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: \(\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\) |
| Subtraction: \(\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}\) |
| Multiplication:\(\frac{a}{b}=\frac{c}{d}\), then ad = bc |
| Division : \(\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}\) |
| Set properties: |
| Commutative property: \(A\cup B=B\cup A \\ A\cap B=B\cap A\) |
| Associative property:\((A\cup B)\cup C=A\cup (B\cup C)\\ (A\cap B)\cap C=A\cap (B\cap C)\) |
| Algebraic Expression Expansion: |
| \((a+b)^{2}=a^{2}+2ab+b^{2}\) |
| \((a-b)^{2}=a^{2}-2ab+b^{2}\) |
| \(a^{2}-b^{2}=(a+b)(a-b)\) |
| \((x+a)(x+b)=x^{2}+x(a+b)+(ab)\) |
| Consumer Math Formulas: |
| Simple Interest, \(S.I=\frac{PTR}{100}\),
Where P=Principal, T= Time in years,R=Rate of interest per annum |
| \( Rate,R=\frac{100 \times S.I}{P \times T}\) |
| \(Principal,P=\frac{100 \times S.I}{R \times T}\) |
| \(Time,T=\frac{100 \times S.I}{R \times P}\) |
| Discount = MP-SP |
| Principal = Amount – Simple Interest |
| If Rate of Discount is given, \(Discount=\frac{Past\; Rate\; of\; Discount}{100}\) |
| Time and Speed: |
| \(Speed=\frac{Distance\; travelled}{Time\; taken}\) |
| \(Number\; of\; Revolution=\frac{Distance\; travelled}{Circumference\; of\; the\; wheel}\) |
| 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. |
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