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GRE Math > Deck 1 > Flashcards

Deck 1 Flashcards

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1
Q

Prime numbers below 60

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59

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2
Q

An isosceles right triangle (45-45-90)

A

has sides in a ratio of x : x : x√2

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3
Q

A 30-60-90 triangle

A

has sides in a ratio of x : x√3 : 2x

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4
Q

To count # of factors of positive N integer

A
  1. Find prime factorization of # 2. Make list of exponents of the prime numbers 3. Add 1 to every # on the list 4. Multiply all those #s together
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5
Q

To find GCF

A
  1. Find prime factorization of both #s 2. What are the highest powers they have in common? 3. Multiply the highest powers to get GCF
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6
Q

To find LCM

A
  1. Take the prime factorization of each #, 2. Find what prime factors appear in both, 3. Multiply one of each of the shared primes and then by all the unshared primes
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7
Q

Divisible by 3

A

sum of digits divisible by 3

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8
Q

Divisible by 4

A

the last 2 digits of number are divisible by 4

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9
Q

Divisible by 5

A

the last digit is either a 5 or 0

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10
Q

Divisible by 6

A

even number and sum of digits is divisible by 3

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11
Q

Divisible by 8

A

if the last 3 digits are divisible by 8

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12
Q

Divisible by 9

A

sum of digits is divisible by 9

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13
Q

Percent change

A

(change/original value) * 100

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14
Q
A
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15
Q
A
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16
Q
A
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17
Q

1 raised to any power is

A

1

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18
Q

0 raised to any nonzero power is

A

0

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19
Q

Any nonzero number to the power of 0 is

A

1

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20
Q
A
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21
Q
A
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22
Q
A
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23
Q
A
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24
Q
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25
Q
A
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26
Q

Factoring using quadratic polynomials

A

(x+m)(x+n) where a is the sum of m and n and b is their product

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27
Q
A
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28
Q

If 2 lines intersect, the sum of the resulting 4 angles equals

A

360

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29
Q

Total degrees of a polygon (a figure with 3 or more sides) =

A

180 (n-2), where n = # of sides

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30
Q

Area of a triangle

A

1/2 b x h

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31
Q

Pythagorean triplets

A
  • 3-4-5
  • 5-12-13
  • 8-15-17
  • 7-24-25
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32
Q

Area of a circle

A
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33
Q

Circumference of a circle

A
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34
Q

How many degrees in a circle

A

360

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35
Q

Arc Length

A
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36
Q

Arc

A

portion of the circumference of a circle in x degrees of the circle

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37
Q

Area of a sector

A
38
Q

chord

A

line segment between two points on a circle

39
Q

if 2 inscribed angles of a circle hold the same chord…

A

the two inscribed angles are equal

40
Q

an inscribed angle holding the diameter is…

A

a right angle

41
Q

inscribed angles holding chords/arcs of equal length…

A

are equal

42
Q

Area of a square

A

side^2

43
Q

Area of a rectangle

A

length x width

44
Q

Area of a trapezoid

A
45
Q

Area of a parallelogram

A

base x height, where the base forms a right angle with the height

46
Q

Volume of cube

A

side^3

47
Q

Surface area of cube

A

6s^2

48
Q

Volume of rectangular solids (including cubes)

A

height x depth x width

49
Q

Surface area of rectangular solids (including cubes)

A

total of the areas of each rectangle

50
Q

Volume of a cylinder

A
51
Q

Surface Area of a Cylinder

A
52
Q

Slope of a line

A
53
Q

Slope of two lines that are perpendiular to each other

A

negative reciprocal

54
Q

Distance formula (to find the distance between two points)

A
55
Q

Graph of a quadratic equation

A

in a parabola

56
Q

Quadratic equation

A
57
Q

Distance formula

A

Distance = Rate x Time

58
Q

Work Rate Formula

A

Output = rate x time

59
Q

Sum of consecutive integers from 1 to n

A
60
Q

Simple interest

A
61
Q

Compound interest

A
62
Q

Fundamental Counting Principle

A

If a task is comprised of stages, where…

One stage can be accomplished in A ways

Another can be accomplished in B ways

Another can be accomplished in C ways

…and so on, then the total number of ways to accomplish the task is A x B x C x …

63
Q

Factorial notation

A
64
Q

Combinations

A

When order does not matter

65
Q

Permutations

A

When order does matter

66
Q

Probability that event A will happen

A
67
Q

The complement of an event

A

The chance the event doesn’t occur (e.g., the complement of drawing a green ball is drawing a ball that isn’t green)

68
Q

If A and B are independent events, P (A and B) =

A

P (A) x P (B)

69
Q

P (A or B) =

A

P (A) + P (B) - P (A and B)

70
Q

If A and B are dependent events, P (A and B) =

A
71
Q

The Triangle Inequality

A

The sum of any two sides of a triangle must be bigger than the third side

72
Q

Number of integers from m to n inculsive

A

n-m+1

73
Q

“per capita”

A

per person

74
Q

1 million

A

1,000,000

75
Q

1 billion

A

1,000,000,000

76
Q

Adding inequalities vertically can only be done if…

A

…the signs face the same direction

77
Q

mean and median in an evenly spaced set

A

In an evenly spaced set, the median is always equal to the mean

78
Q

To find the middle number of an evenly spaced set

A

take the average of two extremes

79
Q

Inscribed figure

A

One that is drawn inside another with only the sides touching

80
Q

Arithmetic sequence

A
  • same number is added to each element to get the next element
  • mean = median
81
Q

(x-y) / (y-x) =

A

= -1

82
Q

Area of an equilateral triangle

A
83
Q

weighted average formula

A

weighted average = sum (percent weight *number)

84
Q

Surface area of a cube

A

6(side length)^2

85
Q

Volume of a cube

A

(side length)^3

86
Q

Recall that the remainder, in any division problem:

A

Recall that the remainder, in any division problem, must be less than the divisor (the number by which you divide).

87
Q

A diagonal in a rectangle

A

A diagonal divides a rectangle into two equal triangles

88
Q

Any fraction between 0 and 1 multiplied by itself will what in value?

A

Any fraction between 0 and 1 multiplied by itself will decrease in value

89
Q

whenever the numbers in the set are equally spaced =

A

whenever the numbers in the set are equally spaced:

  1. the mean (average) is equal to the median (the middle number)
  2. the overall average is equal to the average of the first and last terms
90
Q

Exterior Angle Rule

A

Exterior Angle Rule states that the measure of an exterior angle is equal to the sum of the measures of the two “remote” interior angles, i.e., the interior angles that do not border the exterior angle in question.

91
Q

Distance between points

A

GRE Math (1 decks)

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