Download HSPE Proficiency Packet - North Valleys High School

Name: ________________________ Class: ___________________ Date: __________
ID: A
HSPE Proficiency Packet
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Find the solution to the following inequality:
3x − 8 ≥ 13
5
a. x ≥ 18 b. x ≥ 15 c. x ≥ 7 d. x ≥
3
5. Factor.
x 2 − 64
a. (x − 1 ) (x + 64 ) b. (x − 4 ) (x + 16 )
c. (x − 8 ) (x + 8 ) d. (x − 8 )
2. Brock borrows $ 2,000 from his father and repays
the money after 2 years, plus 5% simple interest.
How much interest does Brock pay on the loan?
a. $100 b. $200 c. $1,000 d. $2,000
2
6. Use the functions below.
f(x) = −2x
g(x) = x 2
Which elements are in the range of f and also in the
range of g?
a. All real numbers b. All positive real numbers
c. All negative real numbers d. No real numbers
3. Two linear equations are given below.
Equation 1: 2x − y = 3
Equation 2: 4x + 3y = 21
For which equation is the point (3, 3) a solution?
a. Equation 1 only b. Equation 2 only c. Both
equations d. Neither equations
7. The figures shown below are constructed from
toothpicks.
4. You buy a lawn mower for $280. You charge $20
to mow a lawn. How many lawns will you have to
mow to pay for the lawn mower plus show a profit
of $60?
a. 3 lawns b. 11 lawns c. 14 lawns d. 17
lawns
Which expression represents the number of
toothpicks in Figure n?
a. 3n b. n+6 c. 2n-1 d. 4n-1
8. The table below shows Jeremy’s monthly expenses.
Monthly Expense
Food and Clothing
Housing and Utilities
Percent of Monthly
Income
22%
33%
Transportation
Health & Personal Care
13%
6%
Savings
Miscellaneous
9%
17%
Jeremy earned $4,500 last month. How much did he pay for transportation?
a. $163 b. $180 c. $346 d. $585
1
Name: ________________________
ID: A
12. Two jobs offer different pay packages.
hJob A pays an annual salary of $38,000 plus a
comission of 3% of sales.
hJob B pays an annual salary of $43,000 plus a
comission of 1% of sales.
What system of equations would be used to find the
amount of sales that makes the pay (P) for job A
equal to job B?
a. P = 38000 + 0.01s
P = 43000 + 0.03s
b. P = 38000 + 0.03s
P = 43000 +0.01s
c. s = 38000+ 43000
s = 43000+ 0.03P
d. P = 38000 + 43000
s = 0.03 + 0.01
9. A polynomial is shown below.
y = |x − 1 | − 2
What is the range of the function?
a. y ≥ 0 b. y ≥ 2 c. y ≥ −1 d. y ≥ −2
10. A student scored 98, 84, and 90 on three exams this
semester. What score does the student need to
achieve on the last exam to have an overall mean of
88 on his exams?
a. 80 b. 89 c. 90 d. 91
11.
What property is demonstrated by
(3 + 10x) + 4x = 3 + (10x + 4x) ?
a. associative b. commutative c. distributive
d. identity
13. Use the graph below.
Which table represents the information shown in the graph?
a.
b.
c.
d.
2
Name: ________________________
ID: A
19. Daves windshield has a crack.He must decide who
will fix it. Relevant information is listed below.
hReplacing the windshield costs $200.
hRepairing the crack costs $70.
hIf he has the windshield repaired, the insurance
company will pay half of the costs.
hIf he has the windshield replaced by Glass Plus,
he pays $25 plus 20% of the cost. His
insurance pays the rest.
hIf he has the windshield replaced by Mobile
Glass, he must pay the full cost; insurance pays
nothing.
What is the least amount of money Dave must pay
to get the windshield repaired or replaced?
a. $35 b. $65 c. $100 d. $200
14. The graph of a function is shown below.
What is the domain of the function?
a. x = 1 or x = 4 b. x can be any real number
c. y ≥ -1 d. y = 2
20. An equation is shown below.
x 2 + 2x − 24 = 0
What is the solution set of the equation?
a. {−4,6} b. {−6,4} c. {−12,2} d. {−2,12}
15. Use the table.
The pattern in the table continues. What is the next
column in the table?
a.
b.
c.
21. Fred and Ethel are solving the system of linear
equations shown below:
ÔÏÔÔ 2x − 3y = 12
Ô
ÌÔÔ
ÔÓ −4x + 6y = −24
d.
16. An equation is shown below.
pL
R=
A
W hich is an equivalent equation solved for L?
p
pR
A
AR
b. L =
c. L =
d. L =
a. L =
pR
AR
A
p
Fred found the solution to be the point (6,0). Ethel
found the solution to be the point (0,-4).
Which person has the correct solution to the system
and why?
a. Fred, because the point (6,0) lies on both lines.
b. Ethel, because the point(0,-4) lies on both lines.
c. Neither, because any two lines may only have
one point in common. d. Neither, because they
have found only two of the infinitely many points
that lie on both lines.
17. Which equation has roots of -3 and 5?
a. x 2 − 2x − 15 = 0 b. x 2 − 2x + 15 = 0
c. x 2 + 2x − 15 = 0 d. x 2 + 2x + 15 = 0
18. A system of linear equations is shown.
ÏÔÔ
ÔÔ y = 2x + 1
ÌÔÔ
ÔÓ 2x − 3y = 5
22. A secretary types 56 words in a minute. Which
proportion shows the approximate number of words
1
that she can type in hour?
2
56
x
56 x
56
x
a.
=
b.
=
c.
=
1
30
30 1
60 30
56 x
d.
=
60 1
What is the y-coordinate of the point of
intersection?
a. -5 b. -3 c. -2 d. 9
23. Which inequality is equivalent to || p + 5| ≤ 8?
a. −13 ≤ p ≤ 3 b. −3 ≤ p ≤ 13 c. p ≤ −13 or
p ≥ 3 d. p ≤ −3 or p ≥ 13
3
Name: ________________________
ID: A
31. A sequence is defined as follows:
The nth term is three more than twice the
square of n.
What is the 7th term of the sequence?
a. 5 b. 7 c. 101 d. 199
24. Use the sequence below.
1 1 1
5 1
5 25 125
What is the nth term in the sequence?
n −2
n
ÁÊ 1 ˜ˆ
ÁÊ 1 ˜ˆ
a. 5n b. 5 2n − 1 c. ÁÁÁÁ ˜˜˜˜
d. ÁÁÁÁ ˜˜˜˜
Ë5¯
Ë 5¯
32. Which pair of equations represents perpendicular
lines?
ÏÔ
ÔÔÔ
1
ÔÏÔÔ y = 5x + 7
ÔÔ
ÔÔÔ y = 2 x + 2
Ô
a. ÔÌ
b. ÔÌ
ÔÔ y = − 1 x + 3
ÔÔÔ
1
ÔÔÔ
ÔÔÔ y = − x + 4
5
Ó
2
Ó
ÔÏÔ
ÔÔ y = 1 x + 2
ÏÔÔ
ÔÔÔ
ÔÔ y = 3x + 4
5
c. ÌÔ
d. ÌÔ
ÔÔ y = 6x + 8
ÔÔÔ
1
Ó
ÔÔÔ y = x + 1
5
Ó
25. The table below shows points on a line.
What is the slope of the line?
1
1
a. − b.
c. -3 d. 3
3
3
26. Simplify.
2x 2
when x≠0
4x
a. 1 b. x c. 2x d.
33. Which graph represents y = 2x + 3 ?
x
2
27. Use the systems of equations below.
ÏÔÔ
ÔÔ y = 3x + 1
ÌÔÔ
ÔÓ 2y = px + q
For what values of p and q does the system have an
infinite number of solutions?
a. p =3, q =1 b. p =3,q= 2 c. p=6, q=1
d. p=6,q=2
a.
b.
28. Factor.
3x 2 − 6x + 3
a. (3x − 1)(x + 3) b. (3x + 1)(x + 3)
c. 3(x − 1)(x + 1) d. 3(x − 1) 2
2
c.
3
3 ⋅2
22 ⋅ 2 1
9
9
27
a. 9 b.
c.
d.
2
4
2
d.
34. Scientists say that temperature in degrees
Fahrenheit can be determined by adding 41 to the
number of chirps a cricket makes in 13 seconds ( if
the temperature is above 55°F). If n is the number
of chirps counted in 13 seconds, which formula
represents the temperature T in degrees Celsius?
5n + 45
9n + 73
5n + 493
a. T =
b. T =
c. T =
9
5
9
9n + 529
d. T =
5
29. What is the value of
30. The first five terms of a sequence are given below.
1 3 9 27 81
The sequence continues. Which expression
represents the nth term of the sequence?
a. 3 n − 1 b. 3n − 2 c. 3n d. 3 n
4
Name: ________________________
ID: A
35. Which graph shows a function with range y ≤ 3?
39. The weight (w) of a package is measured in
ounces.Each package must be in the range given
by: 14.20 < w < 14.30. What is the tolerance for
the weight of the package?
a. 14.20±0.05oz b. 14.20 ± 0.10oz
c. 14.25 ± 0.05oz d. 14.25 ± 0.10oz
40. Look at the diagram below.
a.
b.
What is sin(x°)?
12
12
35
37
a.
b.
c.
d.
35
37
37
12
c.
d.
41. In the diagram below PR is parallel to SU , and QT
36. Use the inequality below where all variables are
positive numbers.
MP
Q≥−
R
Which shows the inequality solved for M ?
QP
QP
RQ
b. M ≤ −
c. M ≥ −
a. M ≥ −
R
R
P
RQ
d. M ≤ −
P
is congruent to QU
What is the measure of <STQ?
a. 30° b. 120° c. 150° d. 165°
37. Use the systems of equations below.
ÔÏÔÔ x = 4
Ô
ÌÔÔ
ÔÓ y = 2
42. Which is the most precise measurements?
a. 1.54 kilometers b. 1.54 meters c. 1.54
centimeters d. 1.54 millimeters
Which statement best describes the solution set of
the system?
a. The solution set is only the ordered pair (4, 2).
b. The solution set is all orderd pairs where x=4; y
can be any real number. c. The solution set is all
ordered pairs where y=2; x can be any real
numbers. d. There is no solution to the system.
38. In the diagram below, line m is parallel to line n.
What is the value of x?
a. 30 b. 60 c. 120 d. 150
5
Name: ________________________
ID: A
46. The entertainment center shown below has a
25-inch by 40-inch opening for a television.
43. Look at the graph below.
A television is measured by the length of its
diagonal.Which is the largest television set that
would fit in the opening?
a. 36 inches b. 42 inches c. 50 inches d. 65
inches
What is the slope of the line?
1
1
a. -2 b. − c.
d. 2
2
2
47. Swimmming pools X and Y are similar rectangular
prisms. The ratio of the surface area of Pool X to
Pool Y is 4 : 9. What is the capacity of Pool X in
terms of the capacity of Pool Y?
8
27
4
a. X =
Y b. X =
Y c. X = Y
27
8
9
9
d. X = Y
4
44. Look at the figure below.
48. Use the diagram below.
What is the measurement of ADC ?
a. 45° b. 90° c. 180° d. 360°
45. What is the measure of an exterior angle of a
regular octagon?
a. 22.5° b. 45° c. 90° d. 135°
What is the measure of <BCE?
a. 20° b. 25° c. 40° d. 50°
49. A carpenter measures a board to be 37.9 inches in
length. The board is actually 38 inches in length.
Which expression shows the percent error of the
carpenters measurements?
(38 − 37.9)
a.
b. (38 − 37.9) × 100
100
ÁÊ 38 − 37.9 ˜ˆ˜
ÁÊ
˜ˆ
˜˜ × 100 d. ÁÁÁ 38 − 37.9 ˜˜˜ × 100
c. ÁÁÁÁ
˜
Á
˜
Ë 37.9 ¯
Ë 38 ¯
6
Name: ________________________
ID: A
55. Look at the quadrilateral below.
50. A triangle has sides with lengths of 11 meters, 9
meters, and 7 meters. What type of triangle is it?
a. acute b. equiangular c. obtuse d. right
51. The figure below shows a smaller rectangle inside
a larger rectangle.
What is the value of x?
a. 32 b. 34 c. 68 d. 70
56. Use the figure below.
What is the area of the shaded region?
a. 2x 2 + 2x + 2 b. 2x 2 + 3x + 2 c. 2x 2 + 5x + 2
d. 2x 2 + 8x + 2
52. The formula for the surface area S of a sphere is
shown below, where r is the length of the radius.
S = 4π r 2
When the surface area of a sphere is 64π cm2 , what
is the length of the radius?
a. 4 cm b. 8 cm c. 16 cm d. 64 cm
What word best describes DB ?
a. chord b. diameter c. secant d. tangent
57. The diagram below shows six parking spaces. The
marked angles are congruent.
53. Which set of numbers could be the lengths of the
sides of a right triangle?
a. 2,3,4 b. 3,4,7 c. 5,10,15 d. 9,12,15
54. The cylinder and the cone shown in the diagram
below have equal volumes and equal heights.
Is the width of parking space #2 the same as the
width of parking space #5?
a. Yes. Alternate exterior angles are marked
congruent, so the lines are parallel and equidistant.
b. Yes. Corresponding angles are marked
congruent, so the lines are parallel and equidistant.
c. No. Alternate interior angles are not marked
congruent, so the lines may not be parallel and
equidistant. d. No. Vertical angles are not marked
congruent, so the lines may not be parallel and
equidistant.
What is the ratio of the radius of the cylinder to the
radius of the cone?
a. 1:3 b. 3:1 c. 1:23 d. 23:1
58. Which tool would be most appropriate to use to
measure the perimeter of a school building?
a. protractor b. ruler c. meterstick d. tape
measure
7
Name: ________________________
ID: A
63. The formula for the volume V of a rectangular
pyramid is shown below, where h is the height and
B is the area of the rectangular base.
1
V = Bh
3
When the volume of a rectangualr pyramid is 18
cubic inches, its height is 9 inches, and the length
of the base is 3 inches, what is the width of the
base?
a. 1 inch b. 2 inches c. 3 inches d. 6 inches
59. Use the figure below.
What is the value of X?
a. 223 b. 231 c. 241 d. 249
60. The diagram below shows a dart board of three
rings. The goal is to hit the center ring.A dart
player threw five darts and the Xs represent the
points where the darts hit the board.
64. Use the figure below.
Which equation shows the value of y?
9.1 2 − 4.2 2 b. y = 4.2 2 + 9.1 2
c. y = 9.1 2 − 4.2 2 d. y = 4.2 2 + 9.1 2
a. y =
Which statement best describes the dart players
accuracy and precision?
a. accurate-no; precise-yes b. accurate-no;
precise-no c. accurate-yes; precise-no
d. accurate-yes; precise-no
65. In the figure below. < DAB ≅< BCD.
61. Read the statement below.
Ravens are black.
Which conditional statement is equivalent to the
given statement?
a. If a bird is a raven, then it is black. b. If a bird
is black, then it is a raven. c. If a bird is not a
raven, then it is not black. d. If a raven is not
black, then it is not a bird.
What is the value of y?
a. y= 30 b. y= 45 c. y= 60 d. y= 75
66. Use the figure below.
62. In the figure below, triangles ABG,BCH , and HGB
are congruent.
What is the cosine of angle A?
8
8
15
17
a.
b.
c.
d.
15
17
17
8
What is the measure of angle GBH ?
a. 54º b. 58º c. 62º d. 64º
8
Name: ________________________
ID: A
72. The ratio of the length (L) to width (w) of a certian
building is equal to the ratio of the height (h) to
girth(g) of a man.Which equation represents the
mans height?
ÁÊ L ˜ˆ
ÁÊ w ˜ˆ
1 ÁÊ L ˜ˆ
a. h = g ÁÁÁÁ ˜˜˜˜ b. h = g ÁÁÁÁ ˜˜˜˜ c. h = ÁÁÁÁ ˜˜˜˜
g Ëw¯
Ëw¯
ËL ¯
1 ÁÊ w ˜ˆ
d. h = ÁÁÁÁ ˜˜˜˜
g ËL ¯
67. In the figure below, lines m and n intersected by
transversal t.
Whch statement must be true?
a. x=45 b. x=90 c. lines m and n intersect
d. lines m and n are parallel
73. What is the best approximation of
a. 4.0 b. 4.5 c. 8.0 d. 8.5
69. The table below shows the number of snacks sold
at a concession stand during two different games.
Which matrix represents the total number of
students who favor burritos, hamburgers, and
pizza?
È
˘
È
˘
a. ÍÍÍÍ 25 29 30 ˙˙˙˙ b. ÍÍÍÍ 32 28 24 ˙˙˙˙
Î
˚
Î
˚
ÈÍ
˘˙
ÈÍ
˘˙
c. ÍÍÍ 10 13 9 ˙˙˙ d. ÍÍÍ 24 28 32 ˙˙˙
Î
˚
Î
˚
How many small sodas were sold all together?
a. 23 b. 31 c. 54 d. 85
˘˙
ÈÍ
˙
ÍÍ
ÍÍ 15
−2 ˙˙˙˙
˙˙ c. ÍÍÍ
˙
ÍÍ
0 ˙˙˚
ÍÎ −1
75. What propery is demonstrated by
(3 + 10x) + 4x = 3 + (10x + 4x)?
a. associative b. commutative c. distributive
d. identity
76. Use the matrices below.
ÈÍ
˘˙
ÈÍ
˘˙
ÈÍ
ÍÍ
˙
ÍÍ
˙
ÍÍ
ÍÍ 4 0 ˙˙˙
ÍÍ 3 −1 ˙˙˙
ÍÍ −3
Í
˙
Í
˙
K = ÍÍ
˙˙ L = ÍÍ
˙˙ M = ÍÍÍ
ÍÍ
˙
ÍÍ
˙
ÍÍ
ÍÎ −1 3 ˙˙˚
ÍÎ 0 4 ˙˙˚
ÍÎ 0
ÈÍ
˘˙
ÍÍ
˙
ÍÍ 6 −2 ˙˙˙
Í
˙˙ ?
Which sum is equal to ÍÍ
˙˙
ÍÍ
ÍÎ 0 8 ˙˙˚
a. K+M b. L+L c. L+M d. M+M
˘˙
˙
−6 ˙˙˙˙
˙˙
˙
0 ˙˙˚
71. Five numbers are shown below.
30 50
30
50 7 2
Which is the true statement about the numbers?
a. 50 − 30 < 7 2 b. 50 + 30 < 7 2
c.
50 − 30 > 7 2 d.
65 ?
74. The table below shows favorite foods of students in
three different classes.
68. The first five terms of a sequence are shown below.
1 3 5 7 9
What is the 11th term of the sequence?
a. 10 b. 11 c. 20 d. 21
70. Multiply.
ÈÍ
˘˙
ÍÍ
˙
ÍÍ 5 −2 ˙˙˙
Í
˙˙
3 ÍÍ
˙˙
ÍÍ
ÍÎ −1 0 ˙˙˚
ÈÍ
˘˙
ÈÍ
ÍÍ
˙
ÍÍ
ÍÍ 15 −6 ˙˙˙
Í
˙˙ b. ÍÍÍ 15
a. ÍÍÍ
˙
ÍÍ
ÍÍ
˙
ÍÍ −3
ÍÎ −3 0 ˙˙˚
Î
ÈÍ
˘˙
ÍÍÍ 15 6 ˙˙˙
˙˙
d. ÍÍÍÍ
˙˙
ÍÍ
˙
ÍÎ 3 0 ˙˙˚
3
˘˙
˙
1 ˙˙˙˙
˙˙
˙
−4 ˙˙˚
77. Use the statement below.
If a number is divisible by 2, then it is also
divisible by 4.
Which is a counter example to the statement?
a. 6 b. 16 c. 36 d. 56
50 + 30 > 7 2
9
Name: ________________________
ID: A
85. Sally says she never has to use subtraction when
solving linear equations. Which property of real
numbers is Sally using in place of subtraction?
a. commutative property of addition
b. associative property of addition c. additive
identity property d. additive inverse property
78. Which one of the following statements is NOT
always true for positive numbers a, b, and c?
a. a (b ⋅ c) = (a ⋅ b )c b. a (b + c) = a ⋅ b + a ⋅ c
c. a ÷ (b ⋅ c) = (b ⋅ c) ÷ a
d. a + (b + c) = a + (c + b )
79. Use the information below.
=
=
=
Which figure is equivalent to ?
a. b. c. d. 86. The square of k is between 7 and 8. Which
statement about k is true?
a. 0 < k < 5 b. 10 < k < 20 c. 25 < k < 35
d. 45 < k < 65
87. A bank offers saving certificates as investments.
Interest is earned for the actual amount of time the
money is in the bank. There are penalties if a
certificate is cashed in before the end of its term.
The table below shows the interest rates and
penalties for certificates of different lengths.
80. Which statement is true if x = 10 0 + 3 30 ?
a. 0 < x ≤ 4 b. 4 < x ≤ 6 c. 6 < x ≤ 12
d. 12 < x ≤ 20
81. Given x = 2 3 , y = 3 27 and z = 4 3 , which
number line shows the correct placement of x, y,
and z?
a.
b.
Lucy invested $1000 in a 36 month certificate, but
cashed in after 30 months. How much interest did
Lucy earn?
a. $90 b. $75 c. $60 d. $45
c.
88. A four character password consists of one letter
from the word MATH, followed by three digits
which may be 1, 2 or 3. If the digits may be used
more than once, how many more passwords can be
made than if the numbers are used only once?
a. 12 b. 24 c. 84 d. 108
d.
82. Which expression is closest to 18?
a. 3 2 + 2 3 b.
80 + 80 c. 2 3 1000 d. 9 2
83. The equation below illustrates a property of real
numbers.
17(1)= 1(17)= 17
What is the property?
a. associative property of multiplication
b. distributive property c. multiplicative identity
property d. multiplicative inverse property
84. Which point best represents the value of
14 ?
a. Point A b. Point B c. Point C d. Point D
10
Name: ________________________
ID: A
91. The Venn diagram below represents pants with
different characteristics.
89. A large company charted employee absences for
the past month (20 workdays). The company
represented the data in a scatterplot and a
histogram. The charts are shown below.
What is represented by the shaded region?
a. Pants with pockets, buttons, and pleats.
b. Pants with buttons and pockets, but without
pleats. c. Pants with buttons and pleats; some
pants may have pockets. d. Pants with pockets
and buttons; pants may have pleats.
92. Which spinner, when spun once, has the highest
probability of landing on the number 1?
What fact is obvious from the scatterplot that is not
obvious from the histogram?
a. A typical employee was absent an average of 3
days this month. b. More workers were absent
early in this month than late in the month. c. On
most days this month, there were 2 to 4 workers
absent. d. Next month, fewer than 2 workers will
probably be absent on any given day.
90. A donut display case has 6 glazed, 3 chocolate, and
3 sugar donuts. A customer randomly selects 3
donuts, without replacement. What is the
probability of choosing two glazed donuts and 1
sugar donut?
6 6 3
6 6 6
6 5 3
⋅
⋅
b.
⋅
⋅
c.
⋅
⋅
a.
12 12 12
12 11 10
12 12 12
6 5 3
d.
⋅
⋅
12 11 10
a.
b.
c.
d.
93. The pictograph below shows the number of hot
beverages consumed at a restraurant.
How many more cups of coffee than cups of hot
cider were consumed?
a. 15 b. 40 c. 45 d. 60
11
Name: ________________________
ID: A
98. A game uses the two spinners shown below.
94. The heights of women aged 18-24 years can be
desciribed with normal distribution. A graph of the
distribution is shown below.
Each spinner is spun once and the two results are
added to determine a players move. Which circle
graph shows the distribution of possible moves?
Based on the graph, which statement is correct?
a. There are more women in this age group taller
than 69.5 inches than there are shorter than 59.5
inches. b. Most women who are older than 24
years are taller than 72 inches. c. Less than
one-third of the women in this age group are taller
than 64.5 inches. d. There are about as many
women in this age group shorter than 62 inches as
there are taller than 67 inches.
a.
c.
b.
d.
99. A definiton of biased sampling is
a. a method of selection that includes the whole
population. b. a method of selection that excludes
certain parts of the population. c. a method of
selection that ensures the sample represents the
population. d. a method of selection that results
in a sample smaller than the population.
95. A class has 25 students. The teacher randomly
chooses 3 students to form a line.If the order of the
selection is important, how many different lines
could be created?
25!
25!
c.
d. 25!
a. 25(3!) b.
(25 − 3)!
3! (25 − 3)!
96. There are 10 cats in a pet show. A group of 3 cats
will be selected as finalists. How many different
groups of cats could be finalists?
a. 13 b. 30 c. 120 d. 720
100. Two dice are rolled.The number of dice showing
“6” is counted. Which is the correct sample space?
a. {6} b. {0,1,2} c. {0,6,12}
d. {2,3,4,5,6,7,8,9,10,11,12}
97. A group of 30 people was asked,”What is your
favorite type of pet?”. The results of the survey are
shown below.
101. The key is missing from the graph below.
Which of these is a true statement about he data?
a. The mean is 6. b. The mode is 2. c. The
mode is dog. d. The median is fish.
Morris and Williams harvested 560 bushels of
apples.How many bushels does each apple in the
graph represent?
a. 7 b. 14 c. 40 d. 80
102. A survey about space program funding asked the
question, “Should the space program recieve
increased funding?”.
12
Name: ________________________
ID: A
A graph of the results is shown below.
104. Use the set of numbers below.
5 5 7 8 9 11 12 17 30 40
Whic of the following numbers, when included in
the set, would change the mean but not the median
or mode?
a. 0 b. 5 c. 10 d. 15
105. A set of data is written in numerical order. Which
term describes the spread of the middle half of the
data?
a. mean b. median c. interquartile range
d. range
If the survey had instead asked “ Given the great
benefits provided by the space program, should the
space program recieve increased funding?”
Which of the graphs shows likely results of that
question?
106. The seniors in East High School voted for their
favorite catagory for the year book.The reults of the
vote are represented in hte bar graph.
a.
Which catagory recieved more than 20% of the
vote but less than 30% of the vote?
a. Best Smile b. Best Grades c. Best Couple
d. Best Humor
107. A game uses the two fair spinners shown below.
b.
Both spinners are spun and the two numbers are
added. If the player has the sum,it is crossed off the
game card.Only one total may be crossed off per
turn.The first player to cross off all numbers wins.
c.
Which game card should be chosen so a player has
the best chance of winning?
a.
d.
103. What is the number of combinations of 7 things
taken 3 at a time?
a. 21 b. 35 c. 210 d. 343
d.
13
b.
c.
Name: ________________________
ID: A
111. The histograms below show the number of points
scored by two basketball players: Susan and Maria.
Each played in 25 games.
108. A group of three different desserts is chosen from a
menu of ten desserts. Which expression represents
all possible combinations of 3 desserts?
10!
10!
10!
c.
d.
a. 10! b.
3!
(10 − 3)!
(10 − 3)!3!
109. A student tosses a fair coin 3 times and all 3 results
are heads.What is the probability that the next toss
willl be heads?
a. 0% b. 25% c. 50% d. 100%
110. The table below shows the high temperature for
Paris, France and New York City, USA over the
same four day period. Which city has the higher
mean temperature?
Which statement is true when comparing Susan’s
and Maria’s scores?
a. Susan’s mean score is higher and Maria’s
scores are more variable. b. Susan’s mean score
is higher and her scores are more variable.
c. Maria’s mean score is higher and her scores are
more variable. d. Maria’s mean score is higher
and Susan’s scores are more variable.
a. Paris has the higher mean temperature b. New
York City had the higher mean temperature.
c. Their mean temperature is the same d. One
cannot compare mean temperatures when measured
in different systems
112. Which could be the range of Maria’s scores?
a. 58 points b. 48 points c. 28 points d. 8
points
113. A drama teacher is randomly choosing students for
r different roles in a play. There are 8 students
from which to choose and the number of possible
outcomes is 56. How many roles are in the play?
a. r = 2 b. r = 3 c. r = 5 d. r = 7
14
ID: A
HSPE Proficiency Packet
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
C
B
C
D
C
B
D
D
D
A
A
B
C
B
B
D
A
B
A
B
D
A
A
C
D
D
D
D
A
A
C
B
B
A
B
C
A
B
C
1
ID: A
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
B
C
D
A
C
B
B
B
A
D
A
A
A
D
D
D
A
A
D
C
A
A
D
B
A
A
C
D
D
D
A
A
A
A
D
A
B
A
C
D
B
D
B
C
B
2
ID: A
85.
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
D
D
B
C
B
D
C
A
C
D
B
C
C
C
B
B
C
C
B
C
C
B
C
D
C
A
C
B
A
3