Math

Question 1

isosceles

Answer 1

triangle with two sides of equal length

Question 2

normal distribution

Answer 2

• 3 standard deviations (in both directions) is approx. 99%
• The approximate percentages per standard deviation are: 34%, 14%, 2%
• In a normal distribution: mean = median = mode = the center of the bell curve

Question 3

Combinations Formula

Answer 3

For “r” objects from a set of “n” objects:

_nC_r = n! / r!(n-r)!

Question 4

Probability Formula

Answer 4

Probability of an Event = Number of Favorable Outcomes / Total Number of Possible Outcomes

(The probability of multiple events will be the total of the probability of individual events multiplied together)

Question 5

Permutation Formula

Answer 5

(Order matters with permutations)

The number of permutations (_nP_k) of k objects from a set of n is:

_nP_k = n! / (n-k)!

Question 6

Median

Answer 6

The middle value in a set of values arranged from lowest to highest. (Note that if there is an even number of values, the median is then the mean of the two middle values)

Question 7

arithmetic mean

Answer 7

the average

Question 8

Mode

Answer 8

the number in a set that occurs most often

Question 9

Range

Answer 9

the difference between the highest number and the lowest number in a set

Question 10

Formula for 2 Overlapping Groups

Answer 10

Total = Group 1 + Group 2 + Neither - Both

or: T = G₁ + G₂ + N - B

(Note: the key words are NEITHER and BOTH)

Question 11

Ratios for 90^o- 45^o- 45^o Triangle

Answer 11

Question 12

Ratios for 90^o - 60^o - 30^o Triangle

Answer 12

Question 13

Integer

Answer 13

a “whole” number that does not contain decimals, fractions, or radicals;

can be positive, negative, or zero

Question 14

Positive

Answer 14

greater than zero

Question 15

Negative

Answer 15

less than zero

Question 16

Divisible

Answer 16

When a number divides into another number with no remainder

Question 17

Remainder

Answer 17

the “leftovers” of a division when one number doesn’t divide exactly into another number

Question 18

Divisor

Answer 18

a number that divides into another number

Question 19

Prime

Answer 19

a number that is only divisible by itself and 1;

(1 is not a prime number;

negative numbers and zero are not prime)

Question 20

Consecutive

Answer 20

in a row, usually ascending

Question 21

A Number is Divisible

by 3 if:

Answer 21

Its digits add up to a multiple of 3

Question 22

A Number is Divisible

by 4 if:

Answer 22

Its last two digits are divisible by 4

Question 23

A Number is Divisible

by 6 if:

Answer 23

It is divisible by 2 and by 3 (i.e. it is both even and divisible by 3)

Question 24

A Number is Divisible

by 8 if:

Answer 24

Its last three digits are divisible by 8

Question 25

A Number is Divisible

by 9 if:

Answer 25

Its digits add up to a multiple of 9

Question 26

A Number is Divisible

by 12 if:

Answer 26

Apply the rules of 3 and 4

Question 27

A number raised to power zero

Answer 27

n⁰ = 1

Question 28

Total interior angles of a polygon with n sides

Answer 28

Total interior angles = (n - 2)180

Question 29

Circle Relationships

Answer 29

θ / 360 = arc / circumference = area sector / area circle

Question 30

Volume of a Cone

Answer 30

1/3*πr²h

Question 31

Volume of a Cylinder

Answer 31

πr²h

Question 32

Diagonal of a rectangular prism (or cube)

Answer 32

d² = a² + b² + c²