GRE Quant Concepts to Memorize

quadratic formula

notation for how many ways you can pick a small group (k) from a big group (n) when order does not matter

another way to notate a combination

multiple

a product of a number and an integer; the results of counting by x

divisor

a number that divides another number evenly with no remainder, some of which may also be called a factor

distance (d) formula

Distance = (Rate)(Time)

area of a triangle

ratios of a 30°-60°-90° triangle’s sides

ratios of a 45°-45°-90° triangle’s sides

√2

1.4

√3

1.7

√5

2.2

√7

2.6

normal distribution curve percentages

area of a circle

circumference of a circle

mean/average formula

technique for “order matters” question (combination vs. permutation**)

slot method

technique for “order doesn’t matter” question (combination** vs. permutation)

use formula

area of a trapezoid

odd + odd =

even

even + even =

even

even + odd =

odd

odd - odd =

even

even - even =

even

even • even =

even

even • odd =

even

odd • odd =

odd

prime numbers less than 100

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 61, 67, 71, 73, 79, 83, 89, 97

2⁰ =

1

2¹ =

2

2² =

4

2³ =

8

2⁴ =

16

2⁵ =

32

2⁶ =

64

2⁷ =

128

2⁸ =

256

2⁹ =

512

2¹⁰ =

1024

3² =

9

3³ =

27

3⁴ =

81

3⁵ =

243

4² =

16

4³ =

64

4⁴ =

256

5² =

25

5³ =

125

5⁴ =

625

(½)² [>, <] (½)

(½)² < (½)

(–½)² [>, <] (–½)

(–½)² > (–½)

(½)³ [>, <] (½)

(½)³ < (½)

(–½)³ [>, <] (–½)

(–½)³ < (–½)

(½)¹/² [>, <] (½)

(½)¹/² > (½)

compound interest formula

area of an equilateral triage

surface area of a cylinder

volume of a cylinder

volume of a cube

surface area of a cube

6 • (side)²

volume of a rectangular prism

L • W • H

surface area of a rectangular prism

2(WL) + 2(WH) + 2(LH)

diagonal of a cube

side√3

diagonal of a rectangular prism

diagonal² = L² + W² + H²

graph of an undefined slope

work formula

work = rate • time

linear equation formula

point slope linear equation formula

intercept form of linear equation

standard form of a linear equation

special proportions of a scalene right triangle

percent change formula

solving method for when order does not matter (combination** vs. permutation)

the method for entering the terms to open this lock is an example of: a combination or a permutation?

permutation; the order in which you enter the terms matters (slot method)

key words for permutation (order matters; slot method)

arrange, line up, order

key words for combinations (order is irrelevant; nCr formula)

choose, select, pick