Question 1

If a triangle is equilateral, which of the following must be true?

Accepted Answer

A) Only two sides are equal. 
B) All sides are equal. 
C) All angles are right angles. 
D) All angles have different degree measures.

Question 2

An election involving four candidates for mayor has been held. Of the following, which is the best way to present the percentage of votes each candidate received?

Accepted Answer

A) Circle graph 
B) Line graph 
C) Box plot 
D) Scatterplot 
E) Histogram

Question 3

Cos 2(3 x) + sin 2(3 x) =

Accepted Answer

A) 0 
B) 1 
C) 3 
D) 6 
E) 9

Question 4

Ken bought a used car for $5,375. He had to pay an additional 15 percent of the purchase price to cover both sales tax and extra fees. Of the following, which is closest to the total amount Ken paid?

Accepted Answer

A) $806 
B) $5,510 
C) $5,760 
D) $5,940 
E) $6,180

Question 5

Which of the following is closest to the height of the door to your classroom?

Accepted Answer

A) 1 meter 
B) 2 meters 
C) 4 meters 
D) 7 meters

Question 6

If x = -4, the value of -4 x is

Accepted Answer

A) -16 
B) -8 
C) 8 
D) 16

Question 7

The average weight of 50 prize-winning tomatoes is 2.36 pounds. What is the combined weight, in pounds, of these 50 tomatoes?

Accepted Answer

A) 0)0472 
B) 11.8 
C) 52.36 
D) 59 
E) 118

Question 8

A savings account earns 1 percent interest per month on the sum of the initial amount deposited plus any accumulated interest. If a savings account is opened with an initial deposit of $1,000 and no other deposits or withdrawals are made, what will be the amount in this account at the end of 6 months?

Accepted Answer

A) $1,060.00 
B) $1,061.52 
C) $1,072.14 
D) $1,600.00 
E) $6,000.00

Question 9

A rectangular pool 24 feet long, 8 feet wide, and 4 feet deep is filled with water. Water is leaking from the pool at the rate of 0.40 cubic foot per minute. At this rate, how many hours will it take for the water level to drop 1 foot?

Accepted Answer

A) 4 
B) 8 
C) 12 
D) 16 
E) 32

Question 10

The population of the United States is approximately 250 million, and the national debt is approximately 4 trillion dollars. If this debt were divided equally among the population, what would be the debt, in dollars, per person?

Accepted Answer

A) 16 
B) 1,600 
C) 16,000 
D) 1,600,000 
E) 16,000,000

Question 11

The length of a rectangle is 3 more than its width. If L represents the length, what is an expression for the width?

Accepted Answer

A) 3 -]> 
<![CDATA[L?3 
B) L + 3 
C) L - 3

Question 12

What are all values of x such that x2 + 7 x + 6 = 0 ?

Accepted Answer

A) -6 = x = -1 
B) -6 = x = 1 
C) 1 = x = 6 
D) x = -6 or x = -1 
E) x = 1 or x = 6

Question 13

The least common multiple of 8, 12, and a third number is 120. Which of the following could be the third number?

Accepted Answer

A) 15 
B) 16 
C) 24 
D) 32 
E) 48

Question 14

Which of the following decimals represents 15%?

Accepted Answer

A) 15. 
B) .15 
C) 1.5 
D) 1500

Question 15

If each of the counting numbers from 1 through 10 is multiplied by 13, how many of the resulting numbers will be even?

Accepted Answer

A) One 
B) Four 
C) Five 
D) Six 
E) Ten

Question 16

Which of the following is true about 200% of 30 ?

Accepted Answer

A) It is 1/2 times 30. 
B) It is 2 times 30. 
C) It is 200 times 30. 
D) It is 200 times greater than 30.

Question 17

1 gallon = 4 quarts1 quart = 2 pintsThe number of pints in 10 gallons could be determined by performing which of the following operations?

Accepted Answer

A) Multiplying 10 by 2 
B) Dividing 10 by 6 
C) Multiplying 10 by 6 
D) Dividing 40 by 2 
E) Multiplying 40 by 2

Question 18

The perimeter of a square is 36 centimeters. What is the area of the square?

Accepted Answer

A) 6 square cm 
B) 9 square cm 
C) 18 square cm 
D) 81 square cm

Question 19

A quarter is flipped 50 times. Which of the following is most likely to be the number of times heads comes up?

Accepted Answer

A) 2 
B) 3 
C) 11 
D) 26 
E) 50

Exam 4: (ICE): Mathematics: Part C