Mathematical Formulae & Definitions

Mathematic Formulae & Definitions

1. Percent proportion:- part/whole =percent/100
2. Percent Equation:- part=percent * whole
3. Celsius to Fahrenheit:- F=(9*C)/5 +32
4. Fahrenheit to Celsius:- C=5(F-32)/9
5. Perimeter of a Rectangle:- P=2(length+width)
6. Perimeter :- Perimeter is the distance around the outside edges of a flat shape.It is measured in linear units.Such as ft, yd, cm, m, km, and so on.
7. Area of a Rectangle:- A=length * width
8. Rectangle :- A Rectangle is a four sided figure with all sides meeting at 90° angles.The opposite sides are the same length.
9. Area :- Area is the surface inside a two dimensional shape.It is measured by determining the number of squares of a certain size needed to cover the surface inside the shape. e.g. sq.inch (in^2), sq.meters (m^2)
10. Perimeter of a Square:- P=4*Sides
11. Area of a Square:- A=(Side)^2
12. Square :- A Square is like a Rectangle but having all four sides the same length.
13. Area of a Parallelogram:- A=breadth * height
14. Parallelogram :- A Parallelogram is a four sided figure with both pairs of opposite sides parallel.
15. Area of a Trapezoid:- A=1/2 * height * (b+B)
16. Trapezoid :- A Trapezoid is a four sided figure with one pair of parallel sides.
17. Area of a Triangle:- A= 1/2 *breadth * height
18. Triangle :- A Triangle is a figure with exactly three sides.
19. Diameter of a Circle:- D=2 * radius
20. Diameter :- Diameter is the distance across a circle passing through the center.
21. Circle :- A Circle is a figure with all points the same distance from a fixed center point.
22. Radius of a Circle:- Radius= Diameter/2
23. Radius :- Radius is the distance from the center of a circle to any point on the circle.
24. Circumference of a Circle:- C=  π * Diameter or C= 2π* Radius
25. Circumference :- Circumference is the distance around a circle.
26. Area of a Circle:- A= πr^2
27. π (pi) :- π is the ratio of the Circumference to the diameter of any circle.It is approximately equal to 3.14.
28. Area of a Semi Circle:- A=( π*Radius^2)/2
29. Volume of Rectangular Solid:- V=len*wid*hgt
30. Volume of a Sphere:- V= 4/3 * π * r^3
31. Volume of a Hemisphere:- V= 2/3 * π * r^3
32. Volume of a Cylinder:- V= π*r^2*h
33. Volume of a Cone:- V=1/3 * B * h
34. Volume of a Pyramid:- V= 1/3 * B * h
35. Volume :- Volume is a measure of the space inside a three dimensional shape.Volume is measured in cubic units such as in^3 , cm^3 and so on.
36. Right Triangle:- Hypotenuse= √ (leg)^2. + (leg)^2  or leg= √( Hypotenuse)^2-(leg)^2
37. Mean or Average:- Mean= Sum of all Values/ Number of values
38. Whole Numbers= 0,1,2,3,4,5,6,7,8,9 and so on.
39. Place Value= It is the position of a digit in a whole Number.
40. Perimeter= The perimeter is the distance around the outside edges of a figure.
41. Sum= The answer in an addition problem.
42. Difference= The answer in a subtraction problem.
43. Product= The answer in a multiplication problem.
44. Quotient= The answer in a division problem.
45. Table= A table is a display of facts in rows and columns.
46. Addition= The process of finding the total.
47. Addends= The numbers being added in an addition.
48. Carrying= When the sum of the digits in a column is greater than 9.
49. Minuend= The number from which another number (the subtrahend) is being subtracted is the minuend.
50. Subtrahend= It is the number being subtracted in a subtraction.
51. Borrowing=The method of borrowing is used in subtraction if a digit is less than the one directly below.
52. Factors= The numbers being multiplied are called factors.e.g. in 3x4=12, both 3 and 4 are factors.
53. Dividend= The number being divided by another number in a division.
54. Divisor= The divisor is the number doing the dividing in a division.
55. Multiple= The product of two whole number factors is a multiple of those numbers.
56. Remainder= The remainder is the number left over when two numbers do not divide exactly.
57. Numerator= The number above the fraction bar in a fraction is called the numerator.It shows how many of the equivalent parts are being considered.
58. Denominator= The Number below the fraction bar in a fraction is called the denominator.It shows the number of equal parts in a whole.
59. Proper Fraction: in a proper fraction the numerator is smaller than the denominator.The fraction is less than 1.
60. Improper Fraction: In an improper fraction the numerator is greater than or equal to the denominator .The fraction is equal to or greater than 1.
61. Mixed Number: A mixed Number includes a fraction and a whole Number written together.
62. Factors: Numbers that are multiplied to give a product are factors.
63. Composite Number: A composite has at least one factor other than itself and 1.
64. Prime Number: A prime Number is a whole number other than 0 and 1 that has exactly two factors, itself and 1.
65. Factorizations: The numbers that can be multiplied to give a specific number (product) are factorizations of that number.
66. prime factorization: In a prime factorization every factor is a prime number.
67. Square Root :- A Square Root is one of two equal factors of a number.
68. Two Dimensional Shapes :- Flat Shapes e.g. Square, Rectangle, Circle etc
69. Three Dimensional Shapes :- Solid Shapes e.g. Cube, Cuboid, Cone, Cylinder ec
70. Hypotenuse :- The Hypotenuse is the side of a Right Triangle opposite to the 90° angle.It is the longest Side of a Triangle.
71. Similar Triangles :- Similar Triangles are triangles with the same shape but not necessarily the same size.
72. New Balance = previous balance + amount deposited - amount withdrawn  (N = P +D - W)
73. SIMPLE INTEREST (S.I.) = PRT/100   Where P= invest , R= Rate , T= Time
74. Compound Interest (C.I.) = P (1 + R/100)^T - P
75. Rules:-