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GRE Quantitative > Rules to Remember > Flashcards

Rules to Remember Flashcards

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1
Q

Percent Change Formula

A

[(Amount of change)/(Starting Amount)] * 100

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2
Q

How do you find aggregate change?

A

Multiply the respective multipliers. ex: (1.40)(0.70)(1.20)

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3
Q

Don’t assume x is…

A

…an integer unless specified.

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4
Q

(even)+(even)=

A

even

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5
Q

(odd)+(odd)=

A

even

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6
Q

(even)+(odd)=

A

odd

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7
Q

(even) * (even)=

A

even

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8
Q

(odd) * (odd)=

A

odd

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9
Q

(even) * (odd)=

A

even

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10
Q

2 is the only…

A

…even prime number.

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11
Q

If zero is an option…

A

…then it is forbidden to divide by a variable.

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12
Q

A^2-B^2 is equal to…

A

(A+B)(A-B)

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13
Q

(A+B)^2 is equal to…

A

A^2 + 2AB + B^2

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14
Q

(A-B)^2 is equal to…

A

A^2 - 2AB + B^2

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15
Q

Add/Subtracting any number/variable or dividing by a positive to both sides of an inequality…

A

…leaves the inequality true.

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16
Q

Exponentiation distributes over…

A

…multiplication but not addition.

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17
Q

Multiplying exponents…

A

…add together.

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18
Q

Dividing exponents…

A

…subtract from one another.

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19
Q

Raising a power to a power…

A

…multiplies the powers together.

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20
Q

3^3

A

27

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21
Q

4^3

A

64

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22
Q

5^3

A

125

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23
Q

Average Velocity of a Trip

A

(Total distance) / (Total time)

24
Q

Given the mean, sum of items =

A

= (Average) * (# of items)

25
Q

If all entries of the list are equal then the standard deviation…

A

…is zero.

26
Q

If all entries have a number added or subtracted the SD…

A

…doesn’t change.

27
Q

If you multiply a list by a constant the SD…

A

…the SD is also multiplied by that constant.

28
Q

If all entries are the same distance away from the mean, the distance is…

A

… the standard deviation.

29
Q

Inclusive Counting Formula (ex: from a to b)

A

Number of entries = (a - b) + 1

30
Q

Sum - Inclusive counting

A

= (sum of each pair) * (# of pairs)

31
Q

Inclusive counting sum works for…

A

…consecutive integers, consecutive multiples of any integer, and any sequence in which each new term is the previous term plus a constant.

32
Q

Do not assume lines are…

A

…perfectly perpendicular or parallel.

33
Q

The sum of two sides of a triangle must…

A

…be longer than the third.

34
Q

Other names for an isosceles triangle are…

A

…the 45-45-90 triangle and the rad2:1:1 triangle.

35
Q

Other names for a half equilateral triangle are…

A

…the 30-60-90 triangle and the 1:rad3:2 triangle.

36
Q

Circumference of a Circle

A

c = pi * d

c = 2 * pi * r

37
Q

Area of a Circle

A

A = pi * r^2

38
Q

Fundamental Counting Principle

A

If a category has P alternatives and Q alternatives, with no overlap, P*Q equals the number of possible combinations.

39
Q

Permutation vs. Combination

A

In a permutation order matters; in a combination order does NOT matter.

40
Q

Permutation Formula

A

of permutations of n objects = n!

41
Q

Combination Formula

A

of combinations = [n! / r! * (n - r)!]

42
Q

In the combination formula…

A

…“n” is the larger collection and “r” is the number of elements selected.

43
Q

“Disjoint” events are…

A

…mutually exclusive.

44
Q

Mutually exclusive or disjoint events formula

A

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

45
Q

Non-disjoint events formula

A

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

46
Q

Independent events formula

A

P(A and B) = P(A) x P(B)

47
Q

P(A or not A) =

A

1

48
Q

P(not A) =

A

1 - P(A)

49
Q

The negation or opposite of “at least 1” is…

A

…none.

50
Q

P(at least one success) =

A

1 - P(no successes)

51
Q

Interquartile Range (IQR)

A

Between Q1 and Q3

52
Q

Histogram is a representation of the…

A

…distribution of a single qualitative variable.

53
Q

It’s impossible to calculate the mean from a…

A

…histogram.

54
Q

Population between one SD of the mean equals…

A

…68%.

55
Q

Population between two SDs of the mean equals…

A

…95%.

56
Q

Population between three SDs of the mean equals…

A

…99.7%.

57
Q

For quantitative comparison questions know that…

A

…dividing by anything other than a positive is forbidden.

GRE Quantitative (1 decks)

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