|
Factor or Divisor =
|
Any integer that leaves no remainder (i.e a reaminder of 0) when it is dvided into another integer:1, 2, 5, 10 are the factors (or divisors) of 10
|
|
|
Prime Number
|
A positive integer that has exactly two divisors. The first few primes are 2, 3, 5, 7, 11, 13, 17 (not 1)
|
|
|
bm bn
b raise to m, b raise to n =
|
bm
-- = (m -n)
bn b
|
|
|
m n
(b )
=
|
mn
b
|
|
|
2
(squ a) =
|
sq a * sq a
|
|
|
To compare two fractions
|
convert them to decimals by dividing the numerator by the denominator
|
|
|
To multiply two fractions,
|
Multiply their numberator and multiply their denominators
3/5 * 4/7 = 3*4/5*7 = 12/35
|
|
|
To divide any number by a fraction
|
Multiply that number by the reciprocal of the fraction
3/5 divided by 2/3 = 3/5* 3/2 = 9/10
|
|
|
To add or subtract fraction with different denominators, f
|
first rewrite the fraction as equivalent fractions with the same denominator:
1/6+3/4 = 2/12 + 9/12 = 11/12
|
|
|
Percent increase of qty =
|
Actual increase
------------ * 100%
Original amount
|
|
|
Percent decrease of qty =
|
Atcual decrease
---------- * 100%
Original amount
|
|
|
Ratio of 2 to 3 =
|
2/3 or 2:3
|
|
|
Average of set of n numbers
=
|
Sum of the numbers
------------------
n
|
|
|
Probability =
|
Favorable Outcomes
-------------
Total Possible Outcomes
|
|
|
Percent Formula
Part =
|
Percent * Whole
|
|
|
The 3 exterior angles of a triangle add up to
|
360 degrees
|
|
|
In any triangle, the sume of the measure os the three angles is
|
180 degrees
x+y+z = 180
|
|
|
In any triangle
1) The longest side
|
= is the opposite the largest angle
|
|
|
2) the shortest side
|
= is the opposite the smallest angle
|
|
|
3)Sides with the same length
|
= Are opposite angles with the same measure
|
|
|
In a 45-45-90 right triangle, the sides are =
|
X, X, and X square 2
|
|
|
In a 30-60-90 right triangles, the sides are =
|
X, X Square 3 and 2X
|
|
|
Area of Right trinagle =
|
1/2 * base * height
|
|
|
Area of an equilateral triangle with equal sides =
|
2
S * Square 3
---------
4
|
|
|
In any quadrilateral, the sume of the measures of the four angles
|
= 360 degrees
|
|
|
For Parallelogram
Area =
|
Base * Height
|
|
|
Perimeter of Pallelogram =
|
2(a + b)
|
|
|
Area of Rectangele =
|
Length * Width
|
|
|
Perimeter of Rectangel =
|
2(L + W)
|
|
|
Area of a Square =
|
2
S
|
|
|
Area of a square can also be =
|
1 2
- d
2
|
|
|
Perimeter of a square =
|
4s (s = sides)
|
|
|
Diameter of a circle =
|
2* radiuis
|
|
|
Circumference of a Cirle =
|
PI * D = 2 PI R
|
|
|
Area of a circle =
|
2
PI r
|
|
|
Length of an Arc
|
(n/360) * (2PI r)
|
|
|
Area of a sector, if n is the degree measure of the sector's central angle =
|
2)
(n/360) * (PI r
PI * R square
|
|
|
Surface Area of Rectangular =
|
2(LW +LH + WH)= 2LW +LH +2 WH
|
|
|
Suface Area of cube =
|
6e square
6 * e square
|
|
|
Volume of a cylider =
|
PI * R square * height
|
|
|
Surface of a cylinder =
|
2PI r h
|
|
|
Volume of a Rectangular solid =
|
L * W * H
|
|
|
Volume of a cube =
|
3
L * L * L = L
|
|
|
Average speed =
|
Total Distance
----------
Total time
|
|
|
Average A per B =
|
Total A
-----
Total B
|
|
|
Probability formula
Probability =
|
Number of Favorable Outcome/
Total no. of Possible Outcomes
|
|
|
If E is impossible, then P(E) =
|
0
|
|
|
If it is certain that E will occur, then P(E)=
|
1
|
|
|
In all other cases
|
0 <P(E)<1
|
|
|
The probability that the even E will not occur =
|
1- P(E)
|
|
