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GRE Quantitative > Chapters > Flashcards

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1
Q

1/12

A

8 1/3%

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2
Q

What are the five steps to calculating standard deviation?

A

1) Find the average of the data points.
2) Find the difference between the average and each data point.
3) square each of the differences.
4) find the average of the squared differences.
5) take the square root of that average.

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3
Q

Total surface area of a cylinder:

A

Areas of circular ends + lateral surface area

2 pi r squared + 2 pi r h

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4
Q

To find the increase or decrease in percent problems:

A

take the difference between the original and the new

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5
Q

The reciprocal of a fraction between -1 and 0 is…

A

less than both the original fraction and -1.

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6
Q

When the GRE tests percent increase, use the formula:

A

Percent increase = increase(100%) / Original

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7
Q

In percent problems, the PRINCIPAL is…

A

the sum of money invested.

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8
Q

In a quadrilateral, the sum of the interior angles equals…

A

360 regardless of shape

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9
Q

When finding missing numbers, the concept of balanced value is…

A

to understand that the sum of the differences between each term and the mean of the set must equal zero.

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10
Q

Derived from the combined work formula, the following formula may be used for situations in which two people are working together:

A

T = ab / a+b

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11
Q

What are the steps in determining quartiles? How do you determine the quartiles?

A

1) arrange the terms in your data set in numerical order.
2) subdivide the set of terms into four quarters, each containing an equal number of terms.

The quartile of each set is the largest number in each of the four sets.

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12
Q

1/12

A

8 1/3%

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13
Q

What is the combination formula?

A

n! / k!(n-k)!

where:
n = number of items in the group as a whole
k = the number of items in each subgroup formed

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14
Q

An integer is divisible by 3 if…

A

its digits add up to a multiple of 3.

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15
Q

In quantitative comparison questions for triangles, to find the area, you need…

A

the base and the height

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16
Q

Surface area of a cube

A

Sum of areas of faces

6e^2

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17
Q

A ratio may be expressed in three different ways:

A

With a colon (2:3) or a fraction (2/3) or with words (two to three).

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18
Q

11/12

A

91 2/3%

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19
Q

The reciprocal of a fraction between 0 and 1 is….

A

greater than both the original fraction and 1.

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20
Q

To find the area of a parallelogram:

A

A = (base)(height)

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21
Q

What is the distributive law of multiplication?

A

Allows you to disbribute a factor over numbers that are added or subtracted.

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22
Q

3/8

A

37 1/2%

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23
Q

The X coordinate moves _____ and the Y coordinate moves ____

A

X moves left or right of the y-axis, and Y moves above or below the x-axis.

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24
Q

True or false: You can add radicals with different bases.

A

False: only like radicals can be added to or subtracted from one another.

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25
Q

If you multiple or divide an inequality by a negative number…

A

you must reverse the direction of the inequality.

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26
Q

2/5

A

40%

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27
Q

To raise a power to another power:

A

multiple the exponents.

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28
Q

What is the diagonal of a polygon?

A

A line segment connecting any two nonadjacent vertices.

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29
Q

4/5

A

80%

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30
Q

What is the “Combined Work Formula”?

A

1/a + 1/b + 1/c = 1/T

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31
Q

Raising any non zero number to an exponent of zero equals:

A

1

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32
Q

You can average averages only when there are…

A

an equal number of terms in each set.

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33
Q

To change a fraction to its percent equivalent…

A

multiply by 100%

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34
Q

Monomial

A

An algebraic expression with only one term

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35
Q

1/6

A

16 2/3%

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36
Q

How do you calculate the probability of one or another event occurring?

A

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

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37
Q

To find the number of elements in the union of two sets, use the formula:

A

|A union B| = |A| + |B| - |A intersection B|

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38
Q

To divide two powers with the same base:

A

keep the base and subtract the exponent of the denominator from the exponent of the numerator.

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39
Q

What is the sum of the interior angles of any triangle?

A

180 degrees.

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40
Q

What is a chord in a circle?

A

A line segment that joins two points on a circle.

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41
Q

What are the two most common GRE pythagorean triples?

A

3, 4, 5
and
5, 12, 13

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42
Q

A base with a negative exponent indicates:

A

the reciprocal of that base to the positive value of the exponent.

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43
Q

Multiplying any negative number by a fraction between 0 and 1…

A

gives a product greater than the original number.

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44
Q

An integer is divisible by 2 if…

A

its last digit is divisible by 2

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45
Q

What is the ratio between the length of legs on an isosceles right triangle?

A

x : x : x(sq.rt.)2

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46
Q

Define “bivariate data”

A

Two measured variables related to each other, often graphically displayed in a scatterplot

47
Q

To find the greatest common factor of two integers:

A

you break down both integers into their prime factorizations and multiple all the prime factors they have in common.

48
Q

Formula for area of a circle:

A

(pi)r^2

pi r squared

49
Q

An integer is divisible by 4 if…

A

its last two digits are a multiple of 4.

50
Q

What is the communitative law of addition and multiplication?

A

Switcching the order of any two numbers being added or multiplied together does not affect the result

51
Q

Raising a fraction between zero and one to a power produces a (smaller/larger) result.

A

smaller

52
Q

What is the formula for distance when calculating rates?

A

Distance = (Speed)(Time)

53
Q

What is the pythagorean theorum?

A

a^2 + b^2 = c^2 for right triangles. The sum of the squares of the legs of right triangles equals the square of the hypotenuse.

54
Q

What is the area of a triangle?

A

1/2(base)(height)

55
Q

What is the hypotenuse?

A

The longest side of a right triangle, opposite the right angle.

56
Q

Picking numbers will always work in any odds/evens problem EXCEPT ____ and ESPECIALLY _____.

A

except when division is involved, especially if the problem is in Quantitative Comparison format.

57
Q

1/8

A

12 1/2%

58
Q

5/6

A

83 1/3%

59
Q

What are the five values in a box-and-whisker plot?

A 
L) the least number in the data
G) The greatest number
M) The median
Q1) The first quartile
Q3) the third quartile
The interquartile range is a rectangular box between the first and third quartiles.
60
Q

An integer is divisible by 5 if…

A

its last digit is 0 or 5

61
Q

What is the difference between simple interest and compound interest?

A

Simple interest is kept separate from the principal, whereas compound interest is reinvested.

62
Q

Raising an even number to any exponent gives an (even, odd) number.

A

Even

63
Q

The term “constant” means…

A

a number not multiplied by any variable(s)

64
Q

An integer is divisible by 6 if…

A

it is divisible by both 2 and 3.

65
Q

Formula for the surface area of a rectangular solid

A

sum of areas of faces

2lw + 2lh + 2hw

66
Q

What is the associative law of addition and multiplication?

A

Regrouping the numbers does not affect the result

67
Q

In quantitative comparison questions for triangles, if you know two angles…

A

you know the third

68
Q

Every positive number has _____ square roots.

A

2 square roots, one positive, one negative.

69
Q

The _____ x and ____ y lines

A

The horizontal x and vertical y

70
Q

How can you determine the sum of the interior angles of a polygon?

A

By dividing the polygon into triangles.

71
Q

What is pi?

A

Pi = Circumference / Diameter = 3.14

72
Q

What linear equation describes straight lines?

A

y = mx + b

where m is the slope and b is the point where the line intercepts the y-axis (the value of y where x=0).

73
Q

Formula for the volume of a cube

A

lwh

or e^3

74
Q

To multiple two powers with different bases but the same power:

A

multiply the bases together and raise to the power.

75
Q

Raising a negative number to an odd power gives a ( + or - ) result.

A

-

76
Q

Volume of a cylinder

A

(area of base)(height)

pi)r^2(h

77
Q

A mixed number consists of…

A

an integer and a fraction.

78
Q

What is the formula for time (speed/distance/time)?

A

Time = Distance/Speed

79
Q

What is the formula for speed?

A

Speed = Distance/Time

80
Q

the formula for area of a sector:

A

(n/360)(area of circle)

in other words

(n/360)(PIr^2)

81
Q

When the GRE tests percent decrease, use the formula:

A

percent decrease = decrease(100%) / Original

82
Q

What is the difference between combinations and permutations?

A

Permutations are ordered

83
Q

To multiply two powerrs with the same base:

A

keep the base and add the exponents together.

84
Q

1/20 to %

A

5%

85
Q

3/5

A

60%

86
Q

What are the four steps to factoring standard quadratic equations?

A

1) rearrange the equation into standard quadratic form
2) identify the factors of the last term and those of the coefficient of the first term
3) find the pairs whose sum will result in the coefficient of the middle term
4) set each factor equal to 0 to find the possible values of x.

87
Q

7/8

A

87 1/2%

88
Q

5/8

A

62 1/2%

89
Q

True or false: you can combine equations in such a way that one of the variables cancels out.

A

True

90
Q

Raising a negative number to an even power produces a (+ or - ) result.

A

+

91
Q

What is the sum of the measures of the angles around a point?

A

360 degrees

92
Q

2/3

A

66 2/3%

93
Q

Lateral surface area of a cylinder:

A

(circumference of base)(height)

2(pi)r^2(h)

94
Q

An integer is divisble by 9 if…

A

its digits add up to a multiple of 9.

95
Q

Polynomial

A

The general name for an algebraic expression with more than one term.

96
Q

The three exterior angles of any triangle add up to….

A

360 degrees

97
Q

When you divide a percent by another percent…

A

the percent signs cancel each other out.

98
Q

In percent problems, SIMPLE INTEREST…

A

is kept separate from the principal.

99
Q

The square of any fraction between 0 and -1 is…

A

greater than the original fraction.

100
Q

When choices or events occur one after the other and the choices or events are independent of one another, the total number of possibilities can be found by:

A

multiplying the number of options for each

ex: 4x3x5

101
Q

Order of operations

A 
Parentheses
Exponents
Multiplication
Division 
Addition
Subtraction

Multiply and Divide from left to right simultaneously
Add and Subtract from left to right simultaneously

102
Q

In quantitative comparison questions for triangles, if you know one side of an isosceles right triangle or a 30/60/90 triangle…

A

you can find everything

103
Q

What is the ratio between the length of legs on 30 / 60 / 90 right triangle?

A

x : x(sq.rt)3 : 2x

104
Q

Formula for calculating probability

A

of desired outcomes / # of possible outcomes

105
Q

How do you determine the interquartile range?

A

Find the difference between the values of the third and first quartiles.

106
Q

When you are asked to find potential combinations from multiple groups…

A

multiply the potential combinations from each group.

107
Q

What is the formula for circumference of a circle?

A

C = pi(d) or C = (pi)2r

108
Q

The square of a fraction between 0 and 1 is….

A

less than the original fraction.

109
Q

What is a tangent?

A

A line that touches only one point on the circumference of a circle.

110
Q

To change a percent to its fractional equivalent…

A

divide by 100%

111
Q

The formula for arc length:

A

Arc length = (n/360)(circumference)

112
Q

Raising an odd number to any exponent gives an (even, odd) number.

A

odd

113
Q

To find the point(s) of intersection between two functions in the coordinate plane:

A

set them equal to each other and solve

114
Q

How do you find the area of a trapezoid?

A

(Average of bases)(height)

GRE Quantitative (1 decks)

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