Download grade 8 mathematics

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VIRGINIA
STANDARDS OF LEARNING ASSESSMENTS
Spring 2002 Released Test
GRADE 8
MATHEMATICS
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Property of the Virginia Department of Education
䉷 2002 by the Commonwealth of Virginia Department of Education, James Monroe
Building, 101 N. 14th Street, Richmond, Virginia, 23219. All rights reserved. Except
as permitted by law, this material may not be reproduced or used in any form or by
any means, electronic or mechanical, including photocopying or recording, or by any
information storage or retrieval system, without written permission from the
copyright owner. Commonwealth of Virginia public school educators may photocopy or
print any portion of these Released Tests for educational purposes without requesting
permission. All others should direct their requests to the Commonwealth of Virginia
Department of Education at (804) 225-2102, Division of Assessment and Reporting.
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Mathematics
3
DIRECTIONS
Read and solve each question. Then mark the
space in the answer booklet for the best answer.
72 ⴑ (7 ⴐ 8) • 4 is equivalent to —
292
B 260
C 87
D 12 墍
A
SAMPLE
Vicki had $228 in her checking
account. She used $37 to buy a
birthday gift for her grandmother.
After that, how much did she have left
in her checking account?
4
$211
B $191 墍
C $181
D $164
A
M6030103
墌
C
L
2
M6010504
墌
7
⫽ 0.7 ⫽ 70%
10
H
2
1
⫽ 2.5 ⫽ 25% 墍
2
J
3
3
⫽ 3.375 ⫽ 337.5%
8
2002 Commonwealth of Virginia Department of Education
8
16
6
4
4
20
What was the ratio of field goals made
to field goals attempted?
Which of the following is not true?
G
C
Points
Points
Field
Field
Free
Free
from
from Total
Goals Goals
Throws Throws
Field
Free Points
Attempted Made
Attempted Made
Goals
Throws
0
B 1
C 2 墍
D 3
C
墍
Linda's Basketball Statistics
A
2
⫽ 0.4 ⫽ 40%
5
C
M6020501
How many factors does a prime
number have?
F
墍
Linda is keeping a record of her scores
and entered these statistics after her
first basketball game.
12
1
M7030505
3
F
1
2
G
2
墍
3
H
3
4
J
3
2
ArtCodes
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5
7
Loretta is filling numbers in the Venn
diagram. No number is to be entered
more than once.
M7020504
墌
C
Factors of 45
1
B 1
C 1
D 1
A
Factors of 60
ArtCodes
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Harold was looking at a scale drawing
of a city park. A reflection pool 27
meters long measured 1.8 centimeters
on the drawing. Which is most likely M8010507
墍
the scale used to make the drawing?
C
3
cm
cm
cm
cm
represents
represents
represents
represents
9m
12 m
15 m 墍
18 m
5
2
9
4
8
6
If a ⴐ b ⴔ a, then b equals —
⫺1
G 0 墍
H 1
J ⫺a
F
What is the greatest number that can
be appropriately placed in the shaded
area of the diagram?
5
B 10
C 15 墍
D 180
A
6
M8030203
墌
C
L
Which is an integer?
F
⫺19 墍
G
1.5
H
公2
J
1
3
2002 Commonwealth of Virginia Department of Education
4
M704C501
墍
C
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M8060507
墌
C
10
M8040514
12
Between what two consecutive whole
numbers does 公95 lie?
the base for a lamp. The pieces were
5
3
1
inch thick, inch thick, and
inch M8040138
墍
4
8
16
thick. How thick was the base for the C
7 and 8
B 8 and 9
C 9 and 10 墍
D 10 and 11
A
L
lamp?
1
A recipe calls for 3 cups of flour and
4
1
1 cups of sugar. If the recipe is
2
doubled, how much flour will be
墌
C
Mark layered 3 pieces of wood to build
F
7
in.
16
G
9
in.
16
H
15
in.
16
J
1
1
in. 墍
16
required?
F
3 cups
G
3
13
1
cups
4
What is the value of n2(m ⴐ r) if
m ⴔ 3, n ⴔ 2, and r ⴔ 4?
28 墍
B 16
C 14
D 9
A
3
H 4 cups
4
J
6
1
cups 墍
2
14
11
M8040505
墌
C
David earns $9.60 per hour for a
40-hour week. What was his net pay for
a week in which his total deductions
were $84.30?
$12.96 墍
G $13.98
H $15.92
J $25.87
F
$93.90
B $299.70 墍
C $315.70
D $384.00
A
2002 Commonwealth of Virginia Department of Education
At the video rental shop, 5 movies can
be rented for $6.99. Each additional
movie rental is $1.99. What would be
the total cost of renting 8 movies?
5
M8050511
墍
C
M8040517
墍
C
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15
What is the value of
y2
ⴐ y2 ⴑ 12,
5
16
when y ⴔ 5?
M8050207
墌
C
L
This shows 3 different views of a
three-dimensional figure made from
cubes.
13
B 16
C 18 墍
D 22
A
Top
Front
Side
Which could be a drawing of the
figure?
M7130502
墍
C
F
ArtCodes
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G
ArtCodes
M7130502.AR2
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M7130502.AR4
M7130502.AR5
H
J
2002 Commonwealth of Virginia Department of Education
6
墍
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19
B
Look at the design below.
E
M7120401
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墌 A
C
ArtCodes
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C
D
墍
F
C
If ⌬ABC is similar to ⌬DEF, which of
the following must be true?
A
B
ArtCodes
M7110502.AR1
DE
AB
⫽
AC
EF
Which term identifies the shaded part
in the center of the design?
AC
AB
⫽
DF
EF
Heptagon 墍
B Pentagon
C Nonagon
D Decagon
A
C
DE
AB
⫽
BC
DF
D
AC
AB
⫽
墍
DE
DF
y
20
M8090116
18
墍
Section ABC and section EBD of the
flower garden contain roses. AE and
CD are straight line segments.
3
2
M8070115
C
L
D
ArtCodes
1
墌
A
C
L
1
A
B
D
B
ArtCodes
M8090116.AR1
2
3
x
C
C
M8070115.AR1
E
Which white triangle shows where the
black triangle would be if reflected
across the x-axis?
If ∠ ABC measures 38ⴗ, what is the
measure of ∠ EBD?
A
G B 墍
H C
J D
F
38⬚ 墍
G 52⬚
H 90⬚
J 142⬚
F
2002 Commonwealth of Virginia Department of Education
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M609B504
墌
C
24
Which of the following indicates the
greatest weight?
The wheel rim has a diameter of
15 inches.
600 pounds
B 0.25 tons
C 9,000 ounces
D 0.5 tons 墍
A
M6120503
墍
C
ArtCodes
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22
M6110503
墌
C
Su Li wants to place a protective
covering over a rectangular flower bed
that measures 3.2 meters by 4.3 meters.
How many square meters of covering
will she need?
Which is closest to the inside
circumference of the tire designed to
fit on the rim?
47.1 in. 墍
G 94.2 in.
H 176.6 in.
J 706.5 in.
F
7.5
G 13.76 墍
H 15.0
J 27.52
F
25
23
Which figures appear to be congruent?
Look at the angles in this
quadrilateral.
M6130501
1
2
M6150101
墌
A
C
L
4
ArtCodes
3
Which angle measure is closest to 48ⴗ?
∠1
B ∠2
C ∠3
D ∠4 墍
A
B
D
A and B
B B and D
C C and D
D D and A 墍
A
2002 Commonwealth of Virginia Department of Education
C
ArtCodes
M6130501.AR1
C
M6150101.AR1
墍
8
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26
M7080505
墌
27
A grid is placed over a cross-sectional
drawing of a molding. Each square of
the grid represents one square
centimeter.
The cylindrical cannister of this fire
extinguisher has a radius of 2.5 inches
and is 13.5 inches high.
M7090505
墍
C
C
ArtCodes
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ArtCodes
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13.5 in.
How many square centimeters are
contained in the area of the cross
section?
44
G 96
H 108 墍
J 208
F
2002 Commonwealth of Virginia Department of Education
Which is closest to the number of cubic
inches it will hold when filled?
1,060
B 265 墍
C 212
D 115
A
9
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M8080208
墌
As part of an art project, Billy has to
paint the surface area of a
square-based pyramid. The pyramid
has the dimensions shown.
29
This is a cross section of the design of
a bookshelf.
M8110505
墍
15 in.
C
L
C
C
ArtCodes
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9 in.
ArtCodes
20 in.
M8080208.AR1
7 in.
B
What is the total surface area of the
pyramid?
441
G 301
H 252
J 175
F
sq
sq
sq
sq
in.
in.
in.
in. 墍
Which is closest to the length, in
inches, of the brace indicated by BC in
the sketch?
25 in. 墍
B 30 in.
C 32.5 in.
D 35 in.
A
2002 Commonwealth of Virginia Department of Education
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31
This net represents the surface area of
a solid figure.
The chart shows the pizza menu for
the local pizza parlor.
M8100504
M7180502
墌
墍
Pizza
C
Size
ArtCodes
Small
M8100504.AR1
Medium
Which drawing represents the figure?
Large
Extra Large
F
Crust
Thin
Original
Thick
C
Toppings
Pepperoni
Hamburger
Cheese
Sausage
墍
ArtCodes
Which of the following shows the total
number of ways Andy can buy a pizza
with one topping?
M8100504.AR2
M8100504.AR3
M8100504.AR4
M8100504.AR5
4⫹3⫻4
B 4 ⫻ 3 ⫻ 4 墍
C (4 ⫻ 3) ⫹ (4 ⫻ 3)
D (4 ⫻ 4) ⫹ 3
A
G
H
J
2002 Commonwealth of Virginia Department of Education
11
ArtCodes
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32
The table shows the number of
birthday cards a shop sold each day
in a two-week period.
33
The stem-and-leaf plot shows the
highest January temperature in
degrees Fahrenheit for 10 U.S. cities.
M7200101
M7210505
墌
C
L
墍
Sun. Mon. Tues. Wed. Thur. Fri.
15
ArtCodes
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8
12
18
Sun. Mon. Tues. Wed. Thur. Fri.
Sat.
7
9
9
8
8
12
10
8
15
Stem
3
4
5
6
Sat.
14
4
B 5 墍
C 6
D 7
A
F
7
8
9 10 11 12 13 14 15 16 17 18 19
Number of Birthday Cards Sold
M7200101.AR2
M7200101.AR3
M7200101.AR4
M7200101.AR5
墍
G
7
8
9 10 11 12 13 14 15 16 17 18 19
Number of Birthday Cards Sold
H
7
8
9 10 11 12 13 14 15 16 17 18 19
Number of Birthday Cards Sold
J
7
8
9 10 11 12 13 14 15 16 17 18 19
Number of Birthday Cards Sold
2002 Commonwealth of Virginia Department of Education
C
ArtCodes
M7210505.AR1
In how many cities is the highest
January temperature above 45 degrees
Fahrenheit?
Which line plot displays this
information?
ArtCodes
Leaf
7, 8, 9
2, 2, 6, 7
3, 4
0
12
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34
M8140506
墌
C
Three clubs participated in a
fundraiser. Club A sold 128 candy bars
and 56 drinks. Club B sold 78 candy
bars and 89 drinks. Club C sold
97 candy bars and 123 drinks. Which
matrix best organizes and displays the
data?
F
Club
A
B
C
G
Club
A
B
C
H
Club
A
B
C
J
Club
A
B
C
35
10%
B 20%
C 30% 墍
D 40%
A
Candy Drinks
128
56
冤
97
123
78
89
冥
Candy Drinks
78
89
冤
97
123
128
56
冥
Candy Drinks
78
89
冤
128
89
97
123
冥
Candy Drinks
128
56
冤
78
97
冥
89 墍
123
2002 Commonwealth of Virginia Department of Education
On your first draw, what is the
probability of drawing a red card,
without looking, from a shuffled deck
containing 6 red cards, 6 blue cards,
and 8 black cards?
13
M7170503
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C
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M7170502
墌
C
A package contains 7 bags of tortilla
chips, 3 bags of cheese puffs, 4 bags of
potato chips, and 6 bags of corn chips.
If Steve reaches into the package and
selects one bag without looking, what
is the probability he will choose potato
chips?
F
2
20
G
1
墍
5
H
3
10
J
7
20
37
The graph shows the number of CDs
sold each year at a small music store.
M8130512
墍
C
CD Sales
2,500
2,000
Number of CDs Sold
36
1,500
1,000
500
0
Year 1
Year 2
Year 3
Year 4
Year 5
ArtCodes
Year of Business
M8130512.AR1
If the number of CDs sold each year
continues to increase as shown in the
plot, which is the best prediction of the
number of CDs the store will sell
during its 8th year of business?
3,400
B 3,000
C 2,400 墍
D 2,000
A
2002 Commonwealth of Virginia Department of Education
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38
These cards are used to play a game
between two players.
39
Soccer is the world’s most popular
sport. The table lists the records of 5
World Cup winners.
M6200501
M7190403
墌
墍
C
Country Games Games Ties Total
Won
Lost
Points
ArtCodes
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If Sally draws one card at random,
what is the probability it will be a card
with a star?
Argentina
24
15
9
57
Brazil
44
11
11
99
England
18
11
12
48
Italy
31
11
12
74
West
Germany
39
14
15
93
F
2
墍
5
G
3
10
What was the mean number of total
points scored by these teams?
H
1
5
A
J
1
10
2002 Commonwealth of Virginia Department of Education
51
B 74
C 74.2 墍
D 99
15
C
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40
M7200205
墌
Which scatterplot best shows the
relationship between a person’s height
and the time that person spends
watching television?
41
墍
C
L
C
F
M7200205.AR1
M7200205.AR2
M7200205.AR3
M7200205.AR4
Activity
Band
Drama
Math/
Science Club
Sports
inches
ArtCodes
Harry asked several classmates to
name their favorite after-school
activity and showed the results in this
M6180501
table.
Number of Students
12
6
ArtCodes
M6180501.AR1
6
24
hours
Which graph correctly displays this
information?
Favorite Activities
G
inches
Band
Sports
墍
A
Drama
Math/Science Club
hours
Favorite Activities
Band
Sports
Drama
H
inches
B
Math/Science Club
Favorite Activities
Band
hours
Sports
Drama
C
J
inches
Math/Science Club
墍
Favorite Activities
Band
Sports
hours
D
Drama
Math/Science Club
2002 Commonwealth of Virginia Department of Education
16
ArtCodes
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M6180501.AR3
M6180501.AR4
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42
The box-and-whisker plot shows the
class sizes in 15 schools.
44
In the center section of an auditorium,
each row has 2 more seats than the
row in front of it.
M6180518
M6210505
墌
墍
C
C
22
24
26
28
30
32
34
36
ArtCodes
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STAGE
Which statement concerning the class
sizes must be true?
ArtCodes
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The range of size is 8.
G The largest class is 31.
H Half of the classes are larger than 23.
J The median class size is 28. 墍
F
Row 1
Row 2
Row 3
43
M7230104
墌
C
L
Hilary has $9 less than Barbara.
Together they have $21. If x represents
Barbara’s money, which of the
following expresses this relationship?
Row 4
The front row of the section contains
23 seats. How many seats are in the
10th row from the stage?
(x ⫹ 9) ⫹ x ⫽ 21
B (x ⫺ 9) ⫹ x ⫽ 21 墍
C x ⫺ 9 ⫽ 21 ⫹ x
D x ⫽ 21 ⫹ x ⫺ 9
A
33
G 39
H 41 墍
J 43
F
45
What value of c makes the sentence
5(c ⴑ 0.15) ⴔ 2.50 true?
0.47
B 0.53
C 0.63
D 0.65 墍
A
2002 Commonwealth of Virginia Department of Education
17
M8160133
墍
C
L
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M8190506
墌
C
The sonar system of a submarine
receives an echo back from a ship
5,000 yards away after 6.1 seconds. It
picks up an echo from a second ship
after 8.4 seconds. Which proportion
could be used to find the distance to
the second ship?
F
8.4
6.1
⫽
墍
5000
x
G
x
6.1
⫽
8.4
5000
H
x
8.4 ⫺ 6.1
⫽
8.4
5000
J
6.1
2.3
⫽
5000
x
49
Elizabeth drove 432 miles on the
second day of a trip, which was
17 miles more than five times as far as
she drove on the first day. How many M725B506
墍
miles did she drive on the first day?
C
61
B 83 墍
C 84
D 90
A
50
The number of diagonals that can be
drawn in a polygon with n sides can be
n(nⴑ3)
M8150513
. How many
determined by
墍
2
diagonals can be drawn in a polygon C
with 10 sides?
130
G 70
H 65
J 35 墍
F
47
3y = 7x – 9
M7240102
墌
C
L
ArtCodes
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48
M8190211
墌
C
L
Which best describes the circled
portion of the equation?
expression 墍
B variable
C term
D coefficient
A
There are 48 newborn girls in a
hospital nursery. For every 3 girls
there are 2 boys. How many newborn
boys are in the nursery?
72
G 48
H 32 墍
J 24
F
2002 Commonwealth of Virginia Department of Education
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y
51
53
Which table contains only values that
satisfy y ⴔ 3x ⴑ 5?
5
M7260501
M8180509
墌
4
C
P
3
ArtCodes
Q
2
A
M7260501.AR1
1
-5 -4 -3 -2 -1
O
1
2
3
4
5
x
-1
-2
R
S
-3
B
-4
-5
Which line segment connects (2, 3) and
(ⴑ3, ⴑ2)?
C
PQ
B PR 墍
C QS
D RS
A
M7220502
墌
2
0
2
1
–2
–11
x
y
1
3
5
2
4
10
x
y
墍
C
ArtCodes
M8180509.AR1
M8180509.AR2
M8180509.AR3
M8180509.AR4
–3 –14
墍
0 –5
3
4
y
–5 –15
0 –5
5
0
The table shows the relationship
between d, the number of days a
library book is overdue, and f, the
amount of the fine.
54
C
1
2
3
4
5
f $0.05 $0.10 $0.15 $0.20 $0.25
d
Martha’s grandfather at 63 years of age
is 6 years more than 3 times as old as
Martha. What is Martha’s age?
M725B503
17
G 19 墍
H 21
J 23
F
ArtCodes
M7220502.AR1
y
x
D
52
x
Which of the following describes the
relationship?
f
G f
H f
J f
F
⫽
⫽
⫽
⫽
0.05d 墍
d ⫹ 0.05
2d ⫹ 0.05
(d ⫹ 2)0.05
2002 Commonwealth of Virginia Department of Education
19
墍
C
SESSION: 26 PAGE: 20 4/23/102 8:50 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g8/DIV_g8mth-1
55
M725A202
墌
C
L
What is the solution to
x
B x
C x
D x
A
⫽
⫽
⫽
⫽
xⴐ5
ⴔ 12?
30
58
Which best represents the graph of
y ⴔ x ⴐ 3?
72
355 墍
365
1,800
M8170504
墍
y
C
5
4
3
2
F
1
2
3
4
5
x墍
1
2
3
4
5
x
1
2
3
4
5
x
1
2
3
4
5
x
1
-5 -4 -3 -2 -1
O
-1
-2
-3
-4
56
-5
Which of these is an inequality?
F
4x ⫽ 5y
G
3x ⫺ 6 ⫽ 12
M7240502
墌
C
y
5
4
H
3
x ⫺ 3x ⫹ 4
2
2
G
1
-5 -4 -3 -2 -1
3x ⬍ x ⫺ 2 墍
J
O
-1
-2
-3
-4
-5
57
twice the number of books divided by fifteen
y
5
M7230501
墌
C
ArtCodes
M7230501.AR1
4
Which represents the phrase in the
box?
A
3
2
H
15n
2
B
2n
墍
15
C
2⫹n
15
D
n
2(15)
1
-5 -4 -3 -2 -1
O
-1
-2
-3
-4
-5
y
5
4
3
2
J
1
-5 -4 -3 -2 -1
O
-1
-2
-3
-4
-5
2002 Commonwealth of Virginia Department of Education
20
ArtCodes
M8170504.AR1
M8170504.AR2
M8170504.AR3
M8170504.AR4
SESSION: 28 PAGE: 21 4/23/102 13:26 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g8/DIV_g8mth-1
59
M8160502
墌
Which is a solution for 5x ⴐ 2 ⴔ 9x ⴑ 4?
A
3
墍
2
B
2
3
C
C
D
60
⫺2
3
⫺3
2
n
n2
2
4
3
9
4
5
6
16 25 36
M6220305
墌
C
L
Which best describes the value of
(4.5)2 ?
ArtCodes
M6220305.AR1
Between 4 and 9
G Between 9 and 16
H Between 16 and 25 墍
J Greater than 25
F
2002 Commonwealth of Virginia Department of Education
21
SESSION: 26 PAGE: 22 4/23/102 8:50 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g8/DIV_g8mth-1
Answer Key
Test
Sequence
Correct
Answer
Reporting
Category
1
C
005
Number and Number Sense
2
H
005
Number and Number Sense
3
D
005
Number and Number Sense
4
G
005
Number and Number Sense
5
C
005
Number and Number Sense
6
F
005
Number and Number Sense
Reporting Category Description
7
C
005
Number and Number Sense
8
G
005
Number and Number Sense
9
C
006
Computation and Estimation
10
J
006
Computation and Estimation
11
B
006
Computation and Estimation
12
J
006
Computation and Estimation
13
A
006
Computation and Estimation
14
F
006
Computation and Estimation
15
C
006
Computation and Estimation
16
J
007
Measurement and Geometry
17
D
007
Measurement and Geometry
18
F
007
Measurement and Geometry
19
A
007
Measurement and Geometry
20
G
007
Measurement and Geometry
21
D
007
Measurement and Geometry
22
G
007
Measurement and Geometry
23
D
007
Measurement and Geometry
24
F
007
Measurement and Geometry
25
D
007
Measurement and Geometry
26
H
007
Measurement and Geometry
27
B
007
Measurement and Geometry
28
J
007
Measurement and Geometry
29
A
007
Measurement and Geometry
30
F
007
Measurement and Geometry
31
B
008
Probability and Statistics
32
G
008
Probability and Statistics
33
B
008
Probability and Statistics
34
J
008
Probability and Statistics
35
C
008
Probability and Statistics
36
G
008
Probability and Statistics
37
C
008
Probability and Statistics
38
F
008
Probability and Statistics
39
C
008
Probability and Statistics
40
J
008
Probability and Statistics
41
A
008
Probability and Statistics
42
J
008
Probability and Statistics
43
B
009
Patterns, Functions, and Algebra
44
H
009
Patterns, Functions, and Algebra
45
D
009
Patterns, Functions, and Algebra
SESSION: 26 PAGE: 23 4/23/102 8:50 LOGIN IS-pam PATH: @sun1/xydisk2/CLS_psycorp/GRP_virginia/JOB_537152g8/DIV_g8mth-1
Test
Sequence
Correct
Answer
Reporting
Category
Reporting Category Description
46
F
009
Patterns, Functions, and Algebra
47
A
009
Patterns, Functions, and Algebra
48
H
009
Patterns, Functions, and Algebra
49
B
009
Patterns, Functions, and Algebra
50
J
009
Patterns, Functions, and Algebra
51
B
009
Patterns, Functions, and Algebra
52
F
009
Patterns, Functions, and Algebra
53
C
009
Patterns, Functions, and Algebra
54
G
009
Patterns, Functions, and Algebra
55
B
009
Patterns, Functions, and Algebra
56
J
009
Patterns, Functions, and Algebra
57
B
009
Patterns, Functions, and Algebra
58
F
009
Patterns, Functions, and Algebra
59
A
009
Patterns, Functions, and Algebra
60
H
009
Patterns, Functions, and Algebra