CORE PRACTICE TEST #2
56 questions
You have 85 minutes.
1) Ten cards are marked with one of the following numbers on it:
2, 3, 4, 5, 9, 10, 11, 13, 15, 17. If a card is picked at random, what is the probability
that it will have a prime number on it? Express your answer as a fraction.
2) 93x is equivalent to 
Indicate all that apply.
a)  3 
6x
b) 9 x  92x
c)  27 
x
d)  27 
3x
e)  27 
9x
3) A bag contains only red, white, and blue marbles. Seven of them are red and nine
of them are white. If the probability of picking a red marble is 1/12, how many blue
marbles are in the bag?
a) 9
b) 19
c) 27
d) 68
e) 85
4) Solve the inequality for x. Choose all that apply.
4x – 5 > 61
a) 16
5)
b) 16.5
c) 17
d) 17.5
e) 18
Which of the following is true?
a) 3  3 72  4
b) 4  3 72  5
d) 7  3 72  8
e) 7  3 72  8
6) If y 
a) y 
c) 5  3 72  6
1
1
x and x  z, what is the relationship between y and z?
2
9
1
z
11
b) z  18y
c) y 
1
z
7
d) z  11y
e) y  18z
7) Taylor rips a 9 in. by 12 in. magazine page neatly in half forming two congruent
pieces. What shape could these pieces be? Choose all that apply.
a) Rectangle
b) Rhombus
c) Square
d) Trapezoid
e) Triangle
8) A roller coaster travels along a path modeled by the equation:
h  167  16t2 for 0  t  2 where h represents the height of the coaster
and t represents the time it is on the tracks. If the coaster begins at the top of the
hill, how tall is the coaster?
a) 167
b) 151
c) 135
d) 11
e) 5
9) Dawn wants to put a circular rug onto the floor that is a rectangle with dimensions
12 ft. by 15 ft. What is the approximate area of the largest rug that will fit into the
room?
a) 25
b) 44
c) 78.5
d) 104
e) 113
10) Jack is measuring the thickness of one of his coins in his collection. He says
that it is 2 units thick. Which of the following would be the correct unit of
measurement?
a) kilometers
b) meters
c) inches
d) centimeters
A
25
B
15
C
11) What is the length of AB in the right triangle above?
a) 8
b) 12
c) 20
d) 25
e) 30
e) millimeters
12) Which figure would represent a cross-section that is parallel to the base of the
pyramid above?
a) square
b) rhombus
c) circle
d) triangle
e) trapezoid
13) Which graph represents the equation: 3x – y = 2?
a)
b)
c)
4
4
4
2
2
2
4
2
2
4
4
2
2
2
4
d)
4
e)
4
4
2
2
2
4
2
4
2
2
4
4
14) Which of the following is not a statistical measure?
a) The age of a congressman.
b) The height of a basketball player.
c) The year the U.S. Capitol dome was completed.
d) The weight of a football player on the Denver Broncos.
e) The birthday of a teacher.
2
4
15) The formula for volume of a pyramid is:
1
V  Bh where B represents the area of the base and h represents the height.
3
Find the volume of this pyramid:
10
18
16) Find the value of x:
x
5
5
5
a) 5 2
b) 5 3
c) 5 5
d) 5 7
e) 5 11
17) The price of a microwave decreased from $192 to $98. What was the percent
decrease?
a) 37%
b) 42%
c) 49%
d) 53%
e) 57%
R(2, 7)
S(6, 3)
18) If the segment RS is reflected across the y-axis to the new coordinates R’S’,
which of the following could be the coordinates of R’ and S’?
a)  2,7   6,3 
d)
b)  2, 7 
 6, 3 
e)  7, 2   3, 6 
 7,2   3,6 
c)
 2, 7   6, 3 
19) The ages of a group of teenagers are summarized in the frequency table below.
How many teenagers were in the group?
Age
13
14
15
16
17
18
a) 21
b) 22
Frequency
1
2
7
5
6
3
c) 23
d) 24
e) 25
20) The temperature at 9 a.m. was 64 degrees. At 2 p.m. it was 84 degrees.
If the temperature rose at a constant rate all day, what was the temperature
at noon?
a) 60
b) 66
c) 76
d) 78
e) 84
21) T = 5987.2586134. What is the digit in the tenths place of T x 10-3 ?
a) 9
b) 8
c) 7
d) 2
e) 5
55 
x
n
22) In the diagram above, if n = 108 degrees, what is x?
a) 136
b) 127
c) 115
d) 72
e) 54
23) What is the first step in solving the equation: -5x + 4 = 21?
a) Subtract 21 from both sides.
b) Add 5x to both sides.
c) Subtract 4 from both sides.
d) Subtract 21 from both sides.
e) Divide both sides by -5.
24) A container has 95¾ gallons of apple juice inside. How many 1 quart
containers will this fill?
a) 405
b) 383
c) 168
d) 42
e) 21
25) A plumber charges $50/hour plus a service charge of $130. If the bill came to
$480, which of the following will find the number of hours the plumber worked?
a)
480  130
50
b)
d)
50  130
480
e)
480  130
50
480
 50
130
c)
480
 130
50
12 in.
4 in.
26) Allie is getting ready to paint her room with the paint roller shown above.
What area will the roller cover in one rotation?
a) 48
b) 30
c) 24
d) 99
e) 9.5
27) Sarah solves the following equation correctly:
5  x  6   2x  3  x  10 
5x  30  2x  3x  30
5x  30  5x  30
5x
 5x
 30  30
Which of the following is the solution to the equation?
a) x = -30
b) x = 30 and x = -30
d) There is no solution.
c) x = 5
e) All numbers are solutions to the equation.
28) A number, n, is squared. Then 3 is added to the result. Then the result
is divided by 4. If the final result is 133, what is the value of n?
2, 19, 17, 4, 9, 13, 15, 1, 8
29) What is the median of the above numbers?
a) 8
b) 9
c) 11
d) 13
e) 15
30) A rectangular box has a base that is a rectangle with width 5 in. and length 10 in.
If the volume of the box is 975 cubic inches, what is the height of the box?
a) 50
b) 25
c)
31)
23.5
d) 19.5
e) 18.5
Movies A and B
A
B
354
A survey of 800 people was taken. The number who saw both movie A and movie B
is already written on the diagram. If 450 people saw movie A and 385 people saw
movie B, how many people saw neither movie?
a) 481
b) 381
c) 319
d) 309
e) 281
A
3
9
B 4 7 x y 5
5
2
32) If the numbers in column A have the same sum as the numbers in row B,
then y = ?
a) 0
b) 3
c) 5
d) 6
e) 7
33)
Men
Women
The faculty of CVHS gave blood on Monday. If each person gave 1 pint of blood
and the total number of pints given was 116, how many pints does each heart
represent?
5, 14, 41, 122, 365, ……
34) In this sequence of numbers, 5 is the first number and every number after is 1
less than 3 times the preceding number. What is the sixth number in the list?
a) -985
b) 1026
c) 1094
d) 1265
e) 1386
35) A company has 20 million dollars in total expenses for one year. A circle graph
shows a sector of 270 degrees representing employee salaries. How much was
spent on employee salaries?
a) 10 million
b) 12 million c) 13 million
d) 14 million e) 15 million
36) Brigitte measured the length of her driveway and found it was 128 meters long.
She made a scale drawing of the driveway and the length on the drawing was
4 cm. How many meters does 1 cm. on her drawing represent?
a) 16
b) 20
c) 26
d) 32
e) 36
3 
1
37) 40  x  x   ?
5 
4
a) 15x
b) 17x
c) 20x
d) 34x
e) 40x
38) The graph shows f  x     x  3   5.
2
Which of the following is a point on f(x)?
a)  3, 5 
b)  0, 4 
c)  2,8 
d)  0,5 
e)  4,0 
39) A number is multiplied by 3. Then 6 is subtracted from it and then it is divided
by 2. Which of the following will reverse this process?
a)
b)
c)
d)
e)
dividing by 3, adding 6, and then multiplying by 2
dividing by 3, multiplying by 2, and then adding 6
multiplying by 2, dividing by 3, and then adding 6
multiplying by 2, adding 6, and then dividing by 3
dividing by 2, adding 6, and then multiplying by 1/3
f(x)
40) Which of the following describes the graph of f(x) shown above?
a)
b)
c)
d)
e)
It is linear and as x increases, y decreases.
It is linear and as x increases, y increases.
It is nonlinear and as x increases, y decreases.
It is nonlinear and as x increases, y increases.
It is nonlinear and as x increases, y remains the same.
30
20
10
5
30
55
80
41) Which of the following describes the scatterplot above.
a)
b)
c)
d)
e)
As x increases by 25, y decreases by 10.
As x increases by 25, y increases by 10.
As x increases by 10, y increases by 25.
As x increases by 10, y decreases by 25.
As x increases by 10, y remains the same.
42)
Grades in High School
The length of the carpet sample above is closest to:
a) 4.15
b) 4.38
c) 4.49
d) 4.53
43)
e) 4.61
90
80
70
60
50
40
30
20
10
0
1
2
3
4
5
6
7
Number of Hours Spent on the Phone
The scatterplot above suggests:
a)
b)
c)
d)
e)
There is no correlation between grades & hours spent on the phone.
There is a positive correlation between grades & hours spent on the phone.
There is a negative correlation between grades & hours spent on the phone.
As the number of hours spent on the phone increases, grades rise.
As the number of hours spent on the phone increases, grades stay the same.
44) Terri knows that 1 mi. = 1.61 kilometers and 1 gallon = 3.79 liters.
Which of the following would change 25 miles/gallon to km/liter?
a)
25  3.79 
1.61
 25   1 
b) 


 3.79   1.61
d)
25  1.61
3.79
e) 25(1.61)(3.79)
 1   3.79 
c)   

 25   1.61 
45) If y = 2(x – 3) and x > 4, which of the following represents the possible values of y?
a)
2
b)
-2
2
c)
-2
d)
2
e)
-2
2
46) What is 4.04% of 6.14 x 1014?
a) 2.48 x 1013
b) 2.48 x 1014
c) 2.48 x 1015
d) 2.48 x 1016 e) 2.48 x 1017
47) Diana read 9 pages on Monday, 5 pages on Tuesday, and 14 pages on Wednesday.
If she averages 12 pages per day for Monday through Thursday, how many pages
did she read on Thursday?
a) 12
b) 15
c) 16
d) 20
e) 21
48) Sunghee spends $75 for materials to make phone cases and it costs her $4.50 to
make each one. If she sells each case for $8.50, how many cases will she need to
produce in order to have a profit of at least $400? Select all the correct answers.
a) 117
b) 118
c) 119
d) 120
e) 121
# of movies
49)
4
3
2
1
0
2
3
1
# of people
The bar chart above shows how many people saw a selection of four movies.
If one person changes her answer from 3 to 2, which of the following would be true?
a)
b)
c)
d)
e)
The mean would decrease and the median would stay the same.
The mean would remain the same and the median would decrease.
The mean would increase and the median would increase.
The mean would decrease and the median would decrease.
Both the mean and the median would remain the same.
50) For every 3 people who passed the test, 8 people failed. Which of the following
could be the total number of people who took the test?
a)
131
b) 132
c) 133
d) 134
e) 135
51) If x  0 and y  0, which of the following is equivalent to
a)
1
5xy
b)
1
5x  y
c)
3
5xy
d)
4y  15x
5xy
e)
4
3
 ?
5x y
15x  4y
5xy
52) At a retail store on Friday last week, the price of a sweater was x dollars.
On the following Monday the price of the sweater was reduced by 40% of
Friday’s price. On Wednesday the price of the sweater was further reduced by
25% of Monday’s price. Which of the following expressions represents the price,
in dollars, of the sweater on Wednesday?
a (0.4)x
b) (0.4)(0.25)x
d) (0.6)(0.25)x
e) (0.75)(0.6)x
c) (0.4)(0.75)x
53) If 5x = 14 + 9y and y = 4, what is the value of x?
a) 2
b) 10
c) 15
d) 18
e) 20
54) A tin of cookies contains 6 times as many Thin Mints as Oreos.
If there are exactly 959 cookies in the tin, how many of them are Thin Mints?
55) Solve for x: 2x  14  10
a) x  2
b) x  12
c) x  2
A
d) x  12
e) x  12
B
56) In the Venn diagram above, circle A represents the multiples of 3 that are
less than 21, and circle B represents the prime numbers that are less than 15.
How many integers are represented by the shaded region?
a) 1
b) 2
c) 3
d) 4
e) 0