In our daily lives, mathematics is crucial. since we employ the mathematical formula in our day-to-day actions. Every pupil ought to comprehend the mathematical formulas and how they are used.
Maths Formulas
| Proportion Formula Rules: |
| Addition:ab+cd=ad+bcbd |
| Subtraction:ab−cd=ad−bcbd |
| Multiplication:ab=cd , then ad = bc |
| Division :abcd=adbc |
| Set properties: |
| Commutative property:A∪B=B∪AA∩B=B∩A |
| Associative property:(A∪B)∪C=A∪(B∪C)(A∩B)∩C=A∩(B∩C) |
| Algebraic Expression Expansion: |
| (a+b)2=a2+2ab+b2 |
| (a−b)2=a2−2ab+b2 |
| a2−b2=(a+b)(a−b) |
| (x+a)(x+b)=x2+x(a+b)+(ab) |
| Consumer Math Formulas: |
| Simple Interest:S.I=PTR100Where P=Principal, T= Time in years,R=Rate of interest per annum |
| Rate,R=100×S.IP×T |
| Principal,P=100×S.IR×T |
| Time,T=100×S.IR×P |
| Discount = MP-SP |
| Principal = Amount – Simple Interest |
| If Rate of Discount is given, Discount=PastRateofDiscount100 |
| Time and Speed: |
| Speed=DistancetravelledTimetaken |
| NumberofRevolution=DistancetravelledCircumferenceofthewheel |
| 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.unitsTotal surface Area of cuboid = 2(lb+bh+hl) Sq.units |
| Perimeter Formulas |
| Square = 4s units, where s is side of squareRectangle= 2(l+b) units, where l is length and b is breadth |
| Volume Formulas: |
| Volume of Cube = a3 cu.unitsVolume 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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