Test Booklet

Test Booklet
Subject: MA, Grade: 08
MCT2 Grade 8 Math 2008
Student name:
Author: Mississippi
District: Mississippi Released Tests
Printed: Sunday September 02, 2012
MCT2 Grade 8 Math 2008
MA:08
1 The wingspans of four butterflies are recorded below.
2.41 centimeters, 2.39 centimeters, 2.40 centimeters, 2.405 centimeters
Which length represents the GREATEST wingspan of these butterflies?
A
B
C
D
2.41 centimeters
2.39 centimeters
2.40 centimeters
2.405 centimeters
2 Which statement
explains how to simplify the
7
expression
5
53
?
A Keep the common base and add the exponents.
B Keep the common base and divide the expo-
4 Drake spent a total of $37.50 on the entrance ticket
and ride tickets at the county fair. The entrance
ticket was $13.50 and the ride tickets were $1.50
each.
What is the number of ride tickets Drake bought?
nents.
C Keep the common base and multiply the
exponents.
D Keep the common base and subtract the
exponents.
3 What is the least common multiple (LCM) of
3x4 y 2 and 7xy 3 ?
A
B
C
D
Page 1
10xy 2
5 5
10x y
4 3
21x y
5 5
21x y
A
B
C
D
9
16
25
34
5 Which expression is equivalent to −3x
4 (3x + 2) ?
A
B
C
D
4x + 6
9x + 8
9x + 2
15x + 8
Go On
+
MCT2 Grade 8 Math 2008
MA:08
6 The drawing below shows a three-dimensional
structure built with 14 identical cubes.
Which of the following best represents the top
view of this structure built with 14 cubes?
A
B
C
D
Page 2
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MCT2 Grade 8 Math 2008
MA:08
7 Corey drew the following graph for the equation y = 13 x − 1 .
Is Corey correct?
A
B
C
D
No, the y-intercept is correct, but the slope of the line should be negative.
No, the y-intercept is correct, but he drew the reciprocal of the slope.
No, the slope is correct, but the y-intercept should be positive.
No, the y-intercept and slope are both wrong.
8 What is the value of x in the inequality shown
below?
graph of the following equation?
3 (5x − 7) ≥ 2 (6x + 9)
A
B
C
D
9 Which phrase describes characteristics for the
x ≥ 13
x ≤ 13
x ≥ −13
x ≤ −13
y = 4x − 4
A line with a negative slope that crosses the xaxis at a negative value
B A line with a negative slope that crosses the xaxis at a positive value
C A line with a positive slope that crosses the xaxis at a negative value
D A line with a positive slope that crosses the xaxis at a positive value
Page 3
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MCT2 Grade 8 Math 2008
MA:08
10 The following grid shows the top, front, and right-side views of a three-dimensional structure Lisa plans to
build with identical cubes.
Which of the following best represents Lisa’s three-dimensional structure?
A
C
B
D
Page 4
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MCT2 Grade 8 Math 2008
MA:08
11 Baxter plans to build a skateboard ramp. The dimensions of a side of the skateboard ramp are shown below.
Which is closest to x, the length of the ramp?
A
B
C
D
9 feet
11 feet
12 feet
13 feet
12 In the diagram below, line t intersects parallel
lines r and s .
13 Which number shown below is an element in the
set of whole numbers?
√
√ q1 √
64, π,
, 6.25
4
√
A 64
√
B π
C
◦
If the measure of 6 3 = 68 , what is the measure of
6 8?
A
B
C
D
Page 5
D
q
√
1
4
6.25
180◦
112◦
68◦
28◦
Go On
MCT2 Grade 8 Math 2008
MA:08
14 Betty drew a diagram of the roads she can travel to get to a friend’s house. She previously traveled from
point A to point D thru points B and C. However, a new road was built from point A directly to point D,
which she plans to take to go to her friend’s house.
How much shorter is the trip if Betty takes the new road to her friends house?
A
B
C
D
8 miles
10 miles
13 miles
36 miles
15 The city built a circular playground in the park.
The radius of the playground is 12 feet.
Which is closest to the circumference of the
playground? (Use 3.14 for π .)
A
B
C
D
Page 6
24 ft
38 ft
75 ft
144 ft
Go On
MCT2 Grade 8 Math 2008
MA:08
16 Doris, Jan, and Cameron are competing in a
18 Tina has a bag of colored marbles that are equal in
gymnastics competition. The winner will be
the one with the highest mean score of all of
the events. Their scores are represented in the
following table.
size. The table below shows the color distribution
of the marbles in her bag.
Cameron thinks she has won the competition. Is
she correct?
A
B
C
D
No, because Doris has the highest mean score.
No, because Jan has the highest mean score.
Yes, because she scored more 10’s than Doris.
Yes, because she has the highest range of
scores.
Tina plans to randomly pick two marbles from the
bag, one marble at a time, without placing it back
in the bag. If the first marble she picks is blue,
what is the probability that the second marble she
picks is green?
A
B
C
D
1
14
1
5
7
25
2
7
17 Felicity’s quiz scores in her mathematics class
were:
80, 94, 91, 80, 97, 100, 99
Which measure of central tendency should Felicity
use to best represent the data?
A
B
C
D
Page 7
Mean
Mode
Range
Median
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MCT2 Grade 8 Math 2008
MA:08
19 Which of the following represents the graph of a line that has a positive slope?
A
C
B
D
20 Which of the following correctly applies the
21 Rashad solved the inequality 2x + 4 ≥ 14
Distributive and Associative Properties to the
expression below?
and determined that x could equal 6. Is Rashad
correct?
r + 7 (r + 5p)
A
B
C
D
Page 8
(r + 7r) + 5p
(r + 7) (r + 5p)
2r (7 + 35p)
A
B
C
D
No, because x ≥ 5
No, because x = 5
Yes, because x ≥ 5
Yes, because x ≤ 5
(r + 7r) + 35p
Go On
MCT2 Grade 8 Math 2008
MA:08
22 What is the y-intercept of the line represented by
the equation below?
y = 3x + 2
A 0, 23
B (0, 2)
C 23 , 0
D (2, 0)
23 Which expression is equivalent to 32?
A
B
C
D
36 − (6 ÷ 3) (1 + 1)
(36 − 6) ÷ 3 (1 + 1)
36 − 6 ÷ 3 (1) + 1
(36 − 6) ÷ 3 (1) + 1
24 Nationwide 3,457,000 copies of a novel were sold
during the first week it was available.
What is that number written in scientific notation?
A
B
C
D
3.457 × 107
3.457 × 106
3.457 × 10−6
3.457 × 10−7
25 What is the value of this expression?
1142
A
B
C
D
Page 9
116
228
11,856
12,996
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MCT2 Grade 8 Math 2008
MA:08
26 The diagram below shows a three-dimensional object made of 11 identical cubes.
Which of the following best represents the top view of this three-dimensional object?
A
B
C
D
27 Which expression can be used to determine the
length, in inches, of the leg of a right triangle that
has a hypotenuse of 8 inches and a leg of 6 inches?
√
A 82 − 62
√
B 82 + 62
C 62 + 82
D 62 − 82
Page 10
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MCT2 Grade 8 Math 2008
MA:08
28 Use your inch ruler to help you answer the question.
Xavier plans to glue a piece of rope around the outside edge of a plaque. A drawing of the shape of the
plaque is shown below.
Which is closest to the perimeter of the plaque?
A
B
C
D
15 inches
18 inches
20 inches
23 inches
Page 11
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MCT2 Grade 8 Math 2008
29 Which is closest to the circumference and area of
a circle that has a radius of 9 inches? (Use 3.14 for
π .)
A The circumference is 57 inches and the area is
254 inches.
B The circumference is 254 inches and the area
is 57 inches.
C The circumference is 28 inches and the area is
324 inches.
D The circumference is 324 inches and the area
is 28 inches.
30 In the drawing below, lines r and t are perpendic-
MA:08
31 Carmen’s garden is shaped like a rectangle. The
garden has an area of 48 square feet.
Which of the following could be the dimensions of
Carmen’s garden?
A
B
C
D
12 ft by 36 ft
10 ft by 14 ft
8 ft by 40 ft
6 ft by 8 ft
32 Joan and Malcolm each have a kite. Joan says
their kites are similar, but Malcolm says they are
not similar.
ular to line q, and line p intersects lines r and t.
Who is correct and why?
If m6 1 + m6 2 = 160◦ , what is the measure of 6 3 ?
A Joan is correct because the kites are both
isosceles.
A
B
C
D
◦
70
◦
80
90◦
110◦
Page 12
B Malcolm is correct because the ratio of the
sides are not proportional.
C Joan is correct because the bases of the kites
are the same.
D Malcolm is correct because his kite is bigger.
Go On
MCT2 Grade 8 Math 2008
MA:08
33 Trina recorded the total number of people at the ice-skating rink and the highest temperature during the day
over a period of fourteen days.
Based on the scatter plot, what can Trina interpret about the relationship between the highest temperature
during the day and the number of people at the ice skating rink.
A
B
C
D
More people skated when the calendar was colder.
More people skated when the calendar was warmer.
No one likes to skate when the temperature is below zero.
There is no relationship between the temperature and the people skating.
34 What is the value of the expression below?
3
2 · 7 + 4 ÷ 2
A
B
C
D
13
20
39
46
Page 13
35 The measures of two angles of a triangle are 80
and 40 degrees.
What is the measure of the third angle of the
triangle?
A
B
C
D
40◦
60◦
80◦
90◦
Go On
MCT2 Grade 8 Math 2008
36 Marie’s homeroom teacher is choosing 2 of his
18 students to be office aides for the day. If the
teacher randomly chooses 2 students at the same
time, what is the probability that Marie will be
chosen?
A
B
C
D
MA:08
39 Which two angles in the figure shown below are
alternate exterior angles?
1
18
1
9
8
9
17
18
37 What is the value of the expression below when
x = 8?
3x2 − 17
A
B
C
D
7
31
175
559
A
B
C
D
1 and 6 3
6
6
2 and 6 7
6
3 and 6 8
6
4 and 6 5
38 Lucinda determined the following information
about a group of six numbers.
· The median is 22.
· The mode is 19.
· The mean is 23.
Which group could be the six numbers Lucinda
used?
A
B
C
D
19, 16, 24, 19, 26, 28
22, 19, 22, 24, 26, 25
27, 23, 19, 21, 29, 19
19, 21, 25, 19, 26, 28
Page 14
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MCT2 Grade 8 Math 2008
MA:08
40 Which of the following represents the graph of a line that has negative slope?
A
C
B
D
41 Which graph best represents the solution set for this inequality?
1
x
5
> −1
A
B
C
D
Page 15
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MCT2 Grade 8 Math 2008
MA:08
42 Which of the following correctly applies the
45 Todd paid $534.00 for a bicycle. His father loaned
Distributive and Commutative Properties to the
expression below?
him 75% of the money. Todd has to pay back 60%
of the loan from his first paycheck and 40% of
the loan from his second paycheck. Todd gave his
father $200.25 from his first paycheck.
4 (5z + 3x) + 7z
A
B
C
D
12x + 12z
Did Todd give his father the correct amount?
3x + 20z + 7z
12x + 20z + 7z
12x + 20x + 28z
43 In the diagram below, line p is a transversal for
lines q and r .
A No, because his first payment should have been
$240.30.
B No, because he owes his father $400.50.
C Yes, because he gave his father half of what he
owed him.
D Yes, because he only needed to give his father
$160.20.
46 Which is closest to the value of this expression?
√
52.1
A
B
C
D
If lines q and r are parallel, which of the following
angles is NOT congruent to angle x?
A
B
C
D
k
8
26
104
47 A farmer is planting a field shaped like a rectangle.
The length of the field is 1.65 × 102 feet, and the
width is 1.5 × 103 feet.
What is the area, in square feet, of the field?
l
m
n
44 Which value for x makes the inequality true?
− 15 x
A
B
C
D
7
+ 4 ≤ 39
A
B
C
D
2.475 × 105
2.475 × 106
3.15 × 105
3.15 × 106
x ≤ 175
x ≥ 175
x ≥ −175
x ≤ −175
Page 16
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MCT2 Grade 8 Math 2008
48 Terrance bought a beach ball that has a diameter
of 10 inches, as shown below.
MA:08
50 Olga is 5 feet tall. A streetlight is 18 feet tall.
Olga’s shadow cast by the streetlight is 3 feet long.
Which is closest to the surface area of the beach
ball? (Use 3.14 for π .)
A
B
C
D
126 in.2
Which explanation tells how to find the distance, in
feet, between Olga and the base of the streetlight?
251 in.2
A Multiply the height of the streetlight by the
2
ratio of Olga’s height to the length of her
shadow.
314 in.
1256 in.2
B Multiply the height of the streetlight by the
49 Steve has two square-shaped posters of different
ratio of the length of Olga’s shadow to her
height.
sizes. The total area of both posters is 120 square
inches. The area of the larger poster is two times
the area of the smaller poster.
C Multiply the height of the streetlight by the
If x represents the area of the smaller poster, which
equation can be used to determine the area, in
square inches, of the smaller poster?
D Multiply the height of the streetlight by the
A
B
C
D
ratio of Olga’s height to the length of her
shadow, and then subtract 3.
ratio of the length of Olga’s shadow to her
height, and then subtract 3.
120 − 2x = x
120 (2x) = x
120 − x = x
120 + 2x = x
Page 17
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MCT2 Grade 8 Math 2008
MA:08
51 Kaleb surveyed the students in the school band about their favorite color. He recorded the results in the
following bar graph.
Which measure of central tendency should Kaleb use to best represent the data?
A
B
C
D
Mean
Mode
Range
Median
52 The pre-algebra class conducted a survey of the
53 Susan scored an 88 on her last math test. Her
8th grade students to determine what type of items
they should sell for a fundraiser. The teacher told
them to select the appropriate measure of central
tendency for the data they collected.
scores before the last math test were 95, 89, 90,
and 93.
Which of the following statements would help
them decide which measure of central tendency to
use for their survey?
A The median is a better measure to use when the
data set has an extreme high or low value.
What score must Susan make on the next test in
order receive a mean score of 90?
A
B
C
D
85
88
90
91
B The mode is most appropriate when the data is
not numerical.
C The mean is the average of the numbers in the
data set.
D The range of data will vary depending on how
many students they survey.
Page 18
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MCT2 Grade 8 Math 2008
MA:08
54 Which of the following best represents the graph of the function containing each of the ordered pairs shown
in the table below?
A
C
B
D
55 Which graph best represents the solution set for this inequality?
x − 4 ≤ 0
A
B
C
D
Page 19
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MCT2 Grade 8 Math 2008
MA:08
56 Which phrase describes characteristics for the
58 Based on the past twenty years, the probability for
graph of the line connecting the points in this
table?
the weather pattern in a town for any given day in
December is shown in the table below.
A A line with a negative slope that crosses the xaxis at 5
B A line with a negative slope that crosses the yaxis at 5
C A line with a positive slope that crosses the xaxis at 5
D A line with a positive slope that crosses the yaxis at 5
57 Which is equivalent to the expression below?
Based on the information in the table, what is the
probability that it will NOT snow in this town on
any day in December?
A
B
C
D
1
31
3
20
2
5
3
5
(−4gh) (−10gh)
A
B
C
D
−14gh
−14g 2 h2
40gh
40g 2 h2
Page 20
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MCT2 Grade 8 Math 2008
MA:08
59 The graph of a linear equation is shown below.
Which of the following best represents the slope,
m, and the y-intercept, b, for the graph of the linear
equation?
A m = -2
b = -2
B m = -2
b = -1
C m = − 12
b = -2
D m = − 12
b = -1
Page 21
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MCT2 Grade 8 Math 2008
MA:08
60 Maddie has two similar rectangular flower beds, as shown below.
What is the value of w, the width of the larger flower bed?
A
B
C
D
3 feet
6 feet
9 feet
15 feet
Page 22
STOP