

Chapter 2: Polynomials 

With the help of Class 10 Maths Chapter 2 Polynomials, you will be bake to understand multiple degrees such as cubic linear, Quadratic, etc. Below are the important Math formulas for Class 10 for Chapter 2: Polynomials.  




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Chapter 3: Pair of Linear Equations in two variables

Pair of linear equations in two variables is a vital chapter having various significant Maths Formulas for Class 10, particularly from the point of view of competitive exams. 

Below are the important Math formulas for Class 10 from Chapter 3: Pair of Linear Equations in two variables. 
  1. Linear equation in one variable: ax +b =0 
  2. Linear equation in two variables: ax+ by+ c =0 
  3. Linear equation in three variables: ax+ by+ cz= 0 

Chapter 4: Quadratic equations 

Quadratic equations are one of the most important chapters that focus on laying a strong foundation for higher classes in the same subject.  
Here are the important Math formulas for Class 10 from Chapter 4: Quadratic equations. 

 

Chapter 5: Arithmetic Progression

Arithmetic progression is an important chapter for Class 10 as it consists of multiple questions for schools and competitive exams. 

Below are the important Math formulas for Class 10 from Chapter 5: Arithmetic Progression. 
 

Chapter 6: Triangles 

The geometry section begins with Chapter 6 Triangles in Class 10. Here you will learn about the application of numerous characteristics of Triangles and how to employ them in questions.

Here are the important Math formulas for Class 10 from Chapter 6: Triangles. 
 

Chapter 7: Coordinate Geometry

Chapter 7 Coordinate Geometry will help you learn numerous concepts, which are an important part of the maths of Class 11th and 12th. 
Major Maths Formulas for Class 10 from Chapter 7: Coordinate Geometry is as follows-
  1. Sinθ= 1/ Cosecθ or Sin θ.Cosecθ= 1
  2. Cosθ= 1/Secθ or Cos θ.Secθ= 1
  3. Tanθ= 1/Cotθ or Tanθ.Cotθ= 1
  4. Sin (A+B)= SinA.CosB + CosA.SinB
  5. Sin (A-B)= SinA.CosB – CosA.SinB
  6. Cos (A+B)= CosA.CosB- SinA.SinB
  7. Cos (A-B)= CosA.CosB+SinA.SinB
  8. Tan (A+B)= (TanA + TanB)/ (1-TanA TanB)
  9. Tan (A-B)= (TanA- TanB)/ (1+TanA TanB)
 

Chapter 8: Trigonometry 

Trigonometry is an interesting chapter of Class 10, having various formulas and concepts for Class 10th board exams.
Having command over Trigonometry formulas can assist you in scoring good grades in your maths board exams.

Important maths formulas for Class 10 from Chapter 8: Trigonometry is as follows-

 

Chapter 10: Areas of Circle

Areas of Circle will help you learn numerous basics for higher classes, such as architecture and engineering.

Below are the important Math formulas for Class 10 from Chapter 10: Areas of Circle are as follows-

 

Chapter 12: Areas Related to Circles

Circles consist of multiple figures inside them. Therefore, you will learn about other geometrical facets of those figures.

Important Maths formulas for Class 10 from Chapter 12: Areas Related to Circles are as follows-

 

Chapter 13: Surface Areas and Volume 

Surface Areas and Volume is a significant part of the maths syllabus from Class 6th or 7th. 
Therefore, in Class 10, this chapter consists of numerous formulas for a better understanding of the concept.

Below are the important Math formulas for Class 10 from Chapter 13: Surface Areas and volume are as follows-
 

Chapter 14: Statistics 

Important Maths formulas for Class 10 from Chapter 14: Statistics are-
 

Chapter 15: Probability 

Significant Formulas for Maths Class 10 from Chapter 15: Probability is as follows-

 

Extra Maths Formulas for Class 10 Trigonometry 

  1. sin θ = Side opposite to angle θ/ Hypotenuse = Perpendicular/Hypotenuse= P/H
  2. cos θ = Adjacent side to angle θ/ Hypotenuse= Adjacentside/ Hypotenuse= B/H
  3. tan θ = Side opposite to angle θ/ Adjacent side to angle θ
  4. sec θ = 1/ cosθ
  5. cot θ = 1/ tanθ
  6. cosec θ = 1/ sinθ
  7. tan θ = Sinθ/ Cosθ
  8. sin (90° – θ) = cos θ
  9. cos (90° – θ) = sin θ
  10. tan (90° – θ) = cot θ
  11. cot (90° – θ) = tan θ
  12. sec (90° – θ) = cosecθ
  13. cosec (90° – θ) = secθ
  14. sin2θ + cos2 θ = 1
  15. sec2 θ = 1 + tan2θ for 0° ≤ θ < 90°
  16. Cosec2 θ = 1 + cot2 θ for 0° ≤ θ ≤ 90° 
We hope we have made you learn about Maths Formulas for Class 10. If you need any assistance, reach out to Safalta School Online. 

How many chapters are there in Maths Class 10?

15 Chapters.

Why are Maths Formulas for Class 10 Important?

There is no doubt that this Class lays a foundation for your upcoming classes and plays an important role in selecting the career option after Class 12.

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