Table Of ContentG
® R ® GRADE
Word Problems A
D
E
6
6
Word
Supporting your child’s educational journey every step of the way.
Spectrum® provides specific support in the skills and standards that
your child is learning in today’s classroom.
Problems
• Comprehensive, grade-specific titles to prepare for the year ahead
• Subject-specific practice to reinforce classroom learning S
P
E
• Skill-specific titles to enrich and enhance educational concepts C
T
R
• Test preparation titles to support test-taking skills U
M
W
No matter your need, Spectrum is with you every step of the way. o
r
d
P
r
o
is available in these titles for sixth grade success:
Spectrum b
l
e
m
s
Focused Practice for
Word Problem Mastery
•Real world applications
Other titles available:
Geometry Fractions •Multi-step word problems
Algebra Measurement
•Fractions, decimals, and percents
Grades 6–8 Grades 6–8
Geometry Data Analysis •Metric and customary measurement
Grades 6–8 & Probability
Grades 6–8 •Graphs, probability, and statistics
•Geometry
•Preparing for algebra
carsondellosa.com
carsondellosa.com/spectrum
704492 CO 6.indd 1 4/4/19 3:47 PM
704492 CO 6.indd 2 4/4/19 3:47 PM
Word Problems
Grade 6
Spectrum®
An imprint of Carson-Dellosa Publishing LLC
Greensboro, North Carolina
0-7696-5916-0 FM_Final.indd 1 9/23/13 10:50 AM
Spectrum® is an imprint of Carson-Dellosa Publishing.
Printed in the United States of America. All rights reserved. Except as permitted under the United States Copyright Act, no
part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval
system, without prior written permission from the publisher, unless otherwise indicated. Spectrum® is an imprint of Carson-
Dellosa Publishing. © 2014 Carson-Dellosa Publishing.
Send all inquiries to:
Carson-Dellosa Publishing
P.O. Box 35665
Greensboro, NC 27425 USA
ISBN 978-1-4838-0917-5
Table of Contents Grade 6
Chapter 1 Adding and Subtracting through 6 Digits
Chapter 1 Pretest 1
Lessons 1–3 2–4
Chapter 1 Posttest 5
Chapter 2 Multiplying and Dividing Whole Numbers
Chapter 2 Pretest 6
Lessons 1–5 7–11
Chapter 2 Posttest 12
Chapter 3 Understanding Fractions
Chapter 3 Pretest 13
Lessons 1–6 14–19
Chapter 3 Posttest 20
Chapter 4 Adding and Subtracting Fractions
Chapter 4 Pretest 21
Lessons 1–4 22–24
Chapter 4 Posttest 25
Chapter 5 Multiplying and Dividing Fractions
Chapter 5 Pretest 26
Lessons 1–6 27–31
Chapter 5 Posttest 32
Chapter 6 Adding and Subtracting Decimals
Chapter 6 Pretest 33
Lessons 1–6 34–38
Chapter 6 Posttest 39
Chapters 1–6 Mid-Test 40–43
Chapter 7 Multiplying and Dividing Decimals
Chapter 7 Pretest 44
Lessons 1–5 45–47
Chapter 7 Posttest 48
Chapter 8 Finding Percents
Chapter 8 Pretest 49
Lessons 1–4 50–55
Chapter 8 Posttest 56
iii
0-7696-5916-0 FM_Final.indd 3 9/23/13 10:50 AM
Table of Contents, continued
Chapter 9 Customary Measurement
Chapter 9 Pretest 57
Lessons 1–4 58–61
Chapter 9 Posttest 62
Chapter 10 Metric Measurement
Chapter 10 Pretest 63
Lessons 1–5 64–68
Chapter 10 Posttest 69
Chapter 11 Probability and Statistics
Chapter 11 Pretest 70–71
Lessons 1–7 72–78
Chapter 11 Posttest 79–80
Chapter 12 Geometry
Chapter 12 Pretest 81
Lessons 1–6 82–88
Chapter 12 Posttest 89
Chapter 13 Preparing for Algebra
Chapter 13 Pretest 90–91
Lessons 1–9 92–105
Chapter 13 Posttest 106–107
Chapters 1–13 Final Test 108–113
Scoring Record for Posttests, Mid-Test, and Final Test 114
Grade 6 Answers 115–124
iv
0-7696-5916-0 FM_Final.indd 4 9/23/13 10:50 AM
NAME
Check What You Know
C
H
A
P
Adding and Subtracting through 6 Digits T
E
R
1
P
Read the problem carefully and solve. Show your work under each question. R
E
T
A traffic engineering company performed a survey of the vehicles using a section of a highway. E
S
T
During the survey period, the engineers counted 34,780 cars, 12,679 small commercial vehicles,
2,410 medium trucks, 14,397 large trucks, and 876 other vehicles.
1. What is the total number of medium and 4. About how many small commercial
large trucks that used the highway during vehicles and medium trucks used the
the survey? highway during the survey?
about commercial
trucks
vehicles and medium trucks
2. Out of all the vehicles classified as other 5. What is the difference between the
vehicles, 664 of them were motorcycles. number of large trucks and the number
How many of the other vehicles were not of medium trucks counted in the survey?
motorcycles?
trucks
were not motorcycles
3. How many of the vehicles that were 6. What is the total number of vehicles
counted in the survey were not classified that passed the survey point during
as cars? the counting period?
vehicles were vehicles
not cars
Spectrum Word Problems Check What You Know
Grade 6 Chapter 1
1
0-7696-5916-0 sec1_Final.indd 1 9/23/13 10:51 AM
NAME
Lesson 1.1 Adding and Subtracting 2 and 3 Digits
Read the problem carefully and solve. Show your work under each question.
Lee bought a bag of 500 marbles. He sorted the marbles by color. He had 163 red marbles,
175 green marbles, 98 yellow marbles, and 64 blue marbles.
3. Of the 500 marbles, how many were not
Helpful Hint green?
When two digits add up to more than 10,
rename the digits and carry, if necessary. marbles
For example:
1
1 8
(cid:31) 1 9
3 7
17 is renamed as 1 ten and 7 ones.
1. Lee placed all of the red marbles and the
4. There were two sizes of red marbles. If
yellow marbles in one bag. How many
18 of the red marbles were large, how
marbles were in the bag in total?
many small red marbles were in the bag?
marbles
red marbles
2. Lee placed the blue and green marbles 5. If Lee gave 128 of the marbles to his
in another bag. How many marbles friend Anna, how many marbles did
altogether were in that bag? he still have?
marbles marbles
Spectrum Word Problems Lesson 1.1
Grade 6 Adding and Subtracting 2 and 3 Digits
2
0-7696-5916-0 sec1_Final.indd 2 9/23/13 10:51 AM
NAME
Lesson 1.2 Adding and Subtracting Large Numbers
and Estimating
Read the problem carefully and solve. Show your work under each question.
Taro is researching the population of Alaska. He finds that the largest cities in Alaska are
Anchorage, Fairbanks, and Juneau. He learns that in 2006, the population of Anchorage was
278,700 people. The city of Fairbanks had a population of 31,142 people, and Juneau had a
population of 30,737 people.
3. Based on the 2006 census, what was
Helpful Hint the exact population of Anchorage and
Juneau combined?
To estimate a sum or difference, round
each number to the highest place value
they have in common, and then add or people
subtract.
If the digit to the right of the place value
is equal to or greater than 5, round to the
next higher number.
1. In 2006, about how many people lived 4. If the total population of Alaska in 2006
in Fairbanks and Juneau combined? was 670,053, how many people in
Alaska did not live in Anchorage?
about people
people
2. In 2006, about how many people lived 5. If 5,350 visitors came to Juneau for a
in Anchorage and Juneau combined? festival in 2006, about how many people
were in the city during the festival?
about people
about people
Spectrum Word Problems Lesson 1.2
Grade 6 Adding and Subtracting Large Numbers and Estimating
3
0-7696-5916-0 sec1_Final.indd 3 9/23/13 10:51 AM
NAME
Lesson 1.3 Adding 3 or More Numbers
(3 through 6 digits)
Read the problem carefully and solve. Show your work under each question.
There are five CD stores in an area. The chart below shows the number of CDs sold at each
store in January.
Store A Store B Store C Store D Store E
4,569 8,822 16,725 6,224 42,480
3. All of the sales at Store E were made
Helpful Hint online and all of the sales at the other
When adding numbers with different stores were made in person. How many
amounts of digits, be sure to line the of the CDs were sold in person?
numbers up correctly by place value
before adding. CDs
1. Store A, Store B, and Store C are owned
by the same company. How many CDs
altogether did that company sell in
January?
4. In addition to CDs, Store E sells t-shirts
CDs and posters. If there were 1,219 t-shirts
and 367 posters sold in January, what
was the total number of products sold by
Store E during this month?
products
2. Store B, Store C, and Store D are located
in the same shopping center. How many
CDs were sold in that shopping center in
all?
5. How many CDs altogether were sold at
CDs
the area stores in January?
CDs
Spectrum Word Problems Lesson 1.3
Grade 6 Adding 3 or More Numbers (3 through 6 digits)
4
0-7696-5916-0 sec1_Final.indd 4 9/23/13 10:51 AM
