Glossary of GRE MATH FORMULAS - II
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- 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)
- Counting principle: if two jobs need tobe completed and there are m ways to do the first job and n ways to the second job, then there are
- m * n ways to do one job followed by th eother