50 Maths Formulas
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 
