Most of us gradually start disliking Math formulas and equations at some point as they seem difficult to grasp. But if you understand the logic behind them instead of mugging it, you will realize they help you solve complex problems easily and quickly!
Our team of Math experts have created a list of Class 7 Maths formulas for you withlogical explanations as well as the method of how and where to use them. By using this list of important formulas in your exam preparations, you can easily understand their logic, solve complex problems faster and score higher marks in your school exams!
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1. Integers Formulas
Addition is commutative
a+b=b+a
Addition is associative
(a+b)+c=a+(b+c)
Product of even number of negative integers is positive
−2×−2×−2×−2=16
Product of odd number of negative integers is negative
−2×−2×−2=−8
Division of positive integer by a negative integer gives negative quotient
6−3=−2
Division of a negative integer by another negative integer gives positive quotient
(H)2=(AS)2+(OS)2 H= Hypotenuse AS= Adjacent Side OS= Opposite Side
Equilateral triangles
All sides are equal
Isosceles triangle
Two sides are equal
4. Congruence of Triangles Formulas
Congruent Triangles
Their corresponding parts are equal
SSS Congruence of two triangles
Three corresponding sides are equal
SAS Congruence of two triangles
Two corresponding sides and an angle are equal
ASA Congruence of two triangles
Two corresponding angles and a side are equal
5. Comparing Quantities Formulas
Fraction can be written as Ratio
200150 can be written as 200:150
6. Perimeter and Area
Perimeter of a Square
4×Side
Perimeter of a Rectangle
2×(Length+Breadth)
Area of a Square
Side×Side
Area of a Rectangle
Length×Breadth
Area of a Parallelogram
Base×Height
Area of a Triangle
12×Base×Height
Area of a Circle
πr2
r=Radius of the circle
Important Maths Formulas | Area Formulas
Area of a Circle Formula = π r2 where r – radius of a circle
Area of a Triangle Formula A= where b – base of a triangle. h – height of a triangle.
Area of Equilateral Triangle Formula = where s is the length of any side of the triangle.
Area of Isosceles Triangle Formula = where: a be the measure of the equal sides of an isosceles triangle. b be the base of the isosceles triangle. h be the altitude of the isosceles triangle.
Area of a Square Formula = a2
Area of a Rectangle Formula = L. B where L is the length. B is the Breadth.
Area of a Pentagon Formula = Where, s is the side of the pentagon. a is the apothem length.
Area of a Hexagon Formula = where where “x” denotes the sides of the hexagon. Area of a Hexagon Formula = Where “t” is the length of each side of the hexagon and “d” is the height of the hexagon when it is made to lie on one of the bases of it.
Area of an Octagon Formula = Consider a regular octagon with each side “a” units.
Area of Regular Polygon Formula: By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula: where s is the length of any side n is the number of sides tan is the tangent function calculated in degrees
Area of a Parallelogram Formula = b . a where b is the length of any base a is the corresponding altitude
Area of Parallelogram: The number of square units it takes to completely fill a parallelogram. Formula: Base × Altitude
Area of a Rhombus Formula = b . a where b is the length of the base a is the altitude (height).
Area of a Trapezoid Formula = The number of square units it takes to completely fill a trapezoid. Formula: Average width × Altitude The area of a trapezoid is given by the formula where b1, b2 are the lengths of each base h is the altitude (height)
Area of a Sector Formula (or) Area of a Sector of a Circle Formula = where: C is the central angle in degrees r is the radius of the circle of which the sector is part. π is Pi, approximately 3.142 Sector Area – The number of square units it takes to exactly fill a sector of a circle.
Area of a Segment of a Circle Formula Area of a Segment in Radians Area of a Segment in Degrees Area of a Segment of a Circle Formula
Area under the Curve Formula: The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.
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