Algebra
Counting
Probability
Statistics
Sets & Logic
100

Solve for x:

5x - 2 = 18

x = 4

100

How many different 4-digit passwords are possible?

104 or 10,000

100

If you flip two coins, what is the probability that one lands on heads and the other lands on tails?

1/4

100

When looking for outliers, what do we multiply our IQR by?

(before adding the total to Q3 and subtracting it from Q1)

1.5

100

A = {1, 3, 5, 7}    B = {2, 5, 7, 9}

What is A intersect B?

{5}

200

Find f(-2)

f(x) = x2 - 2x + 8

f(-2) = 16

200

How many different poker hands contain four aces?

48

200

If you have a bag with 4 green skittles and 1 red skittle and you pull out two of them (without putting the first one back), what is the probability that both are green?

3/5 or 60%

200

Find the mean, median, and mode of the numbers:

{0, 1, 5, 5, 6, 12, 13, 14}

Mean: 7

Median: 5.5

Mode: 5

200
What is the negation of the statement:


Nobody in this room is secretly a super-villain.

Somebody in this room is secretly a super-villain.
300

Solve for x:

3/x = 15/2


x = 2/5 or 0.4

300

How many different poker hands contain five cards of the same suit?

(Answer in terms of which numbers you'd multiply together)

52 * 12 * 11 * 10 * 9

300

If you are dealt a card from a standard deck, what is the probability that it is a heart and/or a king?

16/52 or 4/13 or ~30.77%

300

Give the five-number summary for the numbers:

{5, 1, 3, 6, 1, 2, 4}

(1, 1, 3, 5, 6)

300

If (the infamous criminal Salisbury Snake is home), then (their snake-car is in the driveway).

State the contrapositive of this logical implication.

If Salisbury Snake's snake-car is not in the driveway, then they are not home.

400

Solve for x:

x2 - 8 = 41 

x = 7 AND x = -7

400

How many committees of 5 can be chosen from 8 people?

56

400

You flip a coin, roll a 6-sided die, and are dealt a card from a standard deck of cards. What is the probability that the coin is heads, the die roll is even, and the card is a face card or an ace?

1/13 or ~7.69%

400

Marcus is about to show you a box and whisker plot in another window. Give the five-number summary for the data set represented by that plot.

(1, 3, 4, 5, 8)

400

A = {h, e, a, r, t}     B = {b, r, a, s, h}

State the largest set C such that C is a subset of both A and B

C = {h, a, r}

500

Solve for x:

2x + 2 = 8x

x = 1

500

Compute:

(10 - 2)! / (5!)(3!)

56

500

Imagine a game where you must pay $3 to roll two 6-sided dice. If the sum of the two rolled numbers is greater than 9, you win $19; otherwise, you win $1.

What is the expected value of playing the game once?

$1

500

The five-number summary of a set of data is (2, 7, 7, 10, 14)

What are the lowest and highest values that would not be outliers for this data set?

Lowest: 2.5

Highest: 14.5

500

What is the negation of the statement:

This morning I saw someone eat an egg and later I stopped to tie my shoe and I thought, "what an absolutely cool customer they were, just eating that egg like that."

Either I didn't see someone eat an egg this morning or I did not later stop to tie my shoe or I did not think, "what an absolutely cool customer they were, just eating that egg like that," or some combination of the three.