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Math 6 SOL2008 Released Items
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].
Instructions
• The following questions are to be answered without benefit of a calculator
0.07)1.771
.2532.53
25.3 253
25% 25%25%25%
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
A. 0.253B. 2.53C. 25.3D. 253
A. AB. BC. CD. D
Tim mails two boxes of cookies to friends. One box weighs 1¾ pounds, and the other weighs pounds. What is the total weight of the two
boxes?
A B C D
25% 25%25%25%
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
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?
5 15 25 35
25% 25%25%25%
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
A. 5B. 15C. 25D. 35
Look at the table. 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 ?
25% 25%25%25%
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
A. 100B. 140C. 200D. 340
Sandra wants to buy 2 gallons of detergent. The table shows the sale price of four different brands of detergent. Which of the following is the least expensive way for Sandra to buy 2
gallons of detergent?
25% 25%25%25%
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
A. Buying 4 bottles of Fresh All
B. Buying 4 bottles of Mega Wash
C. Buying 2 bottles of Ultra Clean
D. 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?
7 weeks
14 weeks
46 weeks
52 weeks
25% 25%25%25%
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
A. 7 weeksB. 14 weeksC. 46 weeksD. 52 weeks
A. OneB. TwoC. 3D. Four
selection...
One
Two 3 Fo
ur
25% 25%25%25%
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
Risa drank 5/8 glass of lemonade. Fola drank ¼ glass of lemonade. If the glasses held the same amount of lemonade, how much more did Risa
drink than Fola?
1/8 glass
3/8 glass
1/2 glass
3/4 glass
25% 25%25%25%
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
A. 1/8 glassB. 3/8 glassC. 1/2 glassD. 3/4 glass
Look at the table. What is the total distance the team will run in 4 weeks?
25% 25%25%25%
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
A. 23 ½ milesB. 47 milesC. 70 ½ milesD. 94 miles
Look at the menu. 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?
$2 $5 $7 $10
25% 25%25%25%
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
A. $2B. $5C. $7D. $10
Instructions
• You may use a calculator on the remainder of the questions.
All of these circles are the same size. Within each circle the pieces are equally divided.
Which circle has the least amount shaded?
25% 25%25%25%
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
A. AB. BC. CD. D
A. B. C. D.
Based on the representations shown, which of the following is true?
25% 25%25%25%
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
A. AB. BC. CD. DA. B.
C. D.
Which is equivalent to 3/20?
3% 5%15%
20%
25% 25%25%25%
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
A. 3%B. 5%C. 15%D. 20%
Which of the following is a composite number?
13 15 17 23
25% 25%25%25%
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
A. 13B. 15C. 17D. 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 ?
12 to 27
12 to 15
15 to 27
15 to 12
25% 25%25%25%
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
A. 12 to 27B. 12 to 15C. 15 to 27D. 15 to 12
What is the greatest common factor of 12 and 20 ?
2 4 60240
25% 25%25%25%
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
A. 2B. 4C. 60D. 240
Which of the following is true?
0.310 < 0.275
0.325 > 0.310
0.325 < 0.275
0.310 > 0.325
25% 25%25%25%
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
A. 0.310 < 0.275B. 0.325 > 0.310C. 0.325 < 0.275D. 0.310 > 0.325
Which is a prime number?
33 35 37 39
25% 25%25%25%
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
A. 33B. 35C. 37D. 39
The picture shows a section of Main Street. The car in the picture is 15 feet long. Which
estimate is closest to the length of the section of Main Street shown in the picture?
25% 25%25%25%
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
A. 15 ftB. 30 ftC. 45 ftD. 60 ft
Lou is making a pizza that has a radius of 9 inches. Which is closest to the area of the pizza?
1,017.36 sq in
...
254.34 sq in
.
56.52 sq in
.
25.434 sq in
.
25% 25%25%25%
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
A. 1,017.36 sq in.B. 254.34 sq in.C. 56.52 sq in.D. 25.434 sq in.
Which statement is true about both a pyramid and a cone?
Both hav
e at l...
Both hav
e a ci...
Both hav
e a re...
Both hav
e at l...
25% 25%25%25%
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
A. Both have at least one vertex.
B. Both have a circular base.
C. Both have a rectangular base.
D. Both have at least one triangular face.
Which is closest to the measure of the angle shown?
25% 25%25%25%
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
A. 35°B. 45°C. 145°D. 155°
Which word does not apply to every rectangle?
Paralle
logram
Quadrila
teral
Polygon
Rhombus
25% 25%25%25%
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
A. ParallelogramB. QuadrilateralC. PolygonD. Rhombus
Casey and her friends went to the library to work on their social studies project. They pushed the two tables pictured together. What will be the total area of the top of the two
tables when they are pushed together?
18 square
feet
24 square
feet
36 square
feet
48 square
feet
25% 25%25%25%
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
A. 18 square feetB. 24 square feetC. 36 square feetD. 48 square feet
Petra drew the angle shown. Which figure most likely has an angle that
is congruent to the angle Petra drew?
25% 25%25%25%
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
A. AB. BC. CD. D
A. B.
C.D.
Which is closest to the circumference of circle O shown?
113.04 cm
75.36 cm
37.68 cm
18.84 cm
25% 25%25%25%
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
A. 113.04 cmB. 75.36 cmC. 37.68 cmD. 18.84 cm
Which figure appears to have exactly one pair of parallel sides?
25% 25%25%25%
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
A. AB. BC. CD. D
A. B.
C. D.
Which is closest to the measure of in the figure shown?
180° 90°
60° 45°
25% 25%25%25%
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
A. 180°B. 90°C. 60°D. 45°
What three-dimensional object will be formed when the figure below is folded
on the dashed lines?
Cone
Cylinder
Square
pyramid
Rectangular p
r...
25% 25%25%25%
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
A. ConeB. CylinderC. Square pyramidD. Rectangular prism
Anna rode her bicycle 12.4 kilometers. How many meters did she ride?
0.124 mete
r
1,240 mete
rs
12,400 mete
rs
124,000 mete
rs
25% 25%25%25%
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
A. 0.124 meterB. 1,240 metersC. 12,400 metersD. 124,000 meters
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. Which of the following statements is true according to the
data in the stem-and-leaf plot?
The number of ..
.
The stem-and-l..
.
The median fo
r...
The mode fo
r t...
25% 25%25%25%
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
A. The number of pairs of jeans sold each day was between 0 and 8.
B. The stem-and-leaf plot displays 26 days of sales.C. The median for the data is 25.D. The mode for the data is 25.
What is missing from the box-and-whisker plot?
Median
Range
Upper q
uartile
Lower q
uartile
25% 25%25%25%
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
A. MedianB. RangeC. Upper quartileD. Lower quartile
Look at the table. What is the range for the times listed in the table?
25% 25%25%25%
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
A. 4 minB. 9 minC. 10 minD. 12 min
Look at the table. 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 ?
1/12
3/12
3/24
1/7
25% 25%25%25%
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
A. 1/12B. 3/12C. 3/24D. 1/7
Which statement is false?
25% 25%25%25%
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
A. A set of data always has a mode.
B. A set of data may have exactly one mode.
C. A set of data may have more than one mode.
D. 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}
206217
220243
25% 25%25%25%
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
A. 206B. 217C. 220D. 243
Using the representations below, which correctly represents the following number
sentence if each scale is balanced?5 + x = 7
25% 25%25%25%
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
A. AB. BC. CD. D
A. B.
C.D.
Look at the equation mat. What is the value of x ?
25% 25%25%25%
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
A. 11B. 7C. 3D. 2
Look at the table. Which rule does Patrick’s pattern follow?
25% 25%25%25%
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
A. Add 110 to the term to get the value.
B. Multiply 11 by the term to get the value.
C. 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?
A B C D
25% 25%25%25%
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
A. AB. BC. CD. D
A.
B.
C.
D.
What value of p will make the following number sentence true?14 p = 182
13168
1962548
25% 25%25%25%
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
A. 13B. 168C. 196D. 2,548
Look at the table. Which rule best describes the relationship between all the x and y values
in the table?
25% 25%25%25%
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
A. Add 2 to the x-value to get the y-value.
B. Subtract 14 from the y-value to get the x-value.
C. Divide the y-value by 2 to get the x-value.
D. Multiply the x-value by 3 to get the y-value.
Tammy wrote the following values for powers of 10.102 = 100
103 = 1 000104 = 10 000
105 = 100 000Based on the pattern, which is equivalent to
100,000,000 ?
106107
108109
25% 25%25%25%
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
A. 106
B. 107
C. 108
D. 109
Which is an equation?
A B C D
25% 25%25%25%
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
A. A
B. B
C. C
D. D
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?
84112
2561024
25% 25%25%25%
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
A. 84B. 112C. 256D. 1024
405,135,45,15Dylan 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?
Divi
de by 3
Multi
ply by 3
Subtra
ct 270
Divi
de by 5
25% 25%25%25%
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
A. Divide by 3B. Multiply by 3C. Subtract 270D. Divide by 5
A variable is –
the numeric
al ...
a math
ematical...
a symbol u
sed ...
a number in an...
25% 25%25%25%
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
A. the numerical factor in a termB. a mathematical sentence stating
that two expressions are equalC. a symbol used to represent an
unspecified member of a setD. a number in an expression of
sums and/or differences