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GMAT > Quantitative > Flashcards

Quantitative Flashcards

0
Q

Volume of a cylinder

A

V=pi (r^2) h

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1
Q

Area of a circle

A

pi(r^2)

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2
Q

What happens to the mean, median and standard deviation if x is added to each score?

A

Mean and median are increased by x but standard deviation stays the same

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3
Q

Sum of the interior angles of any polygon

A

180(n-2) where n is the number of sides

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4
Q

Prime numbers up to 20

A

2,3,5,7,11,13,17,19

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5
Q

Integer

A

Includes 0

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6
Q

Improper fraction

A

Numerator is larger than the denominator

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7
Q

Mixed number

A

Mix of a whole number and a fraction

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8
Q

Reciprocal

A

Upside down version of the fraction

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9
Q

17/51

A

1/3

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10
Q

Least common denominator

A

Lowest common multiple of the denominators of two fractions

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11
Q

1/6

A

0.166666

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12
Q

5/6

A

0.83333

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13
Q

1/7

A

0.14

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14
Q

1/8

A

0.125

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15
Q

3/8

A

0.375

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16
Q

5/8

A

0.625

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17
Q

7/8

A

0.875

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18
Q

1/9

A

0.11111

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19
Q

17/85

A

1/5

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20
Q

1/11

A

0.91

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21
Q

Linear equation

A

An equation in which the variables aren’t modified by exponents or roots

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22
Q

How to determine if an equation is solvable?

A

Both equations are linear and distinct

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23
Q

How to solve a quadratic equation?

A

Find two numbers which add to give the coefficient on the x term and multiply to give the constant

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24
Q

Factors for difference of squares: x^2 - y^2

A

(X+y)(x-y)

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25
Q

Quadratic equation

A

[ -b +/- root(b^2 -4ac) ] /2a

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26
Q

Square root of 225

A

15

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27
Q

When to change the direction of an equality sign

A

When dividing or multiplying by a negative number

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28
Q

How to work with 3 part inequalities?

A

Each part has the operation done to it (addition, subtraction, multiplication and division)

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29
Q

Integer

A

Integer is a number that can be written without fractional or decimal component.

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30
Q

Bisect

A

To divide in two equal parts

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31
Q

Area of a triangle

A

1/2 b * h

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32
Q

When measuring for area of a triangle base and height must be perpendicular

A

–

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33
Q

No side of a triangle can be greater than or equal to the sum of the other two

A

–

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34
Q

No side of a triangle can be less than or equal to the difference of the other two sides

A

–

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35
Q

Pythagorean triplets (3 sets)

A

3: 4:5
5: 12:13
7: 24:25

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36
Q

Lengths of a 45:45:90 triangle (diagonal of a square)

A

X:x:[x root 2]

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37
Q

Lengths of a 30:60:90 triangle (splitting an equilateral triangle)

A

X: [x root 3] : 2x

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38
Q

Area of a trapezoid

A

(B1+b2)/2 * h where b1 and b2 are the lengths of the parallel lines

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39
Q

Circumference of a circle

A

2pi(r) or 2pi(d)

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40
Q

To find arcs and sectors

A

Multiply the normal area and circumference formulas by angle/360

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41
Q

Chord

A

A chord is a line connecting two points on a circle but it is not necessarily the diameter of the circle

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42
Q

Surface area of a rectangular solid

A

2(lw) + 2(lh) + 2(wh)

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43
Q

Surface area of a cylinder

A

2pi(r)(h) + 2pi(r^2)

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44
Q

Equation for slope

A

Y2-y1/(x2-x1)

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45
Q

Bisect

A

Cut in half

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46
Q

Sum of the interior angles of a polygon

A

180(n-2)

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47
Q

Adding or subtracting from a ratio

A

Write the ratio as a fraction and subtract or add only from the group that is changing.

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48
Q

Work equation to use when given the time to complete a task

A

(A*B)/(A+B)

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49
Q

Prime number

A

Any number that is divisible only by 1 and itself. Does not include 1.

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50
Q

How many even prime numbers are there?

A

Only one: 2

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51
Q

How to check if a number is prime?

A

Check if it is divisible by all the numbers less than its closest square root

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52
Q

How to tell if a number is divisible by 3

A

Add all of the digits and see if that number is divisible by 3

53
Q

How to tell if a number is divisible by 4

A

Check if last two digits are divisible by 4

54
Q

How to tell if a number is divisible by 6?

A

Divisible by 2 and 3

55
Q

How to tell if a number is divisible by 9

A

Check if the sum of digits is divisible by 9

56
Q

How to calculate how many factors a number has

A

Find the prime factorization. Find the powers and add one to each. Multiply the resulting numbers.

57
Q

Square of an integer is defined by having an even number of all its prime factors

A
58
Q

How to find the least common multiple

A

Find the prime factorization of both numbers, and then find every unique prime number and raise that to the highest power in either of the two numbers.

59
Q

Is zero an even number?

A

Yes.

60
Q

In a series of consecutive numbers, the average and the median are the same

A
61
Q

Consecutive numbers

A

Numbers that are evenly spaced

62
Q

Sum of consecutive numbers

A

Find the midpoint and multiply by the number of terms

63
Q

Consecutive odds

A

Odd numbers right after each other

64
Q

Opposite to a remainder?

A

Quotient

65
Q

Equation to find quotient, remainder or divisor

A

X=qy + r

66
Q

How to find common remainders

A

Find lowest common remainder for the two equations and then add the lowest common multiple of the two divisors

67
Q

If x,y,z are consecutive integers…

A

Both the sum and product will be divisible by 3

68
Q

Range

A

Difference between the largest and smallest numbers in a set

69
Q

Standard deviation

A

Square root of Average of the differences between value and mean

70
Q

What happens if you had a value to every number in a set?

A

Average is increased but standard deviation is the same.

71
Q

What happens if you multiply every number in a set?

A

Standard deviation increases or decreases by that same number.

72
Q

Equation for combined sets

A

Total = group 1 + group 2 - both + neither

73
Q

Permutation equation

A

N!/(n-k)!

74
Q

When one of the spots of a permutation is fixed…

A

Use the visual method

75
Q

0! Equals

A

1

76
Q

Circular permutation problem

A

Find the number of unique rows and divide by the number of duplicates. Becomes (n-1)!

77
Q

If you have to find the dofference of the squares of two large numbers

A

You the difference of squares to simplify

78
Q

Circle inside an equilateral triangle…

A

Radius will bisect the angles.

79
Q

Find all factors of a number

A

Find the prime factorization. List all the exponents. Add one to each of the exponents. Multiply the resulting numbers.

80
Q

Which numbers should you pick for data sufficiency when looking at exponents with no efficients?

A

-1, 0, 1. Pick numbers within those ‘zones’

81
Q

Disjoint set

A

Two sets that have no elements in common (mutually exclusive)

82
Q

Polygon

A

Closed plane figure formed by three or more line segments

83
Q

Altitude

A

Segment drawn from a vertex perpendicular to the side opposite that vertex

84
Q

Inscribed in a circle…

A

Each vertex of a polygon lies on a circle

85
Q

Circumscribed…

A

Each side of a polygon is tangent to a circle

86
Q

To find the distance between two points in the coordinate plane…

A

Use the Pythagorean theorem

87
Q

Equation to calculate rate at which two people or machines work together

A

Add the two rates together

88
Q

E +/- E

A

E

89
Q

E +/- O

A

O

90
Q

O +/- O

A

E

91
Q

E * E

A

E

92
Q

E * O

A

E

93
Q

O * O

A

O

94
Q

X^y + X^y

A

2x^y

95
Q

X^-y

A

1/x^y

96
Q

(X^y)(x^z)

A

X^(y+z)

97
Q

(X^y)^z

A

X^(y*z)

98
Q

X^(1/2)

A

Rt(x)

99
Q

R2

A

1.4

100
Q

R3

A

1.7

101
Q

R(xy)

A

R(x)*r(y)

102
Q

11*11

A

121

103
Q

13*13

A

169

104
Q

14*14

A

196

105
Q

15*15

A

225

106
Q

Adding radicals

A

Must have the same base (e.g r2 and r2)

107
Q

Squares of non primes

A

16, 36, 64, 81

108
Q

Multiples of 12

A

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

109
Q

Numbers under 100 with several prime factors

A

30, 42, 60, 78, 84

110
Q

Number under 100 that is the square of an integer and a cube of an integer

A

64

111
Q

Numbers above 1 that are squares of an integer and squares of squares

A

16, 81

112
Q

Smallest numbers with at least 3 prime factors

A

30 and 42

113
Q

How to determine what the divisor is or what the remainder is

A

Find the fractional element and simplify to the smallest possible value. The remainder must be a multiple of this number. The divisor is the denominator associated with the correct remainder.

114
Q

Dividend

A

Number being divided by a divisor to produce a quotient and a remainder

115
Q

To be a perfect square…

A

A number must have an even number of each of its prime factors (see 155 gmat book)

116
Q

Formula to find the sum of the first n integers

A

N(n+1)/2

117
Q

In any reflection through the line y=x the x coordinate and y coordinate

A

Become interchanged

118
Q

125 of 1000

A

1/8

119
Q

Z^2<4

A

-2<2

120
Q

M>2N

A

Does not imply M>N…

121
Q

A number has only one prime factor…

A

It is either prime or a prime number raised to an integer power

122
Q

Is r and integer if r^2 is an integer?

A

Don’t know

123
Q

How many numbers between 1 and 20 inclusive? How many numbers between 50 and 70 inclusive

A

20 and 21.

124
Q

3 consecutive numbers will have the following properties

A

Sum is divisible by 3 and product is divisible by 3

125
Q

Z^2<4

A

-2<2

126
Q

M>2N

A

Does not imply M>N…

127
Q

A number has only one prime factor…

A

It is either prime or a prime number raised to an integer power

128
Q

Is r and integer if r^2 is an integer?

A

Don’t know

129
Q

How many numbers between 1 and 20 inclusive? How many numbers between 50 and 70 inclusive

A

20 and 21.

130
Q

3 consecutive numbers will have the following properties

A

Sum is divisible by 3 and product is divisible by 3

GMAT (4 decks)

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