100 - Scholastic

GRADE
6
100
Math Practice Pages
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100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Text Credits: Practice Pages 3, 5, 7, 9, 38, 41, 46, 52, 54, 58, 62, 64, and 89 taken and/or adapted from Practice, Practice,
Practice! Fractions & Decimals by Judith A. Muschla and Gary Robert Muschla © 2005 by Judith A. Muschla and Gary
Robert Muschla; Practice Pages 6, 15–19, 21, 23, 27, 30, 33, 34, 37, 39, 40, 42, 45, 47, 49, 56, 59, 63, 65–67, 78, 82,
and 96 taken and/or adapted from Tic-Tac-Math: Grades 5 & Up by Laura Meiselmann © 2005 by Laura Meiselmann;
Practice Pages 10, 12, 14, 69, 71, 72, 75, 77, 80, 83, 85–87, 92, 94, and 95 taken and/or adapted from Practice, Practice,
Practice! Algebra Readiness by Judith A. Muschla and Gary Robert Muschla © 2005 by Judith A. Muschla and Gary
Robert Muschla; Practice Pages 20, 22, 29, 35, and 50 taken from 50 Fill-In Math Word Problems: Fractions & Decimals by
Bob Krech and Joan Novelli © 2009 by Bob Krech and Joan Novelli; Practice Pages 24, 28, 36, 44, 48, 51, 53, 55, and
61 taken and/or adapted from Solve-the-Riddle Math Practice: Fractions & Decimals by Liane B. Onish © 2012 by Liane B.
Onish; Practice Pages 43 and 60 adapted from Practice, Practice, Practice! Word Problems by Judith A. Muschla and Gary
Robert Muschla © 2005 by Judith A. Muschla and Gary Robert Muschla; Practice Page 74 taken from 50 Fill-in Math
Word Problems: Algebra Readiness by Bob Krech and Joan Novelli © 2009 by Bob Krech and Joan Novelli. Other Practice
Pages from this workbook were previously published in: Morning Jumpstarts: Math, Grade 6.
Scholastic Inc. grants teachers permission to photocopy the reproducible pages from this book for classroom use. No
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of the publisher. For information regarding permission, write to Scholastic Inc., 557 Broadway, New York, NY 10012.
Edited by Mela Ottaiano
Cover design by Lindsey Dekker
Interior design by Melinda Belter
ISBN: 978-0-545-79942-3
Compilation copyright © 2015 by Scholastic Inc.
Illustrations copyright © by Scholastic Inc.
All rights reserved.
Published by Scholastic Inc.
Printed in the U.S.A.
2 3 4 5 6 7 8 9 10 40 22 21 20 19 18 17 16
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Contents
Introduction . . . . . . . . . . . . . . . . 5
Practice Page 27 • Multiplying 4-Digit
by 2-Digit Numbers/
Word Problems . . . . . 33
Practice Page 1 • Writing Whole Numbers . . . 7
Practice Page 2 • Comparing Whole
Numbers . . . . . . . . . . 8
Practice Page 3 • Place Value/Decimals . . . . 9
Practice Page 4 • Writing Decimals . . . . . 10
Practice Page 5 • Comparing Decimals . . . 11
Practice Page 6 • Comparing Fractions . . . 12
Practice Page 7 • Ordering Decimals . . . . 13
Practice Page 8 • Rounding . . . . . . . . . 14
Practice Page 9 • Rounding . . . . . . . . . 15
Practice Page 10 • Identifying Integers . . . 16
Practice Page 28 • Multiplying Decimals . . . 34
Practice Page 29 • Multiplying Decimals/
Word Problems . . . . . 35
Practice Page 30 • Multiplying Decimals/
Word Problems . . . . . 36
Practice Page 31 • Dividing With Mental
Math and Estimation . . 37
Practice Page 32 • Dividing Multi-Digit
Whole Numbers . . . . . 38
Practice Page 33 • Dividing Multi-Digit
Whole Numbers/
Word Problems . . . . . 39
Practice Page 11 • Ordering Integers . . . . 17
Practice Page 12 • Comparing Integers . . . 18
Practice Page 13 • Absolute Value . . . . . 19
Practice Page 14 • Absolute Value . . . . . 20
Practice Page 34 • Dividing Decimals by
Whole Numbers . . . . . 40
Practice Page 35 • Dividing Decimals by
Whole Numbers/
Word Problems . . . . . 41
Practice Page 15 • Mixed Practice . . . . . 21
Practice Page 16 • Adding and Subtracting
Practice Page 36 • Dividing Decimals by
Practice Page 17 • Adding Whole Numbers/
Practice Page 37 • Dividing Decimals by
Decimals . . . . . . . . 42
Whole Numbers . . . . 22
Decimals/Word
Problems . . . . . . . . 43
Word Problems . . . . . 23
Practice Page 18 • Subtracting Whole
Numbers/Word
Problems . . . . . . . . 24
Practice Page 38 • Adding Mixed Numbers . . 44
Practice Page 39 • Adding Mixed Numbers/
Word Problems . . . . . 45
Practice Page 19 • Adding and Subtracting
Decimals . . . . . . . . 25
Practice Page 40 • Subtracting Fractions and
Mixed Numbers . . . . . 46
Practice Page 20 • Adding Decimals/
Word Problems . . . . . 26
Practice Page 41 • Subtracting Mixed
Numbers . . . . . . . . 47
Practice Page 21 • Adding Decimals/
Word Problems . . . . . 27
Practice Page 42 • Subtracting Mixed
Numbers/Word
Problems . . . . . . . . 48
Practice Page 22 • Subtracting Decimals/
Word Problems . . . . . 28
Practice Page 23 • Subtracting Decimals/
Practice Page 43 • Adding and Subtracting
Mixed Numbers/Word
Problems . . . . . . . . 49
Word Problems . . . . . 29
Practice Page 24 • Adding and Subtracting
Decimals/Word
Problems . . . . . . . . 30
Practice Page 44 • Multiplying Whole and
Mixed Numbers . . . . . 50
Practice Page 25 • Multiplying With Mental
Practice Page 45 • Multiplying Fractions and
Practice Page 26 • Multiplying 3-Digit
Practice Page 46 • Multiplying Mixed
Mixed Numbers . . . . . 51
Math and Estimation . . . 31
by 3-Digit Numbers . . . 32
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Numbers . . . . . . . . 52
Practice Page 47 • Multiplying Mixed
Numbers/Word
Problems . . . . . . . . 53
Practice Page 48 • Dividing Fractions by
Fractions . . . . . . . . 54
Practice Page 49 • Dividing Fractions
by Fractions . . . . . . . 55
Practice Page 50 • Dividing Decimals by
Whole Numbers/
Word Problems . . . . . 56
Practice Page 51 • Dividing Mixed by
Whole Numbers . . . . . 57
Practice Page 52 • Dividing Mixed Numbers 58
Practice Page 53 • Converting Fractions
to Decimals . . . . . . . 59
Practice Page 71 • Order of Operations . . . 77
Practice Page 72 • Order of Operations . . . 78
Practice Page 73 • Writing Expressions . . . 79
Practice Page 74 • Writing Expressions/
Word Problems . . . . . 80
Practice Page 75 • Writing Expressions/
Word Problems . . . . . 81
Practice Page 76 • Simplifying Expressions . 82
Practice Page 77 • Evaluating Expressions . 83
Practice Page 78 • Evaluating Expressions . 84
Practice Page 79 • Evaluating Expressions . 85
Practice Page 80 • Writing Equations . . . . 86
Practice Page 81 • Writing Equations . . . . 87
Practice Page 54 • Converting Decimals to
Practice Page 82 • Writing Equations/
Practice Page 55 • Converting Fractions
Practice Page 83 • Writing Equations/
Percents . . . . . . . . 60
to Percents . . . . . . . 61
Word Problems . . . . . 88
Word Problems . . . . . 89
Practice Page 56 • Mixed Practice . . . . . . 62
Practice Page 84 • Solving Equations . . . . 90
Practice Page 57 • Calculating Percents . . . 63
Practice Page 85 • Solving Equations . . . . 91
Practice Page 58 • Calculating Percents . . . 64
Practice Page 86 • Writing and Solving
Practice Page 59 • Calculating Percents/
Word Problems . . . . . 65
Practice Page 60 • Calculating Percents/
Word Problems . . . . . 66
Practice Page 61 • Calculating Percents/
Word Problems . . . . . 67
Practice Page 62 • Identifying Decimal
Patterns . . . . . . . . . 68
Practice Page 63 • Identifying Decimal
Patterns . . . . . . . . . 69
Practice Page 64 • Identifying Fraction
Patterns . . . . . . . . 70
Practice Page 65 • Identifying Fraction
Patterns . . . . . . . . . 71
Practice Page 66 • Factors, Primes, and
Greatest Common
Factor . . . . . . . . . . 72
Practice Page 67 • Multiples and Least
Inequalities . . . . . . . 92
Practice Page 87 • Writing Rules for
T-Tables . . . . . . . . . 93
Practice Page 88 • Identifying Ratios . . . . 94
Practice Page 89 • Solving Proportions . . . 95
Practice Page 90 • Calculating Rate . . . . . 96
Practice Page 91 • Graphing a Coordinate
Plane . . . . . . . . . 97
Practice Page 92 • Graphing a Coordinate
Plane . . . . . . . . . . 98
Practice Page 93 • Graphing a Coordinate
Plane . . . . . . . . . . 99
Practice Page 94 • Calculating Area . . . . 100
Practice Page 95 • Calculating Area . . . . 101
Practice Page 96 • Calculating Averages . . 102
Practice Page 97 • Data Analysis . . . . . . 103
Common Multiple . . . . 73
Practice Page 98 • Data Analysis . . . . . . 104
Practice Page 68 • Exponents . . . . . . . 74
Practice Page 99 • Data Analysis . . . . . . 105
Practice Page 69 • Exponents . . . . . . . 75
Practice Page 100 • Data Analysis . . . . . 106
Practice Page 70 • Identifying Properties . . 76
Answer Key . . . . . . . . . . . . . . . . 107
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Introduction
In today’s busy classrooms, it is vital to maximize learning
time. That’s where 100 Math Practice Pages, Grade 6 comes
in. The activities in this book are designed to review and
reinforce a range of math skills and concepts students will
build throughout the year. Each page provides focused,
individual practice on an essential, grade-level skill students are expected to
master, including multiplication, division, fractions, decimals, percents, ratios,
numerical expressions, equations, geometry, and data analysis.
Reviewing concepts students have already learned is a good way to
keep their math skills sharp and to discover where revisiting a skill may
be beneficial. You know your students best, so feel free to pick and choose
among the activities and incorporate them as you see fit. The goal is to build
automaticity, fluency, and accuracy so students can succeed in school.
How to Use This Book
The engaging activity
Preview each activity page to ensure that students
pages are a great
have the skills needed to complete it. If necessary,
way to help students:
walk through its features with your class to provide an
3 reinforce key
overview before you assign it and to make sure students
academic skills
understand the directions. Work out a model problem or
and concepts
two as a class.
3 meet curriculum
The 100 practice pages can be used to enhance the
standards
curriculum during math time, to keep fast finishers on
task anytime, or as homework.
3 prepare for
You’ll find an answer key beginning on page 107.
standardized tests
If time allows, you might want to review answers with
3 succeed in school
the whole class. This approach provides opportunities
for discussion, comparison, extension, reinforcement,
3 become lifelong
learners
and correlation to other skills and lessons, Your
observations can direct the kinds of review or reinforcement you may want to add to your lessons.
Alternatively, you may find that having students discuss activity solutions and
strategies in small groups is another effective way to deepen understanding.
5
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Meeting the Standards
Completing the exercises will help students meet the College and Career
Readiness Standards for Mathematics, which serve as the backbone for the
practice pages in this book. These broad standards were developed to establish
a framework of clear educational expectations meant to provide students
nationwide with a quality education that prepares them for college and
careers. The following list details how the activities in this book align with the
standards in the key areas of focus for students in grade 6.
Standards for Mathematics
Mathematical Practice
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. C
onstruct viable arguments and critique the reasoning
of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeating reasoning.
Mathematical Content
3 Ratios and Proportional Relationships
3 The Number System
3 Expressions and Equations
3 Geometry
3 Statistics and Probability
6
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
1
Writing Whole Numbers
Name
Date
Super Summer Numbers
W
rite each number in standard form.
1. three hundred billion ten ___________________________________________________
2. fifty-nine billion one hundred thirty _________________________________________
3. six hundred six billion ______________________________________________________
4. thirty-two trillion one hundred four _________________________________________
5. seven trillion four hundred _________________________________________________
6. five million twenty-four thousand twenty
_____________________________________________________________________________
7. twenty-four billion sixteen million ___________________________________________
8. one hundred fifty-two trillion two billion five
_____________________________________________________________________________
9. ninety-seven million fourteen thousand eleven
_____________________________________________________________________________
10. forty-eight trillion nine hundred billion one thousand twenty-seven
_____________________________________________________________________________
7
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
2
Comparing Whole Numbers
Name
Date
Dare to Compare
Compare. Write <, =, or >.
1.788,000 _________ 780,000,000
2.606,666,000 _________ 606,000,666
3.87,000,000,000 _________ 970,000,000
4.585,500,000 _________ 585,005,000
5.300,000,099,000 _________ 300,001,000,000
6. fifty million _________ 50,000,000
7. four hundred four billion _________ 400,000,004
8. three trillion five hundred million _________ 3,500,000,000
9.1,000,000,370,000 _________ one trillion thirty-seven thousand
10. four hundred fifty trillion _________ 450,000,000,000
8
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
3
Place Value/Decimals
Name
Date
Showtime!
This city is home to the first movie theater to open in
the U.S. What is the name of this city?
I
Answer: ______________________________
9455312608
To answer the question above, write the number that represents the place
value listed next to each decimal. Then write the corresponding letter in the
space above its answer. The first one has been done for you. Hint: One letter
will be used more than once. One letter will not be used.
4
I.0.643
______ hundredths
U. 4,284.01
______ hundreds
R. 0.6872
______ tenths
B. 9.78215
______ ten-thousandths
C. 1.4729
______ hundredths
G. 1.6403
______ thousandths
S. 123.48
______ ones
P. 526.96
______ tenths
H. 59.068
______ thousandths
T. 651.034
______ tens
To learn what year this theater opened, continue finding the given values for
the following decimals. Correct answers (from top to bottom) will be the year.
1
82.013 2
0.04895 ______ ten-thousandths
3
0.62015 ______ thousandths
4
612.593 ______ tenths
______ hundredths
9
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
4
Writing Decimals
Name
Date
Decimal Detective
W
rite each decimal in standard form.
1. eight tenths _______________________
2. six hundredths _______________________
3. sixty-three hundredths _______________________
4. sixteen thousandths _______________________
5. nine ten-thousandths _______________________
6. one and two hundredths _______________________
7. 12 hundred thousandths __________________________________________
8. 60 and 9 hundredths __________________________________________
9. 47 ten-thousandths __________________________________________
10. 7 thousand and 22 thousandths __________________________________________
3.951
10
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
5
Comparing Decimals
Name
Date
Look to the East!
The easternmost point in the
United States is located in Maine.
What is the name of this place?
Answer:
____________
9112 5
__________________
101 6134 8
___ ___ ___ ___
14 7 3 12
To answer the question, use the signs >, <, or = to compare each pair of decimals.
Write the letter of the larger decimal in the space above its problem number. If a
pair of decimals is equal, write the letter E (for equal) above the problem number.
1
2
3
4
15.40 _______ 15.042
DH
5
0.075 _______0.0740
TM
6
0.8009_______ 0.81
LO
7
7.601 _______7.6010
CK
0.45 _______
0.5
NU
8
12.54 _______ 12.539
YT
9
4.781 _______ 4.7672
W G
10
1.904_______19.03
VQ
11
0.004 _______ 0.00400
JP
0.37 _______ 0.295
SI
2.965 _______ 2.99
RA
12 0.0530_______
0.04
D S
13 11.642_______ 11.75
14 11
KD
23.6404 _______23.64112
MH
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
6
Comparing Fractions
Name
Date
Fractions Beyond Compare
These fractions are simply gorgeous! Solve three
problems in a row to get Tic-Tac-Math!
Circle the fractions that are
Circle the fractions that are
Write three fractions that are
greater than 2 .
less than 2 .
equivalent to 2 using the
denominators 20, 44, and 72.
1
___
5
___
10
___
6
___
3
___
15
___
9
___
4
___
21
___
12
28
18
16
14
10
she eat if she wants to eat
2
___
more: 4 of a pizza or 3 of
a pizza?
4
___
7
60
29
6
___
18
14
___
Marco studied for 16 of an
hour, and Melissa studied for
3
___
4
1
___
15
___
6
56
___
50
Which amount of pizza should
3
___
1
___
4
Hortence is really hungry.
2
___
1
___
of an hour. Who studied
longer?
7
___
1
___
Frangelica swam 2 2 laps at
the pool, while her sister Bailey
2
___
swam 2 4 laps. Who swam
more?
3
___
Bekah ran 5 of a mile and
2
___
Jeff ran 3 of a mile. Who ran
Paula Sue completed 8
of her homework, and
Roberto skied 4 5 miles on the
cross-country trails, while his
more?
Janet Lynn completed 20
of her homework. Who did
brother Pascal skied 4 10 miles.
Who skied a greater distance?
15
___
9
___
a greater portion of her
homework?
12
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
7
Ordering Decimals
Name
Date
Let’s Go to a Movie
The first “real” movie was produced in 1903.
What was the name of this movie?
Answer:
THE
__________________________________________
123456
To answer the question, arrange each set of decimals in order from smallest
to largest. Then arrange the letters of the decimals of each set in the same
order. Write the letters in the spaces above their problem numbers. You will
have to separate the letters into words. The first one has been done for you.
1
2
H. 1.010 T. 1.001
E. 1.101
T.
1.001
H.1.010
E. 1.101
_________________________________________________________________________
R. 4.245 E. 4.25
G. 4.205
_________________________________________________________________________
3
T. 0.854 A. 0.853
T. 0.8539
_________________________________________________________________________
4
A. 0.0082 R. 0.00802
I. 1.0820
_________________________________________________________________________
5
O. 17.1020 R. 17.1002
N. 17.013
B. 17.120
_________________________________________________________________________
6
E. 2.03254 B. 2.00325
Y. 2.3253
R. 2.325
_________________________________________________________________________
13
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
8
Rounding
Name
Date
Round ’em Up
Complete each set of problems below.
1.Round each number to the nearest 1,000 and 100,000.
Number
Nearest 1,000
Nearest 100,000
390,000
400,000
1,844,938
1,845,000
1,800,000
24,061,562
24,062,000
24,100,000
389,900
2.Round to the place of the underlined digit.
30,948,007 _____________________
92,807.045 _____________________
1,286,000.372 __________________
4,000,040,706 ___________________
8,726,739.0283 _________________
5,528,908,282 ___________________
3.Round to the greatest nonzero place.
0.047 __________________________
9.807 __________________________
0.00872 ________________________
44.4123 ________________________
6,727.39 _______________________
0.00526 ________________________
14
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
9
Rounding
Name
Date
Buzzing ’round
R
ound each decimal to the given place.
Circle the correct answer.
1.Round 0.584 to the
nearest tenth.
0.684
0.6
0.59
2.Round 6.0392 to the
nearest hundredth.
7.00
6.049
6.04
3.Round 4.7503 to the
nearest thousandth.
4.8004.7504.75
4.Round 29.546 to the
nearest whole number.
29.5
30
30.5
5.Round 0.704788 to the
nearest ten-thousandth.
0.7048
0.705
0.70479
6.Round 297.0432 to the
nearest hundredth.
300
297.04
297.043
7.Round 12.407992 to the
nearest ten-thousandth.
12.4079 12.408092
12.4080
8.Round 27.086 to the
nearest whole number.
27.09
27.1
27
9.Round 6.38724 to the
nearest ten-thousandth.
6.39006.38726.38704
10. Round 63.30156 to
the nearest thousandth.
63.302
15
63.301
63.3016
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
10
Identifying Integers
Name
Date
What’s in the Fridge?
In 1851, the first patent for mechanical refrigeration was
awarded to an American inventor. The basic process this
man invented is still used today. What was his name?
Answer:
________________ ________________________
1234 5678910
To answer the question, find the point described in each
problem on the number line and write it on the space next to
each problem. Write the letter of the point in the space above
its problem number. Hint: Some letters will be used more
than once. Some will not be used.
J T S N E I O R V HMDG
-6-5-4-3-2-1 0 1 2 3 4 5 6
1
It is the smallest number that is pictured on the graph. ______________
2
It is halfway between –1 and +1. ______________
3
It is 3 units to the right of 0. ______________
4
It is 3 units to the right of –6. ______________
5
It is the largest number that is graphed. ______________
6
It is neither positive nor negative. ______________
7
It is 4 units to the right of –3. ______________
8
It is 5 units to the left of +6. ______________
9
It is 4 units to the left of +3. ______________
10
It is halfway between –3 and –1. ______________
16
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
11
Ordering Integers
Name
Date
Order! Order!
Complete each set of problems below.
1. Order the integers from least to greatest.
–6
–2
–4
4
–9
40
–5
___________________________________
–40
___________________________________
2. Order the integers from greatest to least.
–9
–91
19
–17
7
–77
9
___________________________________
17
___________________________________
3. Write the integer that represents each of the following:
a loss of $5 dollars
___________________________________
an increase in altitude of 400 feet
___________________________________
a dive to 75 feet below sea level
___________________________________
a rise in temperature of 6 degrees ___________________________________
17
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
12
Comparing Integers
Name
Date
Big Wings
With a wingspan of nearly 10 feet, this
seabird has the largest wingspan of any bird.
What is the name of this bird?
Answer:
___________________________
147 8 3181012413
___________________________
159166 1112 517
To answer the question, use > or < to make each number sentence true.
Write the letter beneath the sign in the space above the problem number.
1
>
K
2
>
D
9
0____–2
>
S
<
G
10 12 <
A
13 8____+5
<
P
14 5____–6
<
U
15 11____–15
>
R
>
O
<
C
18
<
R
8____+4
–
>
L
<
I
6____–5
–
>
S
+
>
L
1____0
–
+
>
N
2____0
2____+5
<
N
<
W
–
>
V
8
–
>
R
5
<
L
4____–7
<
O
>
A
7
11
+11____–12
3____+8
>
S
4
<
T
–
3
6
8____+7
–
<
G
16 3____–8
+
>
B
17 18 <
H
7____+2
–
>
M
<
S
2____–6
>
E
<
A
2____+2
–
>
C
<
W
0____–3
>
A
<
N
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
13
Absolute Value
Name
Date
Absolutely Amazing!
Write the absolute value of each number.
–326 _________
–4.5 _________
2
– ___
5 _________
– 0.6 _________
–22 _________0 _________
–87 _________
–15 _________18 _________
5
– ___
8 _________
2
___
3 _________75 _________
Complete the chart.
Statement
True or False?
1. A
ny number on a number line is greater
than any number to its left.
2. T
he number –6 is to the left of –9 on the
number line.
3. If x is a positive integer, then x > than 0.
4. A
ny positive integer has a greater absolute
value than any negative integer.
19
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
14
Absolute Value
Name
Date
Fairy Tales
The Grimm Brothers collected and published fairy tales,
including “Cinderella,” “Rapunzel,” and “Rumpelstiltskin.”
What were the full names of the Grimm Brothers?
Answer:
_______________ __________________ ____________
54537024
15653
17
62 2523
24
and _____________________ ____________
53
17
249824
12 2523
24
To answer the question, write the absolute value of the numbers
and complete the number sentences below. Write the letter of
each problem in the space above its answer. Hint: Some letters
will be used more than once. Some will not be used.
D. | + 6| = _______
S. | –16| = _______
E. | –8| = _______
R. | + 23| = _______
I. | + 17| = _______
U. | –15| = _______
C. | + 3| = _______
O. | + 14| – | –7| = _______
P. | –14| = _______
K. | –19| – | + 17| = _______
M. | –12| = _______
G. | + 52| + | –10| = _______
B. | 0 | = _______
W. | + 44| + | –9| = _______
A. | –5| = _______
L. | –18| + | 6| = _______
H. | + 9| = _______
J. | –64| – | 10| = _______
20
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
15
Mixed Practice
Name
Date
Absolutely Positive!
Being negative isn’t so bad. Negative numbers are
actually pretty cool. Solve three integer problems in
a row to get Tic-Tac-Math!
What is the absolute value
What is the absolute value
of –8?
of –13?
Fill in the box with <, >, or =.
–3
Fill in the box with <, >, or =.
Imagine a number line with
2
What is the sum of –3 and +7?
negative numbers to the left
6
–5
of zero and positive numbers
to its right. If you start on +7
and move three spaces to
the right, on what number
will you land?
Find the sum:
–4 + –3 + –11
Talia added –4 + –5 + 8 and
What number should you add
got –17. She made an error.
to –8 to get +12?
What error do you think she
made? What is the correct
answer?
21
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
16
Adding and Subtracting
Whole Numbers
Name
Date
Plus or Minus?
Look at the signs. Then add or subtract.
1. 7,532
6.
67,312
– 38,350
2.
825
– 58
7.
89,429
+ 65,752
3. 18,475
8.
741,508
+ 20,676
4. 1,600
9.
2,945,062
– 834,173
5. 38,238
10.
3,813,455
+ 794,567
+ 3,269
+ 3,941
– 443
+ 37,882
22
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
17
Adding Whole Numbers/
Word Problems
Name
Date
Make a Splash!
M
ake a splash by solving these addition
word problems.
1.May DeSplash surfed 11,832 waves one
summer, and 34,729 the next summer. How
many waves did she surf in both summers?
________________
2.Sandy Beach had 57,385 visitors one year, 49,275
the next, and 53,658 the next. How many visitors
did Sandy Beach have in all three years?
________________
3.Jose loves to read books. He read books that were
449 pages, 764 pages, 502 pages, and 393 pages
this summer. How many pages is that in all?
________________
4.By the end of the summer, all of Dennis’s freckles
came out. He started with 702 freckles. Then his
mom counted 589 more freckles. How many freckles
did Dennis have at the end of the summer?
________________
23
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
18
Subtracting Whole Numbers/
Word Problems
Name
Date
Family Time
Solve each word problem.
Show your work in the tank.
1.The Ortiz family were
driving from their
house to their friends’
house 1,398 miles
away. After 199 miles,
they took a break for
lunch. How many
more miles did they
have to drive to get
to their friends?
THINK TANK
___________________
2.Carolina and her dad
wanted to make the
world’s largest
chocolate-chip cookie
with 72,390 chips in it.
But they ran out of
chips after they had
used 55,431. How
many more chocolate
chips did they need
to buy?
THINK TANK
___________________
24
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
19
Adding and Subtracting
Decimals
Name
Date
Decimal Derby
Find each sum or difference.
1. 7 + 8.56 = __________________
2. 0.852 + 0.45 + 0.2613 = __________________
3. 2.08 + 0.707 = __________________
4. 9.3 + 0.4637 + 0.5441 = __________________
5. 8 – 2.0476 = __________________
6. 0.91 – 0.745 = __________________
7. 4.3 + 2.5 = __________________
8. 7.65 – 4.3 = __________________
9. 6.8 + 3.65 = __________________
10. 8.25 – 1.4 = __________________
11. 49.38 + 16.01 = __________________
12. 67.39 – 4.934 = __________________
25
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
20
Adding Decimals/
Word Problems
Name
Date
Clubhouse
Fill in words and numbers as directed.
Then solve the problem.
M
and
y friends
(first name of a boy or girl)
and I are building a
(first name of a boy or girl)
clubhouse in my yard for our club, the
. We named our clubhouse Fort
(plural noun)
We are building it out of
It has a room just for
where we can
(adjective)
(type of substance)
(verb ending in -ing)
and
(noun)
(decimal number)
(decimal number)
meters long. Our flag
and
(color)
(color)
on it. That’s our club mascot. I can’t wait for our
next meeting. We are going to
ve
Sol s!
Thi
.
and a space on the roof
we made out of two sticks we joined together. One was
has a beautiful
(type of substance)
.
. We put up a flagpole, too, which
(present-tense verb)
meters long and the other was
(last name of a famous person)
(present-tense verb)
marshmallows!
How long is the flagpole?
Answer with a decimal.
26
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
21
Adding Decimals/Word Problems Name
Date
Decimal Jumps
Solve each word problem.
Show your work in the tank.
1. In the frog-jumping
contest, Hannah’s frog
jumped 48.7 cm on
his first try and
35.9 cm on his
second try. How far
did Hannah’s frog
jump in all?
THINK TANK
___________________
2. Francisco jumped
180.5 cm on his first
standing long jump.
On his second jump,
he jumped 200.2 cm.
On his third jump, he
jumped 191.35 cm.
How far did he
jump in all?
THINK TANK
___________________
27
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
22
Subtracting Decimals/
Word Problem
Name
Date
Gigantic Snacks
Fill in words and numbers as directed.
Then solve the problem.
A
new restaurant called Gigantic Snacks just
opened up in
. Everything
(name of a town)
on the menu here is enormous, and nothing cost more than
(amount of money)
! The first time I went, I had an amazingly
hamburger that weighed
(adjective)
pounds. It came with a special
(number greater than 1)
milkshake that was so
(flavor)
and creamy. I also got one French fry that was
meters long! I dipped it in
only ate
(decimal less than 0.55)
(type of condiment)
-ounce
(adjective)
(decimal greater than 0.55)
. It was delicious, but I
meters of it. I was so full, I sadly did not
have room for their famous chocolate-covered
ve
l
o
S
s!
Thi
(number greater than 1)
(plural noun)
.
How much of the
French fry was left?
Answer with a decimal.
28
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
23
Subtracting Decimals/
Word Problems
Name
Date
Decimal Deli
P
eople order strange amounts of food
at the Decimal Deli. Solve the problems
to find out the final amounts.
1.Paula orders 3.75 pounds of macaroni salad
and 2.25 pounds of coleslaw. How many more
pounds of macaroni salad does she have
than coleslaw?
________________
2.Robby orders 1.33 pounds of turkey, then
asks the clerk to put 0.425 pounds of it back.
How much turkey did Robby end up with?
________________
3.Anne-Marie orders 0.75 pounds of mozzarella
cheese and 2.478 pounds of salami. How many
more pounds of salami does she have than cheese?
________________
4.Gabriella orders 27.152 pounds of olive loaf.
Right after that, Christopher orders 35.08
pounds of it! How much more olive loaf did
Christopher order?
________________
29
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
24
Adding and Subtracting
Decimals/Word Problems
Name
Date
What did the buffalo mom
say on Monday morning!
Add or subtract.
Solve the riddle using your answers.
Jorge bought a new notebook for $3.99.
How much change did he get from $10.00?
I
Ruby bought a set of watercolor paints and
a sketchpad. The paints cost $8.75. The sketchpad
cost $4.95. How much did she spend?
O
Marc bought a special gift pack of stickers and
crayons for his little sister. The pack cost $3.75.
How much change did he get from $5.00?
E
Amanda bought a new ring binder, 3-hole
notebook paper, and a set of marking pens.
Each cost $0.99. How much did she spend?
S
Jeri picked art paper and pastel markers.
The art paper cost $7.99. The markers cost $4.69.
How much did Jeri spend?
N
Five friends shared a pizza after shopping.
The pizza cost $12.75. How much change
did they get from $20.00?
B
Solve the Riddle!
“
$7.25
Write the letter that goes with each answer.
$6.01
–
$2.97
30
$13.70
$12.68
!”
100 Math Practice Page, Grade 6 © 2015 • Scholastic Teaching Resources
Multiplying With Mental Math
and Estimation
25
Name
Date
Mental Multiplication
Complete each set of problems below.
1. Use mental math to find each product.
4 × 90 =
_______________
50 × 600 =
_______________
7 × 40,000 =
_______________
7 × 7,000 =
_______________
100 × 80 =
_______________
20 × 9,000 =
_______________
60 × 800 =
_______________
30 × 2,000 =
_______________
_______________
500 × 1,000 =
_______________
_______________
300 × 400 =
_______________
70 × 40,000 =
50 × 50 =
2.Estimate the product by rounding each
factor to its greatest place.
31 × 209 =
___________________
___________________
7 × 768 =
46 × 542 =
___________________
84 × 6,441 =
___________________
57 × 3,299 =
___________________
___________________
610 × 980 =
31
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
26
Multiplying 3-Digit by
3-Digit Numbers
Name
Date
The Great Multiplier
Solve each multiplication problem.
1.
388
x 222
5.
357
x 246
2.
407
x 123
6.
298
x 197
3.
250
x 150
7.
648
x 324
4.
966
x 509
8.
999
x 999
32
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
27
Multiplying 4-Digit by 2-Digit
Numbers/Word Problems
Name
Date
Superstar Math
Solve each word problem.
Show your work in the tank.
1. The Fuzzi Wuzzies’
new album has sold
1,562 copies. Each
album cost $18. What’s
the total amount
collected for all of
those albums?
___________________
THINK TANK
2.There were 6,257 teens
at The Stinky Cheese
concert. If each teen
screamed 83 times
during the concert,
how many screams
were there in all?
___________________
THINK TANK
33
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
28
Multiplying Decimals
Name
Date
Why are Saturday and Sunday
the strongest days?
Multiply. Round the answers to the nearest hundredth.
Solve the riddle using your answers.
3.1
x 0.04
4.9
x 5.6
T
S
5.85
x 5.80
Y
Solve the Riddle!
11.99
7.13
6.4
x 4.6
D
3.9
x 8.3
H
0.12
E
2.18
x 5.5
14.8
x 1.48
A
1.15
x 6.2
W
N
0.92
x 0.41
6.05
x 0.40
K
2.2
x 2.7
O
5.31
x 0.05
R
Write the letter that goes with each answer.
33.93
0.12
11.99
7.13
0.27
27.44
.
21.90
0.27
7.13
0.38
7.13
21.90
34
2.42
29.44 21.90 32.37 27.44
100 Math Practice Page, Grade 6 © 2015 • Scholastic Teaching Resources
29
Multiplying Decimals/
Word Problems
Name
Date
Class Poster
Fill in words and numbers as directed.
Then solve the problem.
I
n Mr.
’s
(last name of a boy)
class, we are studying
.
(plural noun)
My group has to make a poster. We bought some
posterboard from
(last name of a famous person)
Store. It cost $
(noun)
inch. We bought
(number greater than 10)
(decimal less than 0.99)
(adjective)
make it bright. We made a border out of
glow-in-the-dark
“
ve
Sol s!
Thi
(plural noun)
paint to
and stuck
across the bottom. Everyone said,
(plural noun)
(exclamation)
per square
square inches. We drew with
and used
(plural noun)
’s Art Supply and
!” when they saw it.
How much did the
posterboard cost?
Answer with a decimal.
35
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
30
Multiplying Decimals/
Word Problems
Name
Date
It’s Time(s) for Decimals!
Y
ou’re just in time to solve three decimal multiplication
problems! Read each problem carefully.
1.Speedy Sabrina runs a mile in 6.4 minutes.
If she continues at this pace, how long will it
take her to run 9.7 miles?
________________
2.Fast Fred runs a mile in 6.04 minutes. If he
continues at this pace, how long will it take
him to run 11.1 miles?
________________
3.Vincenzo ordered 9 veggie burgers to share
with his victorious volleyball teammates.
Each one costs $6.98. What’s the total price
of the burgers?
________________
4.Annabelle and 15 of her friends went to the
movies. Each ticket cost $9.50, and everyone
paid $2.95 for their own bag of popcorn.
What was the total cost for the movie tickets
and popcorn? ________________
36
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
31
Dividing With Mental Math
and Estimation
Name
Date
Division Detective
Use mental math and compatible numbers
to estimate each quotient.
1. 2,157 ÷ 5 = __________________________
2. 4,851 ÷ 7 = __________________________
3. 80,026 ÷ 90 = __________________________
4. 3,579 ÷ 68 = __________________________
5. 5,513 ÷ 66 = __________________________
6. 630,792 ÷ 79 = __________________________
7. 621,004 ÷ 7 = __________________________
8. 3,507 ÷ 313 = __________________________
9. 395,122 ÷ 42 = __________________________
10.31,512 ÷ 50 = __________________________
11.16,123 ÷ 801 = __________________________
12.420,045 ÷ 21 = __________________________
37
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
32
Dividing Multi-Digit
Whole Numbers
Name
Date
Name That Quotient!
Solve each division problem.
1.
_____
34 ) 5,777
2.
_____
15 ) 1,634
3.
_____
759 ) 2,710
4.
_______
72 ) 72,072
38
5.
_______
82 ) 36,389
6.
_______
57 ) 28,671
7.
_______
514 ) 88,408
8.
_______
45 ) 45,145
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
33
Dividing Multi-Digit Whole
Numbers/Word Problems
Name
Date
Dive Into Division!
Solve each word problem.
Show your work in the tank.
1. Juan is training to run
a marathon. He is
supposed to run
336 miles in 14 weeks.
If he runs the same
number of miles each
week, how many
miles will he run
each week?
THINK TANK
___________________
2.Luigi’s Pizzeria puts
18 slices of pepperoni
on each pepperoni
pizza that is ordered.
They used up all
1,746 slices of
pepperoni they
had one week. How
many pepperoni
pizzas did they
make that week?
THINK TANK
___________________
39
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
34
Dividing Decimals by
Whole Numbers
Name
Date
Pointy Decimal Points!
Watch out for the pointy porcupine! See how sharp
your decimal division skills are by solving three
problems in a row to get Tic-Tac-Math!
306.324
2216.72
14 114.8
50 1.515
60 96.66
25 201.5
37 9.287
41 82.82
86 137.6
40
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
35
Dividing by Whole Numbers/
Word Problems
Name
Date
Snazzy Skis
Fill in words and numbers as directed.
Then solve the problem.
I
love skiing, especially on Mount
(name of a place)
. To get ready for
my ski trip there next week, I packed long
and warm
. I asked my friend
(type of clothing)
(first name of a girl)
I wanted them to be
and
(color)
to help me get my skis ready by painting them!
,
(color)
so
ve
Sol s!
Thi
meters
all over. Believe me, these skis look
(plural noun)
(adjective)
(decimal consisting of even digits)
to finish it because we painted a
(amount of time)
cool pattern of
,
(color)
. I did one ski by myself, and then we split the
painting on the other ski evenly. The ski is
long. It took us
(type of clothing)
, everyone will want to know where I got them!
How much of the ski did
each person paint?
Answer with a decimal.
41
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
36
Dividing Decimals
by Decimals
Name
Date
What is a giraffe after it
is three days old?
Divide.
Solve the riddle using your answers.
6.8 40.12
0.9 8.73
8.3 39.01
7.4 64.38
S
1.2 3.36
O
D
5.4 18.09
A
9.3 73.47
8.7
4.1 84.87
U
3.1 7.13
T
5.2 30.42
F
2.9 20.30
Solve the Riddle!
3.35
Y
2.2 76.23
E
R
I
L
Write the letter that goes with each answer.
3.35
5.9
7
9.7
2.3
20.7
.
4.7
7.9
2.8
5.9
42
9.7
34.65
4.7
100 Math Practice Page, Grade 6 © 2015 • Scholastic Teaching Resources
37
Dividing Decimals by Decimals/
Word Problems
Name
Date
Dare to Divide Decimals!
D
on’t try this stunt at home!
Instead, divide decimals to
solve these word problems!
3.9 ÷ 0.15
1.Franny gave out 26.4 pounds of delicious
lemon squares to her family and friends.
She gave each person a 0.4-pound portion.
How many portions did Franny give out in all?
________________
2.Hortence has 12.75 yards of ribbon, which she
plans to cut into even strips of 0.75-yards.
How many strips will she have?
________________
3.Andy had 6.48 pounds of jelly beans, which
he divided evenly into 0.06-pound bags.
How many bags did he need?
________________
4.Gina made 8.5 pounds of fudge, which she
was putting into .75-pound bags to sell at the
school bake sale. How many bags of fudge can
she fill? How much fudge will she have left over?
________________
43
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
38
Adding Mixed Numbers
Name
Date
Home Sweet Home
Scientists estimate that Earth may be home to up to 30 million
different kinds of plants and animals. What word describes this
amazing variety of life on our planet?
Answer:
____________________________________________________________
7
7
4
1
7
2
5
3
1
7
9
1
___
___
___
___
___
___
___
__
___
___
___
9 ___
24 10 18 7 15 14 4 10 18 12 9 7 6 12 10 9 3 10 18 9 14 11 20
To answer the question, add the mixed numbers below. Be sure
your answers are simplified. Write the letter of the problem in
the space above its answer. Hint: One letter will be used more
than once. Some letters will not be used.
E.
1
5
5
4 –—
7 –—
2 –—
3 V.
9 I.
9
1
2
5
+ 3 –—
+ 4 –—
+ 7 –—
2 3 6
_____________________
S.
1
2
3
3 –—
6 –—
4 –—
2 B.
3 O.
5
5
5
2
+ 5 –—
+ 2 –—
+ 2 –—
6 8 3
_____________________
Y.
3
5
1
1 –—
5 –—
4 –—
4 J.
6 R.
2
3
1
4
+ 9 –—
+ 2 –—
+ 7 –—
10 3 5
_____________________
T.
3
5
7
3 –—
7 –—
4 –—
7 M.
8 D.
12
3
1
2
+ 6 –—
+ 3 –—
+ 9 –—
14 2 3
_____________________
44
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
39
Adding Mixed Numbers/
Word Problems
Name
Date
Frida’s Fractions
Solve each word problem.
Write all answers in simplest form.
Show your work in the tank.
3
1. Frida was 48 ___
4 inches
tall on her birthday
last year. This year
6
she grew 1 ___
8 inches
more. How tall is
she now?
___________________
THINK TANK
2. O
n Monday morning,
1
Frida walked 5 ___
3 miles.
On Wednesday morning
3
she walked 6 ___
4 miles,
and on Friday morning
7
she walked 5 ___
8 miles.
How many miles
did she walk
altogether?
THINK TANK
___________________
45
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
40
Subtracting Fractions
and Mixed Numbers
Name
Date
Fraction Leftovers
What’s left over when you subtract these fractions
and mixed numbers? Solve three problems in a row
to get Tic-Tac-Math! Write all answers in simplest form.
3
___
4
–
7
1
___
4
1
3
1
___
7 ___
5 – 3 5 =
2
___
9 ___
4 – 3 2 =
___
6 ___
10 – 3 5 =
7
3
=
5
___
10 ___
8 – 5 8 =
3
5 – 1 ___
5 =
46
7
___
–
8
3
___
16
5
=
5
___
6 ___
12 – 5 12 =
2
17 ___
3 –
6
___
15
=
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
41
Subtracting Mixed Numbers
Name
Date
Ancient Doctor
This man studied diseases and the human body nearly
2,500 years ago. He is often called the “father of
medicine.” Who was this man?
Answer:
_______________________________________________________
5
5
1
1
1
3
1
7
3
7
7
___
___
___
___
___
___
___
__
___
___
5 ___
12 5 6 4 3 4 3 4 24 3 4 3 10 4 8 5 10 5 8 4 9
To answer the question, add the mixed numbers below. Be sure your
answers are simplified. Write the letter of the problem in the
space above its answer. Hint: One letter will be used more than
once. Some letters will not be used.
R.
4
5
1
9 –—
9 –—
8 –—
5 E.
8 H.
6
7
3
3
– 6 –—
– 3 –—
– 2 –—
10 4 4
_____________________
C.
5
1
6 –—
11 –—
12 P.
5 2
O.12 –—
3
2
13
5
– 2 –—
– 6 –—
– 8 –—
3 15 8
_____________________
D.
1
1
8 –—
7 S.
7 –—
2 N.
3
5
3
5
– 3 –—
– 4 –—
– 2 –—
6 4 9
_____________________
1
3
1
T. 14 –—
7 –—
11 –—
2 A.
8 I.
10
1
1
4
– 9 –—
– 2 –—
– 5 –—
5 2 15
_____________________
47
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
42
Subtracting Fractions and Mixed
Numbers/Word Problems
Name
Date
Weekend Math
Solve each word problem.
Write all answers in simplest form.
Show your work in the tank.
1.Derek was building a
tree house. He intended
to cut a piece of wood
5
5 ___
8 inches long. By
mistake, he cut a piece
1
4 ___
4 inches long.
How much shorter
was the piece than
it was supposed to be?
THINK TANK
___________________
2.Maxine was planning
1
to run 10 ___
4 miles on
Saturday. She ran
4
3 ___
5 miles before
twisting her ankle.
How many miles
was Maxine short
of her goal?
THINK TANK
___________________
48
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
43
Adding and Subtracting Mixed
Numbers/Word Problems
Name
Date
Taryn’s Fractions
F
ractions play an important part
in Taryn’s life. Solve the following
problems. Simplify your answers.
1
1.Last week Taryn biked 2 2 miles on Monday,
1
3
3 4 miles on Wednesday, 2 8 miles on Saturday.
How far did she bike in all last week?
________________
1
2.Aunt Inez’s recipe for punch called for 4 2 quarts
of apple cider. When Taryn decided to make her
2
aunt’s punch, she had only 3 3 quarts of cider.
How much more did she need?
________________
3.Taryn tries to volunteer 6 hours each week at the
1
animal shelter. Last week she worked 1 2 hours
3
at the shelter on Tuesday and 3 4 hours on
Thursday. By how much did he fall short of
her goal last week?
________________
4.Sal and Taryn grew bean plants for a science
experiment. At the beginning of the month, Sal’s
1
1
plant was 3 4 inches tall and Taryn’s was 2 4 inches
1
tall. Two weeks later, Sal’s plant was 4 2 inches tall
7
and Taryn’s was 3 8 inches tall. Whose plant grew
more during that two-week period?
________________
By how much?
________________
49
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
44
Multiplying Whole and
Mixed Numbers
Name
Date
What should you do if a
lion takes your pen?
Multiply. Rename the answers in lowest terms.
Solve the riddle using your answers.
3
4
1
2
1
3
8
x 2 =
3
9
x 4 =
11
12
x 3 =
5
8
x 5 =
4
6
x 4 =
P
12
14
2 x 5
C
3 x 2
A
5 x 2
E
3 x 3
I
Solve the Riddle!
3
8
3 x 4
13
1
8
1
8
=
4
10
=
6
12
=
4
5
=
2
7
=
U
L
N
S
R
Write the letter that goes with each answer.
5
3
4
6
3
4
50
13
1
8
7
1
2
17
1
3
6
2
3
10
4
5
.
100 Math Practice Page, Grade 6 © 2015 • Scholastic Teaching Resources
45
Multiplying Fractions and
Mixed Numbers
Name
Date
Recipe for Multipli-Fractions
G
et cooking on solving these fraction multiplication
problems. Simplify your answers.
3
8
x 31 =
6.
2 1 x 33 =
4
5
x 1 =
7.
11
12
6
11
x 5 =
8.
2 2 x 36 =
4 2 x 82 =
1.
3
2.
3
3.
6
2
5
x 34 =
9.
5.
31
x 61 =
10.
4.
7
2
5
2
51
2
8
x
3
15
=
3
10
7
12
12 x 2 5 =
9
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
46
Multiplying Mixed Numbers
Name
Date
A Traffic Stopper!
In response to growing traffic problems, this African
American invented the automatic traffic signal in 1923.
What was this man’s name?
Answer:
______________________________ _____ .
1
1
1
1
1
4
1
___
___
___
___
___
___
___
6 2 10 2 8 3 8 3 5 4 8 5 10 2 ______________________________
1
1
1
1
1
8
___
___
___
___
___
___
3 2 2 4 8 3 6 2 10 2 3 9 To answer the question, multiply the mixed numbers below. Be
sure each answer is simplified. Write the letter of the problem in
the space above its answer. Hint: Some letters will be used more
than once. Some will not be used.
2
N.
1
2 ___
3
2
x 1 ___
3 =
T.
2 ___
3
3
x 3 ___
10 =
R.
3
3 ___
4
2
x 2 ___
9 =
S.
2
4 ___
5
3
x 3 ___
4 =
L.
1
1 ___
4
2
x 1 ___
5 =
A.
1
2 ___
3
1
x 4 ___
2 =
G.
2 ___
10
1
x 2 ___
2 =
H.
1
1 ___
3
1
x 1 ___
2 =
M.
1
1 ___
2
1
x 2 ___
3 =
O.
1
1 ___
2
1
x 1 ___
2 =
J.
1
3 ___
3
3
x 1 ___
4 =
E.
3
4 ___
8
1
x 1 ___
5 =
6
52
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
47
Multiplying Mixed Numbers/
Word Problems
Name
Date
Morning Math
Solve each word problem.
Write all answers in simplest form.
Show your work in the tank.
1.A pancake recipe calls
3
for 2 ___
4 cups of flour.
If James triples the
recipe, how much
flour will he use?
___________________
THINK TANK
2.Patrice usually walks
1
1 ___
2 miles each morning.
But yesterday, she
1
walked only ___
3 as
far. How far did
Patrice walk yesterday?
___________________
THINK TANK
53
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
48
Dividing Fractions by Fractions
Name
Date
How is 2 + 2 = 5 like
your left hand?
Divide. Rename the answers in lowest terms.
Solve the riddle using your answers.
1
2
÷
5
3
÷
7
12
÷
3
10
÷
2
3
÷
3
8
÷
6
9
=
2
3
=
3
4
=
1
8
=
4
5
=
1
3
=
R
L
S
H
N
G
Solve the Riddle!
9
10
1
3
4
‘
7
9
3
5
÷
5
9
÷
1
6
÷
1
5
÷
1
4
÷
3
7
÷
4
6
=
5
8
=
1
4
=
2
5
=
1
7
=
1
2
=
I
W
O
C
T
B
Write the letter that goes with each answer.
5
6
2
3
1
3
4
54
3
4
9
10
1
1
8
2
2
5
1
3
4
.
100 Math Practice Page, Grade 6 © 2015 • Scholastic Teaching Resources
49
Dividing Fractions by Fractions
Name
Date
I Will Divide This Fraction in Half!
Y
ou don’t have to be a magician to divide
fractions. Simply solve these problems!
Express answers in simplest form.
1.
1
2
÷ 1 =
7.
1
2
÷ 1 =
2.
2
5
÷ 1 =
8.
2
5
÷ 1 =
3.
3
9
÷ 2 =
9.
6
8
÷ 3 =
4.
1
2
÷ 1 =
10.
9
10
÷ 6 =
5.
1
3
÷ 2 =
11.
1
8
÷ 1 =
6.
5
8
÷ 5 =
12.
1
11
÷ 1 =
2
8
5
8
3
8
55
4
10
8
7
5
6
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
50
Dividing Fractions by Whole
Numbers/Word Problems
Name
Date
Summer Camp
Fill in words and numbers as directed.
Then solve the problem.
I
went with my friend
(first name of a boy)
to a summer camp called Camp
(adjective)
. The camp leader,
(noun)
at the entrance to welcome us. We got to do
like
in
(present-tense verb)
and
We were assigned to the
stuff
(adjective)
(present-tense verb)
and hike across
(body of water)
, was
(name of a famous person)
(type of animal)
. We could swim
(name of a place)
.
Patrol Tent. By the time
we checked in, the tent was mostly full with other campers. There was only
of the space left for us to sleep in. We split it up
(choose a number:
1
—
2
,
1
—
3
, or
1
—
4
)
evenly though. I had plenty of room for my sleeping bag and my favorite
(noun)
ve
Sol s!
Thi
, as well as my bag of
(plural noun)
.
What fraction of the
remaining tent space did
each boy get for sleeping?
56
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
51
Dividing Mixed by
Whole Numbers
Name
Date
How is a teacher like
an eye doctor?
Divide. Rename the answers in lowest terms.
Solve the riddle using your answers.
9
7
2
3
5
1
1
2
÷ 3 =
1
7
÷ 5 =
6
9
÷ 4 =
1
3
÷ 2 =
1
4
÷ 7 =
1
2
÷ 5 =
8
O
1
M
3
I
6
E
5
L
2
B
Solve the Riddle!
3
10
3
1
1
6
1
4
3
4
÷ 2 =
6
9
÷ 5 =
4
5
÷ 2 =
1
4
÷ 5 =
2
3
÷ 4 =
4
7
÷ 3 =
S
H
A
P
T
U
Write the letter that goes with each answer.
1
5
12
6
7
1
3
1
1
1
4
2
3
57
5
12
1
3
4
2
3
4
4
3
8
3
8
.
1
5
12
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
52
Dividing Mixed Numbers
Name
Date
A Famous Toy
In 1945, this man invented the Slinky. In 2000, the
Slinky was placed in the National Toy Hall of Fame
in Salem, Oregon. Who invented this famous toy?
Answer:
___________________________________ _________________________
1
3
4
5
3
1
3
3
3
3
1
2
___
___
___
___
___
___
___
___
___
___
___
___
1 4 4 4 2 9 2 7 2 4 1 4 1 4 2 20 2 4 1 7 2 2 4 3 1
6 ___
2 To answer the question, divide the mixed numbers below. Be sure
your answers are simplified. Write the letter of the problem in
the space above its answer. Hint: Some letters will be used more
than once. Some will not be used.
H.
1
1
___
9 ___
2 ÷ 3 2 =
M.
1
3
___
2 ___
2 ÷ 1 4 =
S.
1
3
___
17 ___
2 ÷ 3 4 =
T.
1
2
___
7 ___
÷
2
3
5 =
D.
5
1
___
5 ___
÷
3
6
3 =
E.
1
1
___
6 ___
÷
2
4
2 =
Y.
1
4
___
11 ___
÷
1
4
5 =
I.
1
1
___
6 ___
÷
1
3
3 =
J.
3
1
___
5 ___
÷
2
8
2 =
C.
1
1
___
5 ___
2 ÷ 2 4 =
A.
2
1
___
3 ___
3 ÷ 1 3 =
R.
2
1
___
6 ___
3 ÷ 5 3 =
58
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
53
Converting Fractions to Decimals
Name
Date
When should you bring
your dad to school?
Rename each fraction as a decimal.
Solve the riddle using your answers.
2
4
3
717
1000
=
3
10
=
833
1000
=
70
100
=
95
100
=
7
100
=
1
Q
P
F
R
7
Y
0.833
7.2
=
47
100
=
1
1000
=
5
100
=
U
T
Z
I
31
1 1000 =
A
Solve the Riddle!
3
100
2
10
D
=
O
Write the letter that goes with each answer.
4.7
0.717
3.95
1.03
0.05
59
2.3
7.2
2.3
0.001
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
54
Converting Decimals to Percents
Name
Date
Peanuts
This African-American agricultural researcher
discovered over 300 uses for the peanut. What
was his name?
Answer:
_____ _____ _____ _____ _____ _____
12.5% 375% 50% 3% 12.5% 375%
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____
110% 75% 10% 37.5% 20% 8% 12.5%245% 50% 8%
______________________________
60% 75% 3% 120% 375% 3%
To answer the question, convert each decimal to its equivalent percent.
Write the letter of the each problem in the space above its answer.
Hint: Some letters will be used more than once. Some will not be used.
S. 0.10 = _______
B. 1.0 = _______
N. 0.08 = _______
L. 0.92 = _______
I. 0.2 = _______
H. 0.375 = _______
O. 0.500 = _______
C. 0.6 = _______
M. 0.64 = _______
R. 0.030 = _______
V. 1.2 = _______
W. 1.1 = _______
A. 0.75 = _______
G. 0.125 = _______
T. 2.45 = _______
E. 3.75 = _______
60
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
55
Converting Fractions to Percents
Name
Date
What did the doctor tell
the little monster?
Name the fraction that is shaded.
Then rename the fraction as a percent.
Solve the riddle using your answers.
Solve the Riddle!
50%
1
10
30%
Fraction
Percent
T
Y
S
U
E
R
O
A
N
M
G
D
Write the letter that goes with each answer.
9
10
70%
30%
61
7
10
–
3
10
1
10
60%
7
10
!
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
56
Mixed Practice
Name
Date
We’re All Equal!
Fractions, decimals, and percents all express
parts of a whole. Solve three problems in a row
to get Tic-Tac-Math!
What is the decimal
1
___
equivalent of
4
?
5
___
8
What is the percent equivalent
equivalent of 0.6
of
(in simplest form)?
Which is greatest? Circle.
40%
What is the fraction
0.6
Which is least? Circle.
1
___
5
15%
7
___
10
?
Which is greatest? Circle.
0.1
8
___
35%
25
2
___
5
0.39
Order the set from least to
Order the set from greatest
Order the set from least to
greatest:
to least:
greatest:
7
___
0.38
24%
0.74
47.5%
0.48
0.55
1
___
45%
1
___
9.8%
3
___
0.52
1
___
3
___
0.6
1
___
0.35
0.05
25%
20
8
2
10
62
5
10
3
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
57
Calculating Percents
Name
Date
Quilt Math
This quilt is made of 25 square sections sewn together. The quilt represents one
whole. Use the quilt to answer the questions.
What percent is represented by
1. the dotted sections? ___________
2. the starred sections? ___________
3. t he dotted, starred, and circle sections? ___________
4. all the sections? ___________
5. all but the sections with crossed lines? ___________
6. 1 quilt plus all the dotted and circle sections? ___________
63
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
58
Calculating Percents
Name
Date
Elementary, My Dear Watson
“Elementary, my dear Watson” was the way the famous
fictional detective Sherlock Holmes would begin his
explanation of how a crime was committed. Who was
the author of the Sherlock Holmes mysteries?
Answer:
_____ _____ _____ _____ _____ _____
195 381.9 184 16.8 46 381.9
_____ _____ _____ _____ _____
195 57.6
83.6 20.16 57.6
_________________________
84.24 20.16 111 70.68 25.9
To answer the question, find the percent of each number. Write the letter of each
problem in the space above its answer. Hint: Some letters will be used more than
once. Some will not be used.
H. 20% of 84 = _____________
N. 12% of 480 = _____________
L. 76% of 93 = _____________
K. 36% of 140 = _____________
E. 35% of 74 = _____________
Y. 50% of 222 = _____________
S. 75% of 150 = _____________
C. 110% of 76 = _____________
U. 46% of 100 = _____________
R. 95% of 402 = _____________
T. 92% of 200 = _____________
A. 125% of 156 = _____________
I. 25% of 112 = _____________
D. 27% of 312 = _____________
O. 6% of 336 = _____________
64
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
59
Calculating Percents/
Word Problems
Name
Date
Percent Power!
Solve each word problem.
Show your work in the tank.
1.Elizabeth collected
baseball caps. She had
360 of them altogether.
18 of them had no
writing on them.
What percent of her
caps had no writing
on them?
THINK TANK
___________________
2.Antoine read 243 of the
675 pages of Invasion
of the Smelly Jelly Rolls
before his mom told
him to turn off the
lights and go to sleep.
What percent of the
book did he read?
THINK TANK
___________________
65
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
60
Calculating Percents/
Word Problems
Name
Date
The Class Picnic
L
uis volunteered to work with his class
Picnic Committee. Solve the following
percent problems related to the picnic.
1.Based on the attendance at past picnics, Luis
expects 95% of the students in his class to attend
this year’s picnic. If 120 students are in the class,
how many students are likely to attend the picnic?
________________
2.When polled to find out if they preferred hamburgers
or hot dogs, all 120 students in the class responded.
Sixty-five percent said they preferred hamburgers,
while the rest preferred hot dogs. The Picnic
Committee decided to order 2 hamburgers or 2 hot
dogs for each student, based on the students’
choices. How many hamburgers were ordered? ________________
How many hot dogs w
ere ordered?
________________
3.When asked if they preferred fruit juice or spring
water, all 120 students answered. Fifty-five percent
preferred juice, and 45% preferred spring water.
The committee decided to order the equivalent of
3 cups of juice for each student who preferred juice.
How many gallons of juice should the committee
order? (16 cups equal 1 gallon. Round up
when necessary.)
________________
The committee decided to order 2 bottles of spring
water for each student who preferred water.
How many bottles should they order?
66
________________
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
61
Calculating Percents/
Word Problems
Name
Date
Which paddle should I
use in my kayak?
Solve the problems.
Solve the riddle using your answers.
$10
20% off
$10
40% off
$40
20% off
$20
30% off
$15
50% off
$6
10% off
Solve the Riddle!
$14.00
$6.00
$7.50
The $10 headphones are 20% off.
Now how much is each pair of
headphones?
R
The $10 picture frames are 40% off.
Now how much is each frame?
I
The $40 bike helmets are 20% off.
Now how much is each helmet?
H
The $20 DVDs are 30% off.
Now how much is each DVD?
E
The $15 mugs are 50% off.
Now how much is each mug?
T
The $6 paint sets are 10% off.
Now how much is each paint set?
O
Write the letter that goes with each answer.
$32.00
$14.00
67
$8.00
$5.40
$8.00
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
62
Identifying Decimal Patterns
Name
Date
Going Up?
Although primitive elevators operated by human or
animal power were in use over 2,000 years ago, the modern
elevator can trace its roots to the invention of the elevator
brake in 1853. Who was the inventor of the elevator brake?
Answer:
_____ _____ _____ _____ _____ _____
12.5 2.250.1251.75 0.5 0.3
_____ _____ _____ _____ _____ __________ _____ _____ _____
0.025
21.50.6
12.5
1.750.16
2.4
0.125
1.75
To answer the question, complete each pattern by writing the
missing decimal. Then write the letter of the missing decimal in
the space provided for that decimal above. Hint: Some letters will
be used more than once. One letter will not be used.
1
0, 0.2, 0.4,
2
0.9, 1.4, 1.9,
3
4.0, 3.25, 2.5,
4
1.5, 1.75, 2,
5
0, 0.25, 0.75,
6
5.0, 4.5, 3.5,
7
0.1, 0.5, 2.5,
, 2.9
8
1.6, 0.4, 0.1,
,1
9
0.125, 0.25, 0.5,
, 2.5
10
0.125, 0.25, 0.375,
, 2.5
11
0.01, 0.04, 0.09,
,0
12
1.0, 0.5, 0.25,
, 0.8
V
T
S
L
A
R
68
, 62.5
E
, 0.00625
G
,2
P
H
O
I
, 0.0625
, 0.25
, 0.0625
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
63
Identifying Decimal Patterns
Name
Date
Three Cheers for Decimal Patterns!
Hip-hip-hooray! These girls are rooting for
you to solve three pattern problems in a row
and get Tic-Tac-Math!
Find the next three numbers
Find the next three numbers
Find the next three numbers in
in the pattern below. Then
in the pattern below. Then
the pattern below. Then explain
explain the pattern in words.
explain the pattern in words.
the pattern in words.
5.1, 5.2, 5.3
10.75, 10.65, 10.55
9.1, 8.8, 8.5, 8.2
____, ____, ____
____, ____, ____
____, ____, ____
Find the next three numbers
Find the next three numbers
Find the next three numbers
in the pattern below. Then
in the pattern below. Then
in the pattern below. Then
explain the pattern in words.
explain the pattern in words.
explain the pattern in words.
0.2, 7.9, 15.6, 23.3
0.2, 0.22, 0.24, 0.26
0.07, 0.08, 0.09
____, ____, ____
____, ____, ____
____, ____, ____
Find the next three numbers
Find the next three numbers
Find the next three numbers in
in the pattern below. Then
in the pattern below. Then
the pattern below. Then explain
explain the pattern in words.
explain the pattern in words.
the pattern in words.
0.5, 0.05, 0.005
0.2, 0.6, 1.8
8.25, 7.65, 7.05
____, ____, ____
____, ____, ____
____, ____, ____
69
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
64
Identifying Fraction Patterns
Name
Date
A Very Short River
At just 201 feet in length, the shortest river
in the world is located in this western state.
What is the name of the river and in what
state is it located?
Answer:
_____ _____ _____
1
___
11 16
___
20 River,
4
___
8 _____ _____ _____ _____ _____ _____ _____
2
___
5 16
___
20 1
___
81 1
___
16 3
1
___
81 3
To answer the question, complete each pattern by writing
the missing fraction. Then write the letter of the missing
fraction in the space above the fraction. Hint: Some letters
will be used more than once. Some will not be used.
1
1 ___
2 ___
3
___
2 , 4 , 6 ,
2
1
1
___
___
2 , 1, 1 2 ,
3
1 ___
1 ___
1
___
5 , 7 , 9 ,
4
1 ___
3 ___
5
___
2 , 4 , 6 ,
5
4, 3 3 , 3 3 ,
2
___
5
___
E
6
3
1
3
___
___
___
4 ,2 4 ,1 4 ,
,2 2
7
1 ___
1 ___
1
___
3 , 9 , 27 ,
, 13
1
___
8
1 ___
1 ___
3
___
10 , 5 , 10 ,
9
___
9
1 ___
1 ___
1
___
1 , 4 , 9 ,
10
1 ___
4 ___
9
___
5 , 10 , 15 ,
, 10
1
___
I
R
B
1
___
, 10
2
___
A
,2 3 ,
70
3
___
D
,2 4
1
___
N
, 243
1
___
M
, 2
1
___
T
O
, 25
,1
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
65
Identifying Fraction Patterns
Name
Date
I Detect a Pattern
Look for clues to help you uncover the next numbers
in each pattern. Solve three pattern problems in a
row to get Tic-Tac-Math!
Find the next three numbers
Find the next three numbers
Find the next three numbers
in the pattern below. Then
in the pattern below. Then
in the pattern below. Then
explain the pattern in words.
explain the pattern in words.
explain the pattern in words.
1
___
8
,
3
___
8
,
5
___
8
,
7
___
4
___
8
3
____, ____, ____
,
7
___
3
,
1
___
10
___
3
2
____, ____, ____
,
1
___
4
1
___
,
8
,
1
___
16
,
1
___
32
____, ____, ____
Find the next three numbers
Find the next three numbers
Find the next three numbers
in the pattern below. Then
in the pattern below. Then
in the pattern below. Then
explain the pattern in words.
explain the pattern in words.
explain the pattern in words.
3
___
7
,
3
___
14
,
3
___
28
,
3
___
1
1
___
3
___
2 ___
4 , 2, 1 4
56
____, ____, ____
5
____, ____, ____
,
4
___
5
,
2
___
5
, 1,
3
___
5
1
___
,15
____, ____, ____
Find the next three numbers
Find the next three numbers
Find the next three numbers
in the pattern below. Then
in the pattern below. Then
in the pattern below. Then
explain the pattern in words.
explain the pattern in words.
explain the pattern in words.
3
1
2
1
___
___
___
2 ___
5 , 2 5 , 2 5 , 2, 2 5
3
5
1
3
___
___
___
3 ___
8 , 3 8 , 3 2 , 3 4 ,
5
____, ____, ____
7
1
___
3
,
2
___
3
1
___
2
___
1
___
,13,23,53
3
___
___
3 ___
8 , 3 8 , 3 4 , 4
____, ____, ____
____, ____, ____
71
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66
Factors, Primes, and
Greatest Common Factor
Name
Date
The Factor Factory
T
here’s a lot happening in the Factor
Factory! It’s time to get to work solving
these problems!
1.
List all of the factors of 8 from least to greatest.
____________________
2.List all of the factors of 14 from least to greatest.
____________________
3.List all of the factors of 30 from least to greatest.
____________________
4.Circle the prime numbers. 7
5.Circle the prime numbers. 39
9
15
53
21
47
35
29
37
33
41
6.List all of the prime numbers between 70 and 99.
____________________
7.What is the greatest common factor of 8 and 12?
____________________
8.What is the greatest common factor of 27 and 9?
____________________
9.What is the greatest common factor of 45 and 60?
____________________
10.What is the greatest common factor of 39, 78, and 104? ____________________
72
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67
Multiples and
Least Common Multiple
Name
Date
Mad About Multiples!
Do you find multiples mesmerizing? Solve three
problems in a row to get Tic-Tac-Math!
Which of the following are
Which of the following are
Which of the following are
multiples of 5?
multiples of 6?
multiples of 3?
20
52
23
35
30
18
30
25
16
29
24
78
31
52
102
What is the least common
What is the least common
What is the least common
multiple of 7 and 4?
multiple of 24 and 12?
multiple of 15 and 21?
Two dogs are sitting next to
Barney and Julia are both
Glenda and Penny are doing
each other. Starting now, one
very tired. Starting now,
a sack race. Glenda jumps
dog will bark every 3 seconds
Barney will yawn every 8
forward 18 inches each time
and the other dog will bark
seconds and Julia will yawn
she jumps. Each of Penny’s
every 5 seconds. When is the
every 4 seconds. When is the
hops is 15 inches. How far from
next time both dogs will bark
next time both of them will
the starting line will it be when
at the same time?
yawn at the same time?
Glenda and Penny have both
traveled the same distance?
73
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
68
Exponents
Name
Date
The Power of Exponents
Complete each set of problems below.
1. Write each power of 10 in standard form.
103 = ________________________________100 = ________________________________
107 = ________________________________108 = ________________________________
10 4 = ________________________________101 = ________________________________
102 = ________________________________106 = ________________________________
2. Write each as a power of 10.
100 = _______________________________
1 = __________________________________
10,000 = ____________________________
1,000,000 = _________________________
1,000 = _____________________________
10,000,000 = ________________________
3. Write each in standard form.
(9 × 104) + (6 × 102) ___________________________________________________________
(3 × 105) + (2 × 104) + (7 × 102) ________________________________________________
4. Write each number in expanded form using exponents.
1,005 _____________________________________________
216 _______________________________________________
42,906 ____________________________________________
74
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
69
Exponents
Name
Date
Underwater Exponents
The largest freshwater fish in the world is
found in Asia. It can grow to be 10 feet long
and weigh as much as 1,600 pounds. What is
the name of this fish?
Answer:
_____ _____ _____ _____ _____ _____ _____
32 1610081343144343
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____
64 0 243243125343 36 100144 16
To answer the question, find the value of each expression. Write
the letter of the problem in the space above its answer. Hint: Some
letters will be used more than once. Some will not be used.
H. 24 = _____________
P. 43 = _____________
N. 92 = _____________
I. 102 = _____________
E. 73 = _____________
F. 62 = _____________
G. 33 = _____________
C. 25 = _____________
L. 53 = _____________
S. 122 = _____________
M. 28 = _____________
A. 05 = _____________
Y. 23 = _____________
O. 36 = _____________
D. 35 = _____________
75
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
70
Identifying Properties
Name
Date
Property Hunt
Name the property shown. Write commutative,
associative, identity, or distributive.
1. 4 + 7 = 7 + 4 ______________________________________
2. (3 + 8) + 6 = 3 + (8 + 6)
______________________________________
3. 8 × 1 = 8
______________________________________
4. –17 + 0 = –17
______________________________________
5. 3 × (8 + 7) = (3 × 8) + (3 × 7)
______________________________________
6. 315 × 1 = 315
______________________________________
7. 1 + (2 + 9) = 2 + (1 + 9)
______________________________________
8. –24 + 0 = –24
______________________________________
9. 52 + 70 = 70 + 52
______________________________________
10. 2 × (9 + 4) = (2 × 9) + (2 × 4)
______________________________________ 76
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71
Order of Operations
Name
Date
Time for Fun
The oldest amusement park in the
United States dates back to 1846 in
Bristol, Connecticut. What is the
name of this amusement park?
Answer:
_____ _____ _____ _____
20351511
_____ _____ _____ _____ _____ _____ _____ _____ _____
040216401033011
To answer the question, solve the following equations. Write the
letter of each equation in the space above its answer. Hint: Some
letters will be used more than once. Some will not be used.
E.3(4 + 1) – 4 = ____________
A.5(6 – 3) + 2(2 + 8) ÷ (6 – 5) = ____________
M.6(3 + 4) ÷ 2 = ____________
O.3(2 + 6) + 4(7 – 3) = ____________
N.3 + 6(2 + 3) = ____________
R.(14 ÷ 2) – (6 – 2) = ____________
K.2(12 ÷ 3) + 7 = ____________
U.4(2 + 3) ÷ (4 – 2) = ____________
C.2(12 ÷ 3) – 8 = ____________
S.8(4 + 2) ÷ (2 × 6) = ____________
L.9 – (3 – 2) + (3 × 4) = ____________
P.2 + 7 – (8 ÷ 4) – 1 = ____________
77
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72
Order of Operations
C
Name
Date
What’s Your Order?
omplete each equation by filling in the missing number.
Remember to use the order of operations.
1. (2 + ______) x (3 – 1) = 16
2. ______ (5 – 2) = 15
3.(32 ÷ 4) – (2 x ______) = 0
4.______ (6 + 2) ÷ (6 – 3) = 8
5. 9 + (______ x 2) – 6 = 17
6.3(25 ÷ 5) + (8 ÷ ______) = 19
7. ______ – (4 x 2) x (6 – 2) = 6
8.32 ÷ ______ + 3(7 + 2) = 31
9. (27 – 11) ÷ 2(______ – 10) = 4
10. 4( ______ – 5) x 2(5 – 4) = 48
11. 4(3 – 1) + 5(______ – 7) = 38
12. 3(14 – 6) + 8(6 – ______) ÷ (16 ÷ 2) = 8
78
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73
Writing Expressions
Name
Date
Express Yourself
Write each expression as an algebraic expression.
Use n as the variable.
1. a number increased by 7
________________________________________
2. a number decreased by 2.8 ________________________________________
3. eight more than a number squared ________________________________________
4. the product of a number and 12 ________________________________________
5. 3 more than twice a number ________________________________________
6. three times a number decreased by 42 ________________________________________
7. 5 less than twice a number ________________________________________
8. the sum of 8.5 and 2.5 times a number ________________________________________
9. a squared number multiplied by 45 ________________________________________
10. 10 more than a number ________________________________________
11. a number decreased by 6 ________________________________________
12. a number divided by 4 ________________________________________
79
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74
Writing Expressions/
Word Problems
Name
Date
Onion Cooking Contest
Fill in words and numbers as directed.
Then solve the problem.
C
hef
just held her
(first and last name of a girl)
First Annual Onion Cooking Contest. She had
onions, and there were three contestants:
(first and last name of a boy or girl)
, and
(triple-digit number)
(first and last name of a boy or girl)
(name of a famous person)
contestant had to create a delicious and
,
. Each
(adjective)
onion dish using onions, of course, along with other ingredients like
and
(plural noun)
used
for
(single-digit number greater than 1)
(type of substance)
. Each contestant
onions per hour. The contestants cooked
hours. The chef sampled each dish and
(single-digit number greater than 1)
finally awarded the prize to the contestant who prepared Baked Onions With
Sauce. The prize was an all-expenses-paid trip
(noun)
to
(name of a place)
ve
Sol s!
Thi
.
Write an expression that describes how to find the
number of onions left.
80
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Writing Expressions/
Word Problems
75
Name
Date
A Very Cold Day
The lowest temperature ever recorded
on Earth occurred at a Russian station
in Antarctica. On July 21, 1983, the
temperature fell to -128.6°F. What was the
name of this Russian station?
Answer:
_____ _____ _____ _____ _____ _____
123456
Answer Box
To answer the question, write an algebraic
expression for each word problem. Find
your answers in the Answer Box, then
write the letter of each answer in the space
above its problem number. Hint: Some
letters will not be used.
1
J. 150 + n
O.50n
K. 2n + 3
V. 150 ÷ n
O. n + 25
U. n ÷ 150
T. 150 – n
H.2n – 3
R.25n
S.3n
4
Keri divided her collection of 150
stamps equally into n categories. Write
an expression to show the number of
stamps in each category.
Juan and his two sisters are saving
money for a new stereo, which costs $150.
If n stands for the total amount they have
saved so far, write an expression to show
how much more money they need.
______________________________________
______________________________________
2
Robb earned $25 more than his
brother Mike doing chores for the
neighbors last week. Mike earned n
dollars. Write an expression to show
Robb’s earnings.
The speed limit on the highway is 50
miles per hour. Write an expression to
show the distance traveled at the speed
limit in n hours.
______________________________________
______________________________________
5
3
6
Carl has three times as many
baseball cards as his cousin Nick. Nick
has n cards. Write an expression to show
the number of cards in Carl’s collection.
Let n be any number. Write an
expression that is three more than twice
that number.
______________________________________
______________________________________
81
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76
Simplifying Expressions
Name
Date
It Is Simple!
Simplify each expression.
1.7n – 2n
___________________________
2. n + 2n
___________________________
3.5n – 2n + 4n
___________________________
4.5n + 2n – 3s
___________________________
5.6y + (3y + 2)
___________________________
6.3(2t + 2t)
___________________________
7.10w – 8w
___________________________
8.3p + 11p – 4p
___________________________
9.7b + (5b – 7)
___________________________
10. 10 (4x + 12x)___________________________
82
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77
Evaluating Expressions
Name
Date
Watch Your Step
With a drop of 3,212 feet, this waterfall is the
highest in the world. What is the name of this
waterfall, and in which country is it located?
To answer the question, evaluate
each expression for n = 3, t = 5,
and y = 7. Then write the letter of
the expression in the space above
its answer. The first one has been
done for you. Hint: Some letters
will be used more than once. Some
will not be used.
18
____ ____ ____ ____ ________ ____ ____ ____ ____
41203026 8
42 4 8 8 56
U
____ ____ ____ ____ ____ ____ ____ ____ ____
132612026121826 8 4
U.6 x n ____________
R. t + y + 4 ____________
B.(n + t) ÷ 4 ____________
A. 14 – (n + y) ____________
L. 24 ÷ n ____________
T. t x 4 – n ____________
W. (18 ÷ n) ÷ 2 ____________
F.2 x (n x y) ____________
N.10 x (y + t) ____________
S.8 x y ____________
H. 75 ÷ (n x t) ____________
V. (70 ÷ y) + n ____________
E.(t x n) + (y + 4) ____________
G. 45 – (n x t) ____________
J.(y + 8) – (t – 4) ____________
Z. 24 ÷ (y – t) ____________
83
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78
Evaluating Expressions
Name
Date
X Marks the Spot!
You’ve found it—the secret to evaluating
variable expressions. Solve three problems in
a row to get Tic-Tac-Math!
x + 7,
3x,
x ÷ 5,
where x = 8
where x = 4
where x = 30
2x – 3,
1 + 4x,
13x – 28,
where x = 7
where x = 2
where x = 5
9x + 6 – 5x,
where x = –1
A hot dog costs $1.27 more
A super sundae costs $.88
than twice the price of a
less than 3 times the price
soda. Write an expression
of a single cone. Write an
that shows the price of a hot
expression that shows the
dog in relation to the price
price of a super sundae in
of a soda. Then evaluate
relation to the price of a single
where a soda costs $.99.
cone. Then evaluate where a
single cone costs $1.39.
84
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79
Evaluating Expressions
Name
Date
Expressions Everywhere
Complete each set of problems below.
1. Evaluate each expression for n = 4.
3 + n ______________________5.5n ______________________
7 − n ______________________2n + 6 ______________________
n
___
4
______________________
n2 − 5 ______________________
n2 + n + 7.5 ______________________3n – 8 ______________________
15 – 2.5n ______________________
n(3 x 0) ______________________
2. Evaluate each expression for a = 0.75 and b = 2.06.
a + b + 8 ______________________2(a + b) ______________________
a + b – 2.2 ______________________3a + 2b ______________________
a + 4.55 – b ______________________(2a + b) ÷ 4 ______________________
85
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80
Writing Equations
Name
Date
A Famous Author
C. S. Lewis is well known as the author of the
series Chronicles of Narnia. Less well known is his
full name. What do the initials C. S. stand for?
Answer:
________________________________________
5n – 6 = 9
n÷8=9
n(2 + 1) = 9
n+4=9
3(n + 1) = 9
________________________________________________________
(3n + 3) ÷ 3
=9
n–4=9
3n – 3 = 9
n÷2+5=9
n÷8=9
3(n + 1) = 9
(3n + 3) ÷ 3
=9
To answer the question, write an algebraic equation for each sentence.
Write the letter of each problem in the space above its equation.
Hint: Some letters will be used more than once. Some will not be used.
V. 4 more than n is 9. ______________________________________________
T. 4 less than n is 9. ______________________________________________
L. n divided by 8 is 9. ______________________________________________
R. 3 times n is 9. ______________________________________________
P. 5 more than n divided by 2 is 9. ____________________________________________
C. 6 less than 5 times n is 9. ______________________________________________
N. n times 3 divided by 4 is 9. ______________________________________________
A. 3 times n minus 3 is 9. ______________________________________________
H. the sum of n and 4 divided by 2 is 9. ________________________________________
E. 3 times the sum of n and 1 is 9. ____________________________________________
S. the sum of 3 times n plus 3 divided by 3 is 9. ______________________________
I. n times the sum of 2 and 1 is 9. ___________________________________________
86
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81
Writing Equations
Name
Date
Balancing Act
Write an equation for each statement.
1. A number w increased by 2.5 is equal to 3.8. ____________________________
2. The difference between a number y and 82 is 47. ____________________________
3. A number n divided by 0.5 is equal to 2. ____________________________
3
7
___
4. The product of a number k and ___
8 is 1 8 . ____________________________
5. The quotient of a number z and 175 is 25. ____________________________
6. The sum of 1,231 and a number b is equal to 2,342. ____________________________
7. A number d multiplied by 64 is 960. ____________________________
8. A number 4,050 divided by a number x equals 81. ____________________________
9. Fifteen is equal to a number m divided by 75. ____________________________
10. A number v increased 160 times is equal to 1,760. ____________________________
87
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
82
Writing Equations/
Word Problems
Name
Date
Give Y a Try!
Write an algebraic equation to represent
and solve each problem. Solve three
problems in a row to get Tic-Tac-Math!
A rectangle’s length is y cm.
A rectangle’s length is y
Harold’s dad is 3 times his age.
Its width is 5 cm. Its perimeter
cm. Its width is 2 cm. The
The sum of Harold’s age and his
is 34 cm. Find the length of
perimeter is 10 cm. Find the
father’s age is 60 years. How old
the rectangle.
rectangle’s width.
is Harold? How old is his dad?
Oriana is 5 years older than
Ella is twice Bella’s age,
Harlan’s dad is 3 years more
her brother Francisco. The sum
and Stella is three times
than 4 times Harlan’s age. The
of their ages is 27. How old is
Bella’s age. The difference
difference in their ages is 30
each child?
between Stella’s and Bella’s
years. How old is Harlan? How
ages is 8 years. How old is
old is his dad?
each girl?
Sally has twice as many hair
Janet bought 3 dozen
Ty, Malcolm, and Fred were
ribbons as Natasha. Bethany
donuts from Delectable
playing basketball. Malcolm
has 3 less than Sally. The sum
Donuts. She bought 3 times
made 2 more baskets than Ty,
of all three girls’ ribbons is 32.
as many honey-dipped as
and Fred made 4 more than
How many hair ribbons does
plain. She bought 6 fewer
twice the number that Ty made.
each girl have?
chocolate-frosted than
Together, the boys made 42
honey-dipped. How many of
baskets. How many baskets did
each did she buy?
each boy make?
88
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
83
Writing Equations/
Word Problems
Name
Date
A Sticky Situation
In 1955, George D. Mestral invented a product that most
Americans since then have used at one time or another.
What is this product?
Answer:
________________________________________________
3
x 12 = n
12 + 3 = n
16 –12 = n
12 ÷ 3 = n
36 ÷ 3 = n
12 – 4 = n
To answer the question, write an equation for each
problem. Then write the letter of the problem in the
space above its equation. Let n stand for the missing
numbers.
E.Tyrell can run a mile in 12 minutes.
It takes his friend Ryan 3 minutes
longer to run a mile. How long does it
take Ryan to run a mile?
L.Joe had to complete 12 algebra
problems for homework. He copied his
assignment incorrectly and completed
16 problems. How many extra
problems did he do?
____________________________________
____________________________________
C.Danielle is selling wrapping paper to
raise money for her class. The class
will reach its goal if everyone sells 12
rolls. Danielle plans to reach this goal
if she sells 3 rolls of paper per day.
How many days will it take her to sell
the wrapping paper?
O.Mike lost some of the pieces of his
checkers set. He now has only 12
pieces, including 4 four red ones. How
many black pieces does he have?
____________________________________
____________________________________
R.Marie and her two cousins are
planning refreshments for a family
gathering. They need 3 dozen
cupcakes. How many cupcakes should
each girl bake if they are to bake the
same amount?
____________________________________
V.Marina is helping her teacher by
cutting out circles for a class activity.
There are three groups of students
and each group needs a dozen circles.
How many circles does Marina need
to make?
____________________________________
89
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
84
Solving Equations
Name
Date
Equation Expert
Solve the equations.
1.n + 119 = 254
7.n ÷ 100 = 0.021
n = ____________________
n = ____________________
2.m + 11 + 17 = 44
8.n ÷ 10 = 0.35
m = ____________________
3. 23 + 76 = b
b = ____________________
n = ____________________
9.n ÷ 1,000 = 0.024
n = ____________________
4. 0 + y = 13
10.n ÷ 1,000 = 2.004
y = ____________________
n = ____________________
5. 56 − t = 42
11.n ÷ 10 = 0.09
t = ____________________
n = ____________________
6. 316 + n = 401 + 226
12.n ÷ 100 = 0.012
n = ____________________
90
n = ____________________
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
85
Solving Equations
Name
Date
Uncle Sam
Most people are familiar with the image of “Uncle
Sam.” With his white hair and top hat, he is a
symbol of the United States. The artist who drew the
picture used himself as a model. Who was this artist?
Answer:
____________________
168 6 1212584
________________________________________
1233243714433121253147
L
____________________
526
144
144
To answer the question, solve the equations. Write the letter of the problem in the
space above its answer. The first one has been done for you. Hint: Some letters will
be used more than once. Some will not be used.
L.7 2 n = 14
M. n 2 6 = 72
Y. n 3 7 = 21
n = ________ .
n = ________ .
n = ________ .
T. n 2 9 = 63
N. n 3 3 = 81
A.64 2 n = 384
n = ________ .
n = ________ .
n = ________ .
R.14 2 n = 42
H. n 3 5 = 73
O. n 2 11 = 363
n = ________ .
n = ________ .
n = ________ .
U. n 3 8 = 9
F.84 2 n = 420
G. n 3 12 = 12
n = ________ .
n = ________ .
n = ________ .
E. n 3 25 = 5
S. n 3 7 = 12
J. n 3 2 = 84
n = ________ .
n = ________ .
n = ________ .
2
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86
Writing and Solving Inequalities
Name
Date
What’s the Inequality?
Complete each set of problems.
1. What inequality is shown? Use n as the variable.
– 5 – 4
– 3 – 2 – 1 0 1 2 3 4 5
__________________
– 5 – 4
– 3 – 2 – 1 0 1 2 3 4 5
__________________
– 5 – 4
– 3 – 2 – 1 0 1 2 3 4 5
__________________
– 5 – 4
– 3 – 2 – 1 0 1 2 3 4 5
__________________
2. Circle each number that will make the inequality true.
3 + n > 14
4
12
10
3n > 26
13
10
8
12
n ÷ 4 > 6
28
24
20
7
3
9
2n ÷ 4 > 3
n – 6 < 3
9
8
10
6
2
8
4(n + 5) < 33
32
92
4
5
3
6
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
87
Writing Rules for T-Tables
Name
Date
Let’s Go Biking
In 1871, an Englishman built what many
historians consider to be the first true bicycle.
What was his name?
Answer:
____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ ____
4 3 2 9 1 1637895
To answer the question, write the rule above each
problem. Find each rule in the Rule Box, then write the
letter of each rule in the space above its problem number.
Hint: Some letters will be used more than once.
1
2
_______________
_______________
x
y
x
1
2
3
3
4
5
–
_______________
x
1
0
1
–
3
4
1
0
1
5
x
2
0
2
1
2
3
_______________
x
y
3
4
9
12
5
15
6
1
0
1
–
Rule Box
x
y
T. y = x – 4
3
2
–
1
4
2
0
2
1
0
–
–
8
x
y
2
–
4
–
6
1
2
3
1
3
5
9
x
y
5
4
–
3
1
2
3
5
3
7
–
93
Y. y = –2x
1
R. y = ___
2 x
L. y = 2x – 1
E. y = 2x + 1
A. y = 3x
J. y = x – 2
_______________
y
–
S. y = x + 2
M. y = 2x
_______________
y
–
_______________
x
_______________
y
_______________
y
–
7
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
88
Identifying Ratios
Name
Date
Ready, Set, Ratio!
Complete each set of problems.
1. Write each ratio in simplest form.
4 to 12
8 : 20
21
63
12 to 18
50 : 30
_________
_________
_________
_________
_________
24 to 12
14 : 3.5
12
84
1.2 to 2.0
5 : 2.5
_________
_________
_________
_________
_________
2. Circle each ratio equivalent to the first ratio.
3:2
30 to 2
9 to 6
15
9
10
7
20 : 14
25 to 14
1 to 0.7
1
7
45 to 25
50 : 30
9 to 5
5 to 9
40
20
36 : 24
3. Which ratios are equivalent? Write = or = .
7
5
____ 15 : 36
12
10 : 4 ____ 10
2
36
____ 3 : 4
48
1.5 : 0.5 ____ 1
8 ____ 16 to 14
5 ____ 10 to 4
94
25
3
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
89
Solving Proportions
Name
Date
Founder of the Girl Scouts
The Girl Scouts was founded in
Savannah, Georgia. Who was the
founder of the Girl Scouts?
Answer:
____ ____ ____ ____ ____ ____ ____ ____
4128 7 536365
____ ____ ____ ____ ____ ____
2124 9 3 2418
____ ____ ____
8 2415
To answer the question, solve each proportion. Write
the letter of the problem in the space above its answer.
Hint: Some letters will be used more than once. Some
will not be used.
18
R. ___ = ___
12
24
15
5
M. ___ = ___
18
36
J. ___ = ___
45
5
5
10
N. ___ = ___
9
1
E. ___ = ___
3
15
8
C. ___ = ___
9
54
4
2
I. ___ = ___
14
6
2
D. ___ = ___
9
8
24
G. ___ = ___
7
3
U. ___ = ___
4
16
5
W. ___ = ___
8
24
9
27
T. ___ = ___
12
12
24
L. ___ = ___
4
12
4
S. ___ = ___
30
3
O. ___ = ___
11
88
To find the year the Girl Scouts was founded, circle the correct proportion below.
The correct date follows it.
6
10
___ = ___ 1915
9
18
8
20
___
= ___ 1919
12
36
15
9
___
= ___ 1912
40
24
95
10
3
___
= ___ 1921
15
5
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
90
Calculating Rate
Name
Date
What’s the Rate?
Find the unit rate or unit price.
1.28 miles in 4 hours _____________________
2. 7 DVDs for $42 _____________________
3. 96 feet in 12 seconds _____________________
4. 6 cards for $21 _____________________
5. 24 pages read in 16 minutes _____________________
6. 1 dozen cans for $7.20 _____________________
Think Tank
■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■
Henry rode his bike 5 miles
in 25 minutes. What was his
average speed in miles
per hour?
_____________________
At that rate, how far does
Henry ride in half an hour?
THINK TANK
_____________________
Show your work
in the tank.
96
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
91
Graphing a Coordinate Plane
Name
Date
Canine Coordinates
T
he map of Canine County is graphed on a coordinate
plane. Use the information on the grid to answer
the questions.
y
II
I
8
7
Terrier
6
5
Shepherd
Beagle
4
3
2
Dalmation
Hound
1
0
-8
-7-6-5-4-3-2-112345678
-1
-2
Collie
-3
Golden Doodle
x
-4
-5
-6
-7
III
Boxer
-8
IV
1. In which quadrant will you find each town?
Beagle __________
Terrier __________
Golden Doodle __________
2. What are the coordinates for each town?
Shepherd __________
Collie __________
Hound __________
3. Which town is located at (4, –7)? ____________________________________
In which quadrant is that town? __________
97
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
92
Graphing a Coordinate Plane
Name
Date
Going Solo
In 1933, a U.S. pilot made the first
solo round-the-world flight. What
was this pilot’s name?
Answer:
____ ____ ____ ____ ____
____ ____ ____ ____
12345
6789
To answer the question, find each ordered pair on the
diagram. Write the letter of each point in the space above
its problem number. Hint: Some letters will not be used.
S
I
W
M
E
L
O
P
Y
A
T
98
1
(2, 3)
2
(–1, 4)
3
(0, 0)
4
(–4, 1)
5
(–2, –3)
6
(–3, –2)
7
(5, 0)
8
(0, 5)
9
(3, –4)
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
93
Graphing a Coordinate Plane
Name
Date
Ship Math
The map of the sea floor is graphed on a coordinate
grid. Each letter on the grid marks the location of
a sunken ship. Each small square on the grid
has an area of 1 mi2.
N
9
8
7
6
y
B
5
4
3
E
W
2
D
1
x
0
-9-8-7 -6-5 -4-3-2 -1
-1
F
-2
1 2 3 4 5 67 8 9
E
A
-3
-4
C
-5
-6
-7
-8
-9
S
Use the grid to answer the questions.
1. Which ship is 6 miles west of ship A? _______________
2. Which ship is 5 miles east of ship E? _______________
3. Which one is 7 miles west, 11 miles south of ship B? _______________
4. Which one is 6 miles east, 4 miles north of ship E? _______________
5. Which ship is directly northeast of ship F? _______________
99
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
94
Calculating Area
Name
Date
Figure It Out
Use the figure and the formulas to calculate the area for each problem.
H
A
I
G
Formulas
5 ft
5 ft
E
B
Area of a square = s2
F
Area of a rectangle = l x w
6 ft
15 ft
9 ft
C
K
J
D
1. Area of square ABDC = __________ sq ft
2. Area of rectangle EGKC = __________ sq ft
3. Area of square HBFI = __________ sq ft
4. Area of rectangle EFDC = __________ sq ft
5. Area of square EIJC = __________ sq ft
6. Area of rectangle GIJK = __________ sq ft
7. Area of rectangle HBDJ = __________ sq ft
8. Area of rectangle IFDJ = __________ sq ft
100
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
95
Calculating Area
Name
Date
The Biggest Sleepyhead
Averaging about 22 hours of sleep each day, this
animal is considered to be the sleepiest of all
animals. What is this sleepy animal?
Answer:
____ ____ ____ ____ ____
881608814448
To answer the question, find the area of each triangle.
Write the letter of the triangle in the space above its area.
When you are done reverse the letters. Hint: One letter will
be used more than once. Some letters will not be used.
1
Use this formula to find the area of a triangle: A = ___ bh.
2
S.
R.
K.
b = 10 ft
b = 2 ft
b = 16 ft
h = 12 ft
h = 12 ft
h = 6 ft
A = ________ sq ft
A = ________ sq ft
O.
b = 16 ft
h = 18 ft
A = ________ sq ft
A = ________ sq ft
L.
b = 20 ft
A.
h = 16 ft
b = 8 ft
A = ________ sq ft
h = 22 ft
A = ________ sq ft
J.
T.
E.
b = 24 ft
b = 14 ft
b = 16 ft
h = 6 ft
h = 9 ft
h = 7 ft
A = ________ sq ft
A = ________ sq ft
A = ________ sq ft
101
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
96
Calculating Averages,
Means, Median, and Mode
Name
Date
Mean and Median à la Mode
Yum! Look at the tasty mean, median, and mode problems.
Solve three in a row to get Tic-Tac-Math!
Find the median of the
Find the median, mode,
Find the mean, median,
following data:
and range of the following
mode, and range of the
lengths of pieces of wood
following numbers:
7, 12, 15, 12, 5, 6, 4, 1
(all the measurements are
6, 1, 3, 1, 5
in inches):
4, 3, 8, 3, 5, 2, 3
What whole number must the
What whole number must
What must the missing piece
missing piece of data be to
the missing piece of data be
of data be to have a mean
have a range of 15?
to have a mode of 3?
of 8?
14, ____, 9, 12,
5, 2, 3, 3, 2, 4, ____
7, 12, ____, 3, 11
2, 2, 8, 2, 1
What must the missing piece
What must the missing piece
What must the missing piece
of data be to have a mean
of data be to have a mean
of data be to have a mean
of 30?
of 20?
of 33?
20, 30, 50, 40, ____
18, 11, 7, 15,
51, 52, ____, 23,
32, 27, ____
21, 17, 37, 45
102
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97
Data Analysis
Name
Date
Pop Quiz
T
he students in Ms. Bunsen’s science
class took a pop quiz today. The line
plot shows their scores. Use the data
to answer the questions.
Quiz Scores
x
x
x
x
x
x
x
x
x
x
x
x
x
556065707580859095100
Score
1. How many students took the quiz? ________________________
2. Which score is an outlier? ______________________________
How do you know? ____________________________________________________
3.Around which score do the data cluster? ___________________________
4.What are the range, mean, median, and mode of the scores?
_____________________________________________________________________________
5.What are the range, mean, median, and mode of the scores without the outlier?
_____________________________________________________________________________
103
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
98
Data Analysis
Name
Date
Sizing Up the Data
The line plot shows the shoe sizes of all the members
of the school baseball team.
Shoe Sizes
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
5 6 7 8 9 1011121314
Score
The team’s equipment manager made the line plot from data she collected
and recorded in a frequency table.
Show what that table would look like. Then summarize what the data shows.
Shoe Size
Tally
Frequency
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
104
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
99
Data Analysis
Name
Date
Baxter’s Budget
Baxter has a part-time job. The double line graph shows his
monthly income and expenses for 6 months. Use the data
to answer the questions.
BAXTER’s Income and Expenses
$400
income
Money
350
300
250
expenses
200
150
0
Jan
Feb
Mar
Apr
May
Jun
Month
1.What was the difference between Baxter’s
income and expenses in May? __________________________________________________
2.In which month did Baxter save the most money? _______________________________
3.To the nearest dollar, was the mean monthly
difference between Baxter’s income and his expenses? ___________________________
4.In which month were Baxter’s expenses
the greatest percent of his income? ______________________________________________
5.Write a question that can be answered using the graph. __________________________
_________________________________________________________________________________
105
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
100
Data Analysis
Name
Date
Message Math
T
he histogram shows the number of text messages sixth graders
sent one Saturday. Use the data to answer the questions.
Number of Kids
Text Messages Sent
5
4
3
2
1
0
21–2526–3031–3536–4041–4546–50
Number of Messages
1. How many kids sent between 46 and 50 messages? ____________________
2.How many kids sent fewer than 36 messages? ____________________
3.How many more kids sent between 36 and 40 messages
than sent between 21 and 25 messages? ____________________
4.What is the mode of the data? ________________________ How can you tell?
_________________________________________________________________________
Bonus!
Draw a line to match the type of graph to the data it would best describe.
1. You want to compare the first month’s
book sales of two biographies of a famous actor.
a. histogram
2. You want to show how your cat spends a
typical 24-hour day.
b. line
3. A rock group just released a new CD. You want to
show monthly sales over a 6-month time period.
c. bar
4. You want to show what music people like in their
teens, twenties, thirties, and forties.
d. circle
106
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Answer Key
6
Comparing Fractions
Name
Date
Fractions Beyond Compare
These fractions are simply gorgeous! Solve three
problems in a row to get Tic-Tac-Math!
Practice Page 1:
1. 300,000,000,010
2. 59,000,000,130
3. 606,000,000,000
4. 32,000,000,000,104
5. 7,000,000,000,400
6. 5,024,020
7. 24,016,000,000
8. 152,002,000,000,005
9. 97,014,011
10. 48,900,001,027
Practice Page 2:
1. <
2. >
3. >
4. >
5. <
6. =
7. >
8. >
9. >
10. >
Practice Page 3:
Pittsburgh
I. 4
R. 6
C. 7
S. 3
H. 8
Practice Page 6:
Circle the fractions that are
Circle the fractions that are
greater than 2 .
less than 2 .
1
___
1
___
105 , 3
10
, 14615 , 34 9
12
18
18 4 28 16
___
___
___
___
15
___
9
___
4
___
21
___
28
16
10
60
10 , 22 , 36 20 44 72
___
6
___
18
14
___
Hortence is really hungry.
Which amount of pizza should
she eat if she wants to eat
2 of a pizza
3
2
___
___
56
___
50
2
___
more: 4 of a pizza or 3 of
Marco studied for 16 of an
hour, and Melissa studied for
3
___
4
of an hour. Who studied
Marco
4
___
7
___
Bekah ran 5 of a mile and
Paula Sue completed 8
Jeff ran 3 of a mile. Who ran
more?
of her homework, and
2
___
Bekah
1
___
Frangelica swam 2 2 laps at
They both swam an equal distance.
the pool, while her sister Bailey
2
___
swam 2 4 laps. Who swam
more?
longer?
a pizza?
1
___
equivalent to 2 using the
1 3, 615
7
6
29
7 18
1
___
Write three fractions that are
denominators 20, 44, and 72.
3
___
Roberto skied 4 5 miles on the
cross-country trails, while his
15
___
9
___
brother Pascal skied 4 10 miles.
Who skied a greater distance?
Janet Lynn completed 20
of her homework. Who did
Pascal
Paula Sue
a greater portion of her
homework?
Practice Page 7:
The Great Train Robbery
1. T, 1001; H, 1.010 E, 1.101
2. G, 4.205; R, 4.245; E, 4.25
3. A, 0.853 T, 0.8539; T, 0.854
4.
8 R, 0.00802; A, 0.0082; I, 0.0820
5. N, 17.013; R,Round
17.1002;
’emO,
Up17.1020; B, 17.120
6. B, 2.00325; E, 2.03254; R, 2.325; Y, 2.3253
12
Rounding
U. 2
B. 1
G. 0
P. 9
T. 5
1. 1
2. 9
3. 0
4. 5
Practice Page 4:
1. 0.8
2. 0.06
3. 0.63
4. 0.016
5. 0.0009
6. 1.02
7. 0.00012
8. 60.09
9. 0.0047
10. 7,000.022
Practice Page 5:
West Quoddy Head
1. U, 0.5
8. Y, 12.54
2. S, 0.37
9. W, 4.781
3. A, 2.99
10. Q, 19.03
4. D, 15.40
11. E, equal
5. T, 0.075
12. D, 0.0530
6. O, 0.81
13. D, 11.75
7. E, equal
14. H, 23.64112
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Name
Date
Complete each set of problems below.
Practice
Page 8:
1. Round each number to the nearest 1,000 and 100,000.
1. Number
Nearest 1,000
Nearest 100,000
389,900
1,844,938
24,061,562
390,000
390,000
1,845,000
1,845,000
24,062,000
24,062,000
400,000
400,000
1,800,000
1,800,000
24,100,000
24,100,000
of the underlined digit.
2.2.(Round
Leftto thetoplace
right)
30,900,000; 92,807.05;
30,948,007 _____________________
92,807.045 _____________________
1,286,000.4; 4,000,041,000;
8,726,739.03;
1,286,000.372 __________________
4,000,040,706 ___________________
5,528,910,000
_________________
5,528,908,282
___________________
3. (8,726,739.0283
Left to right)
0.05; 10;
0.009;
40; 7,000;
0.005
3. Round to the greatest nonzero place.
Practice Page 9:
0.00872 ________________________
44.4123 ________________________
1. 0.06
6. 297.04
6,727.39 _______________________
0.00526 ________________________
2. 6.04
7. 12.4080
3. 4.750
8. 27
4. 30
9. 6.3872
5. 0.07048
10. 63.302
0.047 __________________________
Practice Page 12:
wandering albatross
1. <, T
10. >, R
2. <, O
11. <, R
3. >, D
12. <, I
4. <, N
13. <, G
5. >, S
14. <, W
6. >, A
15. >, A
7. <, A
16. >, B
8. >, N
17. <, S
9. >, L
18. >, E
Practice Page 13:
(Left to right) 326; 15; 18; 4.5; 2⁄5; 0.6; 22; 0; 87;
5
⁄8 ; 2⁄3; 75
1. T 2. F 3. T 4. F
Practice Page 14:
Jacob Ludwig Karl, Wilhelm Karl
D. 6
S. 16
E. 8
R. 23
I. 17
U. 15
C. 3
O. 7
P. 14
K. 2
M. 12
G. 62
15
B. 0
W. 53
A. 5
L. 24Positive!
Absolutely
H. 9
J. 54
Mixed Practice
Name
Being negative isn’t so bad. Negative numbers are
actually pretty cool. Solve three integer problems in
a row to get Tic-Tac-Math!
Practice Page 15:
What is the absolute value
What is the absolute value
of –8?
of –13?
8
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 10:
John Gorrie
1. -6, J
6. 0, O
2. 0, O
7. 1, R
3. 3, H
8. 1, R
4. -3, N
9. -1, I
5. 6, G
10. -2, E
Practice Page 11:
1. -9, -6, -5, -2; -40, -4, 4, 40
2. 19, 9, -9, -91; 17, 7, -17, -77
3. -5; +400; -75; +6
107
Fill in the box with <, >, or =.
–3
13
Fill in the box with <, >, or =.
Imagine a number line with
<
2
What is the sum of –3 and +7?
negative numbers to the left
6
>
–5
9.807 __________________________
14
Date
of zero and positive numbers
to its right. If you start on +7
+10
and move three spaces to
the right, on what number
+4
will you land?
Find the sum:
–4 + –3 + –11
–18
Talia added –4 + –5 + 8 and
What number should you add
got –17. She made an error.
to –8 to get +12?
She added –8 instead of +8. made? What is the correct
answer?
Her answer should have been –1.
What error do you think she
Practice Page 16:
1. 10,801
2. 767
3. 22,416
4. 1,157
5. 76,120
6. 28,962
7. 155,181
8. 762,184
9. 2,110,889
10. 4,608,022
21
+20
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Answer Key
Practice Page 17:
1. 46,561 waves
2. 160,318 visitors
3. 2,108 pages
4. 1,291 freckles
Practice Page 18:
1. 1,199 miles
2. 16,959 more chocolate chips
Practice Page 19:
1. 15.56
2. 1.5633
3. 2.787
4. 10.3078
5. 5.9524
6. 0.165
7. 6.8
8. 3.35
9. 10.45
10. 6.85
11. 65.39
12. 62.456
Practice Page 20:
Answers will vary. Check students’ work.
Practice Page 21:
1. 84.6 cm
2. 572.05 cm
Practice Page 22:
Answers will vary. Check students’ work.
Practice Page 23:
1. 1.5 pounds
2. 0.905 pounds
3. 1.728 pounds
4. 7.928 pounds more
Practice Page 24:
“Bi-son!”
I-$6.01, O-$13.70, E-$1.25, S-$2.97, N-$12.68,
B-$7.25
Practice Page 25:
1. (Left to right) 360; 30,000; 280,000; 49,000;
8,000; 180,000; 48,000; 60,000; 2,800,000;
500,000; 2,500; 120,000
2. 6,000; 8,000; 25,000; 480,000; 180,000;
600,000
Practice Page 26:
1. 86,136
2. 50,061
3. 37,500
4. 491,694
5. 87,822
6. 58,706
7. 209,952
8. 998,001
Practice Page 27:
1. $28,116
2. 519,331
Practice Page 35:
Answers will vary. Check students’ work.
Practice Page 36:
It is four days old.
S-5.9, Y-2.8, E-5.85, O-9.7, F-7, R-20.7, D-4.7,
U-2.3, I-3.35, T-8.7, A-7.9, L-34.65
Practice Page 28:
The others are weak days.
T-0.12, S-27.44, K-2.42, O-33.93, N-5.94,
A-21.90, W-0.38, E-7.13, D-29.44, H-11.99,
Y-32.37, R-0.27
Practice Page 37:
1. 66 portions
2. 17 strips
3. 108 bags
4. 11 bags with 0.25 pounds left over
Practice Page 29:
Answers will vary. Check students’ work.
Practice Page 30:
1. 62.08 minutes
2. 67.044 minutes
3. $62.82
4. $199.20
Practice Page 38:
biodiversity
E. 7 5⁄6
S. 9 1⁄3
Y. 11 1⁄20
T. 9 9⁄14
V. 12 2⁄9
B. 9 7⁄24
Practice Page 31:
Answers may vary; sample answers:
1. 400
2. 700
3. 900
4. 50
5. 80
6. 8,000
7. 90,000
8. 12
9. 10,000
10. 6,000
11. 20
12. 20,000
40
Mixed Numbers
Practice
Page 39:
1. 50 ⁄2 inchesFraction Leftovers
2. 17 23⁄24 miles
Subtracting Fractions and
Dividing Decimals by
Whole Numbers
Practice Page 40:
3
___
4
6.324
50
1.515
0.0303
37
9.287
0.251
1
___
4
3
1
2
3 10
7
5
1
5 4
22
16.72
14
0.76
60
96.66
25
1.611
41
82.82
40
114.8
8.2
86
1
1
5
5
1
2
5 – 1___
5 =
17 ___
3 –
2
3 5
46
=
11
16
16
___
6 ___
12 – 5 12 =
6 4
3
3
___
6
___
4
=
17 15
15
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
N. 21⁄4
A. 47⁄8
H. 5 5⁄12
O. 41⁄24
S. 4 7⁄9
I. 5 5⁄6
Practice Page 42:
1. 13⁄8 inches
2. 6 9⁄20 miles
201.5
8.06
2.02
3
–
8
___
9 ___
4 – 3 2 =
Practice Page 41:
Hippocrates
R. 31⁄10
C. 33⁄4
D. 4 2⁄3
T. 5 3⁄10
E. 5 7⁄8
P. 41⁄3
Date
7
___
2
4 5
3
2
1
___
7 ___
5 – 3 5 =
=
___
10 ___
8 – 5 8 =
Practice Page 34:
30
–
7
Watch out for the pointy porcupine! See how sharp
your decimal division skills are by solving three
problems in a row to get Tic-Tac-Math!
0.2108
Date
What’s left over when you subtract these fractions
and mixed numbers? Solve three problems in a row
to get Tic-Tac-Math! Write all answers in simplest form.
___
6 ___
10 – 3 5 =
Name
Name
1
Practice Page 32:
1. 169 R31
2. 108 R14
3. 3 R433
4. 1,001
5. 443 R63
6. 503
7. 172
8. 1,003 R10
34
Practice
Page 33:
1. 24 miles Pointy Decimal Points!
2. 97 pepperoni pizzas
J. 8 1⁄6
M. 11 1⁄8
I. 10 7⁄18
O. 7 4⁄15
R. 12 3⁄10
D. 14 1⁄4
Practice Page 43:
1. 8 1⁄8 miles
2. 5⁄6 quart
3. 3⁄4 hour (45 minutes)
4. Taryn’s; 3⁄8 inch
137.6
1.6
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
108
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Answer Key
Practice Page 44:
Use a pencil.
P-6 3⁄4, U-123⁄8, C-17 1⁄3, L-10 4⁄5, A-5 3⁄4,
N-7 1⁄2, E-131⁄8, S-14, I-6 2⁄3, R-9 6⁄7
Practice Page 45:
1. 11⁄4
2. 4⁄15
3. 5⁄11
4. 28 3⁄25
5. 22 3⁄4
6. 8 7⁄16
7. 11⁄60
8. 10 2⁄7
9. 34 3⁄10
10. 30 2⁄3
Practice Page 46:
Garret A. Morgan
N. 38⁄9
S. 16 1⁄2
G. 6 1⁄2
O. 2 1⁄4
T. 8 4⁄5
L. 13⁄4
Practice Page 52:
Richard James
H. 2 5⁄7
M. 13⁄7
S. 4 2⁄3
T. 3 1⁄18
D. 2 7⁄12
E. 11⁄4
Practice Page 58:
Arthur Conan Doyle
H. 16.8
N. 57.6
L. 70.68
K. 50.4
E. 25.9
Y. 111
S. 112.5
C. 83.6
U. 46
R. 381.9
T. 184
A. 195
I. 28
D. 84.24
O. 20.16
Y. 61⁄4
I. 4 3⁄4
J. 2 3⁄20
C. 24⁄9
A. 2 3⁄4
R. 11⁄4
Practice Page 53:
for a pop quiz
Q-0.717, U-1.03, P-2.3, T-0.47, F-0.833,
Z-0.001, R-4.7, I-0.05, A-3.95, D-1.031,
Y-0.07, O-7.2
H. 2
J. 5 5⁄6
R. 8 1⁄3
A. 10 1⁄2
M. 31⁄2
E. 5 1⁄4
Practice Page 47:
1. 8 1⁄4 cups
2. 1⁄2 mile
Practice Page 48:
It’s not right.
R-3⁄4, I-9⁄10, L-21⁄2, W-8⁄9, S-7⁄9, O-2⁄3,
H-22⁄5, C-1⁄2, N-5⁄6, T-13⁄4, G-11⁄8, B-6⁄ 7
Practice Page 49:
1. 1
2. 3 2⁄5
3. 5⁄6
4. 4
5. 1⁄2
6. 1
7. 2
8. 4
9. 2
10. 11⁄20
11. 5⁄8
12. 6⁄11
Practice Page 50:
Answers will vary. Check students’ work.
Practice Page 51:
Both test pupils.
O-3 1⁄6, S-4 3⁄8, M-13⁄ 7, H-1⁄3, I-2⁄3 , A-19⁄10,
E-12⁄3, P-11⁄4, L-3⁄4, T-15⁄12, B-3⁄10, U-6⁄ 7
Practice Page 54:
George Washington Carver
S. 10%
B. 100%
N. 8%
L. 92%
I. 20%
H. 37.5%
O. 50%
C. 60%
M. 64%
R. 3%
V. 120%
W. 110%
A. 75%
G. 12.5%
T. 245%
E. 375%
Date
T- ⁄10, Y-50%, S⁄10, U-30%,
We’re
All Equal!E- ⁄10, R-70%,
O-1⁄10, A-10%, N-6⁄10, M-60%, G-9⁄10, D-90%
5
3
7
Fractions, decimals, and percents all express
parts of a whole. Solve three problems in a row
to get Tic-Tac-Math!
Practice Page 56:
What is the decimal
equivalent of
1
___
4
?
What is the fraction
What is the percent equivalent
equivalent of 0.6
of
(in simplest form)?
Which is greatest? Circle.
40%
5
___
58
8
7
___
10
?
3
5
0.25
0.6
70%
Which is least? Circle.
1
___
15%
5
0.1
Which is greatest? Circle.
0.1
35%
8
___
25
2
5
2
___
5
0.05, 1 , 1 ,
10 5
1
1
0.55 ___ 1 45% ___
25%, 10 , 0.35,3
3
1
___
0.35 0.05 25%
5 45%, 0.55
Order the set from least to
to least:
greatest:
20
70.38, 3 24%
20 8
3
___
8
0.52
0.38, 0.52
9.8%
Practice Page 57:
1. 20%
2. 28%
3. 68%
4. 100%
5. 76%
6. 140%
62
Name
Date
Hip-hip-hooray! These girls are rooting for
you to solve three pattern problems in a row
and get Tic-Tac-Math!
Practice Page 63:
Find the next three numbers
Find the next three numbers
Find the next three numbers in
in the pattern below. Then
in the pattern below. Then
the pattern below. Then explain
explain the pattern in words.
explain the pattern in words.
Find the next three numbers
Find the next three numbers
7.9, 7.6, 7.3 in words.
10.45, 10.35, the pattern
5.4, 5.5, 5.6 (subtract 0.3 10.25 (subtract 5.1, 5.2, 5.3
10.75, 10.65, 10.55
9.1, 8.8, 8.5, 8.2
(add 0.1 to the from the previous 0.1 from the previous number)
____, ____, ____
____, ____, ____
____,
____, ____
number)
previous number)
Find the next three numbers
the pattern below. Then
in the pattern below. Then
31, 38.7, 46.4 inexplain
the pattern in words.
explain the pattern in words.
0.28, 0.3, 0.32 0.1, 0.11, 0.12 (add 7.7 to (add 0.02 to the (add 0.01 to the 0.2, 7.9, 15.6, 23.3
0.2, 0.22, 0.24, 0.26
0.07, 0.08, 0.09
the previous previous number) previous number)
number)
____,
____, ____
____, ____, ____
____, ____, ____
explain the pattern in words.
Order the set from greatest
7
___
Identifying Decimal Patterns
in the pattern below. Then
greatest:
0.74, 0.6,
1 , 0.48,0.48
0.74 47.5%
2
1
3
___
___
3 0.6
247.5%, 10
10
Practice Page 62:
Elisha Graves Otis
1. V, 0.6
7. E, 12.5
2. T, 2.4
8. G, 0.025
3. S, 1.75
9. P, 1
63
4.
L, 2.25
10. H, 0.5
Three
Cheers for
5. A, 1.5
11.Decimal
O, 0.16 Patterns!
6. R, 2
12. I, 0.125
0.39
Order the set from least to
9.8%, 24%
Practice Page 60:
1. 114
2. 156; 84
3. 13; 108
Practice Page 61:
Either or
R-$8.00, I-$6.00, H-$32.00, E-$14.00, T-$7.50,
O-$5.40
Practice Page 55:
56
Mixed Practice
Name
You
grue-some!
Practice Page 59:
1. 5%
2. 36%
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Find the next three numbers
0.0005, in the pattern below. Then
5.4, 16.2, 48.6 0.00005, explain
the pattern in words.
(multiply the 0.000005 (divide 0.5, 0.05, 0.005
0.2, 0.6, 1.8
previous number the previous ____, ____, ____
____,by 3)
____, ____
number by 10 or multiply it by 0.1)
Find the next three numbers
Find the next three numbers in
in the pattern below. Then
the pattern below. Then explain
explain the pattern in words.
the pattern in words.
6.45, 5.85, 5.25 (subtract 0.6 8.25, 7.65, 7.05
from the previous ____,
____, ____
number)
Practice Page 64:
Roe River, Montana
1. E, 4⁄8
6. D, 21⁄4
2. I, 2
7. N, 1⁄81
1
3. R, ⁄11
8. M, 2⁄5
4. B, 7⁄8
9. T, 1⁄16
5. A, 3
10. O, 16⁄20
69
109
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
65
Identifying Fraction Patterns
Name
Date
Answer
Key
I Detect a Pattern
Look for clues to help you uncover the next numbers
in each pattern. Solve three pattern problems in a
row to get Tic-Tac-Math!
Practice Page 65:
9 , 11 , 13
in the pattern
below. Then
explain
words.
8 the pattern
8 in 8
Find the next three numbers
5
1 ___
1
___
3
___
13 , 16 , 19
in the pattern
below. Then
explain
3 the pattern
3 in words.
3
Find the next three numbers
2
7
___
4
___
3
7
___
10
___
3 , 3 , 3 to (add 1 or 3
the previous ____, ____, ____
number)
8 , 8 , or 8 , 8 (add 4
8
to the previous ____, ____, ____
number)
1 , 1 , 1
the
in
pattern below. Then
explain
pattern in 256
words.
64 the128
1 (divide the 1 ___
1 ___
1 ___
1
___
___
2 , 4 , 8 , 16 , 32
previous number by 2 or multiply it ____, ____,
____
by 12 )
Find the next three numbers
1numbers
4 next three
2 numbers
Find
next three numbers
Find the1
next three
Find the
3thepattern
in the
, 3below., Then3
1pattern
1
,1below.
in the
below.
in the 5
pattern
Then
2 ,1
4 , Then
5 , 1
explain
pattern in words.
in words.
112 the224
448 explain the pattern in words. explain the pattern
3
(add to the (divide the 1
3
1
1
3 ___
3 ___
3 ___
3
1 ___
4 ___
25
3
___
___
___
2 4 , 2 , 1 from 1
1
4
7 , 14 , 28 , 56
5 , 5 , 5 , , 5 , 5
(subject previous number; 4
previous number 2
the previous by 2 or multiply it then subtract ____, ____,
____
____, ____, ____
____, ____, ____5 by 12 )
number)
from that number)
___
4
3
___
7
___
1
Find the next three numbers
Find the next three numbers
in the pattern below. Then
in the pattern below. Then
explain the pattern in words.
explain the pattern in words.
1 5 , 2, 1 5
2
3 8 , 4 8 , 4
10 23 , 21 13 , 42 23
Find the next three numbers
in the pattern below. Then
1
explain the pattern in words.
3
5 to the 1
3
(add (subtract 3
1
2 from 1
1
2
1
1 ___
2
___
3 8 , 3 84, 3 2 , 3 4 ,
2 5 , 2 5 , 2 55, 2, 2 5
, 3,13,23,53
3(multiply the previous number; the previous 5
7
3
3 8 , 3 8 , 3 4 , 41
previous number then subtract 8 number; then add ____, ____, ____
____, ____, ____
1
by 2)
____, ____, ____
5 to that number) from that number)
___
___
___
___
___
___
___
___
___
___
___
71
___
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 66:
1. 1, 2, 4, 8
2. 1, 2, 7, 14
3. 1, 2, 3, 5, 6, 10, 15, 30
4. 7, 29
5. 37, 41, 47, 53
6. 71, 73, 79, 83, 89, 97
7. 4
67
8. 9
Mad About Multiples!
9. 15
10. 13
Multiples and Least Common
Multiple
___
___
Name
Date
Do you find multiples mesmerizing? Solve three
problems in a row to get Tic-Tac-Math!
Practice Page 67:
Which of the following are
Which of the following are
Which of the following are
multiples of 5?
multiples of 6?
multiples of 3?
20
52
35
20, 30, 35
23
30
18
30
16
18, 24, 30
25
24
29
31
52
78, 102
78
102
What is the least common
What is the least common
What is the least common
multiple of 7 and 4?
multiple of 24 and 12?
multiple of 15 and 21?
28
24
105
Two dogs are sitting next to
Barney and Julia are both
Glenda and Penny are doing
each other. Starting now, one
very tired. Starting now,
a sack race. Glenda jumps
dog will bark every 3 seconds
Barney will yawn every 8
forward 18 inches each time
seconds and Julia will yawn
she jumps. Each of Penny’s
every 4 seconds. When is the
hops is 15 inches. How far from
next time both of them will
the starting line will it be when
yawn at the same time?
Glenda and Penny have both
In 15 seconds
and the other dog will bark
every 5 seconds. When is the
next time both dogs will bark
at the same time?
In 8 seconds
90 inches from the starting line
traveled at the same distance?
Practice Page 68:
1. (Left to right) 1,000; 1; 10,000,000;
100,000,000; 10,000; 10; 100; 1,000,000
2. (Left to right) 102; 10 0; 104; 106; 103; 107
3. 90,600; 320,700
4. (1 × 103) + (5 × 10 0); (2 × 102) + (1 × 101) +
(6 × 10 0); (4 × 104) + (2 × 103) + (9 × 102) +
(6 × 10 0)
73
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 69:
Chinese paddlefish
H. 16
P. 64
N. 81
I. 100
E. 343
F. 36
G. 27
C. 32
L. 125
S. 144
M. 256
A. 0
Y. 8
O. 729
D. 243
Practice Page 70:
1. commutative
2. associative
3. identity
4. identity
5. distributive
6. identity
7. associative
8. identity
9. commutative
10. distributive
Practice Page 71:
Lake Compounce
E. 11
M. 21
N. 33
K. 15
C. 0
L. 20
A. 35
O. 40
R. 3
U. 10
S. 4
P. 6
Practice Page 75:
Vostok
1. 150 ÷ n
2. n + 25
3. 3n
4. 150 – n
5. 50n
6. 2n + 3
Practice Page 76:
1. 5n
2. 3n
3. 7n
4. 7n – 3s
5. 9y + 2
6. 12t
7. 2w
8. 10p
9. 12b – 7
10. 160x
Practice Page 77:
Angel Falls, Venezuela
U. 18
R. 16
B. 2
A. 4
L. 8
T. 17
W. 3
F. 42
N. 120
S. 56
78
H.
5
V. 13
X Marks
E. 26
G.the
30 Spot!
J. 14
Z. 12
Evaluating Expression
Name
Date
You’ve found it—the secret to evaluating
variable expressions. Solve three problems in
a row to get Tic-Tac-Math!
Practice Page 78:
Practice Page 72:
1. 6
2. 5
3. 4
4. 3
5. 7
6. 2
7. 38
8. 8
9. 12
10. 11
11. 13
12. 1
x + 7,
3x,
x ÷ 5,
where x = 8
where x = 4
where x = 30
15
12
2x – 3,
1 + 4x,
13x – 28,
where x = 7
where x = 2
where x = 5
9
37
11
9x + 6 – 5x,
where x = –1
2
Practice Page 73:
1. n + 7
2. n – 2.8
3. n2 + 8
4. 12n
5. 2n + 3
6. 3n – 42
7. 2n – 5
4. 2.5n + 8.5
9. 45n2
10. n + 10
11. n – 6
12. n⁄4
6
A hot dog costs $1.27 more
A super sundae costs $.88
than twice the price of a
less than 3 times the price
soda. Write an expression
of a single cone. Write an
that shows the price of a hot
expression that shows the
dog in relation to the price
price of a super sundae in
of a soda. Then evaluate
relation to the price of a single
where a soda costs $.99.
cone. Then evaluate where a
h = 2s + $1.27; $3.25
s = 3c – $.88; $3.29
single cone costs $1.39.
Practice Page 79:
1. (Left to right) 7; 22; 3; 14; 1; 11; 27.5;
4; 5; 0
2. (Left to right) 10.81; 5.62; 0.61; 6.37;
3.24; 0.89
84
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 74:
Answers will vary. Check students’ work.
110
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Answer Key
Practice Page 80:
Clive Staples
V. n + 4 = 9
T. n – 4 = 9
L. n ÷ 8 = 9
R. 3n = 9
P. (n ÷ 2) + 5 = 9
C. 5n – 6 = 9
N. 3n ÷ 4 = 9
A. 3n – 3 = 9
H. (n + 4) ÷ 2 = 9
E. 3(n + 1) = 9
S. (3n + 3) ÷ 3 = 9
I. n(2 + 1) = 9
Practice Page 81:
1. w + 2.5 = 3.8
2. y – 82 = 47
3. n⁄0.5 = 2
4. 3⁄8 k = 1 7⁄8
5. z⁄175 = 25
6. b + 1,231 = 2,342
7. 64d = 960
82
8. 4,050⁄x = 81
9. m⁄75 = 15
Give Y a Try!
10. 160v = 1,760
Writing Equations/
Word Problems
Name
Date
Practice Page 82:
A rectangle’s length is y cm.
A rectangle’s length is y
Harold’s dad is 3 times his age.
Its width is 5 cm. Its perimeter
cm. Its width is 2 cm. The
The sum of Harold’s age and his
y + y + the rectangle.
5 + 5 = 34 cm; y = 12 cm
perimeter is 10 cm. Find the
Oriana is 5 years older than
Ella is twice Bella’s age,
her brother Francisco. The sum
and Stella is three times
F + F + 5 = 27; Francisco is 11 and Oriana is 16
y + y + 2 + 2 = 10; y = 3 cm
rectangle’s width.
3B – B = 8; difference in their ages is 30
4H + 3 – H = 30; How old is Harlan? How
Bella is 4, Ella is years.
old is his dad?
ages is 8 years. How old is
Harlan is 9 and his each
girl?
8, and Stella dad is 39
is 12
than 4 times Harlan’s age. The
Bella’s age. The difference
each child?
between Stella’s and Bella’s
Sally has twice as many hair
H + 3H = 60; is Harold? How old is his dad?
Harold is 15 years old and his father is 45
father’s age is 60 years. How old
Harlan’s dad is 3 years more
of their ages is 27. How old is
Janet bought 3 dozen
Ty, Malcolm, and Fred were
playing basketball. Malcolm
from Delectable
N + 2N + 2N – 3 donuts
P + 3P + 3P – 6 T + T + 2 + 2T + 4 made 2 more baskets than Ty,
Donuts. She bought 3 times
= 32; Natasha = 36; 6 plain, 18 = 42; Ty made 9 and
Fred made 4 more than
as many honey-dipped as
of all
three girls’ ribbons is 32.
twice the number that Ty made.
She bought 6 fewer
How many hair ribbons does
has 7 ribbons, plain.
honey-dipped, baskets, Malcolm Together, the boys made 42
chocolate-frosted than
each girl have?
baskets.
How many baskets did
honey-dipped. How many of
Sally has 14, and and 12 chocolate made 11, and Fred each boy make?
she buy?
Bethany has 11 each didfrosted
made 22
ribbons as Natasha. Bethany
has 3 less than Sally. The sum
Practice Page 83:
Velcro
L. 16 – 12 = n
O. 12 – 4 = n
R. 36 ÷ 3 = n
E. 12 + 3 = n
C. 12 ÷ 3 = n
V. 3 × 12 = n
88
Practice Page 92:
Wiley Post
1. W
2. I
3. L
4. E
5. Y
Practice Page 85:
James Montgomery Flagg
L. 11
F. 5
T. 7
S. 84
R. 3
Y. 147
U. 72
A. 6
E. 125
O. 33
M. 12
G. 144
N. 243
J. 168
H. 365
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 87:
James Starley
1. y = x + 2
2. y = 2x
3. y = 3x
4. y = x – 2
5. y = -2 x
Practice Page 94:
1. 400 sq ft
2. 90 sq ft
3. 25 sq ft
4. 300 sq ft
5. 225 sq ft
6. 135 sq ft
7. 100 sq ft
8. 75 sq ft
Practice Page 95:
koala
S. 60 sq ft
T. 63 sq ft
O. 144 sq ft
K. 48 sq ft
96
J. 72 sq ft
A. 88 sq ft
R. 12 sqMean
ft and Median
E. 56 sq
ft Mode
à la
L. 160 sq ft
Calculating Averages, Means,
Median, and Mode
6. y = x – 4
7. y = 1⁄2 x
8. y = 2x – 1
9. y = 2x + 1
Name
Date
Yum! Look at the tasty mean, median, and mode problems.
Solve three in a row to get Tic-Tac-Math!
Practice Page 96:
Practice Page 88:
1. ( Left to right) 1 to 3; 2 : 5; 1⁄3; 2 to 3; 5 : 3; 2
to 1; 4 : 1; 1⁄7; 3 to 5; 2 : 1
2. ( Top to bottom) 9 to 6, 36 : 24; 20 : 14, 1 to
0.7; 9 to 5
3. (Left to right) ; =; =; ; =; =
Practice Page 89:
Juliette Gordon Low
R. 9
W. 15
N. 18
S. 10
I. 7
J. 4
U. 12
C. 48
L. 8
G. 21
M. 6
T. 36
E. 5
O. 24
D. 3
1912
Find the median of the
Find the median, mode,
Find the mean, median,
following data:
and range of the following
mode, and range of the
lengths of pieces of wood
following numbers:
7, 12, 15, 12, 5, 6, 4, 1
1
2
6.5 or 6 median: 3; mode: 3; 4, 3, 8, 3, 5, 2, 3
range: 6
(all the measurements are
in inches):
mean: 3.2; median: 3; 6, 1, 3, 1, 5
mode: 1; range: 5
What whole number must the
What whole number must
What must the missing piece
missing piece of data be to
the missing piece of data be
of data be to have a mean
have a range of 15?
to have a mode of 3?
of 8?
16
14, ____, 9, 12,
3
7
5, 2, 3, 3, 2, 4, ____
7, 12, ____, 3, 11
2, 2, 8, 2, 1
What must the missing piece
What must the missing piece
What must the missing piece
of data be to have a mean
of data be to have a mean
of data be to have a mean
of 30?
of 20?
of 33?
10
20, 30, 50, 40, ____
30
18
18, 11, 7, 15,
51, 52, ____, 23,
32, 27, ____
21, 17, 37, 45
Practice Page 97:
1. 13
2. 55; Answers may vary, but should express
that 55 is the score that is not within range
of the others.
3. 95
4. 45, about 89, 95, 95
5. 20, about 92, 95, 95
102
Practice Page 90:
1. 7 mph 2. 1 for $6 3. 8 ft/sec 4. 1 for $3.50
5. 1.5 pages/min 6. 1 can for $.60
Think Tank: 12 mph; 6 mi
111
6. P
7. O
8. S
9. T
Practice Page 93:
1. F 2. D 3. C 4. B 5. D
Practice Page 86:
1. n > 3; n ≥ -2; n ≤ 0; n < -4
2. (Top to bottom) 12, 13; 8; 28, 32; 9; 10, 8; 3
Write an algebraic equation to represent
and solve each problem. Solve three
problems in a row to get Tic-Tac-Math!
is 34 cm. Find the length of
Practice Page 91:
1. I, II, III
2. (1, 6), (5, –2), (6, 2)
3. Boxer, IV
Practice Page 84:
1. n = 135
2. m = 16
3. b = 99
4. y = 13
5. t = 14
6. n = 311
7. 2.1
8. 3.5
9. 24
10. 2,004
11. 0.9
12. 1.2
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Shoe Sizes
x
5
6
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
7
8
9
10
11
12
Answer Key
x
13
14
Score
e team’s equipment manager made the line plot from data she collected
d recorded in a frequency table.
Practice Page 98:
ow what that table would look like. Then summarize what the data shows.
Shoe Size
6
Tally
Frequency
1
1
5
6
4
4
3
1
7
8
9
10
11
12
14
Summaries will vary.
_________________________________________________________________________________
_________________________________________________________________________________
Practice Page 99:
1. $75
2. January
3. $79
4. March
5. Questions will vary.
_________________________________________________________________________________
104
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources
Practice Page 100:
1. 1
2. 8
3. 2
4. 36–40; it is the tallest bar.
Bonus — 1. c 2. d 3. b 4. a
112
100 Math Practice Pages, Grade 6 © 2015 • Scholastic Teaching Resources