## 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 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 real-world problem. Eg – Natural Numbers, Whole |

### Maths Formulas for **Chapter 2 – Polynomials**

Sl No | Different Degree 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. | |||

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 | 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 | Math 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+(n−1)d |

### Maths Formulas for Chapter 6 – Triangles

Sl No | 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) |

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 | Math 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**

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**

| |

Diameter of sphere | 2r |

Surface area of sphere | 4 π r2 |

Volume of Sphere | 4/3 π r3 |

| |

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 |

| |

Slant height of cone | l = √(r2 + h2) |

Curved surface area | πrl |

Total surface area | πr (l + r) |

Volume of cone | ⅓ π r2 h |

| |

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 |