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Useful Math Stuff for GRE
A hodgepodge of math stuff that may be useful for GRE. It includes important equations, general rules, and actual math problems from GRE practice tests. (Doesn't work well for the Quiz Me mode btw)
16
Mathematics
Undergraduate 4
11/26/2012

Additional Mathematics Flashcards

 


 

Cards

Term
The equation for the sum of the interior angles for angy polygon (shape with equal sides)
Definition
(n-2) x 180
Term
The equation for the area of a triangle when you know b and h
Definition

A= ½ (b)(h)

Term
The equation for the area of a triangle when you know all three sides (would only be useful in situations where you can't tell which is the base and which is the height)
Definition

[image]

p=half of the perimeter

Term
Equation used to find the length of the diagonal of a sqaure
Definition

s√2

(s=side)

Term
Eqaution of the area of a circle
Definition

A= Π (r)^2

Term
Equation for the circumference of a circle
Definition
C=Πd
Term
Equation to find the volume of a right circle cylinder
Definition

 

V= Πhr^2

Term
External angles are (equal to, less than, or greater than) the two opposite interior angels
Definition
equal to
Term

 

Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve? 

Definition

 

 

52


How to solve:

125 - 74 = 51 

51 + 1 =52


Term
When multiplying exponents with the same base, what do you do to the exponents in order to solve the problem?
Definition
Add the exponents
Term
The profit from a business is to be divied in the ratio 4 to 5 between X and Y respectively. How much money would X recieve if the total profits are $153?
Definition

$68

 

How to solve:

 

 

To divide into the ratio 4 : 5 , first add the parts of the ratio (4 + 5 =9)
 Now divide the money by 9 to get one part of the ratio (153/9 = 17)
 To find X’s share multiply by 4 (17 x 4 = 68)

Term
When you have the diagonal of a square, how do you figure out the length of the side?
Definition

(d/√2)^2

or just (d^2)/2

 

d=diagonal

Term
If k is a positive integer, what is the smallest value for k to make 60k a perfect square?
Definition
Correct Answer: 15

Explanation:
To find a perfect square we need the prime factors.
60 = 2 x 2 x 3 x 5
To turn it into a perfect square we need to multiply by 3 x 5 = 15
(So that the prime factors are in groups of two = 2 x 2 x 3 x 3 x 5 x 5)
Term

Column A: 452 + 252
Column B: (45 + 25) 2


Which is greater?

Column A? Column B? Are they the same? Can it not be determined?

Definition
Column B is greater
Term

Column A: 45 (35 + 65)
Column B: 45 * 35 + 45 * 65



Which is greater?

Column A? Column B? Are they the same? Can it not be determined?

Definition
Both Column A and Column B are the same
Term
The fraction x/y is altered by decreasing x by 25 per cent and increasing y by 25 percent. The new fraction is what percent less than the original?
Definition
Correct Answer: 40

Explanation:
Decreasing x by 25 per cent gives 0.75x
Increasing y by 25 percent gives 1.25y
The new fraction is 0.75x/1.25y = 0.6x/y
This is 0.4 less (= 40 percent)
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