Diocese of Davenport
8 Grade
th
Math
Assessment
2009
Do not write in this test booklet.
DIRECTIONS:
The following test has multiple choice questions.
Read the story and then on the multiple choice questions please review all of the choices and select the one you
think best answers the question.
SAMPLE QUESTION:
1. Which of these would you find growing in a desert?
A. A maple tree
B. A dandelion
C. A cactus
D. A corn plant
CODES:
Bettendorf Lourdes
Burlington Notre Dame
Clinton Prince of Peace
Dav. Assumption
Dav. All Saints
Dav. JFK
Dav. St. Paul the Apostle
DeWitt St. Joseph
Holy Trinity
Iowa City Regina
Keokuk Catholic
Muscatine Bish. Hayes
Ottumwa Seton
Washington St. James
01
02
04
05
06
07
08
09
10
11
12
13
14
15
Do not write in this test booklet.
1. A total of 28 handshakes were exchanged at a party.
Each person shook hands exactly once with each of the
others. How many people were present at the party?
A. 26 people
B. 8 people
C. 27 people
D. 6 people
E. 10 people
2. Barry spent $45 from his savings for a bicycle helmet.
He had $115 left in his savings. How much did he have
before he bought the helmet?
A. $155
B. $70
C. $160
D.65%
E. $2.50
3. A shake from Jake’s Shakes uses 2 tsp vanilla, 2 scoops
of ice cream, 4 oz fresh banana and ½ cup milk. A
banana (without the peel) weighs 6 oz. on average.
How many whole bananas must Jake order so that he
can make 500 shakes? What information given is not
needed to solve the problem?
A. 2 tsp vanilla and 4 oz fresh bananas
B. 2 scoops of ice cream and ½ cup milk
C. ½ cup milk and an average banana weighs 6 oz
D. 500 shakes and ½ cup milk.
E. All information is needed.
4. Carla’s school offers French, Spanish, and Japanese.
There are 7 more students enrolled in Spanish than in
French. Twice as many students are taking Spanish as
Japanese. There are 19 students enrolled in Japanese.
How many students are taking Spanish?
A. 45 students
B. 33 students
C. 26 students
D. 38 students
E. 31 students
5. The formula d = 16t2 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
6. Twenty-three students and 35 out of 48 parents came
to the dinner. About what percent of parents came to
the dinner?
A. 2.1%
B. 72.9%
C. 1.37%
D. 65.7%
E. 137%
7. Add the numbers 7/10, 7/100, and 7/1,000. Write this sum
as a decimal.
A. 0.700
B. 0.777
C. 0.007
D. 0.707
E. 0.077
8. In which of the following are the three fractions
arranged from least to greatest?
A. 2/7, ½, 5/9
B. ½, 2/7, 5/9
C. ½, 2/7, 5/9
D. 5/9, ½, 2/7
E. 5/9, 2/7, ½
9. 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
Do not write in this test booklet.
10. 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%
11. The mean distance from Venus to the Sun is 1.08 x 108
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
12. Alba needed to know about how much the sum of
19.6, 23.8 and 38.4 is. She correctly rounded each of
these numbers to the nearest whole number. What
three numbers did she use?
A. 19, 23, 38
B. 19, 24, 38
C. 20, 24, 38
D. 20, 24, 39
E. 20, 23, 39
13. 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
14. 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
15. 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%
16.
What number is represented by point A on the number
line above?
A. 0.0010
B. 0.0054
C. 0.0055
D. 0.006
E. 0.055
17. What is the Roman Numeral CXXIV in standard form?
A. 124
B. 126
C. 74
D. 76
E. 1024
18. If there are 300 calories in 100 g of a certain food, how
many calories are there in a 30 g portion of this food?
A. 90
B. 100
C. 900
D. 1000
E. 9000
19. What is the prime factorization of 504?
A. 56 x 9
B. 32 x 72 x 22
C. 63 x 8
D. 23 x 7 x 32
E. 126 x 4
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20. Two hundred twenty-five is what percent of 300?
A. 25%
B. 225%
C. 75%
D. 60%
E. 80%
25. If k represents a negative number, which of these is a
positive number?
A. k2
B. k3
C. 2k
D. k ÷ 2
E. 3k
21. What numeral makes the number sentence true?
26. Which is another way to write 42 x 43?
A. 45
B. 46
C. 166
D. 165
E. 41
|q| < 8
A. 2
B. 8
C. -9
D.-12
E. -8
22. Which of the following is true when a, b, and c are
different real numbers?
A. a – b = b – a
B. a(b – c) = b(c – a)
C. b – c = c – b
D. ab = ba
E. a ÷ b = b ÷ a
23. In which order should the operations be
performed in the expression below?
20 – 10 x 5 + 8 ÷ 4
A. multiply, divide, subtract, add
B. multiply, add, divide, subtract
C. subtract, multiply, add, divide
D. subtract, add, multiply, divide
E. add, subract, divide, multiply
24. If x = 3, what is the value of
(5x + 3) ÷ (4x – 3)?
A. 2
B. 8
C. 9
D. 18
E. 1.4
27. What temperature would be
15 degrees F more than the
temperature shown on the
thermometer to the left?
A. -20° F
B. -10° F
C. 10° F
D. 15° F
E. 20° F
28. A rectangular playground
has a perimeter of 390 feet.
The width of the playground
of 75 feet. What is the
length?
A. 5.2 feet
B. 97.5 feet
C. 120 feet
D. 130 feet
E. 240 feet
29. 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
Do not write in this test booklet.
30. 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. 100
33. 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
31.
34.
Which of the following lists the angles shown above in the
order of measure from the smallest to the largest?
A. 1, 2, 3, 4
B. 2, 3, 4, 1
C. 3, 2, 1, 4
D. 3, 1, 4, 2
E. 4, 2, 1, 3
32. The distances around a circular pond are shown below.
From the snack bar, Jake notices an island in the center
of the pond.
Of the following, which is the best approximation of
the distance from the snack bar to the center of the
island?
A. 16 yards
B. 20 yards
C. 32 yards
D.50 yards
E. 64 yards
35. Both figures below show the same scale. The marks on
the scale have no labels except the zero point.
The weight of the cheese is ½ pound. What is the total
weight of the two apples?
A. 1 ¾ pounds
B. 1 ½ pounds
C. ¼ pounds
D.2 pounds
E. 1 pound
What is the area of the shaded figure?
A. 9 square centimeters
B. 11 square centimeters
C. 13 square centimeters
D. 14 square centimeters
E. 17 square centimeters
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36. 39. The circle above has center O. If the length of the
darkened arc is 1/6 of the circumference, what is the
degree measure of <AOB?
A. 75°
B. 60°
C. 45°
D. 36°
E. 30°
37. When the two tiles are partially overlapped, different
geometric figures are formed by the overlapping parts.
One example is shown above. Which of the following
figures cannot be formed by the overlapping parts
of the two tiles?
A. Triangle
B. Rectangle
C. Square
D.Five-sided figure
E. Nine-sided figure
40. Which of these shapes are cylinders?
A. 1 and 2
B. 1 and 3
C. 2 and 4
D. 3 and 4
E. 1 and 4
Which of the following can be folded to form the prism
above?
A.
38. D.
B.
E.
What kind of triangle is shown above?
A. Equilateral
B. Isosceles
C. Scalene
D. Acute
E. Obtuse
C.
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41.
45. The graph shows the gold reserves in the U.S. from
1980 to 2000. If the trend continues, about how many
millions of dollars will be in gold reserve in the U.S. in
2010?
In the congruent figures below, which part of figure 2 corresponds with CD in figure 1?
A. KL
B. NM
C. OP
D. ON
E. DC
42.
The figure above shows two right angles. The length of
AE is x and length of DE is 40. Find the value of x.
A. 15
B. 120
C. 36
D. 20
E. 13.3
A. 260
B. 264.5
C. 263
D. 261.5
E. 259
46.
43. 4, 8, 3, 2, 5, 8, 12
Stem & Leaf
Stem Leaf
2 0 0158
3 1 118999
4 0 23
6 9
What is the range and the outlier of the data?
A. Range 89 Outlier 69
B. Range 69 Outlier 40
C. Range 49 Outlier 69
D. Range 31 Outlier 20
E. Range 49 Outlier 20
What is the median of the numbers above?
A. 4
B. 5
C. 6
D.7
E. 8
44. What kind of correlation, if any, does the scatter plot
show?
A. positive correlation
B. negative correlation
C. no correlation
D. correlation of 1
E. mixed correlation
Do not write in this test booklet.
FINAL TEST SCORES
Score
FINAL TEST SCORES
Number of Students
95
50
90
120
85
170
80
60
180
160
140
120
100
80
60
40
20
0
FINAL
FINAL
TESTTEST
SCORES
75 SCORES
10
75
80
85
90
95
FINAL
FINAL
TESTTEST
SCORES
SCORES
Score
Number
of Students
Score ScoreNumber
Score
180 180
A. of Students
B.
FINAL TEST SCORES
FINAL
TEST
SCORES
160 160
95 50
90
A.
A.
180
160
140
120
100
80
60
40
20
0
75
80
75
C.
Number of Students
95
80
80
85
90
85 95
90
Score
ScoreScore
95
CORES
90
180
160
140
120
100
80
60
40
20
0
75
85
90
FINAL
FINAL
TESTTEST
SCORES
SCORES
Score
B.
95
75
80
85
90
180
160
140
120
100
80
60
40
20
0
90
FINAL
FINAL
TESTTEST
SCORES
SCORES
Score
180
160
140
120
100
80
60
40
20
0
75
80
75
80
85
90
85 95
90
95
180
160
140
120
100
80
60
40
20
0
D. A and B are correct.
E. A and C are correct.
95
48. Gloria’s diving scores from a recent competition are
represented in the stem-and-leaf plot shown below. In
this plot, 3 | 4 would be read as 3.4.
5
6
7
8
180
160
140
120
100
80
60
40
20
0
FINAL TEST SCORES
75
25
1
7
02
What was her lowest score for this competition?
A. 0.02
B. 1.0
C. 2.5
D. 5.2
E. 0.5
80
Street
Number of Houses
85Konini
90 95
30
Rimu
21
C.
FINAL
FINAL
TESTTEST
SCORES
SCORES
Score
180
160
140
120
100
80
60
40
20
0
75
80
75
The pictograph below represents the number of houses
in each street.
80
85
90
85 95
90
ScoreScore
Score
Score
95
C.
ScoreScore
FINAL TEST SCORES
180
160
140
120
100
80
60
40
20
0
95
B.
C.
50. The table shows the number of houses on two streets of
a town, Komini Street and Rimu Street.
Number of Students
10
120
100
80
60
40
80
75 80
85
85 95
90 95
20 90
0Score
Score
75 80 85
Number of Students
60
75 10
Number of Students
80 60
75
Number of Students
80
Number of Students
85 170 170
120
100
80
60
40
20
0
Number of Students
90
140 140
120 120
100 100
80 80
60 60
40 40
20 20
0
0
75
Number of Students
180 represents the
180 bar graphs below correctly
Which of the
160
90 120 120 160
140
140 from the table above.
information
85
SCORES
50
Number of Students
95
49. A survey is to be taken in a city to determine the most
popular sport. Would sampling opinions at a baseball
game be a good way to collect this data?
A. Yes, baseball fans have strong opinions.
B. No, the crowd is too small.
C. No, sample of people is biased to baseball.
D.Yes, because baseball is a sport.
E. Not enough infomation to decide.
Number of Students
47.
95
Komini St.
Rimu St.
How many houses does one
A. 5
B. 6
C. 1
D.12
E. 3
represent?
51. A box contains 3 chips numbered 1 through 3. One
chip will be taken at random from the box and then
put back into the box. Then a second chip will be taken
from the box.
How many combinations of two chips are there?
A. 5
B. 18
C. 6
D.9
E. 4
Do not write in this test booklet.
52. The eleven chips shown below are placed in a bag and
mixed.
2
10
3
11
5
12
6
14
8
18
20
Chelsea draws one chip from the bag without looking.
What is the probability that Chelsea draws a chip with
a number that is a multiple of three?
A. 1/11
B. 1/3
C. 4/11
D. 4/7
E. 11/4
53. A bag contains 4 red, 5 white, and 2 blue marbles. Find
the probability of obtaining a white or a blue marble in
a single draw.
A. 9/11
B. 7/11
C. 6/11
D. 1
E. 0
54. A six-sided die is rolled 150 times. The number four
comes up 28 times.
What is the theoretical probability of rolling a four?
What is the experimental probability of rolling a four?
A. Theoretical 1/6
Experimental 75/14
B. Theoretical 1/6
Experimental 14/75
C. Theoretical 6
Experimental 150/28 D.Theoretical 14/75
Experimental 1/6
E. None of the above
A. Independent events
B. Unfair game
C. Dependent events
D. Fair game
E. None of the above.
57. The temperature in degrees Celsius can be found by
subtracting 32 from the temperature in degrees
Fahrenheit and multiplying the result by 95-. 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
58. If k can be replaced by any number, how many
different values can the expression k + 6 have?
A. None
B. One
C. Six
D. Infinitely many
E. 6k
59. The table shows a relation between x and y.
x
y
55. Which of the following describes the results of
two consecutive rolls of a number cube?
56. A bag contains 8 blue marbles and 5 black marbles.
Find the probability of drawing a black marble.
A. 8/5
B. 5/8
C. 5/13
D. 8/13
E. 13/5
2
7
3
10
4
13
5
16
Which of these equations expresses this
relationship?
A. y = x + 5
B. y = x – 5
C. y = 1/3 (x + 1)
D. y = 3x + 1
E. y = 3x - 1
60. In the equation y = 4x, 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.
Do not write in this test booklet.
61. If 15 + 3x = 42, the x =
A. 9
B. 11
C. 12
D. 14
E. 19
Use the graph below to answers questions 63 – 66.
62. What is the least whole number x for which
2x > 11?
A. 5
B. 6
D. 9
D. 22
E. 5.5
63. Which is the slope of the line through A and C?
A. -½
B. ½
C. -2
D. 2
E. 0
64. What is the x-intercept of the line through
A and B?
A. -1
B. 0
C. 1
D. 2
E. -2
65. What is the y-intercept of the line through
B and C?
A. -2
B. 0
C. 2
D. 4
E. -4
66. Simplify, if possible:
3x4 + 2x2 – 3 + 5x4 – x2 + 7
A. 8x4 + x2 + 4
B. 8x4 + 2x2 + 4
C. 8x8 + x4 + 4
D. 15x4-2x2-21
E. Already simplified
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67. If the points Q, R, and S shown above are three of the vertices of rectangle QRST, which of the following are the
coordinates of T (not shown)?
A. (4, -3)
B. (3, -2)
C. (-3, -2)
D. (-2, 3)
E. (0, -2)
68. The point (2, 3) is a solution of which system of
equations?
A. y = 3x – 3 and y = - x + 2
B. y = 2x – 1 and y = ½ x + 2
C. y = 2x + 1 and y = 3x – 3
D. y = -x + 2 and y = 2x + 1
E. None of the above.
69. 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
70. Who of the following is a famous mathematician:
A. Wolfgang Mozart
B. Gregor Mendel
C. Vincent VanGogh
D. E.B. White
E. Pythagoras
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