50 Maths Formulas
50 Maths Formulas PDFs for all the concepts covered under different classes (6, 7, 8, 9, 10, 11, and 12), as per the CBSE syllabus are provided here by our expert teachers. To solve mathematical problems easily, students should learn and remember the basic formulas based on certain fundamentals such as algebra, arithmetic, and geometry.
The basic Math formulas include arithmetic operations, where we learn to add, subtract, multiply and divide. Also, algebraic identities help to solve equations. The important formulas are related to algebra, Pythagoras theorem, series and sequence, mensuration, calculus, probability and statistics, trigonometry, matrices, etc.
50 Maths Formulas for Classes 6 to 12th
Math formulas for Class 6
 ‘Undefined’ refers to anything divided by zero
 If the total of the digits is a multiple of three, the number is divisible by three.
 A number is divisible by two if it contains the digits 0, 2, 4, 6, or 8.
 A variable represents a condition in an equation. An equation has two sides, known as the LeftHand Side and the RightHand Side, which are separated by an equal (=) sign.
 A polygon is a simple closed figure created by line segments. A triangle is a polygon with three sides. Quadrilaterals are polygons with four sides.
 The perimeter of a Square = 4 × Length of its side
 Perimeter of a Rectangle = 2 × (Length + Breadth)
 The perimeter of an Equilateral triangle = 3 × Length of a side
 Area of a Rectangle = length × breadth
Maths formulas for Class 7
 Profit Percentage = (Profit / Cost price) × 100
 Loss Percentage = (Loss/ Cost price) × 100
 Simple Interest = (Principal × Rate × Time) / 100
 Amount = Principal + Interest
 Percentage Change= (Change / Original Amount) × 100
 Product of rational numbers = (Product of Numerators) / (Product of Denominators)
 First Rational Number × (Reciprocal of other Rational Number)
 Law of Product: am × an = am+n
 Law of Quotient: am/an = amn
 Law of Zero Exponent: a0 = 1
 Law of Negative Exponent: am = 1/am
 Law of Power of a Quotient: (a/b)m = am/bm
 Law of Power of a Power: (am)n = amn
 Law of Power of a Product: (ab)m = ambm
 Perimeter of a Rectangle = 2 × (Length + Breadth)
 Area of Rectangle = Length × Breadth
 Area of a Square = Side2
 Area of Triangle = 1/ 2 × Base × Height
 The perimeter of a Square = 4 × Side
 Area of a Parallelogram = Base × Height
 Area of a circle = πr2
 Circumference of a circle = π d, where ‘d’ is the diameter of a circle and π = 22/7 or 3.14
Math Formulas for Class 8
 Additive inverse of rational number: a/b = b/a
 Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
 Distributives a(b – c) = ab – ac
 Simple Interest = (Principal × Rate × Time) / 100
 Amount = Principal + Interest
 Compound Interest formula = Amount – Principal, Amount in case the interest is calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ is the period.
 Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
Maths Formulas for Class 9
Topics  Math Formulas 

Real Numbers 

Geometry Formulas  
Rectangle 

Triangle 

Circle 

Parallelogram 

Trapezoid 

Cuboid 

Cylinder 

Cube 

Sphere 

Cone 

Heron’s Formula 
Here, s = semiperimeter, and A,b, and c are the sides of a triangle.

Polynomial Formula  P (x) = anxn + an 1xn 1 – an 2xn 1 + …… ax + a0 
Algebra Identities 

Statistics 
((n+1)/2)th observations = odd observations ((n/2)th + ((n/2)+1)th)/2 observations for even observations

10th Class Maths Formulas List
Topics  Math Formulas 

Arithmetic Formulas 

Trigonometry Formulas 

Area and Volume Formulas 

Circle Formula 

11th Maths Formulas
 (a+b)2 = a2 + b2 + 2ab
 (ab)2 = a2 + b2 – 2ab
 (a+b) (ab) = a2 – b2
 (x + a)(x + b) = x2 + (a + b)x + ab
 (x + a)(x – b) = x2 + (a – b)x – ab
 (a + b)3 = a3 + b3 + 3ab(a + b)
 (a – b)3 = a3 – b3 – 3ab(a – b)
 (x – a)(x + b) = x2 + (b – a)x – ab
 (x – a)(x – b) = x2 – (a + b)x + ab
 (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
 (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
 (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
 (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
 x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz xz)
 x2 + y2 =½ [(x + y)2 + (x – y)2]
 (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
 x3 + y3= (x + y) (x2 – xy + y2)
 x3 – y3 = (x – y) (x2 + xy + y2)
 x2 + y2 + z2 xy – yz – zx = ½ [(xy)2 + (yz)2 + (zx)2]
 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
 sin^{2}θ + cos^{2} θ = 1
 sec^{2 }θ = 1 + tan^{2}θ for 0° ≤ θ < 90°
 Cosec^{2 }θ = 1 + cot^{2} θ for 0° ≤ θ ≤ 90°
Math formulas For Class 12th
Topics  Math formulas 

Trigonometry Formulas 

Calculus Formulas 

Vector Formulas 

Geometry Formulas 

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