Question 1

Easy Ride Van Company finds that about 40 percent of the time a person who makes an advance reservation for transportation does not keep the reservation. Therefore, for each of their 10-passenger vans, the Easy Ride Van Company schedules 13 persons on the basis of advance reservations.Based on the information above, about how many riders out of the 13 scheduled would not keep their reservations?

Accepted Answer

A)  1
B)  3
C)  5
D)  7
E)  9 C

Question 2

2x + 3y + 4x =

Accepted Answer

A)  9xy
B)  9x 2y
C)  5xy + 4x
D)  6x + 3y D

Question 3

A cat lies crouched on level ground 50 feet away from the base of a tree. The cat can see a bird's nest directly above the base of the tree. The angle of elevation from the cat to the bird's nest is 40°. To the nearest foot, how far above the base of the tree is the bird's nest?

Accepted Answer

A)  32
B)  38
C)  42
D)  60
E)  65 C

Question 4

A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list?

Accepted Answer

A)  The highest salary
B)  The range
C)  The mean
D)  The median
E)  The standard deviation

Question 5

In a school fund-raiser, 10 students in class A sold an average (arithmetic mean) of 4 boxes of cookies. In class B, 15 students sold an average of 9 boxes. What was the average number of boxes of cookies sold by the 25 students?

Accepted Answer

A)  13/25
B)  1
C)  6-1/2
D)  7
E)  13-6/13

Question 6

A scale drawing of a rectangular room is 5 inches by 3 inches. If 1 inch on this scale drawing represents 3 feet, what are the dimensions of the room?

Accepted Answer

A)  5 feet by 3 feet
B)  5 feet by 9 feet
C)  15 feet by 3 feet
D)  15 feet by 5 feet
E)  15 feet by 9 feet

Question 7

What is the difference between the smallest positive 3-digit number and the largest positive 2-digit number?

Accepted Answer

A)  1
B)  9
C)  10
D)  90
E)  900

Question 8

Which of these numbers is a prime number?

Accepted Answer

A)  15
B)  23
C)  34
D)  56

Question 9

9 is 12% of what number?

Accepted Answer

A)  .75
B)  1.08
C)  75
D)  108

Question 10

Which of the following is both a multiple of 3 and a multiple of 7?

Accepted Answer

A)  7,007
B)  8,192
C)  21,567
D)  22,287
E)  40,040

Question 11

A particular flu vaccine is effective for 90 percent of the patients who receive it. What is the probability that it will be effective for both of the next two randomly selected patients?

Accepted Answer

A)  0) 54
B)  0) 63
C)  0) 72
D)  0) 81
E)  0) 90

Question 12

Carlos' basketball team won 75% of its games last season. If they played 80 games, how many games did they win?

Accepted Answer

A)  20
B)  60
C)  68
D)  75

Question 13

In the xy-plane, a line parallel to the x-axis intersects the y-axis at the point (0, 4). This line also intersects a circle in two points. The circle has a radius of 5 and its center is at the origin. What are the coordinates of the two points of intersection?

Accepted Answer

A)  (1, 2)  and (2, 1) 
B)  (2, 1)  and (2, -1) 
C)  (3, 4)  and (3, -4) 
D)  (3, 4)  and (-3, 4) 
E)  (5, 0)  and (-5, 0)

Question 14

15 is 25% of what number?

Accepted Answer

A)  0) 60
B)  3) 75
C)  37.5
D)  60

Question 15

The manager of a company has to order new engines for its delivery trucks after the trucks have been driven 150,000 miles. One of the delivery trucks currently has 119,866 miles on it. This truck has the same delivery route each week and is driven an average of 40,000 miles each year. At this rate, the manager should expect this truck to reach 150,000 miles in approximately how many months?

Accepted Answer

A)  Less than 4 months
B)  Between 4 and 6 months
C)  Between 6 and 8 months
D)  Between 8 and 10 months
E)  More than 10 months

Question 16

If the diameter of a circle is 30 centimeters, what is the radius of the circle?

Accepted Answer

A)  10 cm
B)  15 cm
C)  60 cm
D)  90 cm
E)  180 cm

Question 17

Which of the following pieces of information would NOT be useful in deciding what type of car is the most economical to drive?

Accepted Answer

A)  Median income of drivers
B)  Range of insurance costs
C)  Average miles per gallon
D)  Typical cost of repairs per year
E)  Cost of routine maintenance

Question 18

Yvonne has studied the cost of tickets over time for her favorite sports team. She has created a model to predict the cost of a ticket in the future. Let C represent the cost of a ticket in dollars and y represent the number of years in the future. Her model is as follows.C = 2.50 y + 13Based on this model, how much will the cost of a ticket increase in two years?

Accepted Answer

A)  $5
B)  $8
C)  $13
D)  $18
E)  $26

Question 19

Pencils sell individually for $0.07 each or in packs of 12 for $0.79 per pack. How much is saved when 24 pencils are purchased by the pack instead of individually?

Accepted Answer

A)  $0.01
B)  $0.05
C)  $0.10
D)  $0.72
E)  $1.44

Question 20

The postal rate is 25 cents for the first ounce and 20 cents for each additional ounce or part of an ounce. What would it cost to mail a package that weighs 6.8 ounces?

Accepted Answer

A)  $1.25
B)  $1.40
C)  $1.45
D)  $1.70
E)  $1.75

Exam 4: (ICE): Mathematics: Part C