DRILL 2

Question 1

The New Age Entertainment Company produces x mood rings at a cost, in cents, of 80x + 9,000. These x mood rings can be sold for a price, in cents, of 260x. What is the least value of x for which the New Age Entertainment Company does not lose money?

    107

      82

      63

      51

      50

Question 2

Let S be a point on a circle whose center is R. If PQ is a chord that passes perpendicularly through the midpoint of RS, then the length of arc PSQ is what fraction of the circle’s circumference?

    

    

    

    

    

Question 3

At a particular zoo, of all the animals are mammals, and of the mammals are allowed to interact directly with the public. If 24 mammals are allowed to interact directly with the public, how many animals in this zoo are NOT mammals?

    36

    48

    54

    60

    72

Question 4

In the figure above, the letters L, M, and N denote the areas of the semicircular regions whose diameters are the sides of the triangle, as shown. What is the value of

    

    

    1

    

    2

Question 5

A square region has an area of b square inches and a perimeter of n inches. If n = what is the length, in inches, of the side of the square?

    12

    12

    48

    48

    144

Question 6

The figure above shows four adjacent small squares, forming one large square. The vertices of square RSTU are midpoints of the sides of the small squares. What is the ratio of the area of RSTU to the area of the large outer square?

    

    

    

    

    

Question 7

In the figure above, an equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the triangle?

    

    

    

    3

    

Question 8

If = 1, then x =

    −2

    −

       1

      

       2

Question 9

The figure above shows a rectangle inscribed within a square. How many times greater is the perimeter of the square than the perimeter of the inscribed rectangle?

    

    

    2

    2

    It cannot be determined from the information given.

Question 10

For which of the following values of x is between 0 and 4?

    1

    2

    3

    4

    5

    6

Question 11

The New Gotham Department of Transit is taking an inventory of its vehicles. There are three times as many buses as train cars. 20 percent of the buses are powered by alternative fuels, of which 40 percent are powered by biofuels, 20 percent by hydrogen, and the remainder by natural gas. 25 percent of train cars are less than 5 years old, which is half the rate for natural gas buses. What percentage of New Gotham’s vehicles are natural gas buses that are at least 5 years old?

Question 12

At Alex’s Burger Palace, customers can purchase 2 veggie burgers and 2 shakes for $6.50. Customers can also purchase 2 veggie burgers and 2 beef burgers for $7.00. Which of the following could be accurate assignments of price to food item?

Indicate all such statements.

    veggie burger: $2.25, shake: $1.00

    veggie burger: $2.25, beef burger: $1.75

    veggie burger: $2.00, shake: $1.25

    beef burger: $1.75, shake: $1.25

    veggie burger: $2.25, shake: $1.25

Question 13

Note: Figure not drawn to scale

The radius of Circle Q is 8. If length of arc ABC is greater than 26, which of the following could be the value of the sums of angles AQB and BQC?

Indicate all such statements.

      45°

      60°

      90°

    150°

    180°

    240°

    270°