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GRE: Math

GRE Math Flashcards - Most Studied - #7,9,10,12 I deleted ones that didn't make sense
Kalvin
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  • Perfect Squares 1-15
    1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
  • How to recognize if a # is a multiple of 12
    The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3, and 44 is a multiple of 4, so 144 is a multiple of 12.)
  • Area of a rectangle
    A = length x width
  • How to recognize a # as a multiple of 9
    The sum of the digits is a multiple of 9.
  • Slope given 2 points
    m= (Y1-Y2)/(X1-X2)
  • Circumference of a Circle
    c=2 x pi x r OR pi x D
  • Area of a circle
    A=pi*(r^2)
  • Perimeter of a rectangle
    P= 2L + 2w
  • How to recognize a multiple of 6
    Sum of digits is a multiple of 3 and the last digit is even.
  • Volume of a rectangular box
    V=Lwh
  • How to recognize a # as a multiple of 4
    The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4, so 144 must also be a multiple of 4.)
  • How to recognize a # as a multiple of 3
    The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
  • Area of a triangle
    A= (1/2) b*h
  • When dividing exponential #s with the same base, you do this to the exponents...
    Subtract them. i.e (5^7)/(5^3)= 5^4
  • When multiplying exponential #s with the same base, you do this to the exponents
    Add them. i.e. (5^7) * (5^3) = 5^10
  • First 10 prime #s
    2, 3, 5, 7, 11, 13, 17, 19, 23, 29 A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself
  • Find distance when given time and rate
    d=rt so r= d/t and t=d/r
  • binomial product of (x+y)(x-y)
    x²-y²
  • factored binomial product of (x+y)²
    x²+2xy+y²
  • factored binomial product of (x-y)²
    x²-2xy+y²
  • binomial product of (x+y)²
    (x+y)(x+y)
  • binomial product of (x-y)²
    (x+y)(x-y)
  • the measure of a straight angle
    180°
  • the slope of a line in y=mx+b
    m
  • Pythagorean theorem
    a²+b²=c²
  • If a is inversely porportional to b, what does it equal?
    ab=k (k is a constant)
  • #1 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
    The longest side is opposite the largest (biggest) angle.
  • #3 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
    Sides with the same lengths are opposite angles with the same measure.
  • If y is directly proportional to x, what does it equal?
    y/x is a constant
  • What is a percent?
    A percent is a fraction whose denominator is 100.
  • #1 What is an important property of a 30-60-90 triangle?
    The triangle is a right triangle.
  • #2 What is an important property of a 30-60-90 triangle?
    The hypotenuse is twice the length of the shorter leg.
  • #3 What is an important property of a 30-60-90 triangle?
    • The ratio of the length of the three sides is x:x√3:2x
  • The negative exponent x⁻ⁿ is equivalent to what?
    1/xⁿ i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
  • formula for area of a triangle
    A=½bh
  • formula for volume of a rectangular solid
    V=l×w×h
  • formula for the volume of a cube
    V=side³
  • #1 What are the important properties of a 45-45-90 triangle?
    • The triangle is a right triangle.
  • #2 What are the important properties of a 45-45-90 triangle?
    • The triangle is isosceles (AC=BC).
  • #3 What are the important properties of a 45-45-90 triangle?
    • The ratio of the lengths of the three sides is x:x:x√2.
  • formula for distance problems
    distance=rate×time or d=rt
  • The sum of the angles in a quadrilateral is
    360°
  • The sum of the measures of the n angles in a polygon with n sides
    (n-2) x 180
  • In any polygon, all external angles equal up to
    360°
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