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The 3 angles in a triangle add up to?
180 degrees

The 4 angles inside any 4 sided figure add up to?
360 degrees

Equilateral triangles
All sides are equal
All angles are 60 degrees

Isosceles triangles
2 sides are equal
2 angles are equal

Perimeter of a triangle
Add all the sides

Third side rule
The length of any one side of a triangle must be less than the sum of the other sides
And greater than the difference between the other 2 sides

Area of a triangle
A= 1/2bh

When 2 lines intersect and 4 angles are formed, the sum of these angles is?
306

How many degrees does a circle contain?
360 degrees

Vertical angles are?
Always equal

In parallel lines, the sum of any big angle and any small angle will always equal to?
180 degrees

Popular sides of right triangles

Perimeter of a rectangle
Sum of its 4 sides

Area of a rectangle and square
A= bh


Circumference of a circle
C= 2πr
C= πd

The point where the axes intersect is called?
Origin

Slope of a line equation
y= mx+b
 b= yintercept
 m= slope
 x and y are any point on the line


Equation to find the length of a diagonal inside a 3 dimensional rectangular box
a²+b²+c²=d²
a,b,c are the dimensions of the figure

Volume of three dimensional figure
V= A(of 2 dimensional figure) h (depth)

Volume of a circular cylinder
πr²h

Surface area of a rectangular box
Sum of the areas of all its sides

Integers
Counting numbers
0 is an integer
Fractions are not

Factors
Is a number that will divide evenly into the number in the question

Prime numbers
Is an integers that only has 2 factors:
Itself and 1
0 and 1 are not prime numbers
2 is the only even prime number
Prime numbers are only positive

PEMDAS
 Parenthesis
 Exponents
 Multiplication
 Division
 Addition
 Subtraction

Product
Result in multiplication

Quotient
Result of a division

Associative laws
When you are adding or multiplying a series of numbers, you can regroup them in any way you want

Multiplying with exponents
2¹ x 2²
You add them
2³

Multiplying with exponents and parenthesis
(2¹)²
You multiply them
2²

Dividing with exponents
2³/2²
Subtract them
2¹

When GRE asks you for the √ of something
It is asking you for the positive root only

If x²=16, then GRE is asking for
The positive and negative numbers
x=4, x=4








2 2/3
Multiply the denominator by the integer, then adding that number to the numerator
8/3














Symbol translation: Percent
/100


Symbol translation: of, times, product
x

Symbol translation: what (or any unknown value)
any variable (x, k, b)

Percent increase/decrease
Percent change= difference/original x 100

How are ratios expressed in the GRE?
x: y
the ratio of x to y
x is to y

What is a proportion?
An equivalent relationship between 2 fractions or ratios
1/2 and 4/8

Chart on how to solve average questions

When you see standard deviation or normal distribution questions

Chart on how to solve rate questions

