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GRE quant Flashcards

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1
Q

How do you find Q1, Q2, Q3, Q4

A

first find Q2 (median), then Q1 is the median of the lower half, Q3 is the median of the higher half, and Q4 is the max

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2
Q

Definition of a percentile

A

% of the data that is below the amount in question, or % of the data that is at or below the amount in question

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3
Q

What is the range?

A

The range is the difference between the greatest number in a list and the smallest number in a list. For example the range for 11, 10, 5, 13, 21 is 21-5= 16

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4
Q

How do you calculate the interquartile range?

A

Q3-Q1

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5
Q

How do you find the standard deviation among 0,7,8,10, 10

A

1) find the average/mean, which equals 7
2) (7-0)^2 + (7-7) ^2 + (7-8) ^2 + (7-10) ^2 + (7-10) ^2 = 68
3) 68/5=
4) Take the square root of 13.6, which is 3.7

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6
Q

Area of a circle

A

A= πr^2

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7
Q

Circumference of a circle

A

C = 2πr

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8
Q

Area of a triangle

A

A = 1/2b*h

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9
Q

Area of a rectangle

A

A = bh

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10
Q

The mean of a sample is 32.5 and the std deviation is 7. What is 2 standard deviations away? How many standard deviations above or below 32.5 is 48?

A

Q1) 46.7
Q2) approximately 2.2

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11
Q

2 * 3 * 10 = 60. 2, 3, 10 are ______ of 60

A

factors

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12
Q

25 is a _______ of 5, 1, 25.

A

multiple

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13
Q

1 is a factor of every integer. Is this true or false?

A

True

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14
Q

What is the least common multiple of 40 and 80?

A

160

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15
Q

What is an integer that only has 2 divisor, the number 1 and itself?

A

A prime number

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16
Q

What is -3 ^2

A

-9

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17
Q

What is (-3) ^2

A

9

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18
Q

a ^0

A

1

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19
Q

a ^-3

A

1/a^3

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20
Q

What percent of 150 is 12.9?

A

8.6%

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21
Q

15 is 60% of what number?

A

25

22
Q

An investment in a mutual fund increased by 12% in a single day. The original value was $1,300. What is the new value?

A

$1456

23
Q

The monthly enrollment at the preschool decreased by 8% one month, and then increased by 6% the next month. What is the cumulative % change?

A

2.48% decrease

24
Q

(x^a)(x^b)

A

x^a+b

25
Q

(3^2)(3^3)

A

3^5

26
Q

5^5/5^4

A

5^5-4 = 5^1

27
Q

t^3/t^8

A

t^3-8 = t^-5 = 1/t^5

28
Q

(2^2)(4^2)

A

8^2

29
Q

(10z)^3

A

10^3 * z^3 = 1,000z^3

30
Q

(3/4)^2

A

9/16

31
Q

(x^a)^b

A

x^a*b

32
Q

(3^3)^2

A

3^6

33
Q

How do you solve for x in: ax^2 + bx + c

A

x = -b+- √b^2 - 4ac/ 2a

34
Q

find x for 2x^2 - x - 6

A

x = 2, and x= -3/2

35
Q

What is the formula for the slope of a line?

A

y2-y1/x2-x1

36
Q

Two lines are _____ when their slopes are the same, and two lines are _____ when one line’s slope is the negative reciprocal of the other

A

parallel, perpendicular

37
Q

Solve for the x-intercept: y= 0.75x -1.5

A

x= 2

38
Q

How do you solve for the y -intercept?

A

Make x = 0

39
Q

Find the vertex of: y= 5x^2 - 2x +15

A

(2, -5)

40
Q

What is the formula for the x-vertex

A

-b/ 2a

41
Q

What points does x + y = 3 and 3x - 2y = 4 intersect at?

A

x = 2, y = 1

42
Q

What is the sum of the measures of the interior angles of a hexagon?

A

(6-2)(180) = 720

43
Q

If triangle ABC has two angles that equal 50, what does that third angle equal?

A

80

44
Q

Equation to find the length of the hypotenuse

A

√a^2 + b^2

45
Q

For all parallelograms the Area is?

A

A = bh

46
Q

What is the area of a trapezoid?

A

1/2 (b1 + b2) (h)

47
Q

Find the length of arc ABC of a circle with radius 5, the degree measure is 50.

A

4.4

48
Q

Find the sector of the circle region bound by ABC, angle 50 and radius of 5.

A

10.9

49
Q

What is the formula for the volume of a rectangular solid

A

V = lwh

50
Q

What is the formula for the surface area of a rectangular solid

A

A= 2(lw+lh+wh)

51
Q

What is the formula to find the volume of a cylindrical solid

A

V=πr^2h

52
Q

What is the formula for the area of a cylindrical solid?

A

A= 2πr^2 + 2πrh

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