Class 10 Maths Formulas PDF
The Maths formulas for class 10 are the general formulas which are not only
crucial for class 10 but also form the base for higher-level maths concepts. The
maths formulas are also important in various higher education fields like
engineering, medical, commerce, finance, computer science, hardware etc. Even
in almost every industry, the most common formulas introduced in class 10 are
used.
The class 10 maths formulas include formulas related to real numbers,
polynomials, quadratic equations, triangles, circles, statistics, probability,
(https://byjus.com/maths/probability/) etc. These maths formulas
(https://byjus.com/math-formulas/) will be extremely helpful for students to be able
to solve questions more accurately and quickly.
List of Maths Formulas for Class 10
The basic maths class 10 formulas are almost the same for all the boards. The list
of maths formulas are:
Pair of Linear Equation in Two Variables Formulas
Algebra and Quadratic Equation Formulas
Arithmetic Progression Formulas
Trigonometry Formulas
Circle Formulas
Surface Area and Volume Formulas
Statistics Formulas
Download Class 10 Maths Formulas PDF Here:
Linear Equations
One Variable ax+b=0 a≠0 and a&b are real numbers
Two variable ax+by+c = 0 a≠0 & b≠0 and a,b & c are real numbers
Three Variable ax+by+cz+d=0 a≠0 , b≠0, c≠0 and a,b,c,d are real numbers
Pair of Linear Equations in two variables:
a1x+b1+c1=0
a2x+b2+c2=0
, Maths Formulas For Class 10 PDF
Where
a1, b1, c1, a2, b2, and c2 are all real numbers and
a12+b12 ≠ 0 & a22 + b22 ≠ 0
It should be noted that linear equations in two variables
(https://byjus.com/maths/linear-equations-in-two-variables/) can also be
represented in graphical form.
Algebra or Elgebraic Equations
The standard form of Quadratic Equations:
ax2+bx+c=0 where a ≠ 0
And x = [-b ± √(b2 – 4ac)]/2ac
Algebraic formulas:
(a+b)2 = a2 + b2 + 2ab
(a-b)2 = a2 + b2 – 2ab
(a+b) (a-b) = a2 – b2
(x + a)(x + b) = x2 + (a + b)x + ab
(x + a)(x – b) = x2 + (a – b)x – ab
(x – a)(x + b) = x2 + (b – a)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 + 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 [(x-y)2 + (y-z)2 + (z-x)2]
Click here to check all algebra formulas (https://byjus.com/algebra-formulas/)
Basic formulas for powers
2/7
The Maths formulas for class 10 are the general formulas which are not only
crucial for class 10 but also form the base for higher-level maths concepts. The
maths formulas are also important in various higher education fields like
engineering, medical, commerce, finance, computer science, hardware etc. Even
in almost every industry, the most common formulas introduced in class 10 are
used.
The class 10 maths formulas include formulas related to real numbers,
polynomials, quadratic equations, triangles, circles, statistics, probability,
(https://byjus.com/maths/probability/) etc. These maths formulas
(https://byjus.com/math-formulas/) will be extremely helpful for students to be able
to solve questions more accurately and quickly.
List of Maths Formulas for Class 10
The basic maths class 10 formulas are almost the same for all the boards. The list
of maths formulas are:
Pair of Linear Equation in Two Variables Formulas
Algebra and Quadratic Equation Formulas
Arithmetic Progression Formulas
Trigonometry Formulas
Circle Formulas
Surface Area and Volume Formulas
Statistics Formulas
Download Class 10 Maths Formulas PDF Here:
Linear Equations
One Variable ax+b=0 a≠0 and a&b are real numbers
Two variable ax+by+c = 0 a≠0 & b≠0 and a,b & c are real numbers
Three Variable ax+by+cz+d=0 a≠0 , b≠0, c≠0 and a,b,c,d are real numbers
Pair of Linear Equations in two variables:
a1x+b1+c1=0
a2x+b2+c2=0
, Maths Formulas For Class 10 PDF
Where
a1, b1, c1, a2, b2, and c2 are all real numbers and
a12+b12 ≠ 0 & a22 + b22 ≠ 0
It should be noted that linear equations in two variables
(https://byjus.com/maths/linear-equations-in-two-variables/) can also be
represented in graphical form.
Algebra or Elgebraic Equations
The standard form of Quadratic Equations:
ax2+bx+c=0 where a ≠ 0
And x = [-b ± √(b2 – 4ac)]/2ac
Algebraic formulas:
(a+b)2 = a2 + b2 + 2ab
(a-b)2 = a2 + b2 – 2ab
(a+b) (a-b) = a2 – b2
(x + a)(x + b) = x2 + (a + b)x + ab
(x + a)(x – b) = x2 + (a – b)x – ab
(x – a)(x + b) = x2 + (b – a)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 + 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 [(x-y)2 + (y-z)2 + (z-x)2]
Click here to check all algebra formulas (https://byjus.com/algebra-formulas/)
Basic formulas for powers
2/7
