Maths formula for CBSE class 10

, , , , , , ,

Maths formula for CBSE class 10

It is not uncommon for many students to be maths phobic. There is a preconceived notion passed on through generations that mathematics is tough to understand and mastering it belongs to a select lot of students. This misconceived notion leads many to low attention levels in math classes. On the contrary math if learnt the right way can be the best tool to scoring desired marks. Math is among the very few subjects where a right answer can get you the full score. Hence, maths formula for CBSE class 10, a meticulous compilation to benefit every CBSE class 10 student. With the above points in mind simply understand the basic concepts, become thorough with all the important formulae, apply formulae to suit the concept and you are in for big scores and success.

Here is a chapter-wise Marking scheme of math for class 10 that can help you prepare accordingly.

Chapter Topics Marks
Algebra Marks 26
Geometry Marks 12
Circles  Constructions Marks 22
Trigonometry Marks 10
Probability Marks 12
Coordinate Geometry Marks 08
Mensuration Marks 10
 Total Marks 100

IMPORTANT MATHS FORMULAE

Algebra:

  1. (a + b)2= a2 + 2ab + b2
  2. (a – b)2 = a2 – 2ab + b2
  3. (a + b) (a – b) = a2– b2
  4. (x + a)(x + b)  = x2+ (a + b)x + ab
  5. (x + a)(x – b)  = x2+ (a – b)x – ab
  6. (x – a)(x + b)  = x2+ (b – a)x – ab
  7. (x – a)(x – b)  = x2 – (a + b)x + ab
  8. (a + b)3 = a3 + b3 + 3ab(a + b)
  9. (a – b)3 =  a3 – b3 – 3ab(a – b)
  10. (x + y + z)2  = x2 + y2 + z2 + 2xy + 2yz + 2xz
  11. (x + y – z)2  =  x2 + y2 + z2 + 2xy – 2yz – 2xz
  12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  13. (x – y – z)2 = x2 + y2 + z2 – 2xy +  2yz – 2xz
  14. x3+ y3 + z3 – 3xyz  = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  15. x2 + y2 = 1212 [(x + y)2 + (x – y)2]
  16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2+ (ab + bc + ca)x + abc
  17. x3+ y3 = (x + y) (x2 – xy + y2)
  18. x3– y3  = (x – y) (x2 + xy + y2)
  19. x2 + y2 + z2 -xy – yz – zx = 1212 [(x-y)2 + (y-z)2 + (z-x)2]

 

Powers:

amxan  = am+n

aman=am−naman=am−n

(am)n  =  amn

(ambn)p =   ampb np

a-m = 1am1am

amn=am−−−√namn=amn

Rules of Zero:

a1  = a

a0 = 1

a*0 = 0

a is undefined

Linear Equation:

Linear equation in one variable ax + b = 0, x = – −ba−ba

Quadratic Equation:  ax2 + bx + c  = 0  x  = −b±b2−4ac√2a−b±b2−4ac2a

Discriminant D = b2 – 4ac

Math Formulas:

When rate of discount is given Discount =   MP∗Rate of Discount 100

Simple Interest = PTR100PTR100 where P = Principal, T = Time in years R = Rate of interest per annum

Principal = 100∗S.IR∗T100∗S.IR∗T

Rate = 100∗S.IP∗T100∗S.IP∗T

Time = 100∗S.IP∗R100∗S.IP∗R

Principal = Amount – Simple Interest

Discount = MP – SP

Trigonometry:

Probability

P(E) =   Number of outcomes favorable to E

Total Number of Possible Outcomes

Mensuration