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Math 72008 Released SOL 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
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and School Improvement, at the above address or by e-mail to [email protected] .
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Notes
• The following section is Computation and Estimation. On the SOL test calculators are not permitted.
Page 3
Ralph’s map of Virginia Beach uses a scale of 1 inch for every 7 miles. Ralph runs a distance of 13.2 miles
from his house in Virginia Beach every weekend. Which is closest to the number of inches needed to
represent this distance on Ralph’s map?
7.2 inch
es
7.0 inch
es
6.2 inch
es
1.9 inch
es
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. 7.2 inchesB. 7.0 inchesC. 6.2 inchesD. 1.9 inches
Page 4
Max surveyed students on his website and asked each to select 1 favorite after-school activity. The percents of the total number of students who responded for each activity are shown in the table. If 126 students selected watching
movies, how many total students responded to Max’s survey?
108144
7002268
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. 108B. 144C. 700D. 2,268
Page 5
A jug of drinking water contained 1½ gallons. After one day, ⅝ gallon had been used. How much water was left in the jug?
½ gallo
n
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. ½ gallonB. ⅞ gallonC. 1 ⅔ gallonsD. 1 ⅛ gallons
Page 6
Kevin mixes paint using 8 ounces of yellow paint for every 3 ounces of white paint. At this rate, how many ounces of white paint would be
mixed with 24 ounces of yellow paint?
8 9 19 64
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. 8B. 9C. 19D. 64
Page 7
Lynne loaned $480 to a friend. The friend paid back the amount borrowed plus 10% interest. What was the total amount the friend paid
to Lynne?
$480.10 $484.80 $490.00 $528.00
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. $480.10B. $484.80C. $490.00D. $528.00
Page 8
Eli can type 1 page in 10 minutes. How many total pages can he type in one hour?
1 6 10 60
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. 1B. 6C. 10D. 60
Page 9
The change in the number of students enrolled at a school over six months is shown in the following
table. The number of students enrolled at the end of September was 4,327. What was the number of
students enrolled in the school at the end of March?
42754300
43254352
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. 4,275B. 4,300C. 4,325D. 4,352
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Notes
• Students may use a calculator for the remainder of the test.
Page 11
Which set is ordered greatest to least ?
{ 16%, 0
.166, ...
{1.6 × 106, 1
6...
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. { 16%, ⅙, 1.6 × 106 , 0.166 }B. { 16%, 0.166, ⅙, 1.6 × 106 }C. {1.6 × 106, 16%, ⅙, 0.166 }D. {1.6 × 106, ⅙, 0.166, 16%}
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Which property is used in the following number sentence? 4(3+n) = (4·3) + (4·n)
Dist
ributive
p...
Additive
inve
r...
Associa
tive pr..
.
Commutative pr..
.
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. Distributive propertyB. Additive inverse propertyC. Associative property of additionD. Commutative property of
addition
Page 13
Which of the following is another way of expressing 2 out of 8 ?
2.50%25% 2.5 25
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. 2.5%B. 25%C. 2.5D. 25
Page 14
Which list is in order from least to greatest ?
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. 0.17, 40%, ⅔, ⅝, 0.78B. 0.17, 40%, ⅝, ⅔, 0.78C. 0.78, ⅝, ⅔, 40%, 0.17D. 0.78, ⅔, ⅝, 40%, 0.17
Page 15
The fraction ⅛ is equivalent to —
0.01%0.13%
12.50%125%
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. 0.012%B. 0.125%C. 12.5%D. 125%
Page 16
Which of the following equations illustrates the multiplicative property of zero?
10 · 0 = 0
10(15 · 0) =
1...
10(8 + 0) = 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. 10 · 0 = 0B. 10 + (−10) = 0C. 10(15 · 0) = 10(0 · 15)D. 10(8 + 0) = 10 · 8 + 10 · 0
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Which 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. 35 ÷ (−30 + 37) = (−35 ÷ −30) + (−35 ÷ 37)B. (−891 + 345) − −78 = −891 + (345 − −78)C. −5 · (−35 + 42) = (−5 · −35) + (−5 · 42)D. −62 + 123 = 123 + −62
Page 18
Which ordered pair describes a point with a location in the second quadrant on a coordinate grid?
(6,5)
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. (−6,−5)B. (−6,5)C. (6, −5)D. (6,5)
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Which pair of triangles is most likely similar?
1 and 4
2 and 5
3 and 5
4 and 2
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 and 4B. 2 and 5C. 3 and 5D. 4 and 2
Page 20
Travis is making a wall hanging out of different colors of glass. The shape of the wall hanging is shown on the grid below. Which is closest to the total amount
of glass needed to make the wall hanging?
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. 28 square unitsB. 34 square unitsC. 36 square unitsD. 40 square units
Page 21
Translate the figure vertically 6 positive units. Which best describes the location of the image of vertex V ?
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. (5, −8)B. (5, 4)C. (−1,−2)D. (11,−2)
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Which of the following is a pentagon?
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.
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Which is most likely the type of transformation that takes place from Figure 1
to Figure 2 on the coordinate grid below?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. Rotation about the origin
B. DilationC. TranslationD. Reflection across
the y-axis
Page 24
The following is true about similar triangles ABC and DEF.
Which could be the lengths of BC and EF ?
BC = 6 an
d EF...
BC = 9 an
d EF...
BC = 3 an
d EF...
BC = 3 an
d EF...
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. BC = 6 and EF = 3B. BC = 9 and EF = 3C. BC = 3 and EF = 6D. BC = 3 and EF = 9
Page 25
Trevor covered a cylindrical can with paper for a project. The can is 18 centimeters tall and
has a 5-centimeter radius. Which is closest to the minimum amount of paper Trevor needed
to cover the entire can?
283 cm2
644 cm2
722 cm2
1,413 cm2
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. 283 cm2
B. 644 cm2
C. 722 cm2
D. 1,413 cm2
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Which of the following quadrilaterals has exactly one pair of parallel sides?
Rhombus
Trapezoid
Rectangle
Paralle
logram
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. RhombusB. TrapezoidC. RectangleD. Parallelogram
Page 27
What type of polygon is this?
Pentagon
Hepta
gon
Hexa
gon
Deca
gon
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. PentagonB. HeptagonC. HexagonD. Decagon
Page 28
A powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters
and a height of 14 centimeters. Which is closest to the maximum number of cubic
centimeters the container will hold?
126 cm3
396 cm3
504 cm3
1,583 cm3
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. 126 cm3
B. 396 cm3
C. 504 cm3
D. 1,583 cm3
Page 29
Bob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. If Bob does not paint the
window, what is the total shaded area he will paint?
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. 144 sq ftB. 104 sq ftC. 50 sq ftD. 40 sq ft
Page 30
Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the
results in the table. Based on the table, which bill has an experimental probability of 7/25 for being
drawn from the bag next?
$1 $5 $10 $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. $1B. $5C. $10D. $20
Page 31
Look at the table. What is the median number of kites sold per year?
680668
540240
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. 680B. 668C. 540D. 240
Page 32
At Van’s Video Store, 30% of the children’s movies are animated. If a customer randomly chooses one children’s movie, what is the probability
that the movie he chooses will be animated?
3/10
1/3 2/3 7/1
0
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. 3/10B. 1/3C. 2/3D. 7/10
Page 33
Tim wants his mean (average) quiz score in history class to be 90. His first 3 quiz scores were 86, 92, and 94. What score should he make on the 4th
quiz in order to have a mean (average) quiz score of exactly 90 ?
85 88 93 95
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. 85B. 88C. 93D. 95
Page 34
Three families are playing a board game and need to form teams of 3 players with 1 player from each family. How many different teams containing 1 member from each family could
be formed?
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. 3B. 9C. 18D. 27
Page 35
A school club listed the attendance at its weekly meetings as follows.12, 9, 20, 15, 13, 8, 16, 12, 18, 10, 26, 14, 24, 17, 18
Which statement is best supported by the data?
There is
no mo...
There is
only ...
There ar
e only...
There ar
e thre
...
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. There is no mode.B. There is only one mode.C. There are only two modes.D. There are three modes.
Page 36
What is the lower quartile in the box-and-whisker plot?
10 35 60 65
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. 10B. 35C. 60D. 65
Page 37
The rosebushes in Pattie’s Plant Store have the following colors:
• 20% yellow blooms.• 50% red blooms.• 30% pink blooms.
If George selected a rosebush at random today, what is the probability that it will produce yellow blooms?
1/5 3/1
0 1/2 4/5
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. 1/5B. 3/10C. 1/2D. 4/5
Page 38
The Augusta City Chamber of Commerce computed the average dinner price for two at several area restaurants. What is the range of the prices displayed in the box-and-whisker
plot?
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. 20B. 25C. 50D. 65
Page 39
Which scatterplot best shows there is no significant relationship between the heights of a group of people and the total amount of money they spend on food each week?
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.
Page 40
Jackie is in a fashion show at school. For her first outfit she may choose from 3 different
colored shirts, 2 pairs of pants, and 3 pairs of shoes. From how many different possible
outfits of 1 shirt, 1 pair of pants, and 1 pair of shoes can Jackie choose?
3 8 11 18
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. 3B. 8C. 11D. 18
Page 41
Kirk wrote the number pattern shown below.0, 2, 5, 9, 14, 20
He found that the differences between the numbers increased by 1 as shown below.
If the differences continue to increase by 1, what will be the 9th number in Kirk’s original pattern?
35 38 44 54
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. 35B. 38C. 44D. 54
Page 42
Which phrase best represents the following?
Seven added to
...
Seven added to
...
The sum of s
ev...
Five
divided b...
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. Seven added to the quotient of a number and five
B. Seven added to the quotient of five and a number
C. The sum of seven and five divided by a number
D. Five divided by a number added to seven
Page 43
Which represents all the values for u that make the following true?u + 5 > 7
u > 2
u > 12
u < 2
u < 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. u > 2B. u > 12C. u < 2D. u < 12
Page 44
What value of p makes the following true?p − 4.5 = 2.5
2. 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. −7.0B. −2.0C. 2.0D. 7.0
Page 45
What is the solution to the number sentence?
c = 4
c = 30
c = 50
c = 400
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. c = 4B. c = 30C. c = 50D. c = 400
Page 46
Which could be used to find the number n?
Four less than a number, n, is equal to fifteen.
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. n − 4 = 15B. 4 − n = 15C. n − 15 = 4D. 15 − n = 4
Page 47
Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year
at the fair?
$8 $21 $27 $72
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. $8B. $21C. $27D. $72
Page 48
6z > 36The above is —
an expressi
on
an equation
an inequalit
y
a variable
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. an expressionB. an equationC. an inequalityD. a variable
Page 49
A large box contains 11 smaller boxes of raisins. The price of the large box is $2.75. Each of the smaller boxes of raisins costs the same amount.
Which could be used to find d, the price of a smaller box?
11d = 2.75
d + 11 = 2.75
d/1
1 = 2.75
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. 11d = 2.75B. d + 11 = 2.75C. d − 11 = 2.75D. d/11 = 2.75
Page 50
Which table contains only values that satisfy the following? y = x + 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. AB. BC. CD. D
A. B.
C. D.
Page 51
The graph displays the relationship between time and profit. Which equation represents the
relationship between time (t) and profit (P) ?
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. One
B. Two
C. Three
D. Four
Page 52
Which is an expression?
5x + 3
5x = 3
5x < 3
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. 5x + 3B. 5x = 3C. 5x ≥ 3D. 5x < 3