Deck 3: (ICE): Mathematics: Part B

Question 1

Which of the following is always an odd integer?

A)The product of two odd integers
B)The product of two consecutive integers
C)The sum of three even integers
D)The sum of two odd integers
E)The sum of three consecutive integers

Answer 1

The product of two odd integers

Question 2

How many 200-milliliter servings can be poured from a pitcher that contains 2 liters of juice?

A)20
B)15
C)10
D)5
E)1

Answer 2

10

Question 3

The temperature in degrees Celsius can be found by subtracting 32 from the temperature in degrees Fahrenheit and multiplying the result by . If the temperature of a furnace is 393 degrees Fahrenheit, what is it in degrees Celsius, to the nearest degree?

A)649
B)375
C)219
D)201
E)187

Answer 3

201

Question 4

Li's English book weighs 3 pounds, her math book weighs 5 pounds, her history book weighs 4 pounds, and her science book weighs 6 pounds.How many different combinations of one or more books can Li pack in her backpack so that the total weight of the books is 12 pounds or less?

A)9
B)10
C)11
D)12
E)18

Question 5

An airplane climbs at a rate of 66.8 feet per minute. It descends at twice the rate that it climbs. Assuming it descends at a constant rate, how many feet will the airplane descend in 30 minutes?

A)96.8
B)133.6
C)1,002
D)2,004
E)4,008

Question 6

In the equation y = 4 x, if the value of x is increased by 2, what is the effect on the value of y ?

A)It is 8 more than the original amount.
B)It is 6 more than the original amount.
C)It is 2 more than the original amount.
D)It is 16 times the original amount.
E)It is 8 times the original amount.

Question 7

1 + 3=41 + 3 + 5 = 91+3 + 5 + 7 = 161 + 3 + 5+7 + 9 = 25According to the pattern suggested by the four examples above, how many consecutive odd integers are required to give a sum of 144 ?

A)9
B)12
C)15
D)36
E)72

Question 8

A certain 4-sided figure has the following properties.· Only one pair of opposite sides are parallel.· Only one pair of opposite sides are equal in length.· The parallel sides are not equal in length.Which of the following must be true about the sides that are equal in length?

A)They are perpendicular to each other.
B)They are each perpendicular to an adjacent side.
C)They are equal in length to one of the other two sides.
D)They are not equal in length to either of the other two sides.
E)They are not parallel.

Question 9

There were 90 employees in a company last year. This year the number of employees increased by 10 percent. How many employees are in the company this year?

A)9
B)81
C)91
D)99
E)100

Question 10

A rectangular playground has a perimeter of 390 feet. The width of the playground is 75 feet. What is its length?

A)5)2 feet
B)97.5 feet
C)120 feet
D)130 feet
E)240 feet

Question 11

The endpoints of a line segment are the points with coordinates (2, 1) and (8, 9). What are the coordinates of the midpoint of this line segment?

A)(2, 3½)
B)(3, 4)
C)(5, 5)
D)(4½, 5½)
E)(10, 10)

Question 12

Ms) Thierry and 3 friends ate dinner at a restaurant. The bill was $67. In addition, they left a $13 tip. Approximately what percent of the total bill did they leave as a tip?

A)10%
B)13%
C)15%
D)20%
E)25%

Question 13

Length can be measured to within 0.05 centimeter accuracy by using a certain type of measuring instrument. A reading of 3.7 centimeters on this instrument means that the actual length is at least

A)3)20 centimeters
B)3)65 centimeters
C)3)69 centimeters
D)3)70 centimeters
E)3)75 centimeters

Question 14

The cruise ship Titanic was 882 feet long. Which of the following is closest to that length?

A)Two moving-van lengths
B)Fifty car lengths
C)One hundred skateboard lengths
D)Five hundred school-bus lengths
E)One thousand bicycle lengths

Question 15

Of the following, which is the closest approximation of a 15 percent tip on a restaurant check of $24.99?

A)$2.50
B)$3.00
C)$3.75
D)$4.50
E)$5.00

Question 16

Anita is making bags of treats for her sister's birthday party. She divides 65 pieces of candy equally among 15 bags so that each bag contains as many pieces as possible. How many pieces will she have left?

A)33
B)5
C)4
D)3
E)0)33

Question 17

A car odometer registered 41,256.9 miles when a highway sign warned of a detour 1,200 feet ahead. What will the odometer read when the car reaches the detour? (5, 280 feet = 1 mile)

A)42,456.9
B)41,279.9
C)41,261.3
D)41,259.2
E)41,257.1

Question 18

Marlene made 6 batches of muffins. There were 24 muffins in each batch. Which of the following number sentences could be used to find the number of muffins she made?

A)6 x ? = 24
B)6 + 24 = ?
C)6 + ? = 24
D)6 x 24 = ?

Question 19

3 3 + 4(8 - 5) ÷ 6 =

A)6)5
B)11
C)27.5
D)29
E)34.16

Question 20

A certain reference file contains approximately one billion facts. About how many millions is that?

A)1,000,000
B)100,000
C)10,000
D)1,000
E)100

Question 21

Max bought 50 plants for his garden. He plans to put 8 plants in each row. How many complete rows of 8 can he plant?

A)6 rows
B)7 rows
C)8 rows
D)16 rows

Question 22

The difference between 85 and 53 is 32. Meredith added some number to 85 and then added the same number to 53. What would be the difference between the two new numbers?

A)More than 32
B)Less than 32
C)32
D)It depends on the number added to 85 and 53.

Question 23

Students in Mrs. Johnson's class were asked to tell why 4/5 is greater than 3/2 . Whose reason is best?

A)Kelly said, "Because 4 is greater than 2."
B)Keri said, "Because 5 is larger than 3."
C)Kim said, "Because 4/5 is closer than 3/2 to 1."
D)Kevin said, "Because 4 + 5 is more than 2 + 3."

Question 24

There are 15 girls and 11 boys in a mathematics class. If a student is selected at random to run an errand, what is the probability that a boy will be selected?

A)4/26
B)11/26
C)15/26
D)11/15
E)15/11

Question 25

If the price of a can of beans is raised from 50 cents to 60 cents, what is the percent increase in the price?

A)83.3%
B)20%
C)18.2%
D)16.7%
E)10%

Question 26

A loaded trailer truck weighs 26,643 kilograms. When the trailer truck is empty, it weighs 10,547 kilograms. About how much does the load weigh?

A)14,000 kilograms
B)16,000 kilograms
C)18,000 kilograms
D)36,000 kilograms

Question 27

A turkey is put in the oven at 10:30 a.m. If the turkey takes 2-3/4 hours to cook, at what time should it be taken out of the oven?

A)12:15 p.m.
B)12:45 p.m.
C)1:15 p.m.
D)1:45 p.m.

Question 28

The length of a rectangle is 3 feet less than twice the width, w (in feet). What is the length of the rectangle in terms of w ?

A)3 ? 2 w
B)2( w + 3)
C)2( w ? 3)
D)2 w + 3
E)2 w ? 3

Question 29

For a school report, Luke contacted a car dealership to collect data on recent sales. He asked, "What color do buyers choose most often for their car?" White was the response. What statistical measure does the response "white" represent?

A)Mean
B)Median
C)Mode
D)Range
E)Interquartile range

Question 30

Peter bought 45 sheets of plywood at a total cost of $400. He plans to sell each sheet of plywood for $15. If Peter has no other expenses, what is the fewest number of sheets he must sell to make a profit?

A)3
B)15
C)16
D)26
E)27

Question 31

The formula d = 16 t2 gives the distance d, in feet, that an object has fallen t seconds after it is dropped from a bridge. A rock was dropped from the bridge and its fall to the water took 4 seconds. According to the formula, what is the distance from the bridge to the water?

A)16 feet
B)64 feet
C)128 feet
D)256 feet
E)4,096 feet

Question 32

Mr) Hardt bought a square piece of carpet with an area of 39 square yards. The length of each side of this carpet is between which of the following?

A)4 yards and 5 yards
B)5 yards and 6 yards
C)6 yards and 7 yards
D)7 yards and 8 yards
E)9 yards and 10 yards

Question 33

In a contest, a prize of 2.72 million dollars was split equally among 32 winners. How much money did each of the 32 winners receive?

A)$0.085
B)$62,500
C)$62,502.25
D)$85,000
E)$850,000

Question 34

In which of the following are the three fractions arranged from least to greatest?

A)2/7,1/2,5/9
B)1/2,2/7,5/9
C)1/2,5/9,2/7
D)5/9,1/2,2/7
E)5/9,2/7,1/2

Question 35

Nick has a square piece of paper. He draws the two diagonals of the square, finds the point where they intersect, and labels that point A. Then he folds each of the four corners of the paper onto point A. What geometric shape is produced?

A)A square
B)A right triangle
C)An isosceles triangle
D)A pentagon
E)A hexagon

Question 36

The weight of an object is 1,700 pounds, rounded to the nearest hundred. Of the following, which could be the actual weight of the object?

A)1,640
B)1,645
C)1,649
D)1,749
E)1,751

Question 37

At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of them sold 152 hot dogs altogether. How many hot dogs did Carmen sell?

A)21
B)38
C)51
D)114
E)148

Question 38

The mean distance from Venus to the Sun is 1.08 x 10 8 kilometers. Which of the following quantities is equal to this distance?

A)10,800,000 kilometers
B)108,000,000 kilometers
C)1,080,000,000 kilometers
D)10,800,000,000 kilometers
E)108,000,000,000 kilometers

Question 39

Each of the 6 faces of a certain cube is labeled either R or S. When the cube is tossed, the probability of the cube landing with an R face up is 1/3.How many faces are labeled R ?

A)Five
B)Four
C)Three
D)Two
E)One

Question 40

Which of the following is equal to 6( x + 6) ?

A)x + 12
B)6x + 6
C)6x + 12
D)6x + 36
E)6x + 66

Question 41

The prices of gasoline in a certain region are $1.41, $1.36, $1.57, and $1.45 per gallon. What is the median price per gallon for gasoline in this region?

A)$1.41
B)$1.43
C)$1.44
D)$1.45
E)$1.47

Question 42

1, 9, 25, 49, 81, ...The same rule is applied to each number in the pattern above. What is the 6th number in the pattern?

A)40
B)100
C)121
D)144
E)169

Question 43

One of the acute angles in a right triangle measures 28 degrees. What is the measure, in degrees, of the other acute angle?

A)17°
B)28°
C)62°
D)90°
E)152°

Question 44

Jim has 3/4 of a yard of string which he wishes to divide into pieces, each 1/8 of a yard long. How many pieces will he have?

A)3
B)4
C)6
D)8

Question 45

A triangle that has sides with lengths 6, 6, and 10 is called

A)acute
B)right
C)scalene
D)isosceles
E)equilateral

Question 46

4, 8, 3, 2, 5, 8, 12What is the median of the numbers above?

A)4
B)5
C)6
D)7
E)8

Question 47

Fifteen boxes each containing 8 radios can be repacked in 10 larger boxes each containing how many radios?

A)8
B)10
C)12
D)80
E)120

Question 48

Consider the statement "If n is an even number, then n is two times an odd number." For which of the following values of n is the statement FALSE?

A)2
B)6
C)8
D)10
E)14

Question 49

The diameter of a red blood cell, in inches, is 3 × 10 -4. This expression is the same as which of the following numbers?

A)0)00003
B)0)0003
C)0)003
D)3,000
E)30,000

Question 50

Tetsu rides his bicycle x miles the first day, y miles the second day, and z miles the third day. Which of the following expressions represents the average number of miles per day that Tetsu travels?

A)x + y + z
B)xyz
C)3( x + y + z)
D)3( xyz)
E)( x + y + z)/3

Question 51

If 3 + w = b, then w =

A)b/3
B)b× 3
C)b + 3
D)3 - b
E)b - 3

Question 52

Which of the following ratios is equivalent to the ratio of 6 to 4?

A)12 to 18
B)12 to 8
C)8 to 6
D)4 to 6
E)2 to 3

Question 53

In a coordinate plane, the points (2,4) and (3,-1) are on a line. Which of the following must be true?

A)The line crosses the x-axis.
B)The line passes through (0,0).
C)The line stays above the x-axis at all times.
D)The line rises from the lower left to the upper right.
E)The line is parallel to the y-axis.

Question 54

3 + 15 ÷ 3 - 4 × 2 =

A)-9
B)-2
C)0
D)4
E)5

Question 55

If n represents an even number greater than 2, what is the next larger even number?

A)n + 1
B)2 n + 1
C)2 n
D)n + 2
E)n2

Question 56

(-5)(-7) =

A)-35
B)-12
C)-2
D)12
E)35

Question 57

Which of the following ordered pairs (x, y) is a solution to the equation 2x - 3y = 6?

A)(6, 3)
B)(3, 0)
C)(3, 2)
D)(2, 3)
E)(0, 3)

Question 58

A plumber charges customers $48 for each hour worked plus an additional $9 for travel. If h represents the number of hours worked, which of the following expressions could be used to calculate the plumber's total charge in dollars?

A)48 + 9 + h
B)48 x 9 x h
C)48 + (9 x h)
D)(48 x 9) + h
E)(48 x h) + 9

Question 59

Of the following, which is closest in value to 0.52?

A)1/50
B)1/5
C)1/4
D)1/3
E)1/2

Question 60

How many hours are equal to 150 minutes?

A)1-1/2
B)2-1/4
C)2-1/3
D)2-1/2
E)2-5/6

Question 61

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

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

Question 62

In the model town that a class is building, a car 15 feet long is represented by a scale model 3 inches long. If the same scale is used, a house 35 feet high would be represented by a scale model how many inches high?

A)45/35
B)3
C)5
D)7
E)35/3

Question 63

(2, 5), (4, 9), (6, 13)Which of the following describes what to do to the first number in each ordered pair shown above to obtain the corresponding second number?

A)Add 3
B)Subtract 3
C)Multiply by 2
D)Multiply by 2 and subtract 1
E)Multiply by 2 and add 1

Question 64

Kate bought a book for $14.95, a record for $5.85, and a tape for $9.70. If the sales tax on these items is 6 percent and all 3 items are taxable, what is the total amount she must pay for the 3 items, including tax?

A)$32.33
B)$32.06
C)$30.56
D)$30.50
E)$ 1.83

Question 65

Ground beef costs $2.59 per pound. What is the cost of 0.93 pound of ground beef?

A)$3.52
B)$2.78
C)$2.47
D)$2.41
E)$1.66

Question 66

What is the ratio of the length of a side of an equilateral triangle to its perimeter?

A)1:1
B)1:2
C)1:3
D)2:1
E)3:1

Question 67

You will need one piece labeled X, one piece labeled T, and one piece labeled R to answer this question. You will need one piece labeled X, one piece labeled T, and one piece labeled R to answer this question.Which of the pieces has an angle greater than a right angle?

A)Only X
B)Only R
C)Only T
D)Both R and T

Question 68

Marty has 6 red pencils, 4 green pencils, and 5 blue pencils. If he picks out one pencil without looking, what is the probability that the pencil he picks will be green?

A)1 out of 3
B)1 out of 4
C)1 out of 15
D)4 out of 15

Question 69

Which of the following equations has the same solution as the equation 2 x + 6 = 32 ?

A)2 x = 38
B)x ? 3 = 16
C)x + 6 = 16
D)2( x ? 3) = 16
E)2( x + 3) = 32

Question 70

Megan drew a rectangle that has an area of 24 square centimeters. Which of the following could be the dimensions of her rectangle?

A)2 centimeters by 12 centimeters
B)3 centimeters by 9 centimeters
C)4 centimeters by 20 centimeters
D)6 centimeters by 6 centimeters
E)12 centimeters by 12 centimeters

Question 71

In which of the following numbers is the digit 6 in the hundredths place?

A)682.3
B)382.6
C)6)832
D)4)836
E)2)862

Question 72

The school carnival committee sold a total of 200 tickets for the grand prize drawing. Sue bought enough tickets so that she had a 20 percent chance of winning the grand prize. How many tickets did Sue buy?

A)20
B)40
C)160
D)400
E)1,000

Question 73

If x = 2 n + 1, what is the value of x when n = 10?

A)11
B)13
C)20
D)21
E)211

Question 74

Which of the following types of graph would be best to show the change in temperature recorded in a city every 15 minutes over a 24-hour period?

A)Pictograph
B)Circle graph
C)Line graph
D)Box-and-whisker plot
E)Stem-and-leaf plot

Question 75

It costs $0.25 to operate a clothes dryer for 10 minutes at a laundromat. What is the total cost to operate one clothes dryer for 30 minutes, a second for 40 minutes, and a third for 50 minutes?

A)$3.25
B)$3.00
C)$2.75
D)$2.00
E)$1.20

Question 76

What is the greatest number of 30-cent apples that can be purchased with $5.00 ?

A)6
B)15
C)16
D)17
E)20

Question 77

If 15 + 3 x = 42, then x =

A)9
B)11
C)12
D)14
E)19

Question 78

Of the following, which is the best estimate for the area of a typical classroom floor?

A)700 feet
B)700 square feet
C)700 cubic feet
D)700 yards
E)700 square yards

Question 79

Tammy scored 52 out of 57 possible points on a quiz. Which of the following is closest to the percent of the total number of points that Tammy scored?

A)0)91%
B)1)10%
C)52%
D)91%
E)95%

Question 80

Which of the following numbers is five million, eighty thousand?

A)5,800,000
B)5,008,000
C)5,000,008
D)5,080,000
E)580,000