Question 1

Which of the following inequalities is equivalent to 5 n + 4 < 19 ?

Accepted Answer

A) n  5 
D) n < 10

Question 2

What is the least whole number x for which 2 x > 11 ?

Accepted Answer

A) 5 
B) 6 
C) 9 
D) 22 
E) 23

Question 3

The remainder when a number n is divided by 7 is 2. Which of the following is the remainder when 2 n + 1 is divided by 7 ?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 4

From a shipment of 500 batteries, a sample of 25 was selected at random and tested. If 2 batteries in the sample were found to be dead, how many dead batteries would be expected in the entire shipment?

Accepted Answer

A) 10 
B) 20 
C) 30 
D) 40 
E) 50

Question 5

The first term in a sequence of numbers is 1/2. Each term after the first term is 1 more than twice its previous term. What is the 4th term?

Accepted Answer

A) 2 
B) 4 
C) 5 
D) 11 
E) 23

Question 6

Rosa is twice as old as Byron.Fred is one year older than Byron.If Fred's age is represented by F, which of the following represents the ages of Rosa and Byron, respectively?

Accepted Answer

A) ½ ( F - 1) and F - 1 
B) ½ ( F + 1) and F + 1 
C) 2 ( F - 1) and F - 1 
D) 2 ( F + 1) and F + 1 
E) 2 F and F - 1

Question 7

Which of the following containers has the greatest liquid capacity?(1 gallon = 4 quarts = 8 pints = 128 ounces)

Accepted Answer

A) A 64-ounce orange juice container 
B) A 16-pint water jug 
C) A 5-quart punch bowl 
D) A 2-quart cola bottle 
E) A 1-gallon milk bottle

Question 8

The town of Mayville taxes property at a rate of $42 for each $1,000 of estimated value. What is the estimated value of a property on which the owner owes $5,250 in property tax?

Accepted Answer

A) $42,000 
B) $47,250 
C) $125,000 
D) $220,500 
E) $5,250,000

Question 9

The principal of a high school would like to determine why there has been a large decline during the year in the number of students who buy food in the school?s cafeteria. To do this, 25 students from the school will be surveyed. Which method would be the most appropriate for selecting the 25 students to participate in the survey?

Accepted Answer

A) Randomly select 25 students from the senior class. 
B) Randomly select 25 students from those taking physics. 
C) Randomly select 25 students from a list of all students at the school. 
D) Randomly select 25 students from a list of students who eat in the cafeteria. 
E) Give the survey to the first 25 students to arrive at school in the morning.

Question 10

Henry is older than Bill, and Bill is older than Peter. Then

Accepted Answer

A) Henry is older than Peter. 
B) Henry is younger than Peter. 
C) Henry is the same age as Peter. 
D) there is not enough information given to tell which is true.

Question 11

Which number is between 1.8 and 1.9 ?

Accepted Answer

A) 0)189 
B) 0)198 
C) 1)83 
D) 1)93

Question 12

Suppose 4 r = 3 s = 10 t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?

Accepted Answer

A) 7 
B) 17 
C) 41 
D) 82 
E) 120

Question 13

The cost to mail a first-class letter is 33 cents for the first ounce. Each additional ounce costs 22 cents. (Fractions of an ounce are rounded up to the next whole ounce.) How much would it cost to mail a letter that weighs 2.7 ounces?

Accepted Answer

A) 55 cents 
B) 66 cents 
C) 77 cents 
D) 88 cents 
E) 99 cents

Question 14

The following statement is true: "If Sally goes to the movie, Mark will go also." Which statement below could NOT be true?

Accepted Answer

A) Sally and Mark both go to the movie. 
B) Sally goes to the movie and Mark does not go. 
C) Mark goes to the movie and Sally does not go. 
D) Neither Mark nor Sally goes to the movie.

Question 15

Which of the following is closest to the length of a car?

Accepted Answer

A) 1 foot 
B) 3 feet 
C) 10 feet 
D) 35 feet

Question 16

Of the following, which is the best unit to use when measuring the growth of a plant every other day during a 2-week period?

Accepted Answer

A) Centimeter 
B) Meter 
C) Kilometer 
D) Foot 
E) Yard

Question 17

Which of the following is NOT a property of every rectangle?

Accepted Answer

A) The opposite sides are equal in length. 
B) The opposite sides are parallel. 
C) All angles are equal in measure. 
D) All sides are equal in length. 
E) The diagonals are equal in length.

Question 18

A certain machine produces 300 nails per minute. At this rate, how long will it take the machine to produce enough nails to fill 5 boxes of nails if each box will contain 250 nails?

Accepted Answer

A) 4 min 
B) 4 min 6 sec 
C) 4 min 10 sec 
D) 4 min 50 sec 
E) 5 min

Question 19

It takes 64 identical cubes to half fill a rectangular box. If each cube has a volume of 8 cubic centimeters, what is the volume of the box in cubic centimeters?

Accepted Answer

A) 1,024 
B) 512 
C) 128 
D) 16 
E) 8

Question 20

What is 2/3 of 15 marbles?

Accepted Answer

A) 10 marbles 
B) 9 marbles 
C) 8 marbles 
D) 5 marbles

Exam 4: (ICE): Mathematics: Part C