PITA and Hidden Plug-In Drill

DRILL 1

Question 1

A new release DVD rental costs d dollars for 1 day and $5.00 for each additional day. The first two days of standard release rental costs $3.00 less than the first day of a new release rental, and $2.25 for each day thereafter. Carl rented two new releases and one standard release for five days and it cost him $61.75. What is the value of d?

    $5.25

    $4.50

    $5.25

    $6.00

    $6.75

Question 2

If 3 less than twice a certain number is equal to 2 more than 3 times the number, then 5 less than 5 times the number is

    −30

    −20

      −5

         0

       20

Question 3

A sports league encourages collaboration by awarding 3 points for each goal scored without assistance and 5 points for each goal scored with assistance. A total of 48 points were scored by a team in a single game. Which of the following CANNOT be the number of goals scored without assistance by this team in this game?

      1

      6

    11

    12

    16

Question 4

Melinda and Shirley worked together to make hamburger patties. Shirley worked for 1 hour and 45 minutes, Melinda worked for 45 minutes, and they split their earnings according to the amount of time each spent working. Melinda’s hourly rate, however, is twice that of Shirley’s. If the two together earned $48.75, what was Shirley’s hourly rate?

    $15

    $20

    $25

    $30

    $35

Question 5

The 200 seventh graders at John Witherspoon Middle School raised 80% of the funds needed for a field trip. The school donated the remaining 20%. When they went to purchase the tickets, however, they were given a 10% bulk rate discount after a $20 processing fee. Faced with an unexpected surplus the students chose to buy each member of the class one cookie and were still left with $18, which they gave to the bus driver. If each of the cookies cost $0.30, how much did the trip cost the school?

      $40

      $80

    $120

    $160

    $200

Question 6

The figure above shows a circle inscribed in a square which is in turn inscribed within a larger circle. What is the ratio of the area of the larger circle to that of the smaller circle?

    

    

    

    2

    

Question 7

At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters combined get of the money, the manager receives and the busboy receives the remainder. If 1 waiter and the busboy together receive $30, how much money was earned in tips for the entire shift?

    $90

    $96

    $108

    $120

    $180

Question 8

If , then x is

    −3

    0

    

    3

    any non-negative real number

Question 9

If n is positive, and mn = 9, then m =

    

    

    

    6

    

Question 10

During a sale, the original price of a garment is lowered by 20%. Because the garment did not sell, its sale price was reduced by 10%. The final price of the garment could have been obtained with a single discount by x% from the original price, where x =

    25

    26

    27.5

    28

    30

Question 11

At Betty’s Bagels, bagels normally cost x each, but with purchases of each dozen the customer receives a discount of 1.40 dollars. Billy buys 56 bagels and calculates that he spends an average of 90 cents per bagel. What is the value of x?

    $1.00

    $1.40

    $1.60

    $2.20

    $2.75

Question 12

A bookstore stocks of its books as fiction works, and less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?

    

    

    

    

    

Question 13

Reservoir A contains 450 million gallons of water more than does Reservoir B. If 100 million gallons of water were to be drained from Reservoir A into Reservoir B, then Reservoir A would contain twice as much water as would Reservoir B. How many million gallons of water does Reservoir A currently contain?

    500

    600

    700

    800

    900