If O is the center of the circle above, what fraction of the circular region is encompassed by an angle of x degrees?

S = {2, 3, 4, 6} T = {2, 3, 4, 6}

Two integers will be randomly selected from the sets above, one integer from set S and one integer from set T. What is the probability that the product of the two integers will equal 12?

If  is the product of the even integers from 10 to 20, inclusive, what is the greatest integer  for which  is a factor of ?

Which of the following is equivalent to the pair of inequalities $y+8>9$ and $y-2\le 1$?

In the coordinate plane, a circle has center (−1, −3) and passes through the point (4, 2). What is the circumference of the circle?

The rates of import tax on six of the last seven items Leo imported were 13%, 16%, 11%, 17%, 12%, and 14%, respectively. If the tax rate on the seventh item was either 17%, 15%, or 14%, for which of the three values does the average (arithmetic mean) tax rate per item for the seven items equal the median tax rate for the seven items?

I. 17% II. 15% III. 14%

One person bought 3 packages of fresh fish costing an average (arithmetic mean) of $12.40, and another person bought 6 packages of fresh fish costing an average of $15.25. What was the average cost, rounded to the nearest cent, of all of the packages of fresh fish?

Ten percent of the members of a class are in the skiing club. Among the members of the class who are not in the skiing club, 40 have previously skied in their lives and 41 have never skied. How many members are there in the class?

A family had a goal to save $1,890 over the course of a year by making equal monthly deposits into a savings account. At the end of the fourth month, the total amount the family had saved was $687. By how much was the actual savings more than the planned savings?

A game is played with a six-sided, regularly numbered die. The player starts with a number equal to 0.1n, where n is an integer between 1 and 6, inclusive. On each of 20 subsequent rolls, if the number rolled times 0.1 is greater than or equal to the player's current number, the player's current number is incremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is odd, the player's number is decremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is even, the player's number is unaffected. If 55% of the die rolls in a particular game are even, which of the following is a possible final value of that game?

I. 0.8 II. 0.5 III. 0.1

What is the approximate length, in inches, of the diagonal of a square of an area of 200 square inches?

In an increasing sequence of 8 consecutive odd integers, the sum of the first 4 integers is 656. What is the sum of the last 4 integers in the sequence?

$n,m,p,q,r$

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of letters shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. $3n,3m,3p,3q,3r$ II. $n-2,m-2,p-2,q-2,r-2$ III. $n^3,m^3,p^3,q^3,r^3$

On the Richter scale for measuring earthquake strength, an earthquake with a given reading on the scale is 10 times stronger than an earthquake with a reading of 1 less on the scale. If earthquake A measures 2 on the scale and earthquake B is 1,000 times stronger than earthquake A, how does earthquake B measure on the scale?

The dots on the graph above indicate number of months worked (on the x-axis) and the number of clients (on the y-axis) for the members of a service team. How many team members have worked at least one year and have more than 36 clients?

A box contains b blue balls and r red balls. If 4 blue balls and 3 red balls are added to the box, and if one ball is obtained at random from the box, then the probability that a blue ball is obtained can be represented by

On January first, Jamie did 1 sit-up. On each of the next 364 days, she did 1 more sit-up than on the preceding day. What was the total number of sit-ups she did over the 365 days?

A company's cash reserves held $10,000, and the reserves were spent and not replenished at a daily average of $1 each day over ten days. What percent of the original reserves was spent during this period?

Four integers are randomly chosen from the set {-1, 0, 1}, with repetitions allowed. What is the probability that the product of the four integers chosen will be its least value possible?

At a city council meeting, one attendee is to be selected at random to be a tiebreaker. What is the probability that the person chosen is retired?

1. One-third of the attendees are retired.
2. Twenty-four of the attendees are not retired.