DRILL 3

Question 1

Shares of XYZ Co and ABC Corp are sold on a stock exchange that closes at 5 p.m. each day. At the close of business on Monday, shares of XYZ Co sold for half the price of shares of ABC Corp. On Tuesday and Wednesday, the price of shares of XYZ Co decreased at a rate of per day. During that same period, shares of ABC Corp increased at a rate of per day. At the close of business on Wednesday, the price of shares of ABC Corp was how many times greater, rounded to the nearest integer, than the price of shares of XYZ Co?

Question 2

A model rocket takes off from an elevated launch pad 9 feet above the ground. The ­rocket’s elevation follows the function h = −2t² + 12t + 9, where h represents the height after t seconds. Which of the following ­ordered pairs (t, h) could be the rocket’s height at a given time?

Indicate all such pairs.

    (1, 19)

    (2.5, 24.5)

    (3, 28)

    (4, 25)

    (5.5, 14.5)

    (6, 9)

    (7, 1)

Question 3

If a + b = 15 and 2a − b = 6, what is the value of b?

    6

    7

    8

    9

    10

Question 4

If the perimeter of a rectangle is 24 and the length is twice the width, what is the length of the rectangle?

    4

    5

    6

    8

    12

Question 5

Betty sold of her family’s garage sale items. Ernest sold of the remaining items. What fraction of the family’s garage sale items did Ernest sell?

Question 6

In Seattle, the total rainfall in a certain year was 37 inches. From April to October of that year, the average rainfall was approximately 1.7 inches per month. What was the average rainfall, in inches, for the remaining months of the year?

    2

    3.1

    4

    5

    7.1

Question 7

In a certain game, players have three chances during each turn to earn points. Each consecutive win awards more points than the previous win. The second win awards 100 points more than the first, and the third win awards twice as many points as the second win. Tammy won the maximum number of points during her turn and received a total of 700 points. How many points are awarded for the first win?

      50

      75

    100

    200

    400

Question 8

12x + 3 − (4 − 4x)

The above expression will equal an integer if x equals all of the following EXCEPT

Indicate all such statements.

    −

       0

       

       

Question 9

G is the sequence of numbers g₁, g₂, g₃…g_n such that each term following the first is one more than two times the preceding term. If g₂ + g₄ = 30, what is the first term in the sequence?

    

    1

    

    

    

Question 10

Nelson bowled 4 games and scored an average of 120 points. What score could he receive on his fifth game if he wants to have an overall average that is a multiple of 7, his favorite number?

Indicate all such scores.

      80

    110

    155

    185

Question 11

Wendy, Yvonne, and Elizabeth are baking cookies for a bake sale. Wendy can bake all of the cookies in 10 hours, Yvonne can bake half of the cookies in 3 hours, and Elizabeth can bake a third of the cookies in 5 hours. If Wendy and Elizabeth bake for 2 hours, how long will it take Yvonne to finish baking the rest of the cookies?

    1.8

    2

    3

    3.6

    4

Question 12

Mark has twice as many oranges as George. Tony has 10 less than twice the sum of George and Mark’s oranges. If Tony were to give 15 oranges to George and 5 oranges to Mark, George and Mark would each have half the number of oranges Tony had originally. How many oranges did George have ­originally?

    10

    15

    20

    25

    50

Question 13

Katherine drank 25 percent of her bottle of soda on the way to work, and drank another 3 ounces when she got there. The bottle now contains 60 percent of what it contained originally. How many ounces of soda did Katherine’s bottle originally hold?

      4

      8

    10

    16

    20