VA506485 5MRB 43 968 08 Math5
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VIRGINIA STANDARDS OF LEARNING
Spring 2008 Released Test
GRADE 5
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 Student_Assessment@doe.virginia.gov.
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
What is 17 rounded to the nearest ten?
A
B
C
D
10
15
20
25
3
654 ÷ 8 =
1
A
B
C
D
1.32 − 0.86 =
2
F
G
H
J
3
81 R6
83
84 R2
88
0.46
0.54
2.18
4.60
The temperature of the water in a swimming pool is 51°F. Since the freezing
point of water is 32°F, how many degrees would the temperature of the
water have to drop to reach the freezing point?
A
B
C
D
2°F
9°F
19°F
21°F
4
2.4 × 3.15 =
4
F
G
H
J
5
18.9
7.56
1.89
0.756
7
4
1
−
=
5 10
A
3
5
B
7
10
C
7
3
5
D
7
7
10
5
41.22 ÷ 2 =
6
F
G
H
J
7
15.11
20.11
20.61
21.51
There are 26 birdhouses made at a factory each hour. What is the total
number of birdhouses made at the factory in 8 hours?
A
B
C
D
34
64
202
208
8 ,104 ÷ 2 =
8
F
G
H
J
452
4,052
4,502
40,052
6
9
Mr. Madrid bought 3 pairs of red mittens and 2 pairs of blue mittens. Each
pair of mittens cost $10, including tax. What was the total cost of the mittens
Mr. Madrid bought?
A
B
C
D
$5
$15
$50
$60
5
3
1
−2 =
4
2
F
2
1
4
G
3
1
4
H
3
2
2
J
7
5
4
10
7
11
Jerry went to a local sporting goods store and bought a football and
a basketball.
$24.94
$27.47
Since the prices included tax, how much did Jerry spend all together?
A
B
C
D
$42.41
$51.41
$52.31
$52.41
5) 8.5
12
F
G
H
J
1.5
1.7
15
17
Do not turn
the page until
you are told.
8
13
14
Which fraction is equivalent to 0.1 ?
A
1
1
B
1
10
C
1
100
D
1
1000
Which is true?
F
G
H
J
97.856 > 98.765
96.587 > 96.785
97.568 > 97.685
95.658 > 95.568
9
15
One of the smallest butterflies in the world has a wingspan of
1.5 centimeters. What is the value of the digit 5 in 1.5 ?
A
B
C
D
16
Which is read “three and forty-one thousandths”?
F
G
H
J
17
Five tenths
Five hundredths
Fifteen
Five
3,410
3.041
3.401
3.410
Which decimal is equivalent to
A
B
C
D
3
?
5
0.3
0.4
0.6
0.8
10
18
What is 2.48 rounded to the nearest tenth?
F
G
H
J
19
20
3.0
2.5
2.4
2.0
Which group of numbers is listed in order from least to greatest ?
A
3
1
, 0.6, 0.25,
4
2
B
0.6,
3 1
, , 0.25
4 2
C
0.25,
1
3
, 0.6,
2
4
D
0.25,
1 3
, , 0.6
2 4
How is 43.968 written in words?
F
G
H
J
Forty-three
Forty-three
Forty-three
Forty-three
and
and
and
and
nine
nine
nine
nine
six eight
hundred sixty-eight
hundred sixty-eight hundredths
hundred sixty-eight thousandths
11
21
Which is closest to the measure of the angle shown?
A
B
C
D
22
80°
85°
105°
110°
The water in Martha’s watering bucket is frozen. Which would most likely be
the temperature of the water?
F
G
H
J
100°C
50°C
25°C
0°C
12
23
Which set of shapes shows a reflection (flip) over the dotted line?
A
B
C
D
24
What is the perimeter of a square with a side 12 centimeters long?
F
G
H
J
24 cm
48 cm
72 cm
144 cm
13
25
Charles cut each piece of paper pictured below on the dotted lines shown.
Paper 1
Paper 2
Which of the following are the shapes of the four pieces?
A
B
C
D
26
Triangles and rectangles
Squares and triangles
Rectangles and circles
Squares and hexagons
Which of the following appears to be a pair of similar shapes?
F
G
H
J
14
27
Point P is the center of the circular target shown in the picture.
Q
P
R
S
Which appears to be a diameter of the circle?
28
A
PQ
B
SQ
C
PR
D
RQ
Which unit could be used to record the length of a desk?
F
G
H
Inch
Liter
Pound
J
Gram
15
29
Which geometric figure has one square base and triangular faces?
A
B
C
D
30
Cone
Cube
Cylinder
Pyramid
Jason drew this diagram. He needs to buy enough fencing to put around the
dog’s play pen.
Dog’s Play Pen
Which measure can Jason calculate to determine the amount of fencing he
needs to buy?
F
G
H
J
Area
Mass
Perimeter
Volume
16
31
Which figure appears to have only 1 pair of parallel sides?
A
B
C
D
17
32
The picture shows five points on a grid.
X
Z
U
W
Y
Which three points can be connected to form a right triangle?
F
G
H
J
Points
Points
Points
Points
U, W, and Z
W, Y, and Z
X, W, and Z
X, W, and U
18
33
On Saturday, the manager of a car wash kept a record of the number of cars
that came to the car wash each hour. This lists the results.
15 42 34 26 20 31
46 15 43 29 54 37
Which of the following stem-and-leaf plots shows this same information?
A
Stem
1
2
3
4
5
B
Stem
1
2
3
4
5
C
Stem
1
2
3
4
5
D
Stem
1
2
3
4
5
Leaf
5,
6,
1,
2,
4
5
9
4, 7
5, 6
Leaf
2,
0,
1,
2,
4
5
6, 9
4, 7
5, 6
Leaf
5
6, 9
1, 4, 7
2, 5, 6
4
Leaf
5,
0,
1,
2,
4
5
6, 9
4, 7
3, 6
19
34
Trent used the spinner shown to play a board game. Each section of the
spinner is the same size.
Red
Green
Green
Yellow
Yellow
Yellow
Red
Red
Blue
Red
What is the probability the arrow will land on a section labeled green on
Trent’s first spin?
F
G
H
J
0.1
0.2
0.3
0.4
20
The line graph shows Dana’s distance from home one afternoon.
Dana’s Distance From Home
5
Number of
Miles
35
4
3
2
1
0
4:00 4:15 4:30 4:45 5:00 5:15
Time
(p.m.)
Which is closest to Dana’s distance from home at 4:45 p.m.?
A
B
C
D
2 miles
2.5 miles
3 miles
3.5 miles
21
36
The picture below shows the price for each kind of birdhouse Nikos will sell at
a craft fair.
$25
$16
$13
$17
$21
$25
$30
What is the mode price of the birdhouses?
F
G
H
J
$17
$21
$25
$30
22
37
Mariko must write a report. The chart shows the different countries and
topics from which she can choose.
Class Report Choices
Country
Topic
France
Geography
Japan
Wildlife
Egypt
History
Which lists all the different combinations of 1 country and 1 topic Mariko
can choose?
A
France, Geography
France, Wildlife
France, History
Japan, Geography
Japan, Wildlife
Japan, History
Egypt, Geography
Egypt, Wildlife
Egypt, History
B
France, Geography
France, History
Japan, Geography
Japan, Wildlife
Egypt, Geography
Egypt, History
C
France, Geography
France, History
Japan, Geography
Japan, Wildlife
Egypt, History
D
France, Geography
Japan, Wildlife
Egypt, History
23
38
The table shows the number of each color of marble Rodney has in a box.
Marbles
Color
of Marble
Red
Number
14
8
Yellow
Blue
11
Which question about the marbles can Rodney use knowledge about
probability to solve?
F
G
What is the total number of marbles in the box?
What is the chance of taking a yellow marble from the box on the first draw?
H
J
How many red marbles are in the box?
How many more blue marbles than red marbles are in the box?
24
39
JoAnn recorded the daily high temperatures for one week in the table.
Temperatures
Day
Temperatures
°F
Monday
72°F
Tuesday
65°F
Wednesday
80°F
Thursday
74°F
Friday
85°F
Saturday
80°F
Sunday
90°F
What is the mean (average) of this data?
A
74°F
B
78°F
C
80°F
D
90°F
25
40
The table shows the number of tickets sold at an amusement park during
one week.
Tickets Sold
Day
Number
of Tickets
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
270
650
320
380
740
470
510
What was the median number of tickets sold at the park during that week?
F
G
H
J
240
380
470
477
z÷4 =
41
Which could be solved using this number sentence?
A
Kim ate 4 times as many jellybeans as Zach. If z represents the number of
jellybeans Zach ate, how many jellybeans did Kim eat?
B
Zach made 4 fewer basketball shots than Kim. If z represents the number of shots
Kim made, how many shots did Zach make?
C
Zach made some cookies. He gave an equal number of cookies to 4 of his friends.
If z represents the number of cookies Zach made, how many cookies did each
friend get?
D
Zach and Kim collected a total of 4 insects. If z represents the number of insects
Zach collected, how many insects did Kim collect?
26
42
If k represents a number, which represents “23 times a number”?
F
G
H
J
43
k + 23
23× k
k ÷ 23
23 − k
Michael used a rule to make the number pattern shown.
1, 2 , 4 , 8 , 16
If the pattern continues in the same way, what should Michael do to
determine the 6th number?
A
B
C
D
Multiply
Multiply
Multiply
Multiply
16 by 2
8 by 2
4 by 2
2 by 2
27
44
When five tiles are laid flat as shown, this design has one line of symmetry.
?
Which tile, without rotating, could correctly complete this design?
F
G
H
J
28
45
Greg is making a math puzzle. Greg writes, “w is an even number.” Which of
the following could represent the variable w ?
A
B
C
D
46
Tina has 5 more yellow flowers in her collection than blue flowers. If b
represents the number of blue flowers in Tina’s collection, which can be used
to determine the number of yellow flowers in her collection?
F
G
H
J
47
12
15
25
51
b+5 = ?
b −5 = ?
b ×5 = ?
b÷5 = ?
If M represents a number, which of the following means
“eight multiplied by a number”?
A
B
C
D
M +6
M −6
8÷ M
8× M
29
48
A number machine uses a rule to change numbers. The picture below shows
the results.
8
14
18
In
In
In
Out
Out
Out
4
7
9
Which could be the rule used by this number machine?
F
G
H
J
Divide by 2
Subtract 4
Multiply by 2
Add 4
c× 6 =
49
Which could be solved using this number sentence?
A
B
C
D
Sarah bought 6 boxes of candy. Ryan also bought some boxes of candy. If c
represents the number of boxes of candy Ryan bought, how many boxes of candy
did Sarah and Ryan buy altogether?
Sarah has 6 boxes of candy. Each box has the same number of candies inside. If c
represents the number of candies in each box, how many candies does Sarah have
in all?
Sarah has 6 more boxes of candy than Ryan. If c represents the number of boxes
Sarah has, how many boxes of candy does Ryan have?
Sarah gave 6 of her boxes of candy to Ryan. If c represents the number of boxes
Sarah had, how many boxes did she have left?
30
50
If P represents a number, which of the following expressions means 10 more
than that number?
F
G
H
J
P i 10
10 ÷ P
P + 10
10 − P
31
Answer Key-5072-M0118
Test Sequence
Number
Correct Answer
1
A
2
F
3
C
4
G
5
D
6
H
7
D
8
G
9
C
10
G
11
D
12
G
13
B
14
J
15
A
16
G
17
C
18
G
19
C
20
J
21
B
22
J
23
A
24
G
25
A
26
F
27
D
28
F
29
D
30
H
31
D
32
J
33
D
34
G
35
B
36
H
37
A
38
G
39
B
40
H
41
C
42
G
43
A
44
J
45
A
46
F
47
D
48
F
49
B
50
H
Reporting
Category
002
002
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
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
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
Grade 5 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
000
051
086
111
131
148
163
177
189
200
211
221
230
239
248
256
264
272
280
288
295
303
310
318
325
333
340
348
355
363
370
378
386
395
403
412
421
431
441
452
463
476
489
505
522
543
568
600
600
600
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