CBSE Class 10 Maths Formulas 2025: All Concepts and Chapters

Maths Formulas for Class 10: Mathematics is a foundational subject that can be both challenging and rewarding. Success in this field, especially for the CBSE Class 10 board exams, hinges on a strong command of its core principles. Formulas are the building blocks of mathematics; they provide a shortcut for solving complex problems and are essential for a quick and accurate approach. Therefore, whether a student loves the subject or struggles with it, mastering these fundamental equations is a non-negotiable step toward achieving proficiency. This mastery is best achieved not through rote memorization, but through consistent daily practice that embeds these concepts firmly in one's mind.

To assist students in their preparation, having a comprehensive and organized list of these important formulas is incredibly useful. This resource serves as a quick reference guide for revision, helps identify key areas of focus, and ensures that no crucial formula is overlooked. By using this list alongside regular practice, students can build confidence, reduce exam-day stress, and significantly improve their chances of performing well in the 2026 CBSE Class 10 board exam.

Check |

• CBSE Class 10th Maths (Standard) Top 50 MCQ's
• CBSE Class 10th Maths (BASIC) Top 50 MCQ's

CBSE Class 10 Maths Formulas Chapter-Wise

Here is the chapter-wise list given, which you must read to get benefited. Read and revise to become a topper for Class 10 Maths.

Chapter 1 - Real Numbers

Important* How to Attempt CBSE Class 10 Maths Exam 2025: Expert Tips for Scoring Maximum Marks

Chapter 2 - Polynomials

1. (a+b)² = a²+2ab+b²
2. (a−b)²=a²−2ab+b²
3. (x+a)(x+b) = x²+(a+b)x+ab
4. a²−b² = (a+b)(a−b)
5. a³−b³ = (a−b)(a²+ab+b²)
6. a³+b³ = (a+b)(a²−ab+b²)
7. (a+b)³ = a³+3a²b+3ab²+b³
8. (a−b)³ = a³−3a²b+3ab²−b³

Chapter 3 - Pair of Linear Equations in Two Variables

• Linear equation in one variable: ax +b =0, a≠0 and a&b are real numbers
• Linear equation in two variables: ax+ by+ c =0 , a≠0 & b≠0 and a,b & c are real numbers
• Linear equation in three variables: ax+ by+ cz= 0, a≠0 , b≠0, c≠0 and a,b,c,d are real numbers
• a1x+b1y+c1=0
• a2x+b2y+c2=0

Where a1, b1, c1, a2, b2, c2 are all real numbers and a12+ b12 ≠ 0, a22+ b22 ≠ 0

Chapter 4 - Quadratic Equations

x = (α, β) = [-b ± √(b² – 4ac)]/2a provided b² – 4ac >= 0 

A quadratic equation ax² + bx + c = 0 has

(i) two distinct real roots, if b² – 4ac > 0,

(ii) two equal roots (i.e., coincident roots), if b² – 4ac = 0, and

(iii) no real roots, if b² – 4ac < 0

Chapter 5 - Arithmetic Progressions

The nth term of AP = nth term = a + (n-1) d

Sum of n terms in AP = Sn = n/2[2a + (n − 1) × d]

Sum of all terms in AP with the last term ‘l’ = n/2(a + l)

Chapter 6 - Triangles

Here,

A = Area of Triangle

B = Base of Triangle

H = Height of a Triangle

Area of Triangle = A = ½ (b × h) square units 

Area of an Isosceles Triangle = 1/4 b√(4a² – b²)

Area of a Right Triangle = A = 1/2 × Base × Height

Area of an Equilateral Triangle = A = (√3)/4 × side²

IMPORTANT | CBSE Class 10 Maths Blueprint 2025

Chapter 7 - Coordinate Geometry

• Distance Formula to find distance between two points P(x1,y1) and Q(x2,y2) is = √[(x2 – x1)2 + (y2 – y1)2 ]
• Distance of a point P(x, y) from the origin is = √x² + y²
• The coordinates of the point P(x, y) which divides the line segment joining the points A(x1 , y1 ) and B(x2 , y2 ) internally in the ratio m1 : m2 = Section Formula = ((m1x2 + m2x1)/m1+ m2 , (m1y2 + m2y1)/m1+ m2)
• The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2 ) = [(x1+x2/2), (y1+y2/2)

Chapter 8 - Introduction to Trigonometry

Trigonometry Table

Chapter 9 - Some Applications of Trigonometry

• sin(90°– θ) = cos θ
• cos(90°– θ) = sin θ
• tan(90°– θ) = cot θ
• cot(90°– θ) = tan θ
• sec(90°– θ) = cosecθ
• cosec(90°– θ) = secθ

Chapter 10 - Circles

When r = radius of the circle,

• Circumference of the circle = 2 π r
• Area of the circle = π r²
• Area of a sector of a circle with radius r and angle with degree measure θ = (θ/360) × π r²
• Length of an arc of a sector of a circle with radius r and angle with degree measure θ = (θ/360) × 2 π r

Chapter 11 - Areas Related to Circles

Area of segment of a circle = Area of the corresponding sector – Area of the corresponding triangle.

Chapter 12 - Surface Areas and Volumes

CUBOID

• Surface Area of a cuboid of length (l), breadth (b), and height (h) = 2 (lb + bh + lh)
• Lateral Surface Area of cuboid = 2 (l + b)h

CUBE

• Surface Area of a cube = 6 ✕ l² where l is the length
• Lateral Surface Area of cube = 4 ✕ l², where l is the length
• Volume of cube = l²

CYLINDER

• Total Surface Area of a Cylinder = 2πr (h+r)
• Lateral Surface Area of a Cylinder = 2πrh
• Volume of Cylinder = πr² h

CONE

• Lateral Surface Area of Cone = πrL
• Total surface area of cone = πr ( L+ r)
• Volume of Cone = ⅓ (πr2 h)
• Volume of a frustum of a cone = 1/3 πh(r₁2 + r₂2 + r₁r₂)

SPHERE

• Surface Area of Sphere= 4 πr²
• Volume of Sphere = 4/3 (πr³)

Chapter 13 - Statistics

The mean for grouped data can be found by: l + (n/2-cf/f) × h.

Chapter 14 - Probability

1. The theoretical (classical) probability of an event E, written as P(E), is defined as

P (E) = Number of outcomes favourable to E / Number of all possible outcomes of the experiment, where we assume that the outcomes of the experiment are equally likely

1. The probability of a sure event (or certain event) is 1
2. The probability of an impossible event is 0
3. The probability of an event E is a number P(E) such that 0≤ PE≤ 1

Now you have the most important part prepared, check other resources and study material from the link below: 

• CBSE Class 10 Maths Important Competency Based Questions 2025
• CBSE Class 10 Maths Chapter-Wise Weightage 2025
•  CBSE Class 10 Maths Deleted Syllabus 2024-25