Maths Formulas for Class 6th
Master essential mathematics with our curated list of Area, Algebra, and Root formulas for Class 6th students. Clear, concise, and easy to memorize.
Table of Contents
Important Area Formulas
Area of a Circle
Where r is the radius of the circle.
Area of a Triangle
Where b is base and h is height.
Equilateral Triangle
Where s is the length of any side.
Area of a Square
Where a is the length of the side.
Area of a Rectangle
Where L is length and B is breadth.
Area of Parallelogram
Where b is base and a is altitude.
Area of a Rhombus
Where b is base and a is altitude.
Area of a Trapezoid
Where b₁, b₂ are bases and h is height.
Algebra Formulas
- 1 a2 − b2 = (a + b)(a − b)
- 2 (a + b)2 = a2 + 2ab + b2
- 3 a2 + b2 = (a − b)2 + 2ab
- 4 (a − b)2 = a2 − 2ab + b2
- 5 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
- 6 (a − b − c)2 = a2 + b2 + c2 − 2ab − 2ac + 2bc
- 7 (a + b)3 = a3 + 3a2b + 3ab2 + b3
- 8 (a − b)3 = a3 − 3a2b + 3ab2 − b3
- 9 a3 − b3 = (a − b)(a2 + ab + b2)
- 10 a3 + b3 = (a + b)(a2 − ab + b2)
- 11 (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
- 12 (a − b)4 = a4 − 4a3b + 6a2b2 − 4ab3 + b4
- 13 a4 − b4 = (a − b)(a + b)(a2 + b2)
Roots & Fractions
Square Root
If x2 = y, then we say that the square root of y is x and we write √y = x.
Example: √4 = 2, √9 = 3, √36 = 6
Cube Root
The cube root of a given number x is the number whose cube is x. We denote the cube root of x by 3√x.
Fractions
Fraction is the name of a part of a whole. For example, in 1/8:
Numerator: Number of parts you have (1).
Denominator: Number of equal parts the whole is divided into (8).