1. law, govt and politics
2. legal issues
3. civil law
4. copyright

GLENCOE
MATHEMATICS
Grade
Includes:
• Standards of Learning for Grade 6
• Grade 6 Mathematics
Formula Sheet
• Student Recording Chart
• Diagnostic Test
• Numerous Practice Questions
for Each SOL
• Full-Size Sample Test
6
Test-Taking Tips
• Go to bed early the night before the test. You will think more clearly
after a good night's rest.
• Read each problem carefully and think about ways to solve the
problem before you try to answer the question.
• Relax. Most people get nervous when taking a test. It's natural. Just
do your best.
• Answer questions you are sure about first. If you do not know the
answer to a question, skip it and go back to that question later.
• Think positively. Some problems may seem hard to you, but you may
be able to figure out what to do if you read each question carefully.
• If no figure is provided, draw one. If one is furnished, mark it up to
help you solve the problem.
• When you have finished each problem, reread it to make sure your
answer is reasonable.
• Become familiar with a variety of formulas and when they should
be used.
• Make sure that the number of the question on the answer sheet
matches the number of the question on which you are working in
your test booklet.
Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States
of America. Except as permitted under the United States Copyright Act, no part of this book may
be reproduced in any form, electronic or mechanical, including photocopy, recording, or any
information storage or retrieval system, without prior written permission of the publisher.
Send all inquiries to:
The McGraw-Hill Companies
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 0-07-868516-8
Virginia Standards of Learning (SOL) Assessment, Grade 6
Practice and Sample Test Workbook
1 2 3 4 5 6 7 8 9 10 079 13 12 11 10 09 08 07 06 05 04
Contents
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv
Student Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Virginia Standards of Learning, Grade 6, Correlated to
Glencoe Mathematics: Applications and Concepts, Course 1 . . . . . . vi
Formula Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x
Copyright © Glencoe/McGraw-Hill
Test Practice
Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Standards Practice
6.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
6.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
6.3a–6.3c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
6.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
6.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
6.6a–6.6b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
6.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
6.9a–6.9d . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
6.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
6.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
6.12a–6.12b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
6.13a–6.13b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
6.14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
6.15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
6.16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
6.17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
6.18a–6.18c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
6.19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
6.20a–6.20b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
6.21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
6.22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
6.23a–6.23c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
Test Practice
Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Virginia SOL, Grade 6
iii
Overview
The material in this booklet is designed to help you prepare for the Virginia
Standards of Learning (SOL) Assessment for Grade 6.
It contains:
• a Student Recording Chart,
• the Virginia Standards of Learning, Grade 6, correlated to
Glencoe Mathematics: Applications and Concepts, Course 1,
• a Formula Sheet,
• a Diagnostic Test,
• practice for each SOL, and
• a Sample Test.
How to Use This Book
Diagnostic Test This test will help you identify any weaknesses you may have
as you prepare to take the SOL. Once you’ve taken the test and it’s been graded,
complete the Student Recording Chart that is found on page v. Mark an × in the
square for each question that you answered incorrectly.
Practice If you missed one or two of the questions for a particular SOL, you
could probably use some extra practice with that standard. The Student Recording
Chart lists practice pages for each SOL. Complete the appropriate practice pages.
If you are unsure about how to do some of the problems, you may want to refer to
your mathematics book.
Copyright © Glencoe/McGraw-Hill
Sample Test After you have completed your practice worksheet(s), take the
Sample Test on pages 53 to 62.
iv
Virginia SOL, Grade 6
Student Recording Chart
Directions Mark an × by each question from the Diagnostic Test that you
answered incorrectly. If there are one or two ×s marked for a SOL, write Yes in
the Need Practice? box. Then complete the practice pages for that standard.
Standard
Test Questions
6.1
6.2
1 ■ 19 ■ 29 ■ 40 ■
6.3a
6.3b
6.3c
6.4
12 ■
6■
33 ■
17 ■ 32 ■
Need Practice?
11–12
12–13
14
15
16
17–18
6.5
6.6a
6.6b
6.7
6.8
6.9a
28 ■
11 ■
20 ■
18–19
19–20
20–21
21–22
22–23
24
Standard
6.9b
6.9c
6.9d
6.10
6.11
6.12a
Test Questions
15 ■
8■
23 ■
25
26
27
28–29
29–30
31
6.12b
6.13a
6.13b
6.14
6.15
6.16
9■
31 ■
5■
32
33
34
35–36
36–37
38–39
Standard
6.17
6.18a
6.18b
6.18c
6.19
6.20a
Test Questions
42 ■
44 ■
43 ■
30 ■
4 ■ 50 ■
7■
Practice Pages
39–40
40–41
41–42
42–43
43–44
45
Standard
6.20b
6.21
6.22
6.23a
6.23b
6.23c
Test Questions
39 ■
41 ■
36 ■ 46 ■
18 ■
50
51
52
Practice Pages
Standard
Test Questions
3 ■ 48 ■ 13 ■ 21 ■
27 ■
Need Practice?
Practice Pages
22 ■ 37 ■ 26 ■ 47 ■
14 ■
Need Practice?
Practice Pages
Standard
Test Questions
10 ■ 49 ■ 25 ■ 34 ■ 35 ■ 38 ■
Need Practice?
Practice Pages
Copyright © Glencoe/McGraw-Hill
Need Practice?
16 ■ 24 ■ 2 ■ 45 ■
Need Practice?
Practice Pages
46
47–48
48–49
Virginia SOL, Grade 6
v
Virginia Standards of Learning, Grade 6,
Correlated to Glencoe Mathematics:
Applications and Concepts, Course 1
Lessons in which the standards are a primary focus are indicated in bold.
Standards of Learning
Student Edition
Lesson(s)
Number and Number Sense
6.1
The student will identify representations of a given percent and
5-2, 5-3, 5-6, 5-7,
describe orally and in writing the equivalence relationships among 10-4, 10-5, 10-6,
fractions, decimals, and percents.
10-7, 10-8
6.2
The student will describe and compare two sets of data, using
10-1, 10-2, 10-3,
a
ratios, and will use appropriate notations, such as b, a to b, and a:b. 10-3b
6.3
The student will
(a) find common multiples and factors, including least common
multiple and greatest common factor; and
1-3, 5-1, 5-2a, 5-2,
5-4, 5-5, 6-4a, 6-4,
6-5, 6-6, 7-2a, 7-2,
7-3, 7-4a, 7-4, 7-5
(b) identify and describe prime and composite numbers; and
1-2, 1-3
(c) identify and describe the characteristics of even and odd
1-2
integers.
6.4
The student will compare and order whole numbers, fractions, and 3-2, 5-5, PS2
decimals, using concrete materials, drawings or pictures, and
mathematical symbols.
6.5
The student will identify, represent, order, and compare integers.
8-1
Computation and Estimation
The student will
(a) solve problems that involve addition, subtraction,
multiplication, and/or division with fractions and mixed
numbers, with and without regrouping, that include like and
unlike denominators of 12 or less, and express their answers in
simplest form; and
(b) find the quotient, given a dividend expressed as a decimal
6-3, 6-4a, 6-4, 6-5,
6-6, 7-2a, 7-2, 7-3,
7-4a, 7-4, 7-5
4-4a, 4-4
through thousandths and a divisor expressed as a decimal to
thousandths with exactly one non-zero digit.
6.7
The student will use estimation strategies to solve multistep
practical problems involving whole numbers, decimals, and
fractions (rational numbers).
PS = Prerequisite Skill
vi
Virginia SOL, Grade 6
1-1, 1-7a, 3-4, 3-5b,
6-2, 7-1
Copyright © Glencoe/McGraw-Hill
6.6
Student Edition
Lesson(s)
Standards of Learning
6.8
The student will solve multistep consumer-application problems
3-4, 3-5, 4-1, 4-3,
involving fractions and decimals and present data and conclusions
4-6b, 6-2, 6-2b
in paragraphs, tables, or graphs. Planning a budget will be included.
Measurement
6.9
The student will compare and convert units of measure for length, area, weight/mass, and
volume within the U.S. Customary system and the metric system and estimate
conversions between units in each system:
(a) length—part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, 12-1, 12-2, 12-3,
miles, millimeters, centimeters, meters, and kilometers;
12-4, 12-5
(b) weight/mass—ounces, pounds, tons, grams, and kilograms;
12-2, 12-4, 12-5
(c) liquid volume—cups, pints, quarts, gallons, milliliters, and
12-2, 12-4, 12-5
liters; and
(d) area—square units.*
14-2
*The intent of this standard is for students to make ballpark comparisons and
not to memorize conversion factors between U.S. Customary and metric units.
6.10 The student will estimate and then determine length,
weight/mass, area, and liquid volume/capacity, using standard
and nonstandard units of measure.
6.11 The student will determine if a problem situation involving
polygons of four or fewer sides represents the application of
perimeter or area and apply the appropriate formula.
6.12 The student will
(a) solve problems involving the circumference and/or area of a
7-1, 12-1, 12-2, 12-3,
12-4, 14-1, 14-2,
14-3, 14-5
1-8, 4-5, 12-1b, 14-1,
14-2
4-6, 14-3
circle when given the diameter or radius; and
(b) derive approximations for pi () from measurements for
4-6
circumference and diameter, using concrete materials or
computer models.
Copyright © Glencoe/McGraw-Hill
6.13 The student will
(a) estimate angle measures, using 45°, 90°, and 180° as
13-1, 13-2
referents, and use the appropriate tools to measure the given
angles; and
(b) The student will measure and draw right, acute, and obtuse
13-1, 13-4b
angles and triangles.
Geometry
6.14 The student will identify, classify, and describe the characteristics 13-4
of plane figures, describing their similarities, differences, and
defining properties.
Virginia SOL, Grade 6
vii
Standards of Learning
6.15 The student will determine congruence of segments, angles, and
polygons by direct comparison, given their attributes. Examples
of noncongruent and congruent figures will be included.
6.16 The student will construct the perpendicular bisector of a line
Student Edition
Lesson(s)
13-3a, 13-3, 13-4,
13-6
13-3
segment and an angle bisector.
6.17 The student will sketch, construct models of, and classify solid
14-4, 14-4b
figures (rectangular prism, cone, cylinder, and pyramid).
Probability and Statistics
6.18 The student, given a problem situation, will collect, analyze, display, and interpret data in
a variety of graphical methods, including
(a) line, bar, and circle graphs, (Circle graphs will be limited to
halves, fourths, and eighths);
2-1, 2-2a, 2-2, 2-3,
2-4, 2-8
(b) stem-and-leaf plots; and
2-5
(c) box-and-whisker plots.
2-7b
6.19 The student will describe the mean, median, and mode as
2-6, 2-6b, 2-7, 2-8
measures of central tendency, describe the range, and determine
their meaning for a set of data.
6.20 The student will
(a) make a sample space for selected experiments and represent
it in the form of a list, chart, picture, or tree diagram; and
11-1a, 11-1, 11-2,
11-5a, 11-5
(b) determine and interpret the probability of an event occurring
11-1a, 11-1, 11-1b,
from a given sample space and represent the probability as a 11-2, 11-4, 11-5a,
ratio, decimal or percent, as appropriate for the given situation. 11-5
Patterns, Functions, and Algebra
6.21 The student will investigate, describe, and extend numerical and
1-1, 1-2, 1-7a, 1-4,
geometric patterns, including triangular numbers, patterns formed 3-5b, 7-6a, 7-6, 9-6,
by powers of 10, and arithmetic sequences.
14-5a
1-4, 4-1;
exponents, perfect squares, square roots, and, for numbers greater Course 2: 11-1;
than 10, scientific notation. Calculators will be used to develop
Course 3: 3-1
exponential patterns.
6.23 The student will
(a) model and solve algebraic equations, using concrete
materials;
(b) solve one-step linear equations in one variable, involving
1-7, 9-2a, 9-2, 9-3a,
9-3, 9-4, 9-5
1-7, 9-2, 9-3, 9-4, 9-5
whole number coefficients and positive rational solutions; and
(c) use the following algebraic terms appropriately: variable,
coefficient, term, and equation.
viii Virginia SOL, Grade 6
1-6, 1-7, 9-4
Copyright © Glencoe/McGraw-Hill
6.22 The student will investigate and describe concepts of positive
Commonly Used Formulas
Perimeter, Area, and Circumference
square
rectangle
parallelogram
s
b
w
s
h
b
p 4s
A s2
p 2 2w
A w
A bh
triangle
trapezoid
circle
b1
r
h
h
b
b2
A 12 bh
A 12 h(b1 b2)
C 2r
A r 2
Volume and Surface Area
rectangular prism
cylinder
r
h
h
w
V wh
S.A. 2w 2h 2wh
pyramid
V r 2h
S.A. 2rh 2r2
cone
h
h
r
Copyright © Glencoe/McGraw-Hill
B
V 13 bh
S.A. 12 p B
V 13 r 2h
S.A. r r2
Pythagorean Theorem
right triangle
a
c
b
c 2 a2 b2
Virginia SOL, Grade 6
ix
Name
Date
Diagnostic Test
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 After dinner, only 14 of a pan of lasagna remains. What percent of the
lasagna remains? 6.1
A 75%
C 14%
B 25%
D 4%
2 Which expression is equal to 43? 6.22
F 444
G 43
H 43
1
J
2
4
3
3 Marco picks up 6 items at the grocery store. No item costs more than
$5.99, and the least expensive item is $0.59. Without considering tax on
the items, which is the best estimate for how much Marco will spend?
6.7
A $3.50
B $20
C $30
D $35
3
4 The median weight of an apple in a bag of Virginia Beauty apples is
14 ounces. What does this information tell you about the apples? 6.19
F Most of the apples in the bag weigh 14 oz.
G About as many apples weigh more than 14 oz as weigh less than 14 oz.
H The average weight for the bag of apples is 14 oz.
J The difference between the weight of the heaviest apple and the
lightest apple is 14 oz.
4
5 Which term best describes JKL? 6.13b
5
Copyright © Glencoe/McGraw-Hill
K
J
A obtuse
C equilateral
L
B right
D acute
6 Which number is a prime number? 6.3b
F 8
G 33
H 41
J 57
6
Go on
Virginia SOL, Grade 6
1
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
7 A label company offers address labels in 2 different colors, 2 different
letterings, and 2 different sizes. The colors are clear and white. The
letterings are print and calligraphy, and the sizes are small and large.
Which tree diagram shows the number of different types of address
labels available? 6.20a
A
small
print
print
large
small
large
clear
calligraphy
clear
white
C
clear
white
white
calligraphy
print
calligraphy
small
large
print
print
D
calligraphy
calligraphy
print
clear
calligraphy
print
white
calligraphy
small
small
large
large
small
large
small
large
small
large
small
large
8 How many pints are in 2 gallons? 6.9c
F 8
G 12
H 16
J 24
8
9 A circle has a circumference of 94.2 centimeters. Its diameter is
15 centimeters. Which expression can you use to find the approximate
value for pi? 6.12b
9
94.2
15
A 94.2 15
C
B 94.2 (15 2)
D 94.2 15
10 Which is the best definition of a parallelogram? 6.14
F A parallelogram has four sides and two pairs of parallel sides.
G A parallelogram has four sides of equal length.
H A parallelogram has two pairs of parallel sides and all sides are of
equal length.
J A parallelogram has four right angles.
2
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
B
7
10
Go on
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
11 An airtight jar has 312 cups of flour in it. Through the week, Kyan uses
3
4
11
1
2
flour in 3 recipes. One calls for cup of flour, another calls for cup,
and the third calls for 1 cup. How much flour remains in the jar at the
end of the week? 6.6a
A 143 c
B 112 c
C 114 c
Copyright © Glencoe/McGraw-Hill
D
3
4
c
12 Mrs. Majeski is ordering tamales. Beef tamales sell 5 to a package and
pork tamales sell 6 to a package. Mrs. Majeski wants an equal number of
beef and pork tamales. What is the smallest total number of tamales she
can order? 6.3a
F 120
G 60
H 30
J 11
12
13 A variety of fruits and vegetables are for sale at the Fredericksburg
farmer’s market. When blackberries are in season, one farmer sells them
for $1.50 per half pound. An area grocery store sells blackberries for
$3.99 per pound. Which statement best describes the cost of blackberries
in Fredericksburg? 6.8
A Blackberries are less expensive per pound at the grocery store.
B Blackberries are less expensive per pound at the farmer’s market.
C Blackberries cost the same at the grocery store and at the farmer’s
market.
D Blackberries are less expensive at the grocery store if you want to
buy a full pound.
13
14 What is the area of the circle? 6.12a
F 12.6 in.
G 25.1 in.
H 50.2 in2
J 100.4 in2
14
4 in.
Go on
Virginia SOL, Grade 6
3
Name
Diagnostic Test
Date
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
15 A bag of sugar weighs 5 pounds. Which is the best estimate for the mass
of the sugar? 6.9b
A 10 g
B 500 g
C 2 kg
D 5 kg
15
16 Which number comes next in the series? 6.21
81, 63, 72, 54, 63, 45, _____
F 63
G 54
H 36
J 27
16
17 Which number will make the statement true? 6.4
17
_____
A 0.15
C 0.5
B 0.25
D 1.5
18 Which part of the statement is a term? 6.23c
6 2x 12
F 6 2x
G 12
H 62
J 2x
18
19 Which is equal to 210 ? 6.1
19
A 0.2
C 0.120
20 What is 8.575 0.005? 6.6b
F 1.715
H 171.5
B 0.19
D 0.05
20
G 17.15
J 1,715
21 The Hansens are buying a new microwave. They compare prices for the
model they want at 4 stores. O’Hare & Son offers to take $20 off its
price. Which store has the best price for the microwave? 6.8
Copyright © Glencoe/McGraw-Hill
1
5
21
Appliance Giant Home Center O’Hare & Son Big Mart
$159.99
$149.99
$170
$137.29
A Appliance Giant
C O’Hare & Son
4
Virginia SOL, Grade 6
B Home Center
D Big Mart
Go on
Name
Date
Diagnostic Test
(continued)
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
22 A book is 24 centimeters long, 18 centimeters wide, and 3 centimeters
high. What is the volume of the book in cubic centimeters? 6.10
F 180 cm3
G 435 cm3
H 1,296 cm3
J 2,592 cm3
22
23 Thomas Jefferson’s home at Poplar Forest had a wing that measured
2,300 square feet. About how many square yards was the wing? 6.9d
A 767 yd2
B 383 yd2
C 256 yd2
D 85 yd2
23
24 Clara is making kebabs. She slides vegetables on the skewer in a certain
pattern. Which vegetable will Clara add next? 6.21
24
F
G
H
J
25 What must be the measure of x for the two triangles to be congruent?
25
6.15
13
12
5
x
12
5
A
B
C
D
5 units
7 units
12 units
13 units
Go on
Virginia SOL, Grade 6
5
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
26 Garrett is hanging a border in his dining room. The dining room is 15
feet wide and 16 feet long. How much border does Garrett need for the
dining room? 6.11
F 31 ft
G 62 ft
2
H 62 ft
J 240 ft2
26
27 A paving stone is 8 inches long. If 60 paving stones are laid end-to-end,
how many feet will they stretch? 6.9a
A 60 ft
B 40 ft
C 13.3 ft
D 4.8 ft
27
28 Which number is an integer? 6.5
28
F 25.7
H
6
G
13
2
J 3
29 Tristan has 6 tropical fish and 2 birds. His cousin Noelle has 7 tropical
fish and 1 bird. What is the ratio of Tristan’s fish to Noelle’s fish? 6.2
A 6:7
B 6:8
C 6:13
D 8:16
29
30 Pramila collected the following data:
66 45 58 31 81 46 52 42 38 40 72 75
30
31 Which is the best estimate of the angle measure? 6.13a
A
B
C
D
6
less than 45
between 45 and 90
between 90 and 180
greater than 180
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
If Pramila plots her data in a box-and-whisker plot, which number or
numbers will fall in the “box”? 6.18c
F 46, 52
G 45, 46, 52, 58
H 49
J 42, 45, 46, 52, 58, 66
31
Go on
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
32 Which lists the numbers from greatest to least ? 6.4
F 3, 1.2,
3
,
4
G 0.6, 1.2,
0.6
H 1.2, 34, 3, 0.6
J
33 Which integer is odd? 6.3c
A 4
C 6
3
,
4
3
,
4
32
3
0.6, 3, 1.2
33
B 0
D 7
34 Segment AB is 2 inches long. Which side of the polygon is congruent
B
? 6.15
to A
34
R
2 in.
S
3 in.
1.5 in.
Q
F R
S
H ST
3.5 in.
T
G Q
R
J Q
T
Copyright © Glencoe/McGraw-Hill
35 Angle BAE measures 80 degrees. Which ray
bisects BAE? 6.16
A AB
B AC
C AD
D AF
35
B
C
20
20
A
D
40
40
E
F
36 What is the solution of 3x 27? 6.23b
F 3
G 9
H 12
J 24
36
37 Lionel’s room is 12 feet by 11 feet. What is the area of his room? 6.10
A 132 ft2
B 122 ft2
C 46 ft2
D 23 ft2
37
Go on
Virginia SOL, Grade 6
7
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
38 Segment JL is 10 feet long. Segment MK is a perpendicular bisector of
JL
. What is the measure of KL
? 6.16
38
M
J
K
L
F 10 ft
H 5 ft
G 8 ft
J 10 ft
39 A box contains 5 white buttons, 4 shell buttons, and 3 black buttons.
What is the probability that you would select a shell button if you chose
a button at random? 6.20b
A
4
5
B
1
2
C
1
3
D
1
4
40 What is the ratio of stars to circles? 6.2
7:14
4:7
4:4
4:3
41 The algebra tiles model an equation. A tile represents a variable.
A tile represents a positive unit, or 1. A tile represents a negative
unit, or 1. Which equation do the algebra tiles model? 6.23a
41
A 3x 2
B x23
C x32
D 3x2
8
40
Copyright © Glencoe/McGraw-Hill
F
G
H
J
39
Virginia SOL, Grade 6
Go on
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
42 What is the name of the figure? 6.17
F
G
H
J
42
cone
prism
cylinder
pyramid
43 A winter storm dropped snow on the mountains in western Virginia.
Average snowfall totals for the counties in the area are shown in the
stem-and-leaf plot. How many counties received at least 2 inches? 6.18b
43
Average Snowfall
Stem
Leaf
0
8, 9
1
0, 1, 2, 4, 6, 7
2
1, 1, 5, 8
A
B
C
D
4 counties
3 counties
2 counties
1 county
Cubic Feet (1000’s)
Copyright © Glencoe/McGraw-Hill
44 The graph shows the amount of natural gas the Nuñez family used each
month at their home in Lynchburg. How much gas did the Nuñez family
use in the month of March? 6.18a
F
G
H
J
20
16
12
8
4
0
44
Natural Gas Usage
Dec.
Jan. Feb. Mar.
Month
10 ft3
10,000 ft3
14,000 ft3
17,000 ft3
Go on
Virginia SOL, Grade 6
9
Name
Diagnostic Test
Date
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
45 Which of the following numbers is a perfect square? 6.22
A 24
B 30
C 36
D 50
45
46 What is the solution of 65 71 x? 6.23b
F 3
G 6
H 15
J 24
46
47 The west wing of the Peyton Randolph House in Williamsburg is a square
measuring 29 feet on each side. Which expression shows how much land
the west wing occupies? 6.11
A 4 29 ft2
B 29 29 ft2
47
D
29
4
ft2
48 A truck has 5 pieces of furniture of varying weights in it. The heaviest
piece weighs 300 pounds. The lightest piece weighs 45 pounds. The
truck delivers the heaviest piece of furniture. Which is the best estimate
for the total weight of the remaining 4 pieces of furniture? 6.7
F 1,000 lb
G 700 lb
H 200 lb
J 100 lb
48
49 Which figure is shown? 6.14
49
A square
C parallelogram
50 What is the mode of the data? 6.19
5 6 7 3 4 8 3
F 5.5
G 5.14
H 5
J 3
10
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
C 29 29 ft2
B trapezoid
D rhombus
50
STOP
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.1 The student will identify representations of a given
percent and describe orally and in writing the equivalence relationships
among fractions, decimals, and percents.
1 What percent of the rectangle is shaded?
Copyright © Glencoe/McGraw-Hill
A 40%
C 80%
1
B 60%
D 98%
2 Joel correctly answered 16 of 20 questions on a history quiz. What
percent of the questions did he answer correctly?
F 96%
G 80%
H 60%
J 16%
2
3 What is 0.86 expressed as a percent?
A 0.86%
B 8.6%
C 86%
D 860%
3
4 The winning candidate for mayor received 55% of the votes. What
fraction of the votes did she receive?
4
F
11
20
G
9
20
H
11
25
J
11
200
5 Which circle is shaded to represent 75%?
A
B
C
5
D
Virginia SOL, Grade 6
11
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.1 (continued)
6 Farming accounts for about 12% of all sales in Virginia each year. What
is 12% expressed as a fraction?
F
22
25
G
4
25
H
3
25
J
1
12
6
7
7 What is 0.05 expressed as a fraction?
A
5
10
B
1
4
C
1
5
D
1
20
OBJECTIVE 6.2 The student will describe and compare two sets of
a
data, using ratios, and will use appropriate notations, such as b, a to b,
and a:b.
1 Guests at a restaurant have a choice of soup or salad with their meals.
Thirty-five guests choose soup, and 64 choose salad. Which does not
express the ratio of soup to salad orders?
35
64
B
C 35 out of 64
D 35:64
2 What is the ratio of shaded blocks to white blocks?
G 4:5
J 4:9
3 In a survey, people preferred Brand A to Brand B in a ratio of 3:1.
Which sentence best describes the results of the survey?
A For every 3 people who preferred Brand A, one person preferred
Brand B.
B One out of 3 people preferred Brand B.
C Twice as many people preferred Brand A as preferred Brand B.
D Brand B was preferred three times as often as Brand A.
12
Virginia SOL, Grade 6
2
3
Copyright © Glencoe/McGraw-Hill
A 35 to 64
F 10 :8
H 8 :18
1
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.2 (continued)
4 Mr. Mata’s class has 14 boys and 16 girls. Ms. Dinh’s class has 17 boys
and 11 girls. Which best compares the ratios of boys to girls in the two
classes?
F The ratio of boys to girls in the classes is 7:8.
G Ms. Dinh’s class has a greater percent of boys.
H There are more girls in Ms. Dinh’s class than Mr. Mata’s class.
J The ratios of boys to girls in the classes are equal.
4
5 Lola is baking biscuits for the first time. In her first batch of 8, 4 biscuits
turned out well and 4 were burned. In her second batch of 7, 3 biscuits
turned out well and 4 were burned. Which sentence best describes Lola’s
progress as a biscuit baker?
A Lola’s baking is improving because she burned fewer biscuits in the
second batch.
B Lola’s baking is getting worse because there were fewer biscuits in
the second batch.
C Lola’s baking is staying the same because she burned the same
number of biscuits in both batches.
D Lola’s baking is getting worse because the ratio of good biscuits to
burned biscuits is getting smaller.
5
6 What is the ratio of squares to circles?
6
F 5:7
H 7:5
G 3:4
J 12:5
7 Ron has 15 quarters and 10 dimes. What is the ratio of quarters to dimes?
A 15 to 25
B 10:15
C
7
3
2
D 5:3
Virginia SOL, Grade 6
13
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Dezeray is making a decorative border for a scrapbook page out of flower
stickers and bumblebee stickers. The flower stickers come 25 to a sheet,
and the bumblebee stickers come 10 to a sheet. Dezeray needs equal
numbers of flower and bumblebee stickers. What is the smallest number
of sheets of bumblebee stickers Dezeray can buy?
A 10 sheets
B 5 sheets
C 4 sheets
D 2 sheets
1
2 Aidan prepared 120 dumplings and 48 egg rolls for a party. Each guest
will be served the same numbers of dumplings and egg rolls. What is the
greatest number of guests that Aidan can serve at the party?
F 120
G 48
H 24
J 12
2
3 Which factor do 48 and 54 not have in common?
A 2
B 3
C 6
D 8
3
4 Forty-nine students are in the Dogwood Middle School band. The William
James Middle School band has 63 students. The two bands are marching
in the Thanksgiving Day parade. Each band will march together with the
students in rows of equal size. What is the greatest number of students
that can march in each row?
F 4 students
G 6 students
H 7 students
J 9 students
4
5 A charity group is preparing back-to-school packages for needy children.
The group has 150 pens and 120 packets of notebook paper. What is the
greatest number of packages the group can prepare without having any
pens or packets of paper left over?
A 30 packages
B 60 packages
C 90 packages
D 120 packages
5
14
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.3a The student will find common multiples and factors,
including least common multiple and greatest common factor.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.3b The student will identify and describe prime and
composite numbers.
Copyright © Glencoe/McGraw-Hill
1 Which is a prime number?
A 8
C 21
1
B 12
D 29
2 What must be true for a number to be described as composite?
F The number must be greater than 1.
G The number must be divisible by 2.
H The number can have no more than 2 factors.
J The number must have positive factors other than 1 and itself.
2
3 What is the next prime number in this list? 11, 13, 17, 19, …
A 21
B 23
C 27
D 29
3
4 Which of these numbers is composite?
F 51
G 53
H 71
J 89
4
5 What is true about a prime number?
A It is odd.
B It is greater than 2.
C It has positive factors other than 1 and itself.
D It has 2 positive factors, 1 and itself.
5
6 Eugene said that the first 3 prime numbers were 1, 2, and 3; Beth said
they were 2, 3, and 5; Maxie said they were 2, 3, and 7; Shenana said
they were 3, 5, and 7. Who was correct?
F Eugene
G Beth
H Maxie
J Shenana
6
Virginia SOL, Grade 6
15
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Which statement is true of all even integers?
A Even integers are positive.
B Even integers are divisible by 2.
C Even integers are never prime numbers.
D Even integers cannot be multiplied by 0.
1
2 Which integer is odd?
F 12
G 7
H 0
J 24
2
3 What is true about every even integer?
A It is divisible by 2.
B It is a multiple of 4.
C It is not prime.
D It is greater than 5.
3
4 Which integer is even?
F 56
G 23
H 15
J 11
4
5 Which set of integers are all odd?
A {14, 10, 17, 28}
B {13, 8, 15, 27}
C {13, 9, 15, 27}
D {14, 10, 16, 28}
5
6 Which set of integers are all even?
F {14, 10, 17, 28}
G {13, 8, 15, 27}
H {13, 9, 15, 27}
J {14, 10, 16, 28}
6
16
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.3c The student will identify and describe the
characteristics of even and odd integers.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.4 The student will compare and order whole numbers,
fractions, and decimals, using concrete materials, drawings or pictures,
and mathematical symbols.
1
1 Which is the least fraction that makes the statement below true?
_____ 58
A
B
2
3
C
5
9
D
6
12
2 The area of Virginia Beach is 248 square miles. Norfolk has an area of
54 square miles. Richmond has an area of 60 square miles. The area of
Chesapeake is 341 square miles. Which city has the greatest area?
F Chesapeake
G Norfolk
H Richmond
J Virginia Beach
2
3 Which list orders the numbers from least to greatest ?
A 0.12, 2.1, 23.1, 312
B 2.1, 23.1, 0.12, 312
C 312, 2.1, 23.1, 0.12
D 23.1, 0.12, 312, 2.1
3
4 Ruby, Cassie, Brianna, and Marian play softball. Ruby’s batting average
is 0.312, Cassie’s is 0.289, Brianna’s is 0.341, and Marian’s is 0.274.
Which player has the lowest batting average?
F Ruby
G Cassie
H Brianna
J Marian
4
5 Which pizza has fewer than 13 of its pieces remaining?
5
A
Copyright © Glencoe/McGraw-Hill
3
4
B
C
D
6 The table at the right
Woodson Wakefield Yorktown Fairfax
shows the number of
1,827
1,868
1,716
2,003
students attending 4 high
schools in the Washington, D.C., area. Which list puts the high schools
in order from greatest to least number of students?
F Fairfax, Wakefield, Woodson, Yorktown
G Fairfax, Woodson, Wakefield, Yorktown
H Yorktown, Woodson, Wakefield, Fairfax
J Wakefield, Woodson, Yorktown, Fairfax
6
Virginia SOL, Grade 6
17
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.4 (continued)
7 Which number makes the statement true?
5.4 ____
A 6
B 5.15
C 1.4
7
D 0.75
8
8 Which list orders the numbers from least to greatest?
9 7 5 1
, , , 2 6 8 4
F
G
5 1 7 9
, , , 8 4 6 2
H
1 9 5 7
, , , 4 2 8 6
J
1 5 7 9
, , , 4 8 6 2
OBJECTIVE 6.5 The student will identify, represent, order, and
compare integers.
1
1 Which represents the value negative fifty-three?
B
C
53
D 503
2 The low temperature in Richmond was 2 degrees Celsius. The low in
Blacksburg was 4 degrees Celsius. In Virginia Beach it was 5 degrees
Celsius, and it was 1 degree Celsius in Bristol. Which city had the
coldest temperature?
F Richmond
G Blacksburg
H Virginia Beach
J Bristol
2
3 Which of the following is an integer?
3
A
4
B
1
2
C 1.5
D 3.9
4 Which of these is the greatest integer that makes the statement true?
6 ____
F 2
G 7
H 12
J 16
4
5 For the last six months, Artie has measured the depth of a nearby stream.
He recorded his findings as the difference between the current stream
depth and the average stream depth. During which month did the stream
have the greatest average depth?
5
March April
5
4
A March
18
May
2
June
2
B April
Virginia SOL, Grade 6
July
3
August
1
C July
D August
Copyright © Glencoe/McGraw-Hill
A | 53 |
5
3
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.5 (continued)
6 Which list has the integers in order from least to greatest?
F 8, 6, 15, 4
G 4, 6, 8, 15
H 15, 6, 4, 8
J 15, 8, 6, 4
6
7 Which of these is the greatest integer that makes the statement true?
_____ 15
A 18
B 5
C 8
D 21
7
8 Which list has the integers in order from greatest to least?
G 12, 7, 5, 3
F 12, 7, 3, 5
H 3, 5, 7, 12
J 5, 3, 7, 12
8
9 Kyle scored a ninety-five on his math quiz. Which represents Kyle’s score?
9
A 9.5
B 95
C 905
D
9
5
OBJECTIVE 6.6a The student will solve problems that involve addition,
subtraction, multiplication, and/or division with fractions and mixed
numbers, with and without regrouping, that include like and unlike
denominators of 12 or less, and express their answers in simplest form.
1 What is 58 12?
A
1
6
10
B
Copyright © Glencoe/McGraw-Hill
C 118
3
4
D 158
2 What is 130 12?
2
F
3
5
G
2
5
H
3
20
J
1
10
3 Sheila is cutting a bread recipe in half. The recipe calls for 34 teaspoon
salt. How much salt should Sheila use for half a recipe?
A
3
8
tsp
B
1
2
tsp
C
5
8
tsp
3
D 112 tsp
Virginia SOL, Grade 6
19
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
(continued)
4 Mr. Benson grows cabbages in the Shenandoah Valley. His two largest
cabbages this year had a mass of 3 41 kilograms and 238 kilograms. What
was the combined mass of the cabbages?
F 512 kg
G 558 kg
H 534 kg
J 578 kg
5 What is 612 152?
A 6172
5
B 6112
C 5172
D 5112
6 What is 151 121?
F
7
11
4
6
G
5
11
H
3
22
J
7
22
7 Vong is hiking the Appalachian Trail near Tinker Mountain. He has
0.75 liter of water in his canteen and four hours left before he reaches
his campsite. Vong plans to take a break each hour and drink one quarter
of what is now in his canteen. If he could measure it exactly, how much
water would he drink during each break?
A 3L
B 1.875 L
C 0.3 L
D 0.1875 L
7
8 What is 1037 315?
8
F 302325
G 311305
H 331335
J 33132
OBJECTIVE 6.6b The student will find the quotient, given a dividend
expressed as a decimal through thousandths and a divisor expressed as a
decimal to thousandths with exactly one non-zero digit.
1 What is 5.555 0.004?
A 13,887.5
C 13.8875
2 What is 1.625 0.002?
F 812.5
H 8.1205
20
Virginia SOL, Grade 6
1
B 1,388.75
D 1.38875
2
G 82.5
J 0.8125
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.6a
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.6b (continued)
3 What is 0.008 0.002?
A 4
C 0.04
4 What is 56.875 0.005?
F 11.375
H 11,375
3
B 0.4
D 0.004
4
G 1,137.5
J 113,750
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.7 The student will use estimation strategies to solve
multistep practical problems involving whole numbers, decimals, and
fractions (rational numbers).
1 Carl has 3 bags of sugar in his pantry. Each is a one-pound bag, but none
of the bags is full. The bag that has the least is about 13 full. What is the
best estimate of how many pounds of sugar Carl has in his pantry?
A 1 lb
B 2 lb
C 3 lb
D 4 lb
1
2 Essence has 3 rolls of film to be developed. The rolls cost between $6 and
$7 to develop. Essence also has a coupon for $1 off the cost of developing
one roll of film. What is the best estimate of how much Essence will pay
for all 3 rolls if she uses her coupon?
F $17
G $19
H $21
J $23
2
3 Each of the four largest counties in Virginia is between 819 and
971 square miles in area. The total area of Virginia is 39,594 square
miles. Which is the best estimate of the percentage of the total area that
these counties make up?
A 9%
B 8%
C 7%
D 5%
3
4 Mrs. Takashi’s children gave her a $50 gift card to her favorite bookstore.
Mrs. Takashi has chosen 5 books. The most expensive book costs $10.59
and the least expensive book costs $4.99. Which is the best estimate of the
amount Mrs. Takashi has left on her gift card after she buys the 5 books?
F $35
G $27
H $18
J $12
4
Virginia SOL, Grade 6
21
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.7 (continued)
5 The Patels bought a 20-pound bag of birdseed. Each week they fed
between 210 and 110 of the bag to the birds. About how many pounds of
birdseed remained in the bag after 4 weeks?
A 19 lb
B 16 lb
C 14 lb
D 12 lb
5
6 A coffee shop sells between 20 and 35 slices of pie each day during lunch.
A slice of pie costs either $1.29 or $1.89. About how much money does
the coffee shop make each day from its pie sales?
F $50 to $60
G $25 to $40
H $40 to $65
J $30 to $50
6
7 The Washington family is flying from Norfolk to Atlanta for Thanksgiving.
They are taking 4 suitcases. None of the suitcases weighs more than
50 pounds. The lightest suitcase weighs 15 pounds. What is the best
estimate of the weight of the Washington family’s luggage?
A 100 to 150 lb
B 60 to 120 lb
C 140 to 200 lb
D 150 to 180 lb
7
1 The Padillas earn $5,000 per month. The table shows part of their
monthly budget. The Padillas plan to save 14 of the remaining money.
How much do they plan to save each month?
Expense
House payment
Car expenses
Groceries and household items
Clothing and personal items
A $1,400
C $350
22
Virginia SOL, Grade 6
Amount
$1,000
0,$500
$1,200
0,$900
B $900
D $225
1
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.8 The student will solve multistep consumer-application
problems involving fractions and decimals and present data and
conclusions in paragraphs, tables, or graphs. Planning a budget will be
included.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.8 (continued)
2 Olivia needs 3 new pairs of sports socks. Store A sells 6 pairs for
$12.50. Store B sells 3 pairs for $9.99. Store C sells one pair for $3.50.
What best describes the cost of sports socks at the three stores?
F Store B has the best deal for Olivia’s needs although socks are
cheaper elsewhere.
G Store A has the best price per pair and the best deal for Olivia’s needs.
H Store C has the best price per pair and the best deal for Olivia’s needs.
J Store C has the best deal for Olivia’s needs although socks are
cheaper elsewhere.
2
3 The table shows the regular prices for chicken breasts. Store B puts
chicken breasts on sale, taking $1.30 off the regular price. Which store
has the least expensive chicken breasts?
3
Price of Chicken Breasts (per pound)
Store A Store B Store C Store D
$4.99
$5.29
$4.59
$4.89
A Store A
B Store B
C Store C
D Store D
4 Sierra writes a list to describe how she will spend the money from her
summer job. Which circle graph shows Sierra’s spending plan?
1
— save for the school year
2
Copyright © Glencoe/McGraw-Hill
1
— gasoline
10
1
— clothes for
5
1
— gifts
8
4
job
remainder — movies, CDs, and books
F
G
gasoline
save for
school
year
gasoline
save for
school
year clothes
movies, CDs, books
clothes
gifts
gifts
H
gifts
gasoline
movies,
CDs,
save for
books school
year
J
for job
clothes
movies, CDs,
books
clothes
save for
school
year
gifts
gasoline
Virginia SOL, Grade 6
23
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Stacie’s desk is 48 inches wide. How wide is Stacie’s desk in feet?
A 0.48 ft
B 4 ft
C 4.8 ft
D 12 ft
1
2 The Hendersons live 3 miles from the middle school. How many yards
from the middle school do they live?
F 5,180 yd
G 5,280 yd
H 10,560 yd
J 15,840 yd
2
3 A beetle is 23 millimeters long. About how many inches long is the beetle?
A 2.3 in.
B 1 in.
C 0.5 in.
D 0.23 in.
3
4 Norfolk is 280 miles from Roanoke. About how many kilometers is
Norfolk from Roanoke?
F 800 km
G 500 km
H 300 km
J 150 km
4
5 June has 3 pencils. The red pencil is 612 inches long, the blue pencil is
5
10 centimeters long, and the green pencil is 1 foot long. Which list gives
the pencils in order from shortest to longest?
A red, green, blue
B red, blue, green
C blue, green, red
D blue, red, green
6 A pole vaulter cleared the bar at a height of 16 feet. How many yards
was this?
24
F 113 yd
G 4 yd
H 513 yd
J 48 yd
Virginia SOL, Grade 6
6
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.9a The student will compare and convert units of
1 1
1
measure for length—part of an inch (2, 4, and 8), inches, feet, yards,
miles, millimeters, centimeters, meters, and kilometers—within the U.S.
Customary system and the metric system and estimate conversions
between units in each system.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.9b The student will compare and convert units of
measure for weight/mass—ounces, pounds, tons, grams, and
kilograms—within the U.S. Customary system and the metric system
and estimate conversions between units in each system.
1 All the hamburger patties prepared at a restaurant weigh 14 pound before
cooking. What is the weight of each patty in ounces?
A 4 oz
B 6 oz
C 8 oz
D 16 oz
1
2 A box of pasta has a mass of 226 grams. About how much does the box
weigh?
F 10 lb
G 3 lb
2
Copyright © Glencoe/McGraw-Hill
H
1
2
lb
J
1
8
lb
3 An elephant weighs 1 ton. How many pounds does the elephant weigh?
A 1,000 lb
B 1,500 lb
C 2,000 lb
D 2,500 lb
3
4 One of the smallest surviving babies born in the United States weighed
280 grams. About how many ounces did the baby weigh?
F 3 oz
G 10 oz
H 28 oz
J 80 oz
4
5 The average adult brain weighs 48 ounces. How many pounds is this?
A 3 lb
B 4 lb
C 6 lb
D 16 lb
5
6 The weight of a dictionary is 2.2 pounds. About how many kilograms
is this?
F 4.4 kg
G 2.2 kg
H 1.5 kg
J 1.0 kg
6
Virginia SOL, Grade 6
25
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.9c The student will compare and convert units of
measure for liquid volume—cups, pints, quarts, gallons, milliliters, and
liters—within the U.S. Customary system and the metric system and
estimate conversions between units in each system.
1
2
L
B 1L
C 2L
D 4L
A
1
2 A beaker holds 500 milliliters. How many liters does the beaker hold?
F 50 L
G 5L
H 0.5 L
J 0.05 L
2
3 Susie is mixing plant fertilizer. She mixes 2 tablespoons of dry fertilizer
with 1 gallon of water. How many quarts of fertilizer does she make?
A 2 qt
B 4 qt
C 8 qt
D 16 qt
3
4 One liter of orange juice is equivalent to about how many gallons?
F 0.3 gal
G 0.5 gal
H 0.7 gal
J 1.0 gal
4
5 A recipe for beef stew calls for 121 cups of beef broth. How many pints
is this?
A 3 pt
B 2 pt
C 0.75 pt
D 0.5 pt
5
6 A jug of milk contains 3.78 liters. How many gallons of milk is this?
F 5 gal
G 4 gal
H 2 gal
J 1 gal
6
26
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
1 Raj adds 2 quarts of oil to his car. About how many liters of oil does
he add?
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.9d The student will compare and convert units of
measure for area —square units—within the U.S. Customary system and
the metric system and estimate conversions between units in each system.
1 The area of an office space is 2,916 square feet. What is the area of the
space in square yards?
B 972 yd2
A 1,458 yd2
2
C 486 yd
D 324 yd2
1
2 The area of the O. Winston Link Museum in Roanoke is 15,000 square
feet. How many square inches is this?
F 1,250 in2
G 180,000 in2
H 2,160,000 in2
J 25,920,000 in2
2
3 The area of a playground is 84 square meters. About how many square
yards is this?
A 8.4 yd2
B 25 yd2
C 100 yd2
D 10,000 yd2
3
4 Juan is buying carpet for his bedroom, as shown in the figure. How
many square feet of carpet does he need?
4
Copyright © Glencoe/McGraw-Hill
4 yd
5 yd
F 20 ft2
H 180 ft2
G 60 ft2
J 240 ft2
5 The area of a nature sanctuary is 1 square mile. How many square feet is
this?
A 5,280 ft2
B 47,520 ft2
C 760,320 ft2
D 27,878,400 ft2
5
Virginia SOL, Grade 6
27
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.10 The student will estimate and then determine length,
weight/mass, area, and liquid volume/capacity, using standard and
nonstandard units of measure.
1 Use your ruler to help you answer this question. Which is closest to the
length of the eraser?
1
Eraser
A 1 in.
B 114 in.
C 112 in.
D 134 in.
2
3 A gift box is 4 inches long, 3 inches wide, and 2 inches high. What is the
volume of the gift box in cubic inches?
A 24 in3
B 14 in3
C 12 in3
D 9 in3
3
4 Use your ruler to help you answer the question. Which is closest to the
length of the needle?
4
F 1.5 cm
H 2.5 cm
G 2 cm
J 3 cm
5 A paint tray measures 15 centimeters by 10 centimeters by 4 centimeters.
How many cubic centimeters of paint will the tray hold?
B 80 cm3
A 29 cm3
C 400 cm3
D 600 cm3
28
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
2 A mosaic floor measures 2 meters by 3 meters. What is the area of the
floor in square meters?
F 4 m2
G 5 m2
H 6 m2
J 8 m2
5
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.10 (continued)
6 George Washington’s house at Mount Vernon is 93 feet long and 32 feet
wide. How many square feet does the house occupy?
G 465 ft2
F 250 ft2
2
H 2,876 ft
J 2,976 ft2
6
7 Georgia bought 5 large oranges. Which is the best estimate of the total
weight of the oranges?
A 3 oz
B 8 oz
C 3 lb
D 8 lb
7
8 Mr. Rowan travels often and always brings his cell phone with him.
Which is the best estimate of the mass of a cell phone?
F 5g
G 200 g
H 5 kg
J 200 mg
8
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.11 The student will determine if a problem situation
involving polygons of four or fewer sides represents the application of
perimeter or area and apply the appropriate formula.
1 Carlos is replacing the carpet in his closet. The closet is a perfect square
measuring 4 feet on each side. How much carpet does Carlos need?
A 16 ft
B 16 ft2
C 8 ft
D 8 ft2
1
2 The large triangle is part of the set for a dance company’s performance.
The triangle will be covered with square tiles that measure 1 centimeter
on each side. How many tiles are needed to completely cover the triangle?
The tiles can be snapped in half along their diagonals when necessary.
2
300 cm
450 cm
F
G
H
J
1,190
1,290
67,500
135,000
Virginia SOL, Grade 6
29
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.11 (continued)
3 A dog lives on a lot with an electric fence running around the outside
edge of the property. The rectangular lot is 50 feet wide and 100 feet
long. How many feet of electric fence are on the property?
A 150 ft
B 200 ft2
C 300 ft
D 5,000 ft2
3
4 Becky attends a women’s college in Roanoke. She takes a walk every
day around campus for exercise. Her route is shown on the map. How
can Becky determine how far she walks?
4
Student
Center
Science
Building
Main Building
Becky’s
Dorm
Health Center
5 A white flag shaped like a triangle has a red ribbon border. The flag is
8 inches wide at the base, and each side measures 10 inches. How many
inches of red ribbon are on the flag?
A 28 in.
B 36 in.
C 40 in2
D 80 in2
30
Virginia SOL, Grade 6
5
Copyright © Glencoe/McGraw-Hill
F She should find the length and the width of the area that she covers
and multiply them.
G She should measure the length of each part of her route and add the
lengths together.
H She should find the length of the first part of her route and multiply
it by 4.
J She should measure the distance from her dorm to the science
building and multiply it by 2.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.12a The student will solve problems involving the
circumference and/or area of a circle when given the diameter or radius.
1 A circle has a radius of 4 units. What is the circumference of the circle?
A 16
units
B 8
units
C 4
units
D 2
units
1
2 A circle has a diameter of 14 feet. What is the area of the circle? Use 272
for pi.
F 616 ft2
G 154 ft2
H 44 ft2
J 22 ft2
2
3 The radius of a circle is 15 meters. What is the area of the circle?
A 15
m2
B 30
m2
2
C 225
m
D 900
m2
3
4 The University of Virginia Rotunda, or dome, is 77 feet in diameter.
What is the circumference of the rotunda? Use 3.14 for pi.
F 120.89 ft
G 181.34 ft
H 241.78 ft
J 483.56 ft
4
5 A circle has a radius of 5 units. What is the area of the circle?
A 25
units2
B 10
units2
5
Copyright © Glencoe/McGraw-Hill
C 5
units2
D
5
2
units2
6 A circular outdoor playground has a diameter of 30 meters. What is the
area of the playground? Use 3.14 for .
F 94.2 m2
G 188.4 m2
H 706.5 m2
J 2,826 m2
6
7 What is the circumference of the circle? Use 3.14
for pi.
A 12.56 cm
B 25.12 cm
C 50.24 cm
D 100.48 cm
7
4 cm
Virginia SOL, Grade 6
31
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.12b The student will derive approximations for pi ()
from measurements for circumference and diameter, using concrete
materials or computer models.
1 The circumference of a barrel is 301.44 centimeters. Its radius is 48
centimeters. Which expression could be used to find the value for pi?
A 301.44 48
B 301.44 (48)2
1
C 301.44 428
2 A circle has an area of 346.5 square inches. Its diameter is 21 inches.
How could you find the value of pi with this information?
F Divide 21 by 2 to find the radius. Then square the radius. Divide
346.5 by the squared radius.
G Divide 21 by 2 to find the radius. Divide 346.5 by the radius.
H Multiply 21 by 2 to find the radius. Then square the radius. Divide
346.5 by the squared radius.
J Square the diameter. Divide 346.5 by the squared diameter.
2
3 Monique was finding the value of pi. She put a string around the edge of
an embroidery hoop and measured the string to find the circumference
of the hoop. What other dimension of the hoop does she need to measure
in order to find an approximation for pi?
A the diameter
B the weight
C half the circumference
D the circumference of a smaller hoop
3
4 Theo measured the circumference of a circular wastebasket as
37.7 inches and the diameter of the wastebasket as 12 inches. Which
expression gives an approximation of pi?
4
F
37.7
12
G
37.7
62
37.7
122
37.7
6
H
J
32
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
D 301.44 (48 2)
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.13a The student will estimate angle measures, using
45°, 90°, and 180° as referents, and use the appropriate tools to measure
the given angles.
1 What is the best estimate for the measure of the angle?
A 35
C 70
1
B 45
D 90
2 Which is the best estimate for the angle measure?
F 40
H 140
2
G 100
J 175
3 What could be the measure of B in the triangle?
3
Copyright © Glencoe/McGraw-Hill
B
A
A 30
C 120
C
B 90
D 180
4 Which tool would you use to measure an angle?
F compass
G protractor
H ruler
J calculator
4
Virginia SOL, Grade 6
33
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.13b The student will measure and draw right, acute,
and obtuse angles and triangles.
1 How many degrees are in a right angle?
A 45
B 90
C 180
D 360
1
2 Which term best describes the triangle shown?
2
G obtuse
J equilateral
3 Which definition best fits an acute triangle?
A One angle measures exactly 90 degrees.
B Two angles have the same measurement.
C The triangle has exactly one obtuse angle.
D All angle measures are less than 90 degrees.
3
4 Which is an obtuse angle?
F
4
H
G
J
5 Which statement is true?
A Every acute angle has a measure of more than 90 degrees.
B Every acute angle has a measure of less than 90 degrees.
C Every acute angle has a measure of 90 degrees.
D Every acute angle has a measure of 60 degrees.
34
Virginia SOL, Grade 6
5
Copyright © Glencoe/McGraw-Hill
F right
H acute
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.14 The student will identify, classify, and describe the
characteristics of plane figures, describing their similarities, differences,
and defining properties.
1 Which figure has four sides of equal length?
A rhombus
B triangle
C rectangle
D trapezoid
1
2 Which figure is shown?
2
3 cm
3 cm
3 cm
Copyright © Glencoe/McGraw-Hill
F
G
H
J
trapezoid
obtuse triangle
rhombus
equilateral triangle
3 What do rectangles and squares not have in common?
A Both have exactly two diagonals.
B Both have four right angles.
C Both have two pairs of parallel sides.
D Both have four sides of equal length.
3
4 Which term best describes the figure?
4
F
G
H
J
quadrilateral
trapezoid
rectangle
polygon
Virginia SOL, Grade 6
35
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.14 (continued)
5 Which statement best describes a circle?
A A circle is a polygon with only one side.
B All points in a circle are an equal distance from the center.
C A circle is made up of one line with no angles.
D All lines that cross a circle pass through its center.
5
6 Which is a trapezoid?
F
6
G
H
J
OBJECTIVE 6.15 The student will determine congruence of segments,
angles, and polygons by direct comparison, given their attributes.
Examples of noncongruent and congruent figures will be included.
1
1 Which two segments are congruent?
C
D
A
B
B
and EF
A A
C E
F and GH
E
G
H
B C
D
and EF
D C
D and GH
2 How can you determine that a pair of triangles are congruent?
F If the triangles are equilateral, then they are congruent.
G The base measurements and height measurements of the triangles are
congruent.
H The sum of the interior angles of both triangles is 180 degrees.
J The corresponding sides of the triangles are congruent.
36
Virginia SOL, Grade 6
2
Copyright © Glencoe/McGraw-Hill
F
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.15 (continued)
3 Teresa has a square photograph that measures 5 inches on each side.
Which is congruent to Teresa’s photograph?
A
B
7 in.
3
5 in.
5 in.
C
D
3 in.
5 in.
3 in.
5 in.
4 Angle L measures 45 degrees. Which angle is congruent to L?
4
S
T
45
35
Q
R
Copyright © Glencoe/McGraw-Hill
F
G
H
J
U
RQS
SQT
TQU
RQU
5 What must the value of x be for the two polygons to be congruent?
3.5 m
3m
3m
5
3m
2m
4m
3.5 m
2m
A
B
C
D
3m
x
2m
3m
3.5 m
4m
Virginia SOL, Grade 6
37
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.16 The student will construct the perpendicular
bisector of a line segment and an angle bisector.
C
if BD
is a perpendicular bisector?
1 What is the measure of D
1
B
1.5 in.
A
C
D
1.5 in.
2 in.
3.5 in.
4 in.
2 The measure of an angle is 80 degrees. If you constructed an angle
bisector, what would be the measure of each of the two new angles?
F 40
G 45
H 80
J 160
2
3 In which figure does a diagonal always form an angle bisector?
A rectangle
B trapezoid
C square
D quadrilateral
3
Q
?
4 Which point would be part of the perpendicular bisector of M
4
M
F
G
H
J
38
N
1 cm
O P
2 cm
point N
point O
point P
point Q
Virginia SOL, Grade 6
0.5
cm
2.5 cm
Q
Copyright © Glencoe/McGraw-Hill
A
B
C
D
2 in.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.16 (continued)
5 The measure of UTV is 30 degrees. Angle VTW measures 35 degrees,
mWTX is 45 degrees, and mXTY is 20 degrees. Which ray forms an
angle bisector of UTY?
V
5
W
U
30 35
45
X
20
T
A
C
TV
TX
Y
B
D
TW
TY
6 How many perpendicular bisectors can a line segment have?
F one
G two
H four
J an infinite number
6
7 Which fact would prove that a ray formed an angle bisector?
A The original angle measure is an even number.
B The original angle measures exactly 180 degrees.
C The angles on either side of the ray are congruent.
D The ray forms a perpendicular angle with a line.
7
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.17 The student will sketch, construct models of, and
classify solid figures (rectangular prism, cone, cylinder, and pyramid).
1 Which is a cone?
A
C
1
B
D
Virginia SOL, Grade 6
39
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.17 (continued)
2 What type of solid is a cereal box?
F cone
G cylinder
H pyramid
J rectangular prism
2
3 Which term describes the solid?
A cylinder
B cone
C pyramid
D prism
3
4 Which term describes the solid?
F triangular prism
G cone
H cube
J pyramid
4
1 Orvish wants to show how much the Washington, D.C., area has grown.
He has data for the number of students attending area middle schools
over the last 10 years. How can Orvish best display his data?
A stem-and-leaf plot
B box-and-whisker plot
C circle graph
D line graph
1
2 The circle graph shows the favorite juice for a group
of preschoolers. What fraction of preschoolers like
cranberry juice best?
4
40
F
3
4
G
1
2
H
1
4
J
1
8
Virginia SOL, Grade 6
Preschoolers’
Favorite Juice
Cranberry
Apple
Orange
Grape
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.18a The student, given a problem situation, will collect,
analyze, display, and interpret data using line, bar, and circle graphs;
Circle graphs will be limited to halves, fourths, and eighths.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.18a
(continued)
Pounds Sold
C
25
20
15
10
5
0
25
20
15
10
5
0
Peaches Pears Plums Cherries
Fruit Sold
Farmers’ Market Sales
Peaches Pears
3
Peaches Pears Plums Cherries
Fruit Sold
D
Farmers’ Market Sales
Pounds Sold
Pounds Sold
3 Mr. Chen sold 23 pounds of peaches, 14 pounds of pears, 19 pounds of
plums, and 11 pounds of cherries at the farmer’s market. Which graph
correctly displays this information?
A
B
Farmers’ Market Sales
Farmers’ Market Sales
Plums Cherries
23
19
14
11
0
Peaches Pears Plums Cherries
Fruit Sold
OBJECTIVE 6.18b The student, given a problem situation, will collect,
analyze, display, and interpret data using stem-and-leaf plots.
1 Eight students belong to the math club. Their heights are displayed in the
stem-and-leaf plot. How many students are at least 5 feet tall?
Stem
4
5
Leaf
10, 10, 11
0, 2, 2, 3, 5
Copyright © Glencoe/McGraw-Hill
A 3
B 4
C 5
D 6
2 This stem-and-leaf plot gives the lengths in inches of snakes caught in
Cumberland Gap National Historic Park. How many snakes were more
than 25 inches long?
Stem
0
1
2
3
4
F 5
1
6
0
2
1
2
2
Leaf
7 9
1 5
5 8 9
3 3
7
G 7
H 8
J 9
Virginia SOL, Grade 6
41
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.18b (continued)
For Questions 3 and 4, use this stem-and-leaf
plot, which gives the number of acres in
several park areas in Virginia.
3 How many park areas are represented in this plot?
A 7
B 9
C 12
D 15
Stem
Leaf
1
5 5
2
0 5 7
3
5
4
7
5
0
6
7
8
5
|
8 5 850 acres
4 What is the area of the smallest park included on
this stem-and-leaf plot?
F 150 acres
G 205 acres
H 510 acres
J 850 acres
3
4
1 What does the box in a box-and-whisker plot represent?
A The box represents the range of the median of the data.
B The box covers the middle 50% of the data.
C The box shows the average of the data.
D The box contains only data that are reasonable.
1
2 The box-and-whisker plot shows how many points a women’s basketball
team scored during its home games at a Virginia university. What was
the median score for the home games?
2
50
F
G
H
J
42
55
60
65
70
50
60
64
80
Virginia SOL, Grade 6
75
80
85
90
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.18c The student, given a problem situation, will collect,
analyze, display, and interpret data using box-and-whisker plots.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.18c
(continued)
For Questions 3 and 4, use this list of the average maximum
temperatures each month in Roanoke: 47, 49, 56, 68, 78, 85, 88,
87, 81, 70, 57, 48.
3
3 Which is the correct box-and-whisker plot for this data?
A
49
68
81
47
88
B
56
70
85
47
C
88
52
69
83.5
47
D
88
52.5
47
69
83
88
4 What is the median of the average monthly maximum temperatures in
Roanoke?
F 52 degrees
G 69 degrees
H 70 degrees
J 83 degrees
4
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.19 The student will describe the mean, median, and
mode as measures of central tendency, describe the range, and
determine their meaning for a set of data.
1 The mean grade for a science test was 77. What does the mean tell you
about the test grades of the class?
A Most students scored 77.
B More students scored 77 than any other grade.
C The grades ranged over 77 points.
D The average grade for the class was 77.
1
2 Jenna recorded the tree pollen count for the Richmond area each day for
a week. Her data are:
150 280 310 240 420 670 240
2
What was the median tree pollen count for the week?
F 520
G 330
H 280
J 240
Virginia SOL, Grade 6
43
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.19 (continued)
3 What is the mode of the data?
1.2 1.8 2.0 1.8 1.5 2.2 0.9 1.4
A 1.2
C 1.65
3
B 1.6
D 1.8
4 How can you determine the range for a set of data?
F Subtract the least number from the greatest number.
G Add all the numbers together and divide by the number of items in
the set of data.
H Find the number in the data that occurs the most often.
J Arrange the data from least to greatest and determine which number
falls in the middle of the set.
4
5 Taylor’s soccer team had the following scores this season:
3, 4, 3, 2, 0, 1, 3, 4, 5, 1. What is the mean of the team’s scores?
A 1
B 2.6
C 3
D 3.6
5
6 A scientist studying Virginia’s wildlife captures cardinals and measures
their length in centimeters before releasing them. She records these data:
19.5 20.5 23.0 22.5 21.5
6
7 Marisol weighs each pork chop in a package. Their weights, in pounds,
are 0.28, 0.33, 0.29, 0.39, and 0.21. What is the median weight of the
pork chops?
A 0.18 lb
B 0.29 lb
C 0.3 lb
D 1.5 lb
7
8 What is the mean of the data?
200 150 150 300
F 150
H 175
8
44
Virginia SOL, Grade 6
G 162.5
J 200
Copyright © Glencoe/McGraw-Hill
What is the range of the cardinals’ length?
F 3.5 cm
G 4.5 cm
H 21.5 cm
J 23.0 cm
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.20a The student will make a sample space for selected
experiments and represent it in the form of a list, chart, picture, or tree
diagram.
1 A photo lab gives customers several choices for their printed photos.
They can choose from 3 5 or 4 6 photographs. They can choose
matte or glossy finish. They can also choose single or double prints.
Which tree diagram shows all the choices for printed photos?
A 35
B
matte
matte
single
46
glossy
35
double
46
C
35
46
matte
glossy
matte
glossy
D
single
double
single
double
glossy
single
double
matte
35
glossy
matte
46
glossy
single
double
single
double
single
double
single
double
2 The Chens are planning their vacation. They want to visit one plantation
and then either go to Jamestown or Williamsburg. The plantations they
can choose from are Berkeley, Edgewood, North Bend, and Shirley.
Which tree diagram shows their vacation choices?
F
G
Berkeley
Jamestown
Jamestown
Copyright © Glencoe/McGraw-Hill
Williamsburg
Berkeley
Edgewood
North Bend
Shirley
Edgewood
North Bend
Shirley
H
Berkeley
Edgewood
Jamestown
Williamsburg
Jamestown
Williamsburg
Williamsburg
Jamestown
Williamsburg
Jamestown
J
Berkeley
Edgewood
North Bend
Shirley
1
2
Williamsburg
Jamestown
Williamsburg
Jamestown
Williamsburg
Jamestown
Williamsburg
Jamestown
Williamsburg
Jamestown
Williamsburg
Virginia SOL, Grade 6
45
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.20b The student will determine and interpret the
probability of an event occurring from a given sample space and
represent the probability as a ratio, decimal or percent, as appropriate
for the given situation.
A
1
8
B
1
4
C
1
2
D
3
4
1
Green Red
Blue
Yellow
Green
Red
Yellow Blue
2 A futon store has 4 styles of futon mattresses, 2 finishes for the wood
frames, and 8 fabrics. How can you find all the futon packages the store
offers?
F Multiply 4 by 8.
G Make a tree diagram.
H Graph all the style options.
J Divide 8 by 2.
2
3 Sarra has a coin collection. Some of her coins were minted in the United
States, some elsewhere. Sarra has an 80% chance of choosing a U.S.
coin if she randomly selects a coin from her collection. Which statement
best describes Sarra’s coin collection?
A Twenty percent of Sarra’s coins were minted in other countries.
B Sarra has exactly 20 coins from other countries.
C Sarra has at least 80 coins that were minted in the United States.
D One out of 80 coins in Sarra’s collection are U.S. coins.
3
4 A middle school in Bristol is giving away a prize at its fall carnival. The
Galvan family fills out 10 tickets for the prize. A total of 100 tickets are
entered in the giveaway. What is the probability that the Galvans will
win the prize?
4
100
10
F
G
1
9
H
1
10
J
1
100
5 One student is selected at random from a committee of 6 boys and
4 girls to be the leader for planning the class trip to Monticello. What is
the probability the leader chosen is a girl?
A
46
2
3
B
Virginia SOL, Grade 6
3
5
C
2
5
D
1
4
5
Copyright © Glencoe/McGraw-Hill
1 On the spinner, each section is the same size. What
is the probability that the spinner will land on a
section marked Red?
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.21 The student will investigate, describe, and extend
numerical and geometric patterns, including triangular numbers,
patterns formed by powers of 10, and arithmetic sequences.
1 What is the next number in the sequence?
128, 64, 32, 16, _____
A 0
B 4
C 8
D 12
1
2 How many dots will the next triangle have?
2
Copyright © Glencoe/McGraw-Hill
F
G
H
J
13
14
15
21
3 On the planet Skeezit, the word for 10 is “ba.” The word for 100 is
“baba” and the word for 1,000 is “bababa.” What number does the word
“bababababa” represent?
A 10,000
B 100,000
C 1,000,000
D 10,000,000
3
4 Aaron is laying a flagstone pathway. He lays the flagstones in the pattern
shown. Which stone or stones will Aaron lay next?
4
F
G
H
J
Virginia SOL, Grade 6
47
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.21 (continued)
5 What is the next number in the sequence?
1, 6, 2, 7, 3, 8, 4, _____
A 0
B 5
C 7
D 9
5
6 You can have tamales shipped to your home according to the prices in
the table. If the pattern continues, what would be the cost to ship
12 dozen tamales?
6
Dozen Tamales
Price
1
2
3
$30 $35 $40
F $360
H $85
G $120
J $80
7 A scarf has four different colored stripes. Their order is red, blue, white,
yellow. If the pattern continues, what color is the fourteenth stripe?
A red
B blue
C white
D yellow
7
OBJECTIVE 6.22 The student will investigate and describe concepts
of positive exponents, perfect squares, square roots, and, for numbers
greater than 10, scientific notation. Calculators will be used to develop
exponential patterns.
C
5
3
1
B 53
D 555
2 The area of a square is 36 square meters. What is the length of one side?
F 4m
G 6m
H 9m
J 18 m
2
3 Why is 100 a perfect square?
A The square root of 100 is a whole number.
B The number 100 can be evenly divided by 4.
C Our number system is based on the number 100.
D A square with an area of 100 is the only perfect square.
3
48
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
1 Which expression is equal to 53?
A 53
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.22 (continued)
4 The land area of Virginia is about 39,600 square miles. What is the area
of the state in scientific notation?
F 0.396 105 mi2
G 3.96 104 mi2
H 396 104 mi2
J 396 103 mi2
4
5 Which sequence of numbers can be calculated by substituting counting
numbers for n in the expression 3 n ?
A 3, 6, 9, 12, 15
B 3, 9, 27, 45, 63
C 3, 9, 27, 81, 243
D 3, 6, 18, 108, 1,944
5
6 Which definition best describes the square root of a number n?
F The square root of n is n multiplied by itself.
G The square root of n multiplied by itself equals n.
H The square root of n is a number that is divisible by itself.
J The square root of n, divided by 4, is a whole number.
6
7 What is 1.2 106 in standard notation?
A 12
B 12,000
C 120,000
D 1,200,000
7
8 What is the value of the seventh number in the series 2, 4, 16, 256, … ?
F 576
G 16,384
H 4.3 109
J 1.85 1019
8
9 What is the value of 25
?
A 5
B 10
C 12.5
D 25
9
Virginia SOL, Grade 6
49
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.23a The student will model and solve algebraic
equations, using concrete materials.
1 Which equation do the algebra tiles model?A variable. A tile represents a positive unit, or 1.
A x28
C 2x 8
B x28
D 2x 8x
2 The algebra tiles model an equation. A tile represents a variable.
A tile represents a positive unit, or 1. A tile represents a negative
unit, or 1. Which equation do the algebra tiles model?
F 2x 5
H 2x5
G x52
J x25
3
3 How many square weights equal one
rectangle?
A 2
B 3
C 4
D 5
4 Which equation do the algebra tiles model?
A circle tile represents a variable. A square
tile represents a positive unit, or 1.
F 6x 9
G
x
6
2
4
Copyright © Glencoe/McGraw-Hill
1
tile represents a
9
H x96
J x69
5 How many hearts equal one square?
A 2
B 3
C 6
D 12
50
Virginia SOL, Grade 6
5
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE 6.23b The student will solve one-step linear equations in
one variable, involving whole number coefficients and positive rational
solutions.
Copyright © Glencoe/McGraw-Hill
1 What is the solution to 10 2x?
A 8
C 5
1
B 6
D 2
2 Jason has 12 dimes. Sophie has 2 more dimes than Jason. How many
dimes does Sophie have?
F 10
G 12
H 14
J 24
2
3 Connor’s cell phone plan charges $20 a month for 300 minutes.
Each additional minute x is $0.25. Connor’s bill this month was $27.50.
Which equation shows how you can find how many additional minutes
Connor used?
A 27.50 20 0.25x
B 27.50 20(300 x)
C 27.50 20 300x
D 27.50 20 x
3
4 What is the solution of 14 12 x?
F 2
G 12
H 13
J 26
4
5 What is the solution of a 12 7?
A 5
B 19
C 29
D 84
5
6 What is the solution of b4 3?
6
F
3
4
H 7
G 1
J 12
7 Leota drove 130 miles from Stony Creek to Quantico in 2.6 hours. What
was her average speed in miles per hour?
A 33.8 mi/h
B 45 mi/h
C 48.4 mi/h
D 50 mi/h
7
Virginia SOL, Grade 6
51
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Which term best describes the number 2 in the statement below?
10 2x 1
A coefficient
B equation
C variable
D expression
1
2 What is the variable in the equation 500 5x 10?
F x
G 5x
H 10
J 500
2
3 Which of the following is an equation?
A 5x
B 5x3
C x3
D 15
3
4 What is the coefficient of x in the expression 4y 2x 7z?
F 13
G 7
H 4
J 2
4
5 How many terms does the expression 4y 3 2x have?
A 1
B 2
C 3
D 4
5
6 What is the variable in the equation 8a 11 9?
F 8
G H a
J 8a
6
7 What is 2x 10 called?
A a function
B an expression
C a polynomial
D an equation
7
52
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
OBJECTIVE 6.23c The student will use the following algebraic terms
appropriately: variable, coefficient, term, and equation.
Name
Date
Sample Test
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Which is the range of the angle measure?
A 0 to 45
C 90 to 180
2 Which of the following is a term?
F 10 5x 2
H 15 3
B 45 to 90
D 180 to 270
2
G 3x
J m2
3 Troop 261 has 12 members. Troop 510 has 8 members. Troop 118 has
16 members. The troops are working together on a project and need to
divide into teams. All the teams must be the same size, and each troop
must distribute its members equally among the teams. What is the
greatest number of teams the troops can form?
A 3
B 4
C 6
D 8
3
4 Which figure is not a quadrilateral?
F
G
4
H
Copyright © Glencoe/McGraw-Hill
1
J
5 A cup of flour has a mass of approximately 250 grams. About how many
kilograms are 8 cups of flour?
A 8 kg
B 4 kg
C 2 kg
D 1 kg
5
Go on
Virginia SOL, Grade 6
53
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
6 Last year Jackson planted 15 tomato plants. Eight of the plants bore
tomatoes. This year Jackson planted 12 tomato plants. Seven of the plants
bore tomatoes. Which statement best describes Jackson’s experience with
tomato plants?
F Jackson had more success last year because more plants bore tomatoes.
G Jackson had the same success both years because the ratio of plants
bearing tomatoes to plants not bearing tomatoes was the same.
H Jackson had more success this year because the ratio of plants bearing
tomatoes to plants not bearing tomatoes was greater than last year.
J Jackson had more success last year because a greater ratio of plants
bore tomatoes.
6
7 Which of these is the greatest integer that would make the statement
true?
3 _____
A 6
B 2
C 0
D 4
7
8 The tree diagram shows all the different holiday cards offered by an
on-line company. Which statement best describes the options for the
cards?
8
wreath
candles
F
G
H
J
Season’s Greetings
Happy Holidays
Season’s Greetings
Happy Holidays
Season’s Greetings
Happy Holidays
The company offers 3 different cards with 2 different greetings.
The company offers 3 different cards with 6 different greetings.
The company offers 2 different cards with 3 different greetings.
The company offers 6 different cards with 6 different greetings.
9 What is the solution of 6 x 17?
A 102
B 23
C 11
D 9
54
Copyright © Glencoe/McGraw-Hill
snowman
Virginia SOL, Grade 6
9
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
10 How can you determine whether an integer is odd or even?
F An odd integer is greater than 0, and an even integer is less than 0.
G The only factors an odd integer has are 1 and itself, whereas an even
integer has other factors.
H An odd integer is less than 0, and an even integer is greater than 0.
J An odd integer is not divisible by 2 with no remainder, whereas all
even integers are divisible by 2 with no remainder.
10
11 What is 6.852 0.002?
A 34,260
B 3,426
C 342.6
D 0.3426
11
12 A fountain in Arlington National Cemetery has a diameter of 19 feet and
a circumference of 59.66 feet. Which expression shows how you could
use this information to find the value of pi?
12
F 59.66 19
G 59.66 129
H 59.66
19
J 59.66 19
Copyright © Glencoe/McGraw-Hill
13 Which statement best describes the relationship between ABC and
DEF?
F
B
3
A
13
5
5
4
C
E
3.54
3.54
D
A ABC and DEF are congruent because both are right triangles.
B ABC and DEF are not congruent because they are facing
different directions.
C ABC and DEF are congruent because both have sides that
measure 5 units.
D ABC and DEF are not congruent because their sides are not
congruent.
Go on
Virginia SOL, Grade 6
55
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
14 A punch recipe calls for 3 liters of ginger ale. About how many quarts of
ginger ale does the recipe require?
F 1.5 qt
G 3 qt
H 6 qt
J 30 qt
14
15 Which list orders the numbers from least to greatest ?
15
0.5, 1.3, 2
B 0.5, 14, 2, 1.3
C 2, 1.3, 14, 0.5
D 0.5, 14, 1.3, 2
1
,
4
16 What is 314 58?
F 2312
16
G 41270
H 515
J 5230
17 What is the coefficient in the equation 12 8 2x?
A 12
B 8
C x
D 2
17
18 Manuel and his sister Maria go fishing for three hours. Maria catches
fish at a rate of about 3 per hour; Manuel does almost as well. Which is
a reasonable estimate of their total catch?
F 6 fish
G 12 fish
H 16 fish
J 20 fish
18
19 Maisie spent $7.50 at the post office to mail some books. Part of the cost
was postage, but Maisie also had to buy a box for the books. The box
cost $2.50. How much was the postage?
A $2.50
B $5.00
C $6.00
D $10.00
19
20 Mr. Sepulveda bought tickets to a concert. He spent $25 for 5 identical
tickets. Which equation shows how Mr. Sepulveda can find the cost c of
each ticket?
F 25 5c
G 25 5 c
H 25 5 c
J 25 5 5c
20
21 Which is equal to 130 ?
21
A 0.3%
C 30%
56
Virginia SOL, Grade 6
B 3%
D 300%
Copyright © Glencoe/McGraw-Hill
A
Go on
Name
Sample Test
Date
(continued)
Copyright © Glencoe/McGraw-Hill
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
22 Virginia has 591,360 feet of coastline. How many miles of coastline
does the state have?
F 112 mi
G 114 mi
H 336 mi
J 65,707 mi
22
23 What is the mean of the data?
45 31 39 52 48 31
A 21
C 41
23
B 31
D 42
24 Roxie has 8 coins in her pocket. There are 2 quarters, 3 dimes, 2 nickels,
and 1 penny. She chooses one coin at random. What is the probability
that Roxie will choose a nickel?
F 0.125
G 0.25
H 0.5
J 0.8
24
25 Ella buys gas, which costs $17.57. She also buys a cup of coffee, a cereal
bar, and a bottle of water. The most expensive food item is the water,
which costs $1.79. Which is the best estimate of the amount Ella spends,
including the price of the gasoline?
A less than $18
B between $18 and $19
C between $19 and $20
D more than $20
25
26 Cameron has collected data on the amount of money brought in by
farming in Mecklenburg County. His data is divided by the types of
crops grown in the county. Which type of graph should Cameron use to
display how much money is brought in by each type of crop?
F bar graph
G circle graph
H stem-and-leaf plot
J box-and-whisker plot
26
27 Use your ruler to help you answer this question. Which is closest to the
length of A
B
?
27
A
B
A 134 in.
B 2 in.
C 214 in.
D 212 in.
Go on
Virginia SOL, Grade 6
57
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
28 Mrs. Kim is shopping for a new briefcase. The briefcase she likes best is
available at three different stores. The department store has the briefcase
for $129. The office supply store has it for $123. The luggage store sells
the briefcase for $132. Mrs. Kim has a $10 gift card that she can use at
the department store. What is the least amount Mrs. Kim can spend for
the briefcase?
F She can spend $123 at the office supply store.
G She can spend $122 at the luggage store.
H She can spend $113 at the office supply store.
J She can spend $119 at the department store.
28
29 For two weeks, a middle school science class recorded the daily high
temperatures in Chesapeake, Virginia. They displayed their data in a
stem-and-leaf plot. On how many days did the temperature never reach
75 degrees Fahrenheit?
29
Leaf
7, 8, 9, 9
0, 1, 2, 2, 3, 5, 7, 7, 8, 9
A 7
C 9
B 8
D 10
30 Shaniqua is using shapes to model an equation. She uses a round bead
for x. A square bead represents a positive unit, or 1. A triangular bead
represents a negative unit, or 1. Which equation has Shaniqua modeled
with her beads?
30
Copyright © Glencoe/McGraw-Hill
Stem
6
7
=
F x36
H 3x 6
G x36
J 3x 6
31 Joel bowled 5 games at the bowling alley. He scored 86, 103, 91, 110,
and 110. What was Joel’s median score?
A 91
B 100
C 103
D 110
58
Virginia SOL, Grade 6
31
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
32 Which expression is equal to 63?
32
6
3
F 63
G
H 36
J 666
33
Amount ($)
33 The line graph shows the Schaeffer family’s water bill for the last
8 months. Which statement about the family’s water usage is true?
A
B
C
D
40
32
24
16
8
0
Schaeffer Family Water Bill
Jan.
Feb. Mar. Apr. May June
Month
July Aug.
The Schaeffers used the most water during the winter.
The Schaeffers used more water in April than in May.
The Schaeffers used the same amount of water in January and in March.
The Schaeffers used the most water during the summer.
Copyright © Glencoe/McGraw-Hill
34 Deb and Shaun are playing a board game. Deb draws a card that allows
her to randomly select one of Shaun’s bonus cards. Shaun has two “Get
Another Turn” cards, one “Pick Your Roll” card, and one “Free Upgrade”
card. What is the probability that Deb will choose Shaun’s “Free
Upgrade” card?
F
1
2
G
1
3
H
1
4
J
1
5
35 Which number would come first?
_____, 4, 1, 2, 5, …
A 8
C 5
34
35
B
D
7
2
36 A blanket is trimmed with a satin edging. The blanket is 84 inches long
and 60 inches wide. How much satin edging is used on the blanket?
G 5,040 in.
F 5,040 in2
2
H 288 in
J 288 in.
36
Go on
Virginia SOL, Grade 6
59
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
37 How many dots would be in the seventh figure of the pattern?
1
2
3
4
A 21
C 35
B 28
D 36
38 A company in Newport News holds a golf tournament every year. The
scores for this year’s tournament are shown in the box-and-whisker plot.
Which score falls within the middle 50% of the scores?
70
75
80
85
90
95
38
100
80
82
87
90
39 Grayson’s backyard is 128 square yards. How many square feet are in
his backyard?
A 384 ft2
B 1,152 ft2
C 1,280 ft2
D 3,456 ft2
39
40 A pastry chef is decorating the top of a wedding cake with flowers and
leaves made of sugar. If the pattern is continued all the way around the
cake, how many flowers will be on the top of the cake when he is
finished?
40
F 6
H 8
60
Virginia SOL, Grade 6
G 7
J 9
Copyright © Glencoe/McGraw-Hill
F
G
H
J
37
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
41 JKL measures 55 degrees and KLJ measures 35 degrees. What is
mLJK ?
41
K
J
L
A 90°
C 55°
B 80°
D 35°
42 What is the solution of 5x 15?
F 3
G 5
H 10
J 20
42
43 Which is a perfect square?
A 4
B 6
C 8
D 10
43
44 Tyler is using fruit to model an equation. Each grape represents a single x,
so 3 grapes represent 3x. An apple has a value of 1. What is the
solution to Tyler’s equation?
44
Copyright © Glencoe/McGraw-Hill
=
F
G
H
J
1
2
4
6
45 Which term correctly completes the statement?
A(n) _____ is a symbol used to represent a number.
A coefficient
B equation
C term
D variable
45
Go on
Virginia SOL, Grade 6
61
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
46 Which figure is shown?
F pyramid
H cone
46
G cylinder
J prism
47 The average total daily sales of gasoline in Virginia in December 2003,
was 10,725,800 gallons. What is that number in scientific notation?
B 10.73 107
A 1.07 107
C 1.07 108
D 10.73 108
47
48 A mail-order catalog surveyed its female customers about which type of
jeans they preferred. The results are shown in the circle graph. What
fraction of customers preferred slim-fit jeans?
48
Customers’ Jeans
Preferences
F
1
2
G
1
4
H
1
5
J
1
8
49 On the planet Doowop, a creature called a spink reproduces very quickly.
The number of spinks is squared every month. There are 2 spinks in a
field. How many spinks are in the field after 4 months?
A 8
B 16
C 256
D 65,536
49
50 What is the area of a circle with a diameter of 8 centimeters? Use 3.14
for pi.
G 50.24 cm2
F 200.96 cm2
H 25.12 cm2
J 12.56 cm2
50
62
Virginia SOL, Grade 6
Copyright © Glencoe/McGraw-Hill
straight
leg
slim fit
relaxed
boot cut
fit
STOP