# Maths Formula Book (PDF) For Class 6,7,8,9,10,11,12 & Competitive Exams

Maths Formula Booket Sheet pdf Download: Mathematics Important formulas for CBSE, ICSE, NCERT, SCERT classes from 6th to 12th and for all Competitive Exams like CAT, IAS, RRB, IBPS, JEE, GATE, NDA, RBI, SBI and other boards. These Books are separated as Level-1, Level-2, Level-3 and Class wise also. So you can Download your Required Mathematics formulae Book pdf for free of cost.

Without Knowing Formulae, Success in MAthematics exam is impossible. Maths Formulas are implemented in the textbook from Class 6 with basics and will gradually be inducted to higher classes to tougher and more complicated. Without knowing basic formulas, one can not proceed for Higher class Formulae. So Download the Complete Maths Formulae Book from the below mentioned Links.

 Name of the Books Maths Formula Books Cost / Price Free Download type pdf Updated on 30th November 2023 Usage Personal Only

## Important Maths Formula Booklet for 6th to 12th Classes

Maths formulas from Algebra, Trigonometry, integers, Engineering Formulas, Polynomials, derivatives and other Important Sections were divided here. Our main aim is to provide Important Formulas in Mathematics.

## Basic Algebra Formulas

### Square Formulas

• (a + b) 2 = a 2 + b 2 + 2ab
• (a − b) 2 = a 2 + b 2 − 2ab
• a 2 − b 2 = (a − b) (a + b)
• (x + a) (x + b) = x 2 + (a + b) x + ab
• (a + b + c) 2 = a 2 + b 2 + c 2  + 2ab + 2bc + 2ca
• (a + (−b) + (−c)) 2 = a 2 + (−b) 2  + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)
• (a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca

### Cube Formulas

• (a + b) 3 = a 3 + b 3 + 3ab(a + b)
• (a − b) 3 = a 3 – b 3 – 3ab(a – b)
• a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
• a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
• (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
• a 3 + b 3 + c − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
• If (a + b + c) = 0, a 3 + b 3 + c 3 = 3abc

### Special Case Formulas

a n − b n = (a − b) (a n−1 + a n−2  b 1  + a n−3  b 2 + …. + a b n−2  + b n−1  )

• √a = a 1/2
• ∛a = a 1/3
• n √a = a 1/n
• a p.  a q = a p + q
• a p / a q  = a p – q
• a p.  b p = (ab) p
• (a p ) q.  = a pq
• a 0 .  = 1
• a –n.  = 1/a n

Quadratic Formula: The roots of a quadratic equation ax2 + bx + c = 0 are given by x = [-b ± √(b2 – 4ac)]/2a.

### Irrational Numbers

Every competitive Exam will have a maths subject. Many think mathematics is a tough subject. But if you know the formulae, Maths is a Hobby subject. Nowadays, mathematical questions are not only asked in competitive exams but also in Interviews and Private Job Examinations/Written Tests. So Basic Maths Formulas are important for both academic and Career levels.