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Last year a certain school offered three different math classes for juniors: algebra, geometry, and statistics. Of a total of 24 students enrolled in these math classes, 12 students were enrolled in algebra, 8 students were enrolled in geometry, and 6 students were enrolled in both algebra and geometry. If no student who was enrolled in statistics was enrolled in algebra or geometry, how many students were enrolled in statistics?_____ _____students
A list consists of 12 consecutive even integers and 12 consecutive odd integers such that the greatest even integer is 11 more than the greatest odd integer. What is the range of the integers in the list?
The sum of two numbers divided by 2, gives a result of 24 and their difference divided by 2 gives a result of 17. The product of these two numbers is divisible by which of the following?
Four people, including Ito and Kenji, are to be assigned to 3 offices. Two of the offices can accommodate only 1 person and the other office can accommodate 2 persons. If Ito and Kenji cannot be assigned to the same office,how many different assignments of the 4 people to the offices are possible?
A marine biologist recorded the lengths of 115 fish. The median of the recorded lengths is 60 centimeters. Which of the following statements must be true?

Indicate all such statements.
In a distribution of 1,300 different positive numbers, 65.1 is at the 54th percentile and 63.8 is at the 4th percentile. Approximately how many of the numbers in the distribution are greater than 65.1?
When driving a car at a constant speed of 50 miles per hour the driver decided to apply the brake. How many feet did the car travel during the $$\frac{3}{4}$$ second that elapsed between the time the driver decided to apply the brake and the time the driver actually started to apply the brake? (1 mile=5,280 feet)

_____feet
In the xy-plane (not shown), a right triangle has its right angle at the origin and has its hypotenuse along the line y=7x-1. If none of the sides of the triangle are vertical, what is the product of the slopes of the three sides of the triangle?
The random variable K is normally distributed with mean 98 and standard deviation 4. The random variable L is normally distributed with mean 140 and standard deviation 6.

Quantity A

The percentile rank of the value 105 in the distribution of K

Quantity B

The percentile rank of the value 149 in the distribution of L


Quantity A

The perimeter of a rectangular region that has an area of 20

Quantity B

20


Nancy invested $5,000 for x years at an annual interest rate of 6 percent, compounded annually.

David invested $6,000 for y years at an annual interest rate of 6 percent, compounded semiannually.

Quantity A

The total amount of interest that Nancy`s investment earned

Quantity B

The total amount of interest that David`s investment earned


Working continuously for a total of 120 hours, a machine first assembled x units of product A and then assembled y units of product B. where x and y are positive integers. It took the machine 3 hours to assemble each unit of product A and 5 hours to assemble each unit of product B. Which of the following could be the total number of units of product A and product B that the machine assembled in the 120 hours?

Indicate all such numbers.


In quadrilateral ABCD, AB=BC=BD and the measure of angle ABC is 60 degrees What is the measure of angle ADC?
A survey of 300 travelers was taken at an airport. Of these travelers 90 percent were traveling on Airline A. Of those who were traveling on Airline A, 30 percent had first-class seats. Which of the following statements must be true about the 300 travelers?

Indicate all such statements.


In the xy-plane shown, the x-axis represents an east-west road, the y -axis represents a north-south road, and the origin represents the intersection of the two roads. Point A and point B represent the centers of Town A and Town B, respectively, and the center of Town A is 5 kilometers north of the intersection. If the line through the origin and point B has slope $$\frac{3}{4}$$, which of the following is closest to the distance, in kilometers, between the centers of Town A and Town B?

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