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 r2 Sq 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. |
Related Articles:
| Basic Mathematics Formula | Addition Formula |
| Basics of Algebra | Arithmetic Geometry |
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