VIRGINIA STANDARDS OF LEARNING
Spring 2008 Released Test
GRADE 6
MATHEMATICS
Form M0118, CORE 1
Property of the Virginia Department of Education
©2008 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120.
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 reproduce any
portion of these released tests for non-commercial educational purposes without requesting permission. All others should
direct their written requests to the Virginia Department of Education, Division of Student Assessment and School
Improvement, at the above address or by e-mail to [email protected].
Grade 6 Mathematics Formula Sheet
Geometric Formulas
s
h
A=
b
1
2
l
p = 4s
A = s2
bh
r
w
s
p = 2l + 2w
A = lw
Pi
22
7
Abbreviations
milligram
gram
kilogram
milliliter
liter
kiloliter
millimeter
centimeter
meter
kilometer
square centimeter
cubic centimeter
mg
g
kg
mL
L
kL
mm
cm
m
km
cm2
cm3
ounce
pound
quart
gallon
inch
foot
yard
mile
square inch
square foot
cubic inch
cubic foot
oz
lb
qt
gal.
in.
ft
yd
mi.
sq in.
sq ft
cu in.
cu ft
Copyright © 2006 by the Commonwealth of Virginia Department of Education
3
area
perimeter
circumference
A
p
C
year
month
hour
minute
second
yr
mon
hr
min
sec
4
Mathematics
Directions
Read each question and choose the best answer. Then fill in the circle on your answer
document for the answer you have chosen.
SAMPLE
Which is less than 1.064?
A
B
C
D
1.159
1.059
1.171
1.071
5
)
1
0.07 1.771
A
B
C
D
2
0.253
2.53
25.3
253
Look at the table.
Decibel Levels of
Different Sounds
Level
(decibels)
Sound
5.3
Leaf falling
65.4
Person shouting
100.0
Thunder
The sound of an airplane taking off is about 2.2 times louder than a person
shouting. Which is the best estimate of the decibel level of an airplane
taking off ?
F
G
H
J
100
140
200
340
6
3
Tim mails two boxes of cookies to friends. One box weighs 1
the other weighs 2
4
A
2
1
pounds
7
B
3
5
pounds
12
C
3
5
pounds
7
D
4
5
pounds
12
3
pounds, and
4
2
pounds. What is the total weight of the two boxes?
3
Lisa is having a meeting at her house. There are 48 members at the meeting.
She estimates each member will drink 32 ounces of punch. Each bottle of
punch contains 64 ounces. Which is the best estimate for the number of
bottles of punch Lisa needs to buy?
F
G
H
J
5
15
25
35
7
5
Sandra wants to buy 2 gallons of detergent. The table shows the sale price of
four different brands of detergent.
Detergent Sale Prices
Sale
Detergent Quantity Price
Ultra Clean
1 gallon
1
– gallon
2
– gallon
Mega Wash 1
2
No More
2 gallons
Stains
Fresh All
$6.50
$2.00
$3.10
$12.00
Which of the following is the least expensive way for Sandra to buy 2 gallons
of detergent?
6
A
Buying 4 bottles of Fresh All
B
C
D
Buying 4 bottles of Mega Wash
Buying 2 bottles of Ultra Clean
Buying 1 bottle of No More Stains
Every week Sam saves $1.00 on Monday and $2.50 on Friday. If this is his
total weekly savings, how many weeks would it take him to save enough to
buy a $49 wireless phone?
F
G
H
J
7 weeks
14 weeks
46 weeks
52 weeks
8
7
8
1
5
1
− =
6
3
A
1
1
6
B
1
1
3
C
1
1
2
D
2
1
3
Risa drank
5
1
glass of lemonade. Fola drank
glass of lemonade. If the
8
4
glasses held the same amount of lemonade, how much more did Risa drink
than Fola?
F
1
glass
8
G
3
glass
8
H
1
glass
2
J
3
glass
4
9
9
Look at the table.
Team’s Weekly
Running Schedule
Day
Distance Run
(miles)
0
1
2
2
3
1
2
2
3
1
2
2
10
Sun.
Mon.
Tue.
Wed.
Thu.
Fri.
Sat.
What is the total distance the team will run in 4 weeks?
1
miles
2
A
23
B
47 miles
C
70
D
94 miles
1
miles
2
10
10
Look at the menu.
Dinners
Taco Plate
$6.99
Fajita Plate
$7.99
Includes 2 tacos,
rice, and beans
Includes tortillas,
beef, sour cream,
cheese, rice, and
beans
Sides
Taco .. . . . . . . . . .$2.79 each
Rice . . . . . . . . . . . . . . . . .$1.69
Beans . . . . . . . . . . . . . . .$1.69
Tortillas . . . . . . .$0.99 for 2
Which is the best estimate of the difference between the cost of buying the
Taco Plate dinner and the cost of buying rice, beans, and 2 tacos as sides?
F
G
H
J
$2
$5
$7
$10
Do not turn
the page until
you are told.
11
11
All of these circles are the same size. Within each circle the pieces are equally
divided. Which circle has the least amount shaded?
A
B
C
D
12
12
represents 1
represents - 1
Based on the representations shown, which of the following is true?
F
G
H
<
J
<
13
13
Which is equivalent to
A
B
C
D
14
3%
5%
15%
20%
Which of the following is a composite number?
F
G
H
J
15
3
?
20
13
15
17
23
The ratio of boys to girls in Room B is 15 to 12. What is the ratio of girls to
total students in Room B ?
A
B
C
D
12
12
15
15
to
to
to
to
27
15
27
12
14
16
What is the greatest common factor of 12 and 20 ?
F
G
H
J
17
Which of the following is true?
A
B
C
D
18
2
4
60
240
0.310 < 0.275
0.325 > 0.310
0.325 < 0.275
0.310 > 0.325
Which is a prime number?
F
G
H
J
33
35
37
39
15
19
The picture shows a section of Main Street. The car in the picture is
15 feet long.
Main Street
Which estimate is closest to the length of the section of Main Street shown in
the picture?
A
B
C
D
20
15
30
45
60
ft
ft
ft
ft
Lou is making a pizza that has a radius of 9 inches. Which is closest to the
area of the pizza?
F
G
H
J
1,017.36 sq in.
254.34 sq in.
56.52 sq in.
25.434 sq in.
16
21
Which statement is true about both a pyramid and a cone?
A
B
C
D
22
Both
Both
Both
Both
have
have
have
have
at least one vertex.
a circular base.
a rectangular base.
at least one triangular face.
Which is closest to the measure of the angle shown?
110
70
100
80
90
80
100 70
110
F
G
H
J
23
6
12 0
0
1350
0
0
10
20 170 180
0
30 0 16
15
4040
1
180 170
6
0
10 1
200 15
30 0 1
4040
0
12 0
0 6
1350
35°
45°
145°
155°
Which word does not apply to every rectangle?
A
B
C
D
Parallelogram
Quadrilateral
Polygon
Rhombus
17
24
Casey and her friends went to the library to work on their social studies
project. They pushed the two tables pictured together.
6 ft
3 ft
6 ft
3 ft
What will be the total area of the top of the two tables when they are pushed
together?
F
G
H
J
18
24
36
48
square
square
square
square
feet
feet
feet
feet
18
25
Petra drew the angle shown.
Which figure most likely has an angle that is congruent to the angle
Petra drew?
A
B
C
D
19
26
Which is closest to the circumference of circle O shown?
O
3 cm
F
G
H
J
113.04 cm
75.36 cm
37.68 cm
18.84 cm
20
27
Which figure appears to have exactly one pair of parallel sides?
A
B
C
D
28
Which is closest to the measure of ∠ M in the figure shown?
K
M
L
F
G
H
J
180°
90°
60°
45°
21
29
What three-dimensional object will be formed when the figure below is folded
on the dashed lines?
A
B
C
D
30
Cone
Cylinder
Square pyramid
Rectangular prism
Anna rode her bicycle 12.4 kilometers. How many meters did she ride?
F
G
H
J
0.124 meter
1,240 meters
12,400 meters
124,000 meters
22
31
A clerk recorded the number of pairs of jeans sold each day at a store. The
data are displayed on the stem-and-leaf plot.
Stem
0
1
2
3
4
5
Leaf
9
2 5 5 6 8 9
0 0 1 1 1 5 5 5 5
2 5 6
Key
1|5 = 15
8
Which of the following statements is true according to the data in the
stem-and-leaf plot?
A
B
C
D
32
The
The
The
The
number of pairs of jeans sold each day was between 0 and 8.
stem-and-leaf plot displays 26 days of sales.
median for the data is 25.
mode for the data is 25.
What is missing from the box-and-whisker plot?
30 32 34 36 38 40 42 44 46 48 50 52
F
G
H
J
Median
Range
Upper quartile
Lower quartile
23
33
Look at the table.
Travel Time to School
Student
Time
(in minutes)
Jennifer
14
Randy
10
Kris
6
Jordan
18
Tia
13
Sam
10
Josh
9
Simon
15
Ray
10
What is the range for the times listed in the table?
A
B
C
D
4 min
9 min
10 min
12 min
24
with sides 1
2
3
4
B EE R
RTT
LLIIB
Claire flips a fair coin with sides
1989
5
and
Y
2
Y
3
1989
4
1989
Y
B EE R
RTT
LLIIB
Y
B EE R
RTT
LLIIB
1989
B EE R
RTT
LLIIB
B EE R
RTT
LLIIB
1
B EE R
RTT
LLIIB
B EE R
RTT
LLIIB
Y
5
1989
Y
6
1989
1989
1
2
3
4
5
6
Y
B EE R
RTT
LLIIB
1
B EE R
RTT
LLIIB
B EE R
RTT
LLIIB
F
Y
2
1989
Y
3
1989
1989
G
1989
Y
6
B EE R
RTT
LLIIB
Y
5
B EE R
RTT
LLIIB
B EE R
RTT
LLIIB
4
1989
Y
1989
H
B EE R
RTT
LLIIB
1
2
3
4
5
6
Y
1
2
2
3
1
3
2
4
1
4
2
5
1
5
2
6
B EE R
RTT
LLIIB
1989
Y
1989
J
B EE R
RTT
LLIIB
. Kris rolls a fair number cube
6 . Which shows all of the possible
combinations of one flip and one roll?
Y
1989
B EE R
RTT
LLIIB
34
Y
Y
1989
25
35
Look at the table.
Songs on Seth’s CD Player
Song Title
Artist
Tory
Chambers
Goin’ Fishin’
Let’s Play That
Again
Sound Off
Morning News
The Shipping
Department
Everybody
Here Yet?
Down on Oak
Street
Words I Like
to Hear
Tory
Chambers
No Surprise
185
185
Fortune
That’s My
Game
Sound Off
Forget About It
Ellis Bell
Equal Time
Casey D
Address Book
Casey D
Sound Off
Checking In
The songs on Seth’s CD player play randomly. What is the probability that the
next song played will be by the artist Sound Off ?
A
1
12
B
3
12
C
3
24
D
1
7
26
This table shows the number of
people who visited a museum over
a 6-day period.
Which graph best displays the
information in the table?
Museum Visitors
Tue.
28
Wed.
34
Thu.
52
Fri.
56
Sat.
93
Sun.
87
F
95
85
75
65
55
45
35
25
0
Tue. Wed. Thu. Fri.
Sat. Sun.
Day
Museum Visitors
G
Number of
Visitors
Number of
Visitors
95
85
75
65
55
45
35
25
0
Tue. Wed. Thu. Fri.
Sat. Sun.
Day
Museum Visitors
H
Number of
Visitors
Day
Number of
Visitors
Museum Visitors
95
85
75
65
55
45
35
25
0
Tue. Wed. Thu. Fri.
Sat. Sun.
Day
Museum Visitors
J
Number of
Visitors
36
95
85
75
65
55
45
35
25
0
Tue. Wed. Thu. Fri.
Day
27
Sat. Sun.
37
Which statement is false?
A
B
C
D
38
A set of data always has a mode.
A set of data may have exactly one mode.
A set of data may have more than one mode.
The mode is the piece of data that occurs most frequently.
What is the median for this set of data?
{ 217, 243, 203, 206, 230, 195, 243 }
F
G
H
J
206
217
220
243
28
39
represents x
represents 1
Using the representations above, which correctly represents the following
number sentence if each scale is balanced?
5+ x = 7
A
B
C
D
29
40
Look at the equation mat.
=
=1
Key:
What is the value of x ?
F
11
G
H
J
7
3
2
30
x
41
Look at the table.
Part of
Patrick’s Pattern
Term
11
Value
121
12
144
13
169
14
196
15
225
Which rule does Patrick’s pattern follow?
42
A
B
C
Add 110 to the term to get the value.
Multiply 11 by the term to get the value.
Double the term to get the value.
D
Square the term to get the value.
Which pattern would be the result of a rule in which two triangles always
follow a square, and a circle can only appear after every fourth triangle?
F
G
H
J
31
43
What value of p will make the following number sentence true?
14 p = 182
A
B
C
D
44
13
168
196
2,548
Look at the table.
x
y
1
2
3
4
5
6
7
3
6
9
12
15
18
21
Which rule best describes the relationship between all the x and y values in
the table?
F
G
H
J
Add 2 to the x-value to get the y-value.
Subtract 14 from the y-value to get the x-value.
Divide the y-value by 2 to get the x-value.
Multiply the x-value by 3 to get the y-value.
32
45
Tammy wrote the following values for powers of 10.
102 = 100
103 = 1, 000
10 4 = 10 , 000
105 = 100 , 000
Based on the pattern, which is equivalent to 100,000,000 ?
A
B
C
D
46
106
107
108
109
Which is an equation?
F
h − 5 = 32
G
6x − 3
H
5y + 1 > 2
J
4t 2
8
33
47
Jeff multiplied each term in the pattern below by the same number.
1, 4 , 16 , 64
If the pattern continues, what will be the 6th term?
A
B
C
D
84
112
256
1,024
48
405, 135, 45, 15
Dylan began his number pattern with 405. To determine each new number in
the pattern, he performed the same operation on the previous number. Which
operation could have been used for the pattern?
F
G
H
J
Divide by 3
Multiply by 3
Subtract 270
Divide by 5
34
49
The scale below is balanced.
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
represents x
crayon
represents 1
Using the representations and scale above, which could be placed on the right
side of the following scale to make it balanced?
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
crayon
D
crayon
C
crayon
B
crayon
A
35
50
A variable is –
F
G
H
J
the numerical factor in a term
a mathematical sentence stating that two expressions are equal
a symbol used to represent an unspecified member of a set
a number in an expression of sums and/or differences
36
Answer Key-6073-M0118
Test Sequence
Correct Answer
Number
1
C
2
G
3
D
4
H
5
A
6
G
7
C
8
G
9
D
10
F
11
D
12
J
13
C
14
G
15
A
16
G
17
B
18
H
19
C
20
G
21
A
22
H
23
D
24
H
25
B
26
J
27
B
28
J
29
D
30
H
31
D
32
F
33
D
34
F
35
B
36
J
37
A
38
G
39
A
40
H
41
D
42
F
43
A
44
J
45
C
46
F
47
D
48
F
49
B
50
H
Reporting
Category
002
002
002
002
002
002
002
002
002
002
001
001
001
001
001
001
001
001
003
003
003
003
003
003
003
003
003
003
003
003
004
004
004
004
004
004
004
004
005
005
005
005
005
005
005
005
005
005
005
005
Reporting Category Description
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Computation and Estimation
Number and Number Sense
Number and Number Sense
Number and Number Sense
Number and Number Sense
Number and Number Sense
Number and Number Sense
Number and Number Sense
Number and Number Sense
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Measurement and Geometry
Probability and Statistics
Probability and Statistics
Probability and Statistics
Probability and Statistics
Probability and Statistics
Probability and Statistics
Probability and Statistics
Probability and Statistics
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
Grade 6 Math, Core 1
If you get this
many items
correct:
0
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
40
41
42
43
44
45
46
47
48
49
50
Then your
converted scale
score is:
000
026
081
114
138
157
173
187
200
211
221
231
240
249
257
265
273
280
288
295
302
309
315
322
329
336
342
349
356
363
370
377
384
392
399
407
415
424
433
442
452
463
475
487
502
518
538
562
596
600
600