What is the number of degree rotations that a bicycle wheel made while rolling meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, is meters.

(2) The wheel made twenty degree rotations per minute.

In , what is the length of ?

(1) The length of is .

(2) The length of is an integer and the length of is .

What is the number of degree rotations that a motor scooter wheel made while rolling feet in a straight line without slipping?

(1) The area of the scooter wheel, including the tire, is square inches.

(2) The diameter of the scooter wheel, including the tire, is inches.

In the -plane shown, the shaded region consists of all points that lie above the graph of and below the -axis. Does the point (not shown) lie in the shaded region if ?

(1)

(2)

A certain car travels 18 miles per gallon of gas on city streets and 30 miles per gallon of gas on the highway. Damaris drives the car to work during the week and travels on city streets and on the highway. She drives the car on the highway more miles than she drives on city streets. How many miles does Damaris drive to work on the highway?

(1) Damaris drives a total of 26 miles to work.

(2) The car Damaris drives uses 1 gallon of gas to get to work.

In , what is the length of ?

(1) The length of is and the length of is .

(2) is a right triangle and is the hypotenuse.

denotes the least integer greater than or equal to . Is ?

(1)

(2)

denotes the greatest integer less than or equal to . Is ?

(1)

(2)

Machine folds boxes at a constant rate and can fold 300 boxes in 4 hours. Machine also folds boxes at a constant rate. How much less time would it take both machines running simultaneously to fold 300 boxes?

(1) Yesterday Machine folded 400 boxes and Machine folded 200 boxes.

(2) Machine folds boxes at a rate of 150 boxes in 4 hours.

Though looking less distinctive than many of their highly sought-after purebred counterparts, mixed-breed dogs, born from genetically disparate parents—they usually display various physical characteristics from each parent—often they are healthier and thus increasingly popular.

A right triangle has two legs of equal length. What is the triangle's perimeter in meters?

(1) The area of the triangle is 3 square meters.

(2) The hypotenuse of the triangle measures 3 meters.

In the -coordinate plane, which of the following points must lie on the line for all values of ?

In the -plane, what is the slope of the line ?

Reading more frequently is shown to help increase students’ reading levels. In early September, in order to increase students’ reading levels, Happy Hills Middle School instituted a policy of offering a small gift certificate to the local mall for every ten books a student read. By the end of May, the school had given out five times as many gift certificates as it had students, but students’ average reading levels were slightly lower than those of the classes before them had been at the end of their years.

Which of the following, if true, best helps to explain the apparent inconsistency in the results of the school’s policy?

During medieval times, Augustinian monks in Scotland are known to have used watercress as a means to combat scurvy and administered hemlock as a painkiller, revealing a detailed knowledge of the medicinal properties of herbs.

A quantity of substance weighing 2.83 milligrams, rounded to the nearest hundredth of milligram, was sold according to the latest market price per milligram. The sale totaled $18.66, rounded to the nearest cent. The actual price used in this sale, in dollars per milligram, must have been between

If , which must be greater than 1?

I.

II.

III.

If , which must be less than 1?

I.

II.

III.