Maths Formulas For Class 10​ Free PDF Download

Class 10 Maths formulas build the base for the higher-level maths concepts and the concepts you are covering in the current standard. To prepare for your upcoming board examinations, you must master the Maths formulas for class 10​ chapter wise. To assist your exam preparation, we are offering high-quality, error-free, and syllabus based class 10 Maths formulas sheet PDF for free.

Our expert teachers have developed this formula sheet meticulously to ease your formula and theorem learning. To access the file, use the maths formulas for class 10 PDF free download​ links mentioned on this page.

Maths Formulas for Class 10 All Chapters​

Find below the Maths formulas for class 10 all chapters. These chapter wise formulas will assist you in revision and question solving. Additionally, you can refer to these chapterwise Maths formulas to recall during the self-assessment.

Real Numbers Formulas for Class 10 Maths

The Class 10 Maths chapter Real Numbers is mostly conceptual, except Euclid's algorithm. To master this chapter, you need to work on concepts discussed in the chapter as well as improve logical understanding to solve the questions asked. Here are some key topics that are discussed in this lesson: Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Revisiting Rational & Irrational Numbers, Decimal Expansion of Rational Numbers, etc. 

Formulas required to cover are Euclid’s division algorithm, prime factorization. Go through the CBSE class 10 Maths formulas PDF to access the Real Number formulas.

Polynomial Expressions Formulas for Class 10 Maths

Degree of a Polynomial, Zeroes of a Polynomial and their relationship with coefficients, Division Algorithm for Polynomials, etc. are the topics covered in the chapter 2 Polynomial Expressions. You are required to learn these concepts as well as practice questions based on the formulas mentioned in the Polynomial Expressions Formulas sheet.

Among several theories and formulas in this lesson, the relationship between roots & coefficients formula is something you require to master; here is the formula: α+β = b/a, αβ = c/a (for quadratic equations)

Linear Equations in Two Variables Formulas for Class 10 Maths

This chapter involves graphical representation of linear equations and methods to solve linear equations such as Substitution, Elimination, and Cross-multiplication. For solution methods there is algebraic manipulation rather than strict formulas. The general form of Linear Equations in Two Variables: ax+by+c = 0

The maths formulas for class 10​ PDF takes you deeper into the concept of Linear Equations in Two Variables where you learn about important points along with types of equations, their mathematical representation, the possible solutions and more.

Quadratic Equations Formulas for Class 10 Maths

The standard form of Quadratic Equations is ax2 + bx+c = 0; where, a,b,c are real numbers, and a equals not 0 (because if a=0, the equation becomes linear). You are required to understand these three methods — Factorization Method, Completing the Square Method, and Quadratic formula method, if factorization is difficult.

Here’s the Quadratic equation formula for class 10 Maths:

Note that, the term inside the square root b2 - 4ac is called the discriminant and determines the nature of the roots. For a detailed overview of this concept refer to the Quadratic Equations maths formulas for class 10​ PDF that we are offering here.

Arithmetic Progression Formulas for Class 10 Maths

Firstly, you learn about the concept of Arithmetic Progression which is “AP is a sequence of numbers where the difference between consecutive terms is constant.” This constant difference is called the common difference (d). Throughout the chapter AP, you use these two formulas:

(1) nth term of an AP: an=a+( n−1)d

(2) Sum of first n terms of an AP:

OR,

where l is the last term.

Triangles Formulas for Class 10 Maths

The concepts covered in Triangles are — Similarity of Triangles (Same shape but different sizes), Basic Proportionality Theorem (Thales Theorem), and Pythagoras Theorem (for right-angled triangles).

Triangles formulas for class 10 Maths are following:

• Thales Theorem: If a line is drawn parallel to one side of a triangle, it divides the other two sides in the same ratio.
• 

• Pythagoras Theorem: a2 + b2 = c2 ; where c is the hypotenuse.

Coordinate Geometry Formulas for Class 10 Maths

The Coordinate geometry helps find distances and locations of points in the (x, y) plane. Here are the three formulas you learn in this chapter:

1. Distance Formula: 

2. Section Formula: If a point divides a line in ratio m₁:m₂, its coordinates are:

2. Midpoint Formula:
3. 

Trigonometry Formulas for Class 10 Maths

Trigonometry helps you deal with angles and their ratios in right-angled triangles. In this chapter, you get to learn about Trigonometric Ratios and Trigonometric Identities.

The formula for Trigonometric Ratios is — 

And the Trigonometric identities formulas are — 

• sin2 A + cos2 A = 1

• 1+ tan2 A = sec2 A

• 1 + cot2 A = csc2 A

Area of Circles Formulas for Class 10 Maths

The Maths formulas for class 10 PDF will help you find the Area of Circles formulas. For detailed topic overview and formula lists you can refer to the PDF provided. 

Here are the three core formulas you will use often in this chapter: Area of a Circle (A=πr2) , Circumference (C = 2πr), and Area of a Sector (θ/360×πr2).

Surface area and Volume Formulas for Class 10 Maths

The below table contains formulas for common 3D shapes. Refer to the class 10 maths formulas PDF for in-depth formula list including a short notes on each topic to brush up your fundamentals. In addition to the formula lists, you get to learn about Volume Unit Conversion.

Statistics Formulas for Class 10 Maths

With the help of CBSE class 10 maths formulas PDF of Statistics you get access to a complete brief of several topics and concepts belong to the term Statistics, however, for your ease, here are the three Statistics formulas of class 10 maths you will use most often:

Mean:   

Median:

Use cumulative frequency.

Mode:

Probability Formulas for Class 10 Maths

The core concept of Probability is that Probability = Favorable Outcomes / Total Outcomes. Let's take an example to better illustrate this:

Example: If a dice is rolled, what's the probability of getting an even number?

Solution: 

Favorable outcomes: 2, 4, 6 (3 outcomes),

Total outcomes: 6

As per the formula, Probability = Favorable Outcomes / Total Outcomes, here is the answer:

P(E) = 3/6 = 1/2

Process to Download the Class 10 Maths All Formulas PDF from SelfStudys

In this section, the steps that will help you to access the class 10 Maths all formulas PDF from our website are mentioned in detail. You can follow them one by one to complete the process smoothly. 

• The homepage of our website will be displayed on your screen once you type www.selfstudys.com on an internet browser. 

• There will be a variety of elements present from which you need to click on the ‘Navigation’ icon. 

• Now, you can check out our main categories and select the ‘CBSE’ section. 

• This section will further display its sub-categories. Here, you should tap on the ‘Formula Class Wise’ option. 

• Soon, all the classes for which our experts prepare the formula sheets will open up and you can tap on the ‘class 10’ icon. 

• Then, the subjects list will appear where you can click on the particular icon to get the Maths formulas for class 10 all chapters​. 

• You have the option to choose any chapter related to the Maths formulas for class 10​.

• Finally, the specific file will open up on your screen and you can save the Maths formulas for class 10 PDF free download​ on your device. 

Note: You need to do Google Log In or Sign Up on SelfStudys for the downloading of the class 10 Maths formulas sheet. 

Techniques to Use Class 10 Maths Formulas to Solve Questions

You can build your own techniques to use the Class 10 Maths formulas to solve the questions; the better your techniques, the more efficient you become, so here are some solid strategies our experts have shared.

1. Understand the How & Why of Formulas

Don’t be like 99% of students who mug up all the formulas repeatedly so that they can fit in their brains till they appear for the exam. To solve the maths questions effectively using the class 10 formulas, ensure you have developed an in-depth understanding of the concepts behind the formulas. It’s crucial because it will help increase your efficiency in using the CBSE Class 10 Maths formulas appropriately in solving problems.

2. Get Hands-on Experience With Applying Formulas to the Questions

Once you develop a strong conceptual understanding of the formulas, get hands-on experience by solving a variety of questions to get an idea of how one formula fits in different contexts. Implementing this strategy will boost your understanding and aid you in retrieving class 10 maths formulas for a longer period of time.

3. Approach Problems Strategically

Knowing the formulas isn’t enough; it’s important to develop problem-solving strategies to boost your efficiency, for which you can do the following: (1) Identify questions’ type — this helps you decide which formulas to use when answering the question. (2) Break down the complex questions — they say that if you understand the problem, the problem is half solved, and this is true in this context. Try to break the complex or lengthy questions into smaller parts to better understand the question’s requirements.

4. Leverage Mental Math Calculation

We all perform mental math calculations whether you’re buying something or making any strategy in mind. You have to leverage the same mental math calculations to solve problems faster; for example, you can simply use the power calculation techniques to multiply larger numbers faster.

5. Review Your Mistakes Analysis

This can’t be overlooked. You must review each chapter of Maths formulas for class 10 PDF and their applications to boost memory. You also need to pay attention to the mistakes you’re making while reviewing the formulas and their applications.

3 Common Mistakes to Avoid When Using Class 10 Maths Formulas

Throughout your academic session, you may have read many mistakes that need to be avoided while using math formulas. The following mistakes are also common, but you may not have read about them a lot earlier.

1. Using the Wrong Formula

This is a very common mistake most students make, and you shouldn’t make it. The choice of the wrong formula to solve the question happens when you don’t understand either the question or the formula’s context. To save yourself from losing marks due to misapplication of formulas, ensure the question or formula requirement. You can master the correct formula application by practising a plethora of CBSE class 10 Maths questions.

2. Unclear Understanding of Trigonometric Identities

Several class 10 students struggle with this mistake, and their misunderstanding and assumptions cause them to make mistakes in answering the trigonometric-related questions. For example, when a student assumes that sin (x+y) = sin x + sin y because they have studied the same method while studying to simplify the expressions, it becomes a wrong approach. The trigonometric identities and their methods are different from the actual expression of sin (x+y) = sin x cos y + cos x sin y. To avoid this mistake, it’s crucial to pay attention to detail and a clear understanding of the formulas and their contexts.

3. Rote Memorisation of Formulas

I believe rote memorisation is cheating; we all do it at least once in our lifetime. If you’ve memorised the formula without understanding its derivations and concepts and appear for the maths exam, you might get into trouble while writing answers. It is because the CBSE class 10 Maths board questions are also trickier and slightly tweaked, which you might face difficulty solving without a proper understanding of the formulas. Hence, it is best to practice lots of questions using the same formulas to get a better understanding of it.

Conclusion

Maths formulas for class 10 play a crucial role in building a strong foundation for higher-level mathematical concepts and problem-solving skills. Mastering chapter-wise formulas will not only help you perform well in your board exams but also enhance your logical and analytical thinking. To support your CBSE Class 10 board exam preparation, we provide a comprehensive Class 10 Maths formulas PDF that provides error-free, syllabus-based formula sheets curated by expert teachers. By using these resources effectively—practicing problems, applying formulas strategically, and reflecting on mistakes—you can strengthen your grasp of key mathematical concepts and boost your confidence in tackling exam questions. Use Maths formulas for class 10 PDF free download​ links to access the PDF to make your preparation more structured and efficient.