Maths Formulas For Class 7

Mathematics is so important in our life. Because we use the mathematical equation in our daily life activities. Every student should have a clear understanding of the Maths formulas and their applications.

Refer the class 7 maths formulas to solve complex problems. Some topics involved in class 7 Mathematics are as follows:

  • Number System
  • Integers
  • Fractions
  • Decimals
  • Mensuration
  • Algebra
  • Ratio and Proportion

Class 7 Maths Formulas

Proportion Formula Rules:
Addition:
\(\begin{array}{l}\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\end{array} \)
Subtraction:
\(\begin{array}{l}\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}\end{array} \)
Multiplication:
\(\begin{array}{l}\frac{a}{b}=\frac{c}{d}\end{array} \)
, then ad = bc
Division :
\(\begin{array}{l}\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}\end{array} \)
Set properties:
Commutative property:
\(\begin{array}{l}A\cup B=B\cup A \\ A\cap B=B\cap A\end{array} \)
Associative property:
\(\begin{array}{l}(A\cup B)\cup C=A\cup (B\cup C)\\ (A\cap B)\cap C=A\cap (B\cap C)\end{array} \)
Algebraic Expression Expansion:
\(\begin{array}{l}(a+b)^{2}=a^{2}+2ab+b^{2}\end{array} \)
\(\begin{array}{l}(a-b)^{2}=a^{2}-2ab+b^{2}\end{array} \)
\(\begin{array}{l}a^{2}-b^{2}=(a+b)(a-b)\end{array} \)
\(\begin{array}{l}(x+a)(x+b)=x^{2}+x(a+b)+(ab)\end{array} \)
Consumer Math Formulas:
Simple Interest,
\(\begin{array}{l}S.I=\frac{PTR}{100}\end{array} \)
,

Where P=Principal, T= Time in years,R=Rate of interest per annum

\(\begin{array}{l} Rate,R=\frac{100 \times S.I}{P \times T}\end{array} \)
\(\begin{array}{l}Principal,P=\frac{100 \times S.I}{R \times T}\end{array} \)
\(\begin{array}{l}Time,T=\frac{100 \times S.I}{R \times P}\end{array} \)
Discount = MP-SP
Principal = Amount – Simple Interest
If Rate of Discount is given,
\(\begin{array}{l}Discount=\frac{Past\; Rate\; of\; Discount}{100}\end{array} \)
Time and Speed:
\(\begin{array}{l}Speed=\frac{Distance\; travelled}{Time\; taken}\end{array} \)
\(\begin{array}{l}Number\; of\; Revolution=\frac{Distance\; travelled}{Circumference\; of\; the\; wheel}\end{array} \)
Area Formulas for 2D and 3D Figures:
Area of Circle = π rSq units, where r is the radius

Area of Rectangle = l x b Sq.units, where l = length and b is breadth

Total Surface Area for Cube = 6a2 sq.units

Total surface Area of cuboid = 2(lb+bh+hl) Sq.units

Perimeter Formulas
Square = 4s units, where s is side of square

Rectangle= 2(l+b) units, where l is length and b is breadth

Volume Formulas:
Volume of Cube = a3 cu.units

Volume of Sphere=4/3 π r3 cu.units, where r is the radius of the sphere.

Volume of Cylinder= π r2h cu.units, where r is the radius of the base, h is the height of the cylinder.

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3 Comments

  1. Maths formula

  2. I am student of Kendra vidalaya

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