Question 1

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

Accepted Answer

$1.45

Question 2

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

Accepted Answer

$1,061.52

Question 3

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?
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.

Accepted Answer

Randomly select 25 students from a list of all students at the school.

Question 4

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?
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

Accepted Answer

More than 10 months.

Question 5

If a 2 by 18 rectangle has the same area as a square, what is the length of a side of the square?
A)4
B)6
C)8
D)10
E)12

Accepted Answer

6

Question 6

If the digit in the tens place of 37,241 is increased by one and the digit in the thousands place is decreased by one, how has the number been changed?
A)The number has been decreased by 990.
B)The number has been decreased by 1,000.
C)The number has been decreased by 1,010.
D)The number has been increased by 10.
E)The number has been increased by 1,010.

Accepted Answer

The number has been decreased by 990.

Question 7

Which of the following pairs of geometric figures must be similar to each other?
A)Two equilateral triangles
B)Two isosceles triangles
C)Two right triangles
D)Two rectangles
E)Two parallelograms

Accepted Answer

Two equilateral triangles.

Question 8

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

Accepted Answer

11

Question 9

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?
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

Accepted Answer

2 ( F - 1) and F - 1

Question 10

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

Accepted Answer

A property with a tax of $5,250 would be valued at $125,000. This can be solved with a ratio, in which $5,250 is 0.42% of the total estimated value of the property. This is calculated directly from the tax rate, which is $42/$1000, or a rate of 0.042.

Question 11

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

Accepted Answer

42

Question 12

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

Accepted Answer

4 min 10 sec.

Question 13

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

Accepted Answer

Multiplying 40 by 2

Question 14

Which of the following is closest to the height of the door to your classroom?
A)1 meter
B)2 meters
C)4 meters
D)7 meters

Accepted Answer

2 meters.

Question 15

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

Accepted Answer

40

Question 16

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

Accepted Answer

1,024

Question 17

If a measurement of a rectangular box is given as 48 cubic inches, then the measurement represents the
A)distance around the top of the box
B)length of an edge of the box
C)surface area of the box
D)volume of the box

Accepted Answer

volume of the box.

Question 18

What percent of 175 is 7 ?
A)4%
B)12.25%
C)25%
D)40%

Accepted Answer

4%

Question 19

Which of the following expressions is NOT equivalent to (a + b)(x+y) ?
A)(a + b)x + (a + b)y
B)a(x + y) + b(x+y)
C)(b + a)(y + x)
D)ax + by
E)ax + bx + ay + by

Accepted Answer

ax + by

Question 20

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

Accepted Answer

A 16-pint water jug.

Quiz 4: (ICE): Mathematics: Part C

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?

If a 2 by 18 rectangle has the same area as a square, what is the length of a side of the square?

If the digit in the tens place of 37,241 is increased by one and the digit in the thousands place is decreased by one, how has the number been changed?

Which of the following pairs of geometric figures must be similar to each other?

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?

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?

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?

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?

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?

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

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

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?

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?

If a measurement of a rectangular box is given as 48 cubic inches, then the measurement represents the

What percent of 175 is 7 ?

Which of the following expressions is NOT equivalent to (a + b) (x+y) ?

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