Download E - Scholastic

by Judith A. Muschla
and
Gary Robert Muschla
New York • Toronto • London • Auckland • Sydney
Mexico City • New Delhi • Hong Kong • Buenos Aires
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Dedication
For Erin
Scholastic Inc. grants teachers permission to photocopy the reproducible pages in
this book for classroom use. No other part of this publication may be reproduced in
whole or in part, or stored in a retrieval system, or transmitted in any form or by
any means, electronic, mechanical, photocopying, recording, or otherwise, without
written permission of the publisher. For information regarding permission, write to
Scholastic Professional Books, 557 Broadway, New York, NY 10012.
Cover design by Maria Lilja
Interior design by Ellen Matlach for Boultinghouse & Boultinghouse, Inc.
Interior illustrations by Teresa Anderko
ISBN: 0-439-52962-X
Copyright © 2005 by Judith A. Muschla and Gary Robert Muschla
All rights reserved. Printed in the U.S.A.
1 2 3 4 5 6 7 8 9 10
40
13 12 11 10 09 08 07 06 05
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Contents
Introduction . . . . . . . . . . . . . . . . . 5
Ships Ahoy! . . . . . . . . . . . . . . . . . 7
writing equivalent fractions
A Giant Dinosaur . . . . . . . . . . . . . 8
simplifying fractions
New World Baby . . . . . . . . . . . . . 9
comparing fractions
A Huge, Mysterious Life-form . . . 10
converting improper fractions to mixed
numbers
A Very Short River . . . . . . . . . . . . 11
identifying fraction patterns
A Grand Old Tree . . . . . . . . . . . . 12
adding and subtracting simple
fractions (like denominators)
Go West! . . . . . . . . . . . . . . . . . . 13
adding simple fractions (unlike
denominators)
An Early Astronomer . . . . . . . . . . 14
subtracting simple fractions (unlike
denominators)
Going to the New World. . . . . . . 15
adding and subtracting mixed
numbers (like denominators)
Home Sweet Home. . . . . . . . . . . 16
adding mixed numbers (unlike
denominators)
Ancient Doctor . . . . . . . . . . . . . 17
subtracting mixed numbers (unlike
denominators)
Picture This . . . . . . . . . . . . . . . . 18
Bird-Watchers . . . . . . . . . . . . . . . 19
adding and subtracting mixed
numbers (review)
A Long Subway . . . . . . . . . . . . . 20
adding and subtracting fractions and
mixed numbers (word problems)
Monster Hailstone. . . . . . . . . . . . 21
multiplying simple fractions
A Traffic Stopper! . . . . . . . . . . . . 22
multiplying mixed numbers
The Little Dinosaur . . . . . . . . . . . 23
dividing simple fractions
A Famous Toy. . . . . . . . . . . . . . . 24
dividing mixed numbers
A Big Eruption . . . . . . . . . . . . . . 25
multiplying and dividing mixed
numbers (review)
Compute This. . . . . . . . . . . . . . . 26
multiplying and dividing mixed
numbers (word problems)
What’s on TV? . . . . . . . . . . . . . . 27
using four operations with fractions
and mixed numbers (review)
Showtime! . . . . . . . . . . . . . . . . . 28
finding place value (to tenthousandths)
Look to the East . . . . . . . . . . . . . 29
comparing decimals
Let’s Go to a Movie. . . . . . . . . . . 30
ordering decimals
adding and subtracting simple
fractions and mixed numbers (review)
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
An Old City . . . . . . . . . . . . . . . . 31
rounding decimals (to tenthousandths)
A Special Kind of Scientist . . . . . . 32
converting decimals to fractions
Leading the Way. . . . . . . . . . . . . 33
changing fractions to decimals
Celebrity Groundhog . . . . . . . . . 34
adding decimals
The Fourth of July . . . . . . . . . . . . 35
subtracting decimals
A Lady Doctor . . . . . . . . . . . . . . 36
multiplying decimals
Moonwalker . . . . . . . . . . . . . . . . 37
dividing decimals by whole numbers
The Game of Hoops . . . . . . . . . . 38
dividing decimals by decimals
A Great Discovery . . . . . . . . . . . . 39
dividing decimals by decimals
A Special Bear. . . . . . . . . . . . . . . 40
operations with decimals (word
problems)
Ladies First . . . . . . . . . . . . . . . . . 41
operations with decimals (review)
The Candy Bar Kid . . . . . . . . . . . 42
finding averages with decimals
A Small Place . . . . . . . . . . . . . . . 43
calculating money (word problems)
Sweet Success . . . . . . . . . . . . . . 44
Special Teacher, Special Student . 47
converting fractions to percents
Peanuts . . . . . . . . . . . . . . . . . . . 48
converting decimals to percents
Magic Math . . . . . . . . . . . . . . . . 49
identifying equivalent fractions,
decimals, and percents
Elementary, My Dear Watson . . . 50
finding the percent of a number
A Science Sleuth . . . . . . . . . . . . . 51
finding the percent of a number
Brrrr. . .
. . . . . . . . . . . . . . . . . . 52
finding the percent of a number (word
problems)
Rock and Roll . . . . . . . . . . . . . . . 53
finding the discount and sale price
The Fine Print . . . . . . . . . . . . . . . 54
finding sales tax
Anchors Away! . . . . . . . . . . . . . . 55
finding the unit price and better buy
An Old Story . . . . . . . . . . . . . . . 56
finding the percent
A Leader for Liberty . . . . . . . . . . 57
finding the number when a percent of
it is known
A Rare Mammal . . . . . . . . . . . . . 58
solving percent word problems
Answer Key . . . . . . . . . . . . . . . . 59
estimating with money
Going Up? . . . . . . . . . . . . . . . . 45
finding decimal patterns
Founder of the Girl Scouts. . . . . . 46
solving proportions
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Introduction
What This Book Contains
In our increasingly technological world,
mathematics is becoming more important
than ever. While much of the emphasis on
math instruction these days is on higher-level
skills, the basics are still crucial. After all,
without an understanding of the basics, there
can be little development of high-level
concepts and skills. Along with the basic
operations, mastery of fractions, decimals,
and percents is essential to achieving success
with advanced math.
The purpose of Practice, Practice, Practice!
Fractions & Decimals is threefold:
• To provide students with skills-based
reproducible activities that will help them
to master fractions, decimals, and percents.
• To provide students with activities that
adhere to the standards of the NCTM and
that serve as a springboard to mastery of
higher-level skills.
• To provide students with activities that are
motivating, challenging, and fun.
Date
Adding and
Subtracting
Simple Fractions
(Like Denominators)
Name
A Grand Old Tree
Name
living things on
Some of the oldest known
for
kind of tree can live
Earth are trees. One
the name of this tree?
5,000 years. What is
Answer:
1
2
5
7
1
13
2
3
1
3
4
9
1
12
2
3
5
6
3
5
,
7
15
5
6
1
2
3
17
2
3
1
5
2
5
+
2
7
3
7
R.
+
7
8
5
8
M.
−
8
9
4
9
T.
−
3
10
Y.
+
+
V.
+
2
3
2
3
7
12
7
12
H.
+
P.
+
5
6
5
6
11
14
9
14
C.
+
I.
−
3
4
3
4
11
12
5
12
3
5
3
5
1
4
1
10
B.
−
L.
−
7
8
1
8
8
9
5
9
Y.
1
6
×
3
5
=
2
9
35
9
35
1
4
4
9
A.
3
10
×
5
8
=
N.
3
5
×
5
9
=
I. 8 ×
U.
3
4
×
8
15
=
F.
Date
Moo
N. nwalker
11
12
3
16
1
3
3
20
3
16
3
20
=
1
4
S.
5
12
×
9
25
=
2
3
×
9
10
=
V.
12
25
×
15
24
=
Dividing Decimals
by Whole Numbers
1
In 1969, this
− 12American astronaut 4became
2
O. 5 × 56 =the first C.
to walk on the moon.
person
3 ×
What is this explore
r’s name?
7
10
=
R.
3
10
×
5
12
=
K.
10
21
×
14
15
=
4.6
15
16
=
E.
5
8
×
2
5
=
L.
6
21
×
9
10
=
Answer:
2.98
14
35.4
E. 6.3 15 4.2
4
− 15
67.2 0.486 0.92
M.
3
4
0.84 0.903 0.486 0.677
2.98
W. 23
× 12 =
To answer the question
, divide each problem.
Write the letter
of the problem in the
space above its answer.
(Some letters will
be used more than once.
Some letters will not
be used.)
20
3
10
7
10
Name
S.
2
3
To answer the question, multiply the fractions and write your answers
in simplest form. Write the letter of the problem in the space above
its answer. (Some letters will be used more than once. Some letters
will not be used.)
problem. Be
, add or subtract each
To answer the question
letter of the
simplified. Write the
sure your answers are
letters will
above its answer. (Some
problem in the space
be used.)
Some letters will not
be used more than once.
O.
Multiplying
Simple Fractions
Most hailstones are the size of small pebbles. On
September 3, 1970, though, a hailstone measuring
1
17 2 inches around fell on this Midwestern town.
What is the name of this town and state?
Answer:
3
4
Date
Monster Hailstone
This book contains 52 reproducible activities
that focus on fractions, decimals, and
percents. The activities, which address a
broad range of skills, progress from basic to
challenging and are designed to meet the
needs of math students in grades 4 through
8. The book begins with equivalent fractions
and continues through percents. Several
activities include word problems.
All of the activities are self-correcting.
Students are presented with a question at the
beginning of the activity, which they can
answer by correctly solving the problems of
the activity. For most of the activities, a few
problems that do not help to answer the
questions are included as a means of making
the activities more challenging. The questions
that begin the activities are derived from
various subjects, including geography, history,
science, ecology, and pop culture. Many of
the questions have a touch of trivia about
them, which, we have found over the years,
students enjoy. All of the questions are based
on fact.
An answer key is included at the end of
the book. It shows the answer to each
problem as well as the answers to the
puzzles.
T. 6 5.418
W. 8 73.84
R. 7 3.402
E. 6 212.4
×
21
S. 36 30.24
M. 63 57.96
N. 56 166.88
I. 92 579.6
U. 72 48.24
A. 83 5,577.6
B. 45 15.75
L. 97 407.4
G. 58 266.8
O. 48 32.496
C. 64 23.04
37
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
5
How to Use This Book
Each activity in this book stands alone and
may be used in a manner that best satisfies
the needs of your students. You may use the
activities in various ways: to supplement your
instruction, for reinforcement, for extra credit,
for challenges, or for substitute plans.
The activities are designed for easy
implementation. Each is reproducible, has
easy-to-follow instructions, and requires no
additional materials. You may encourage
students to use calculators for computation,
or you may instruct them to work the
problems out for practice.
While the titles of the activities are related
to the questions, each activity includes the
specific skill(s) the activity addresses at the
top of the page. These skills are also included
in the table of contents beneath the title.
Thus, the contents functions as a skills list,
making it easy for you to identify activities
that will be of most benefit to your students.
6
Connections to the NCTM
Standards
All of the activities in this book align with the
NCTM’s Principles and Standards for school
mathematics. The activities concentrate on
using fractions, decimals, and percents to
represent numbers, and encourage students
to recognize the relationships between these
numbers. The activities are designed to
promote the development of computational
skills, mathematical reasoning, and
estimation. The interpretation of fractions,
decimals, and percents in problem solving is
fostered throughout the book.
We trust that your students will enjoy
these activities, and that you will find the
activities to be a positive addition to your
math program. We wish you well in your
teaching.
Judith A. Muschla
Gary Robert Muschla
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Writing Equivalent
Fractions
Ships Ahoy!
The longest canal in the world is in the
Western Hemisphere. It is 2,400 feet long.
What is the name of this canal?
Answer:
6
10
.
5
4
3
1
12
8
14
2
16
7
13
9
15
11
To answer the question, match each fraction with an equivalent
fraction in the Answer Box. Then write the letter of each
equivalent fraction in the space above its problem number.
1
9
10
=
9
3
8
=
Answer Box
4
5
=
10
3
2
3
=
4
4
9
=
2
6
7
=
11
5
6
12
5
7
3
4
=
13
6
2
5
=
7
5
8
=
5
8
1
6
=
L.
15
20
A.
12
27
=
W.
12
32
Y.
15
18
=
T.
18
21
N.
3
18
E.
15
24
S.
21
24
W.
6
9
E.
12
15
5
12
=
14
1
2
=
A.
21
30
E.
10
14
15
7
10
=
A.
10
24
S.
10
25
R.
18
20
C.
50
100
16
7
8
=
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
7
Name
Date
Simplifying
Fractions
A Giant Dinosaur
Paleontologists believe that the biggest dinosaur
that ever lived measured about 120 feet (36 meters)
from head to tail and was about 18 feet (5.5 meters)
high. What is the name of this giant creature?
Answer:
4
8
3
1
10
6
12
2
11
5
9
7
To answer the question, simplify each fraction and find its
simplified form in the Answer Box. Then write the letter of each
simplified fraction in the space above its problem number. (Some
letters will be used more than once. Some letters will not be used.)
1
9
12
=
2
6
16
=
8
20
=
3
4
5
6
8
15
20
21
27
10
24
=
=
=
=
7
6
8
8
12
33
=
9
21
=
9
10
11
12
15
18
12
28
12
16
=
=
=
Answer Box
R.
7
9
A.
3
8
N.
6
14
M.
5
6
E.
4
11
T.
4
10
S.
3
4
U.
3
7
I.
2
5
O.
5
12
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Comparing
Fractions
New World Baby
The first English child born in America
was born on Roanoke Island in 1587.
What was the name of this child?
Answer:
V
1
2
3
4
5
6
7
8
9
10
11
12
To answer the question, find the fraction that makes each
comparison true. Then write the letter of each answer in the
space above its problem number. The first one is done for you.
1
2
3
4
5
8
7
10
2
3
1
6
1
4
>
5
3
5
=
9
3
4
=
10
16
1
4
4
5
6
9
12
15
15
25
10
16
9
12
12
20
S
V
T
H
U
I
B
D
U
>
6
4
7
<
10
1
2
>
3
5
7
8
6
7
7
8
1
3
2
9
5
7
7
8
4
11
I
H
W
N
O
C
M
Y
A
<
7
2
5
<
11
6
11
<
7
12
2
7
3
4
3
10
2
7
5
8
3
8
7
10
3
7
O
T
R
J
N
I
P
R
F
>
8
4
9
<
12
7
12
>
1
5
1
7
1
4
1
3
1
2
5
13
5
9
3
5
5
7
B
G
M
K
A
L
E
S
G
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
9
Name
Date
A Huge, Mysterious Life-form
Converting
Improper Fractions
to Mixed Numbers
Scientists discovered one of the biggest organisms
on Earth in the forests of eastern Oregon. It is
1
nearly 3 2 miles across. What is this organism?
Answer:
4
10
9
A
1
3
12
7
11
5
2
To answer the question above, convert each improper fraction
to a mixed number in the simplest form. Find each answer in
the Answer Box. Then write the corresponding letter in the
space above its problem number. (Not all letters will be used.)
The first one is done for you.
1
8
3
=
2
27
5
3
4
5
2
2
3
8
6
Answer Box
7
U. 1 12
T. 2
F. 2
D. 2
7
21
9
=
=
8
44
8
=
24
7
=
9
17
4
=
N. 3
14
3
=
10
38
4
=
A. 4
32
6
=
19
12
=
11
A. 2
B. 3
R. 3
I. 4
N. 5
G. 5
U. 5
6
56
6
=
12
22
10
=
S. 9
G. 9
10
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
1
5
1
3
2
5
2
3
1
5
1
3
3
7
1
4
2
3
1
3
2
5
1
2
1
3
1
2
Name
Date
Identifying Fraction
Patterns
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:
River,
1
11
16
20
4
8
2
5
16
20
1
81
1
16
1
81
3
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. (Some letters will
be used more than once. Some letters will not be used.)
1
2
3
4
5
1
2
, 4, 6,
2
3
1
2
,
1
5
, 7, 9,
1
2
, 4, 6,
1, 1
1
4, 3
E
,
,
I
1
3
2
3
1
2
5
3
1
3
2
1
2
7
1
8
, 13
R
5
,
6
, 10
9
B
,
9
, 10
A
,
2
2
3
10
3
4
,
1
3
, 9 , 27 ,
1
1
1
1
10 , 5
1
1
4
,
1
,
1
, 4, 9,
1
5
, 10 , 15 ,
,
D
2
3
4
1
N
3
, 10 ,
1
1
4
3
4
, 243
1
M
1
, 2
1
T
9
O
, 25
,
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
1
11
Name
Date
Adding and
Subtracting
Simple Fractions
(Like Denominators)
A Grand Old Tree
Some of the oldest known living things on
Earth are trees. One kind of tree can live for
5,000 years. What is the name of this tree?
Answer:
3
4
5
7
1
2
1 13
1 37
1
2
5
6
2
3
4
9
1
3
2
3
1 12
3
5
5
6
2
3
To answer the question, add or subtract each problem. Be
sure your answers are simplified. Write the letter of the
problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
+
1
5
2
5
+
2
3
2
3
+
7
12
7
12
O.
S.
V.
12
+
2
7
3
7
+
5
6
5
6
+
11
14
9
14
R.
H.
P.
−
7
8
5
8
+
3
4
3
4
−
11
12
5
12
M.
C.
I.
−
8
9
4
9
−
7
8
1
8
−
8
9
5
9
T.
B.
L.
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
+
3
10
7
10
−
11
12
1
12
−
14
15
4
15
Y.
N.
E.
Name
Date
Adding Simple
Fractions (Unlike
Denominators)
Go West!
The westernmost point of the United States is
located in Alaska on Attu Island. What is the
name of this place?
Answer:
1 12
1 25
1 38
7
1 10
1 29
11
15
1 25
1 16
1
7
5
5
1 12
1 10
1 12
1 12
To answer the question, add the fractions. Be sure all
answers are simplified. Write the letter of the problem in
the space above its answer. (Some letters will be used more
than once. Some letters will not be used.)
+
2
5
1
3
+
2
5
7
10
+
9
10
1
2
+
2
7
3
14
R.
M.
A.
T.
+
5
8
3
4
+
5
6
7
12
+
5
9
2
3
+
1
2
1
7
P.
L.
W.
H.
+
2
3
5
6
+
3
4
1
3
+
1
3
5
6
+
4
5
9
10
C.
G.
N.
E.
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
13
Name
Date
Subtracting Simple
Fractions (Unlike
Denominators)
An Early Astronomer
For most of history, Europeans believed that the sun,
planets, and stars revolved around Earth. This began
to change in the 1500s when a Polish astronomer
offered his theory that Earth revolves around the sun.
Who was this man?
Answer:
5
9
1
3
5
6
1
10
3
4
7
16
1
3
13
24
5
6
5
9
1
6
3
4
1
4
1
3
3
8
3
8
3
20
3
20
To answer the question, subtract the fractions. Be sure your answers are
simplified. Write the letter of the problem in the space above its answer.
(Some letters will be used more than once. Some letters will not be used.)
−
1
2
1
3
−
4
5
3
10
−
9
10
1
15
−
7
8
1
2
L.
B.
O.
U.
14
−
5
8
3
16
−
1
2
1
4
−
2
5
3
10
−
11
12
1
4
E.
A.
P.
J.
−
2
3
5
9
−
5
12
1
3
−
2
5
1
4
−
13
21
2
7
G.
T.
S.
C.
−
11
12
3
8
−
9
10
3
20
−
5
6
5
18
R.
I.
N.
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Going to the New World
Adding and
Subtracting
Mixed Numbers
(Like Denominators)
Christopher Columbus reached North America in
1492. But another man led a group of Europeans to
the coast of North America nearly 500 years earlier.
Who was this man?
Answer:
2 57
7 35
4 23
4 13
7 35
2 34
4 23
1 27
3 14
3 14
6 35
6
To answer the question, add or subtract the mixed numbers.
Be sure your answers are simplified. Write the letter of the
problem in the space above its answer. (Some letters will be
used more than once. Some letters will not be used.)
C.
4
− 3
3
7
1
7
M.
4
+ 2
3
8
1
8
H.
I.
7
6 12
7
+ 4 12
3
+ 1
1
3
1
3
R.
4
− 2
7
8
1
8
9
E. 12 10
8 16
9
− 5 16
O.
3
+ 3
2
5
1
5
F.
7
− 3
5
9
2
9
D.
5
+ 4
3
8
1
8
3
− 5 10
J.
5
− 3
5
6
A.
3
+ 3
3
4
1
4
13
S.
W.
5
− 2
6
7
3
7
N.
3
+ 2
1
3
2
3
L.
9 14
1
− 7 14
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
11
15
Name
Date
Adding Mixed
Numbers (Unlike
Denominators)
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
7
3
7
9
1
9 24
10 18
7 15
14 14 10 18
12 29 7 56 12 10
9 13 10 18
9 14
11 20
To answer the question, add the mixed numbers. Be sure
your answers are simplified. Write the letter of the problem
in the space above its answer. (One letter will be used more
than once. Some will not be used.)
E.
4
+ 3
1
3
1
2
V.
7
+ 4
5
9
2
3
S.
3
+ 5
1
2
5
6
B.
6
+ 2
2
3
5
8
Y.
14
3
+ 9 10
3
J.
5
+ 2
5
6
1
3
7
+ 3
5
8
1
2
T.
16
3
37
3
+ 6 14
M.
I.
2
+ 7
5
9
5
6
O.
4
+ 2
3
5
2
3
R.
4
1
2
4
5
+ 7
D.
7
4 12
2
+ 93
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Subtracting Mixed
Numbers (Unlike
Denominators)
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 12
5 56
4 13
4 13
1
4 24
3 34
1
3 10
4 78
3
5 10
5 78
4 79
To answer the question, subtract the mixed numbers.
Regroup if necessary and be sure all answers are simplified.
Write the letter of the problem in the space above its answer.
(Some letters will be used more than once. Some letters will
not be used.)
11 5
13
− 6 15
O. 12
− 8
2
3
5
8
7
− 4
S.
3
4
7
− 2
1
3
5
9
7
− 2
3
8
1
2
9
− 3
5
P.
C.
6 12
2
− 23
8
− 3
1
2
5
6
N.
T. 14
1
2
1
5
A.
− 9
1
6
3
4
E.
95
7
− 6 10
D.
8
− 2
4
R.
5
8
3
4
1
H.
1
I. 11 10
4
− 5 15
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
17
Name
Date
Adding and
Subtracting Simple
Fractions and Mixed
Numbers (Review)
Picture This
Throughout history people have invented different types
of writing. Some ancient people used pictures to represent
words or sounds. What is this type of writing called?
Answer:
7
10 15
2 78
29
30
1
2
5
5
3 12
8 24
3
20
9 38
7
7
4 11
24 10 15 2 8
5 38
2
3
To answer the question, add or subtract the simple fractions and
mixed numbers. Be sure your answers are simplified. Write the
letter of the problem in the space above its answer. (Some letters
will be used more than once. One letter will not be used.)
R.
+
C.
I.
3
+ 2
1
8
1
4
7
− 4
3
8
1
2
−
2
5
1
4
L.
18
1
10
2
5
O.
6
− 3
2
3
1
4
P.
9
− 4
1
3
7
8
+
1
6
4
5
E.
S.
7
− 6
1
3
6
+ 3
4
5
2
3
−
7
8
2
5
Y.
7
+ 1
3
4
5
8
G.
4
+ 3
5
6
3
8
H.
T.
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Adding and
Subtracting Mixed
Numbers (Review)
Bird-Watchers
Of all the birds in the world, only one species
can hover in one place. This bird can also fly
backward! What is the name of this bird?
Answer:
1
5 13
20 3 4
2 38
2 38
9
3
9 11
12 9 10 9 8
11
5
4 11
12 9 12 6 9
7
9 12
To answer the question, add or subtract the mixed numbers.
Be sure your answers are simplified. Write the letter of the
problem in the space above its answer. (Some letters will be
used more than once. Some letters will not be used.)
3
4
1
2
U.
6
− 3
M.
9
− 6
5
8
D.
5
+ 3
3
4
5
6
N.
6
+ 3
1
2
2
5
A.
8
− 6
2
3
1
4
R.
3
+ 2
8
9
2
3
I.
5
+ 4
1
6
3
4
G.
6
+ 2
3
4
5
8
H.
7
− 1
2
5
3
4
E.
9
− 6
5
8
1
4
P.
39
13
+ 2 18
B.
9
− 4
5
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
3
4
5
6
19
Name
Date
Adding and Subtracting Fractions and
Mixed Numbers
(Word Problems)
A Long Subway
With about 244 miles of track, this subway system
is the longest in the world. What is the name of
this subway system?
Answer:
1
8
3 56
1 14
1
8
8 13
2 18
To answer the question, solve each problem and write your answer
in the space provided. Be sure your answers are simplified. Write the
letters that follow each answer in the space above the answer. After
filling in the correct letters, you will have to reverse the letters. (Not
all sets of letters will be used, but one set of letters will be used twice.)
1
Last night Laura worked on her
homework for 12 hour and then stopped to
eat dinner. After dinner she worked on
homework another 34 hour. How long did
she spend on homework last night?
4
When David went fishing with his
father, he caught a 2 12 -pound bass. His
father caught a 3 78 -pound bass. How
much more did the bass David’s father
caught weigh?
GRE
AP
Mandy babysat for 3 12 hours on Friday
night and 4 56 hours on Saturday. How
many hours did she babysit this weekend?
Jamal jogged 1 12 miles on Tuesday and
2 13 miles on Wednesday. What is the total
distance he jogged on these two days?
NOD
OR
2
3
The hiking trail in Harris Valley Park is
3
2 8 miles long. The hiking trail in Weaver’s
Pond Park is 4 12 miles long. How much
longer is the trail in Weaver’s Pond Park
than the trail in Harris Valley Park?
5
On Saturday Jamal jogged 2 12 miles
and on Sunday he jogged 3 18 miles. Tom
jogged 5 34 miles on Sunday. Which boy
jogged farther this weekend? By how
much? (Write only the distance in the
space provided for your answer.)
6
NOL
DNU
20
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Multiplying
Simple Fractions
Monster Hailstone
Most hailstones are the size of small pebbles. On
September 3, 1970, though, a hailstone measuring
1
17 2 inches around fell on this Midwestern town.
What is the name of this town and state?
Answer:
,
7
15
2
3
3
5
3
5
1
4
1
10
3
10
2
9
35
9
35
1
4
4
9
3
16
1
3
3
20
3
16
3
20
To answer the question, multiply the fractions and write your answers
in simplest form. Write the letter of the problem in the space above
its answer. (Some letters will be used more than once. Some letters
will not be used.)
Y.
1
6
×
3
5
=
N.
3
5
×
5
9
=
I. 8 ×
=
S.
5
12
×
9
25
=
A.
3
10
×
5
8
=
U.
3
4
×
8
15
=
F.
2
3
×
9
10
=
V.
12
25
×
15
24
=
O.
4
5
×
5
6
=
C.
2
3
×
7
10
=
R.
3
10
×
5
12
=
K.
10
21
×
14
15
=
M.
3
4
× 12 =
W.
2
3
×
15
16
=
E.
5
8
×
2
5
=
L.
6
21
×
9
10
=
1
4
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
21
Name
Date
Multiplying
Mixed Numbers
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:
.
6
1
2
10
1
2
8
1
3
8
1
3
5
1
4
9
1
2
10
1
2
3 12
2 14
8 13
6 12 10 12 3 89
To answer the question, multiply the mixed numbers.
Be sure each answer is simplified. Write the letter of the
problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
N. 2
1
3
×1
2
3
=
T. 4 × 2
S. 4
2
5
×3
3
4
=
L. 1
1
4
×1
2
5
G. 3
1
4
×2=
H. 1
1
3
×1
O. 1
1
2
×1
J. 3
1
3
×1
22
1
2
=
3
8
=
R. 3
3
4
×2
2
9
=
=
A. 2
1
3
×4
1
2
=
1
2
=
M. 1
1
2
×2
1
3
=
3
4
=
E. 4
3
8
×1
1
5
=
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Dividing
Simple Fractions
The Little Dinosaur
When most people think of dinosaurs, they think
big. But there were small dinosaurs, too, the smallest
being about the size of a chicken. What is the name
of this little dinosaur?
Answer:
3
4
1 18
7
8
1 13
4
5
1 18
5
6
1 34
1 14
2
3
2
7
1
1 15
4
5
To answer the question, divide the fractions. Be sure your
answers are simplified. Write the letter of the problem in
the space above its answer. (Some letters will be used more
than once. Some will not be used.)
M.
5
8
÷
5
7
=
G.
5
9
÷
2
3
=
H.
6
7
÷3=
N.
7
8
÷
1
2
=
R.
7
8
÷
3
4
=
A.
5
6
÷
2
3
=
W.
3
4
÷
1
5
=
P.
3
4
÷
9
16
=
T.
4
9
÷
2
3
=
I.
3
4
÷
5
8
=
C.
3
10
÷
2
5
=
B. 2 ÷
U.
2
5
÷
3
8
=
L.
9
16
÷
1
4
=
S.
2
3
÷
5
6
=
O.
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
3
4
÷
=
4
5
2
3
=
23
Name
Date
Dividing
Mixed Numbers
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 14
3 16
2 49
2 57
2 34
1 14
1 34
3
2 20
2 34
1 37
2 12
4 23
To answer the question, divide the mixed numbers. Be sure
your answers are simplified. Write the letter of the problem
in the space above its answer. (Some letters will be used
more than once. Some letters will not be used.)
H. 9
1
2
÷3
1
2
=
M. 2
1
2
÷1
3
4
=
S. 17
T. 7
1
3
÷2
2
5
=
D. 5
5
6
÷3
1
3
=
E. 6
1
4
÷2
1
2
=
I. 6
1
3
÷2=
J. 5
3
8
÷2
1
2
=
A. 3
2
3
÷1
R. 6
2
3
÷5
1
3
=
Y. 11
C. 5
24
1
2
1
4
÷1
÷2
1
4
=
4
5
=
1
3
=
1
2
÷3
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
=
3
4
Name
Date
Multiplying and
Dividing Mixed
Numbers (Review)
A Big Eruption
In Italy in the year A.D. 79, a volcano erupted, burying
the towns of Pompeii and Herculaneum beneath 20 feet
of ash and lava. Thousands of people were killed. What
is the name of this volcano, which remains active today?
Answer:
3 35 12 23 6 37
9 23
1
1 21
8 45
1 34
1 13
6 37
8 45 10 12 6 37
1 13
To answer the question, multiply or divide the mixed numbers.
Be sure your answers are simplified. Write the letter of the
problem in the space above its answer. (Some letters will be
used more than once. Some letters will not be used.)
I. 4
1
2
×2
N. 4
5
6
×2=
C. 5
5
6
÷1
1
4
R. 3
1
2
÷1
3
4
1
3
=
D. 1
1
4
×3
1
3
=
M. 12 ÷ 3
U. 2
1
2
×2
4
7
=
E. 5
1
4
÷3=
=
O. 2
5
7
×4
2
3
=
T. 2
1
5
1
÷ 2 10
=
=
S. 3
5
9
÷2
2
3
=
V. 3
1
5
×2
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
=
1
3
3
4
=
25
Name
Date
Multiplying
and Dividing
Mixed Numbers
(Word Problems)
Compute This
The computers we use today are much, much faster
than the first electronic computer, which was built
in 1945. While that computer could do 5,000
calculations per second, an average computer
today can do 500 million. That first computer was
a lot bigger, too, weighing more than 30 tons and
filling an 1,800-square-foot room. What was the
name given to the first electronic computer?
Answer:
33 8 34
5
2 13
16
To answer the question, solve each problem. Write your
answers in the spaces provided. Be sure your answers are
simplified. Then write the letter that follows each answer
in the space above the answer. (Not all letters will be used.)
1
A box of cereal contains 20 ounces.
How many 1 14 -ounce servings are in the
box?
C
Jason had 1 34 cups of flour, but the
recipe for a cake he was baking called for
1 13 times this amount. How many cups of
flour did the recipe require?
4
A
2
3
4
For exercise, Mr. Harris walked 1
miles 5 times last week. How many miles
did he walk in all?
Cassie jogs 5 12 miles each week. How
many miles does she jog in 1 12 months?
5
N
3
Marielle volunteered to help make
costumes for her school play. She was
given the task of cutting a roll of ribbon
into 5 13 -inch lengths. These small ribbons
would then be made into bows. How
many bows could be made from a roll of
ribbon 192 inches long?
E
6
Todd and three of his football player
friends have big appetites. They bought
2 12 pizzas. Each pizza was cut into 8 equal
slices. How many slices did each boy eat if
the boys ate the same number of slices,
and they ate all of the pies?
S
26
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
I
Name
Date
Using Four
Operations with
Fractions and Mixed
Numbers (Review)
What’s on TV?
While many people contributed to the invention of the
television, most authorities consider this radio engineer to
be the principal inventor of TV. What was this man’s name?
Answer:
3
5
12
6 23
17
24
6
1
1
1 15
6 24
4 78
6
7
5
6
1
2
5
6
10 12
1
1 15
10 12
3
5
3 34
6
7
5
6
1
1 15
6
To answer the question, perform the indicated operation. Be sure
your answers are simplified. Write the letter of the problem in
the space above its answer. (Some letters will be used more than
once. One letter will not be used.)
I.
+
M.
2
+ 2
W.
−
1
12
5
8
3
4
1
6
4
5
3
10
N.
9
− 3
7
8
5
6
A.
9
10
×
2
3
=
P. 2
2
9
×3=
T.
3
+ 6
2
3
5
6
L.
3
5
÷
7
10
=
F. 3
3
4
×3
1
5
=
7
− 2
3
8
1
2
O. 4
2
3
÷5
3
5
=
Y. 3
1
8
×1
1
5
=
S.
H. 1 ÷
R. 2
2
5
1
6
=
÷2
1
4
=
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
27
Name
Date
Finding Place Value
(to TenThousandths)
Showtime!
This city is home to the first movie theater to
open in the U.S. What is the name of this city?
Answer:
9
I
4
5
5
3
1
2
6
0
8
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. (One letter will be used more than once. One
letter will not be used.) The first one is done for you.
I. 0.643
4
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
thousandths
T. 651.034
tens
H. 59.0684
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
hundredths
2
0.04895
ten-thousandths
3
0.62015
thousandths
4
612.593
tenths
28
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Comparing
Decimals
Look to the East!
The easternmost point in the
United States is located in Maine.
What is the name of this place?
Answer:
9
11
2
5
10
1
6
13
4
8
14
7
3
12
To answer the question, use the signs > (greater than), < (less than), or =
(equals) 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
5
6
7
8
0.45
0.5
N
U
0.37
9
S
0.295
I
2.965
2.99
10
R
A
15.40
15.042
D
H
0.075
0.0740
T
M
0.8009
0.81
L
O
7.601
7.6010
C
K
11
12
13
14
12.54
12.539
Y
T
4.781
4.7672
W
G
1.904
19.03
V
Q
0.004
0.00400
J
P
0.0530
0.04
D
S
11.642
11.75
K
D
23.6404
23.64112
M
H
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
29
Name
Date
Let’s Go to a Movie
Ordering Decimals
The first “real” movie was produced in
1903. What was the name of this movie?
Answer:
THE
1
2
3
4
5
6
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 is done for you.
1 H.
1.010
T. 1.001
2 R.
3
4.245
T. 0.854
T. 1.001
E. 1.101
H. 1.010
E. 1.101
E. 4.25
G. 4.205
A. 0.853
T. 0.8539
4 A.
0.0082
R. 0.00802
I. 0.0820
5 O.
17.1020
R. 17.1002
N. 17.013
B. 17.120
E. 2.03254
B. 2.00325
Y. 2.3253
R. 2.325
6
30
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Rounding Decimals
(to TenThousandths)
An Old City
The oldest city in the U.S. was founded by the Spanish
in Florida in 1565. What is the name of this city?
Answer:
7
4
11
9
3
13
5
8
6
1
14
2
12
10
To answer the question, round each decimal to the given place. For each
problem, three possible answers are provided. Circle each correct answer,
then write the letter of the answer in the space above its problem number.
1
Round 0.584 to the nearest tenth.
R. 0.684
2
T. 4.750
M. 0.073
U. 0.7048 D. 0.705
6
A. 0.06
11
I. 0.70479
I. 6.3872 M. 6.38704
N. 297.04
S. 297.043
A. 63.302 L. 63.301 T. 63.3016
14
I. 0.05
Round 29.546 to the nearest whole
number.
T. 30
P. 30.5
Round 3,874.00482 to the nearest thousandth.
L. 3,874.00582
8
E. 27
Round 63.30156 to the nearest
thousandth.
R. 29.5
7
S. 27.1
Round 297.0432 to the nearest
hundredth.
R. 300
13
N. 4.0
Round 6.38724 to the nearest tenthousandth.
O. 6.3900
12
K. 3.9
Round 27.086 to the nearest whole
number.
Y. 27.09
L. 0.0730
Round 0.0562 to the nearest tenth.
U. 0.1
10
R. 4.75
Round 0.704788 to the nearest tenthousandth.
Round 3.956 to the nearest tenth.
H. 4.056
I. 6.04
Round 0.0726 to the nearest
hundredth.
A. 0.07
5
G. 6.049
Round 4.7503 to the nearest
thousandth.
E. 4.800
4
T. 0.59
Round 6.0392 to the nearest
hundredth.
U. 7.00
3
S. 0.6
9
M. 4,000
S. 3,874.005
Round 12.407992 to the nearest ten-thousandth.
J. 12.4079
S. 12.408092
G. 12.4080
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
31
Name
Date
Converting
Decimals to
Fractions
A Special Kind of Scientist
Scientists who study birds are called
ornithologists. Scientists who study insects
are known as entomologists. What are
scientists who study reptiles called?
Answer:
6
9
3
12
1
10
5
8
4
14
2
11
13
7
To answer the question, match each decimal with its
equivalent fraction in the Answer Box. Write the letter
of the fraction in the space above the problem number.
(Note: Fractions are in simplest form.)
1
2
0.3
1.29
=
=
8
9
4.7
0.59
=
=
Answer Box
O.
9
1,000
3
0.2
=
10
5.45
=
4
6.7
=
11
0.05
=
T.
3
100
=
P.
7
8
E.
3
10
5
6
7
32
0.009
5.75
0.50
=
12
=
13
=
14
0.875
0.030
0.22
=
=
7
L. 4 10
H. 5
E.
R.
1
5
S.
1
2
29
I. 1 100
G.
3
4
59
100
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
11
50
9
T. 5 20
7
O. 6 10
S.
1
20
Name
Date
Changing Fractions
to Decimals
Leading the Way
This woman led the struggle to
gain the right for women to vote,
which finally became law with
passage of the 19th Amendment
(August 26, 1920). Who was she?
Answer:
12
8
4
11
3
10
7
1
13
6
5
2
.
9
To answer the question, match each fraction with its
equivalent decimal in the Answer Box. Write the letter
of the decimal in the space above the problem number.
1
5
4
=
2
2
5
=
3
7
10
=
4
3
8
=
5
7
5
=
6
11
8
=
7
37
100
1
8
1
8
9
7
25
10
15
50
11
5
16
12
86
200
13 1
7
100
=
=
=
=
=
=
Answer Box
O. 1.375
U. 0.125
N. 1.7
S. 0.375
A. 0.3
N. 0.4
A. 0.3125
S. 0.43
T. 1.25
B. 1.4
N. 0.37
Y. 0.28
=
H. 1.07
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
33
Name
Date
Celebrity Groundhog
Adding Decimals
Every year on February 2, a famous groundhog
who lives in Pennsylvania offers his prediction
as to how long the winter will last. If he sees his
shadow, the winter is supposed to last six more
weeks. What is the name of this weatherforecasting groundhog?
Answer:
10.706 13.17
757.7
17.08
10.706 11.819 12.75
1.281
5.17
13.17 7.8959 1.138
9.26
757.7
88.97
5.54
To answer the question, add the decimals. Write the letter of
each problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
A.
0.263
+ 0.875
E.
36.88
+ 52.09
S.
1.63
+ 3.54
M.
1.37
+ 6.39
L.
0.496
+ 0.785
C.
52.91
+ 72.68
N.
748.2
+
9.5
W.
2.96
+ 6.30
B. 2.95 + 16.3 =
U. 2.09 + 3.08 + 8 =
X. 9.48 + 7.6 =
H. 3.859 + 4.96 + 3 =
T. 5.6421 + 2.2538 =
P. 6.38 + 3.9 + 0.426 =
Y. 2.5 + 3.04 =
I. 4.95 + 6 + 1.8 =
34
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Subtracting
Decimals
The Fourth of July
Three American presidents died on the
Fourth of July. One was John Adams
and another was James Monroe. What
was the name of the other president?
Answer:
2.376
0.009 39.799
20.789 6.7737
1.28
3.88
29.65
67.5
1.28
6.7737
11.1
67.5
39.799 30.51
To answer the question, subtract the decimals. Write the letter
of each problem in the space above its answer. (Some letters
will be used more than once. Some letters will not be used.)
R.
23.4
− 12.3
G.
3.049
− 2.489
M.
5.48
− 1.60
D.
0.821
− 0.158
A.
101.48
− 71.83
S.
900.4
− 832.9
L.
0.525
− 0.139
E.
9.2160
− 2.4423
N. 33.4 – 2.89 =
J. 40.29 – 19.501 =
C. 15.6 – 14.8 =
F. 9.1 – 7.82 =
K. 8 – 6.52 =
O. 79.497 – 39.698 =
T. 8.02 – 5.644 =
H. 0.4 – 0.391 =
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
35
Name
Date
Multiplying
Decimals
A Lady Doctor
The first woman medical doctor in
the U.S. received her degree in 1849.
What was her name?
Answer:
0.35867 4.7613
46.250
333.27
3.577
6.1336 0.35867
34.78
2,359.6
6.1336
3.577
45.064
41.89
1.25256 0.35867 4.7613
4.7613
4.7613
To answer the question, multiply the decimals. Write the letter
of each problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
T.
3.7
× 9.4
I.
62.5
× 0.74
E. 0.089
× 4.03
U.
3.5
× 87
R.
0.25
× 28
B.
9.02
× 0.68
A.
0.49
× 7.3
Z.
48.3
× 6.9
C.
5.24
× 8.6
D.
5.3
× 27
H.
347
× 6.8
K.
7.1
× 5.9
S.
4.46
× 6.7
L.
8.07
× 0.59
36
W. 0.307
× 4.08
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Dividing Decimals
by Whole Numbers
Moonwalker
In 1969, this American astronaut became the first person
to walk on the moon. What is this explorer’s name?
Answer:
2.98
35.4
6.3
4.2
67.2 0.486 0.92
0.84 0.903 0.486 0.677 2.98
4.6
To answer the question, divide each problem. Write the letter
of the problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
T. 6 5.418
S. 36 30.24
M. 63 57.96
N. 56 166.88
W. 8 73.84
I. 92 579.6
U. 72 48.24
A. 83 5,577.6
R. 7 3.402
B. 45 15.75
G. 58 266.8
O. 48 32.496
E. 6 212.4
L. 97 407.4
C. 64 23.04
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
37
Name
Date
Dividing Decimals
by Decimals
The Game of Hoops
Basketball was invented in Springfield, Massachusetts,
in 1891. Although peach baskets and a soccer ball were
used instead of the modern rim and ball, most of the
original rules of the game have not changed. Who
invented the game of basketball?
Answer:
9.6
0.76
7.6
2.5
103.1
23.4
0.76 0.302 103.1
7.6
0.302 0.77
6.8
To answer the question, divide each problem. Write the letter
of the problem in the space above its answer. (Some letters
will be used more than once. Some letters will not be used.)
T. 0.2 0.154
N. 0.07 1.638
E. 6.1 15.25
J. 0.63 6.048
R. 0.9 4.86
O. 0.06 0.4488
P. 0.47 2.773
A. 0.86 0.6536
M. 0.8 6.08
S. 0.005 0.5155
I. 7.5 2.265
H. 0.054 0.3672
38
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Dividing Decimals
by Decimals
A Great Discovery
Before the discovery of antibiotics, doctors had
little hope of curing serious infections. Penicillin,
one of the most important antibiotics, was
discovered in 1928. Who discovered penicillin?
Answer:
90
50
3.52
1.4
90
260 21.25 3.52
1.88
50
3.52
35
24
260
1.5
54
To answer the question, divide the decimals. Write the letter
of the problem in the space above its answer. (Some letters
will be used more than once. One letter will not be used.)
N. 0.12 31.2
R. 3.2 4.8
S. 0.56 11.2
L.
M. 0.42 14.7
E. 1.5 5.28
X. 0.75 1.05
A. 0.0029 0.261
I. 0.35 8.4
F. 2.5 4.7
D. 0.32 6.8
G. 0.0035 0.189
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
0.088 4.4
39
Name
Date
Operations
with Decimals
(Word Problems)
A Special Bear
A. A. Milne is famous for creating Winnie the Pooh.
What do the initials A. A. stand for?
Answer:
78.66
1.85
130.7
13.07
13.07
1,177.2
26.2
1,177.2
1,177.2 943.92
1.85
26.2
1,177.2
To answer the question, solve the problems. Write each answer on the space
provided. Then write the letter that follows in the space above its answer. You
will need to reverse the letters (and names) when you are done. (Some letters
will be used more than once. Dollar signs are not included with the answers.)
1
Last season, Paulo’s best time for
running the 100-meter dash was 14.3
seconds. This season, his best time had
improved to 12.45 seconds. By how much
did his time improve?
E
2
In the county track meet, Paulo’s
time for running the 100-meter dash
was 12.5 seconds. Martin’s time was
0.57 seconds slower. What was
Martin’s time?
3
When Ashley bought her car,
the odometer read 52,476.1 miles.
After one week, the odometer read
52,606.8 miles. How far did Ashley
drive that week?
D
Ashley recorded the amount of gas she
bought each time she filled the tank.
During the first month, she filled the tank
four times: 10.2 gallons, 9.7 gallons, 11
gallons, and 10.5 gallons. Gasoline costs
40
R
Assuming Ashley’s mileage stayed the
same and there was no change in the cost
of gas each month, how much could she
expect to pay for
gas for the year?
X
5
N
4
$1.90 per gallon. How much did she pay
for gas that month?
When the Smiths drove to the
mountains for their vacation last summer,
they kept a record of the distance they
traveled. The first day they drove 282.8
miles and the second day they drove
267.9 miles. On their return trip they
visited a museum, which required them to
drive an additional 75.8 miles. Assuming
they took the same roads home, how far
did they drive in all?
A
They used 45 gallons of gas. How many
miles per gallon did they average?
(Round your answer
to the nearest tenth.)
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
L
Name
Date
Operations
with Decimals
(Review)
Ladies First
On June 16, 1963, this Russian cosmonaut
became the first woman to travel in space.
What is her name?
Answer:
0.64
0.35
0.28
191.43 10.56
10.25
37.17
10.56
0.35
10.25 191.43 72.39 191.43 83.93
35.59
1.05
2.53
0.64
0.35
To answer the question, solve each problem. Write the letter of
the problem in the space above its answer. Round your answers
to the nearest hundredth. (Some letters will be used more than
once. Some letters will not be used.)
T.
9.42
+ 0.83
R.
84
− 11.61
S. 0.23 + 4.7 + 79 =
M. 92.1 − 7.63 =
I.
6.3
× 5.9
D.
0.32
× 8.2
L. 36 10.08
V.
A. 7.4 2.59
O. 3.3 8.349
93 59.52
H.
65.9
× 0.54
U. 0.408
× 0.67
K. 0.76 0.798
E. 0.042 8.04
C. 0.56 11.2
N. 0.045 0.475
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
41
Name
Date
Finding Averages
with Decimals
The Candy Bar Kid
The Baby Ruth candy bar was named
in honor of a president’s daughter.
Who was the president?
Answer:
91.67 0.23
8.95 17.16 18.82 12.74 3.89 17.16
3.89 12.74 3.89
0.23 29.14 22.24 16.25
To answer the question, find the averages of the following
sets of numbers. Write the letter of the problem in the space
above its answer. Round your answers to the nearest
hundredth. (Dollar signs are not included with the answers.)
O. 27.4, 6.26, 39.2, 2.4
C. Teri had the following quiz grades in math:
91, 96, and 88. What is her average quiz
grade for math?
A. 3.4, 72.1, 28.04, 13
V. In his last five races, George’s times (in
E. 8, 0.04, 7.5, 0.006
N. 14.3, 6.9, 38.27, 19.7, 32.01
R. 3.5, 67.24, 8.5, 0.49, 6.074
L. 0.74, 0.206, 0.0042, 0.0109, 0.2
seconds) for the 100-meter dash were 12.7,
12.49, 13.01, 12.52, and 13. What was his
average time for these races?
G. In the gymnastics meet, Su Lee scored 9.0,
9.2, 8.9, and 8.8. The highest and lowest
are scores not counted. The two middle
scores are averaged for the contestant’s
overall score. What was Su Lee’s score?
D. Alyssa earns $6.50 an hour for babysitting.
She babysat 3.5 hours on Friday night, 3
hours on Saturday, and 1 hour on Sunday.
What was her average earnings per day?
42
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Calculating Money
(Word Problems)
A Small Place
The world’s smallest independent state is less than
0.2 square mile in area and has a population of
less than 1,000. What is the name of this place?
Answer:
$1.13
$79.94 $12.99
$3.87 $59.99
$87
$87
$59.99
$12.99 $3.87
$6.75
To answer the question, solve the problems. Write each
answer in the space provided. Then write the letter of the
problem in the space above its answer. When you are done,
reverse the letters. (Some letters will be used more than once.)
1
For lunch Will bought a hamburger for
$1.59, a bottle of spring water for $1.29,
and a small salad for $0.99. What was the
cost of his lunch?
4
Alphonso works part-time in his
uncle’s store. Last week he was paid
$87.75 for working 13 hours. How much
is he paid per hour?
A
He paid with a $5 bill. How much change
should he have received?
N
V
5
Rachel bought new jeans for $49.95
and a new purse for $29.99. What is the
cost of these items?
Y
2
Erin bought two CDs. One cost $14.95.
She paid for both CDs with a $20 bill and
a $10 bill. She received $2.06 in change.
What was the cost of the second CD?
T
On the same day she returned a blouse
and received a store credit for $19.95. She
used this credit to help pay for the jeans
and purse. How much did she then have
to pay for the jeans and purse?
3
Sara works part-time in a veterinarian’s
office after school 3 days per week for 3
hours each day. On Saturday afternoon she
works 3 more hours. She earns $7.25 per
hour. How much money does she earn
each week?
C
I
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
43
Name
Date
Estimating
with Money
Sweet Success
In 1923, Frank C. Mars created a candy bar that remains
a favorite today. What is the name of this candy bar?
Answer:
12
11.75 107.89
80
120
20
110
120
To answer the question, first estimate the answers to the problems to
the nearest $10, then solve them. Write your answers in the spaces
provided. Then write the letter that follows each answer in the space
above the answer. (Not all letters will be used. One letter will be used
more than once. Dollar signs are not included with the answers.)
1
Lisa bought a pair of sneakers for
$59.95, a sweater for $29.95, and gloves for
$17.99. How much will these items cost?
Estimate =
A
Exact Amount =
L
2
Vanessa earns $8.80 babysitting each
week. For doing chores around the house,
her mother gives her an allowance of $12
per week. If Vanessa saves all of her
allowance and babysitting money, how
much money will she have at the end of
the month?
Estimate =
K
Exact Amount =
R
3
Juan received $100 from his parents for
his birthday. He would like to buy a new
portable CD player for $59.95, three new
CDs for $11.95 each, and a new
printer for his computer for $129.95. How
much money will he need to add to his
$100 gift in order to buy these items?
Estimate =
Terence earned $67.50 from his parttime job and another $25 for cleaning out
Mr. Jackson’s garage. He plans to buy a
movie ticket for $6.95, a new tennis
racquet for $39.95, and a birthday gift for
his mother for $29.95. After buying these
items, how much money will Terence
have left?
Estimate =
W
Exact Amount =
G
5
Matt wants to buy a new mountain
bike for $495.99. He has $143.45 saved
and earns $45 each week at his part-time
job. Assuming he uses his savings and
that he can save $30 each week from his
job, how many weeks will it take for him
to save enough to buy the bike? (Round
your answer to the nearest hundredth.)
Estimate =
M
Exact Amount =
Y
Exact Amount =
44
4
O
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
I
Name
Date
Finding Decimal
Patterns
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
0.025
2.25
2
0.125
0.3
1.75
0.6
0.5
12.5
1.75
0.3
0.16
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 above the decimal. (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
0.1, 0.1, 0.2,
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,
, 0.5
11
0.01, 0.04, 0.09,
,0
12
1.0, 0.5, 0.25,
, 0.8
V
T
S
L
A
R
, 62.5
E
, 0.00625
G
,2
P
H
O
I
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
, 0.625
, 0.25
, 0.0625
45
Name
Date
Solving
Proportions
Founder of the Girl Scouts
The Girl Scouts was founded in
Savannah, Georgia. Who was the
founder of the Girl Scouts?
Answer:
4
12
8
7
5
36
21
24
9
3
24
18
36
5
8
24
15
To answer the question, solve each proportion. Write the letter
of the problem in the space above its answer. (Some letters will
be used more than once. Some letters will not be used.)
R.
12
5
9
N.
= 18
M.
= 10
E.
1
3
=
D.
6
9
=
W.
5
8
=
24
4 =
14
I.
3
4
U.
=
2
16
12 = 24
4
L.
S.
15 =
18
12 =
30
5
J.
8
9
=
G.
8
7
= 24
54
T.
9 = 27
12
O.
3 =
88
11
24
4
5
C.
15
2
36 =
45
To find the year the Girl Scouts was founded, circle
the correct proportion below. The correct date follows it.
6
9
46
=
10
18
1915
8
12
=
20
36
1919
15
40
=
9
24
1912
10
15
=
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
3
5
1921
Name
Date
Special Teacher, Special Student
Converting
Fractions to
Percents
When she was a young child, a serious illness caused
Helen Keller to become blind and deaf. With the
help of a teacher, she learned to read, write, and
speak. What was the name of this teacher?
Answer:
40%
12.5%
50%
40%
12.5%
125%
125%
17%
31.25% 31.25%
12.5%
32%
25%
90%
32%
31.25%
90%
105%
40%
12.5%
23%
To answer the question, convert each fraction to its
equivalent percent. Write the letter of each problem
in the space above its answer. (Some letters will be
used more than once. Some letters will not be used.)
D.
23
100
=
V.
R.
7
100
=
W.
M.
1
2
=
I.
9
10
H.
5
=
1 100
17
50
=
S.
5
4
=
=
U.
34
200
=
9
100
=
J.
3
=
1 10
F.
1
4
=
N.
1
8
=
T.
5
=
1 10
A.
16
40
=
E.
8
25
=
L.
5
16
=
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
47
Name
Date
Converting
Decimals to
Percents
Peanuts
This African-American agricultural
researcher discovered over 300 uses
for the peanut. What was his name?
Answer:
12.5% 375%
50%
3%
110%
75%
10% 37.5% 20%
8%
60%
75%
3%
3%
120% 375%
12.5% 375%
12.5% 245%
50%
8%
To answer the question, convert each decimal to its
equivalent percent. Write the letter of the each problem
in the space above its answer. (Some letters will be used
more than once. Some letters 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 =
48
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Identifying
Equivalent
Fractions, Decimals,
and Percents
Magic Math
J.R.R. Tolkien was a British author who wrote
about a world of magic populated by hobbits,
elves, dwarves, and other fantastic creatures.
Many people know that he wrote The Hobbit and
the Lord of the Rings trilogy, but not many know
his full name. What do the initials J.R.R. stand for?
Answer:
0.125 33
1
3
% 0.325 33
16.6
% 0.125
23%
1
1
3
1
5
%
3
4
1
10
3
4
1
1
5
1
4
1
10
1
1 20
To answer the question, match each fraction, decimal, or
percent with its equivalent in the Answer Box. Then write
the letter of each problem in the space above its answer.
When you are done, reverse the letters. (Some letters will
be used more than once. Some letters will not be used.)
A. 0.23 =
S.
3
100
=
1
2
U. 32
%
H. 0.25 =
G.
3
5
=
R. 75% =
L.
1
8
=
T. 1 =
M. 0.835 =
=
Answer Box
O. 10% =
0.95
B. 95% =
1 20
Y. 4% =
N. 120% =
E. 0.3 =
J. 1.05 =
D.
1
6
=
1
1
4
16.6
%
83.5%
0.03
0.325
1
1
25
33 3 %
0.125
23%
60%
1
10
1
3
4
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
1
5
100%
49
Name
Date
Elementary, My Dear Watson
Finding the Percent
of a Number
“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
83.6
20.16
57.6
195
57.6
381.9
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. (Some letters
will be used more than once. Some letters 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 =
50
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Finding the Percent
of a Number
A Science Sleuth
This famous French chemist and
biologist proved that germs cause
disease. What was his name?
Answer:
280
45
15.75
90
12.96
81
5.4
7.36
5.4
49.95 15.75
6.63
To answer the question, find the percent of each
number. Write the letter of each problem in the
space above its answer. (Some letters will be used
more than once. Some letters will not be used.)
A. 25% of 324 =
I. 125% of 72 =
J. 15% of 255 =
S. 7.5% of 72 =
O. 60% of 75 =
U. 10.5% of 150 =
T. 8% of 92 =
L. 175% of 160 =
R. 8.5% of 78 =
P. 20.25% of 64 =
M. 6.25% of 96 =
E. 33.3% of 150 =
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
51
Name
Date
Finding the Percent
of a Number
(Word Problems)
Brrrr . . .
A record low temperature of −80° Fahrenheit (−62° Celsius)
was reached in Alaska on January 23, 1971. What was the
name of the place where this temperature was recorded?
Answer:
2,163
42
2,040
299
2,163 2,180
48
26
48
42
2,180 2,180
22
To answer the question, solve the problems. Write your answers in
the spaces provided after the problems. Then write the letter that
follows in the space above its answer. (Some letters will be used
more than once. Dollar signs are not included with the answers.)
1
During a flu outbreak at East Point
School, 25% of the seventh-grade class
was absent. There are 104 students in the
class. How many students
were absent?
T
5
To help him achieve his ideal weight,
Mr. Martino’s doctor suggested that he
reduce his intake of calories each day by
20%. If Mr. Martino’s daily calorie intake
is 2,550, how many calories could he still
consume each day?
O
2
Of the 460 students that attend
Vossler Middle School, 65% participate
in after-school activities. How many
students take part
in these activities?
6
S
Anita earns $56 per week at a parttime job. She saves 25% of her earnings
each week. How much
can she spend?
R
3
Tyrell got 88% of the problems on
his math test correct. The test had a
total of 25 problems. How
many problems did
he get correct?
7
K
4
Over the past three years, Ryan’s
basketball team has won 75% of their
games. They played a total of 64 games.
How many games
did they win?
52
Of the 3,605 coins in Mrs. Peterson’s
collection, 40% were minted before 1930.
How many coins are
dated 1930 and after?
P
8
C
Tara’s class hoped to raise $2,000
through fund-raisers to help pay for
their class trip. They actually raised
109% of their goal. How much money
did they raise
for their trip?
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
E
Name
Date
Finding the
Discount and
Sale Price
Rock and Roll
Most pop music experts feel that the style of music known
as rock and roll began in 1955 with a popular song by Bill
Haley and the Comets. What was the title of this song?
Answer:
$33.96
“
$105.33
$63.96
$5.99
$5.00
$210.67 $15.99
$210.67 $20.96
$14.99 $105.33
$5.00
$5.00
$210.67 $15.99
$49.80
$8.99
$946.19
”
To answer the question, find the discount and sale price of the following
items. Write your answers in the spaces after the problems. Then write the
letter that follows each answer in the space above the answer. If necessary,
round answers to the nearest cent. (Some letters will be used more than once.)
1
Cassandra wanted a pair of blue jeans
that cost $29.95. The price of the jeans was
discounted 30%. What is the amount of
the discount and the sale price?
Discount:
Sale Price:
N
L
4
Trish wanted to buy a bracelet that
cost $79.95. She waited until the price of
the bracelet was discounted by 15 . How
much was the discount and what was the
sale price?
Discount:
Sale Price:
2
Marc bought a set of sports posters that
cost $19.99. He purchased the set when
the price was discounted by 14 . How much
was the discount and what was the sale
price?
Discount:
Sale Price:
Shawna bought a new portable CD
player that originally cost $39.95. The
price was discounted 15%. How much was
the discount and what was the sale price?
Discount:
Sale Price:
5
Mr. Sacks wanted to buy a new TV for
$995.99. He waited until the price of the
TV was discounted by 5%. How much was
the discount and what was the sale price?
Discount:
O
A
3
E
T
K
H
Sale Price:
U
D
6
Enrique needed four new tires for his
car. Each tire cost $79.00. If he purchased
a set of four, he would receive a discount
of 13 off the full price. What was the
discount on the purchase of four tires and
what was the sale price?
Discount:
Sale Price:
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
R
C
53
Name
Date
The Fine Print
Finding Sales Tax
Before 1455, books were copied by hand. The invention
of the printing press in 1455 finally changed this slow,
painstaking process. Who invented the printing press?
Answer:
$0.70
$31.31
$3.60
$7.80
$72.05
$93.55
$19.80 $727.10 $727.10 $20.65 $415.79
$20.65 $727.10 $137.75 $20.65
$2.10
$0.70
To answer the question, find the amount of sales tax and the
final cost of the items below. Write your answers in the spaces
provided. Then write the letter that follows each answer in the
space above the answer. If necessary, round your answers to the
nearest cent. (Some letters will be used more than once.)
1
A new cell phone costs $129.95. The
sales tax is 6%. What is the amount of the
sales tax? What is the total cost of the
phone?
Sales Tax:
Total Cost:
T
B
4
A set of new speakers for a home
entertainment center costs $69.95. The
sales tax is 3%. What is the amount of the
sales tax? What is the total cost of the
speakers?
Sales Tax:
Total Cost:
R
O
2
A new computer printer costs $89.95.
The sales tax is 4%. What is the amount of
the sales tax? What is the total cost of the
printer?
Sales Tax:
Total Cost:
U
H
5
A new handheld computer costs
$695.79. The sales tax is 4.5%. What is
the amount of the sales tax? What is the
total cost of the computer?
Sales Tax:
Total Cost:
J
N
3
A new digital camera costs $395.99.
The sales tax is 5%. What is the amount of
the sales tax? What is the total cost of the
camera?
Sales Tax:
Total Cost:
54
A
S
6
A new CD costs $19.95. The sales tax
is 3.5%. What is the amount of the sales
tax? What is the total cost of the CD?
Sales Tax:
Total Cost:
G
E
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
Finding the
Unit Price and
Better Buy
Anchors Away!
An archipelago is a string, or chain, of islands.
The largest archipelago in the world has more
than 13,000 islands, stretching across 3,500 miles
of ocean. What is the name of this archipelago,
which is also a country?
Answer:
$1.50
$0.01 $12.74 $0.62
$0.01
$0.52
$0.86
$1.50
$1.06
To answer the question, find the unit price of each pair and
determine which is the better buy. Then write the letter of the unit
price that shows the better buy in the space above the answer. If
necessary, round your answers to the nearest cent. (Some letters will
be used more than once. Some letters will not be used.)
1
6
pens
T. 4 for $2.69
E. 12 for $6.29
2
Three pairs of socks sell at a discount
store for $4.99. The same three pairs of
socks sell at a department store for $5.99,
but are 25% off. Which is the better buy?
L. 3 pairs for $4.99
apples
I. 3 pairs for $5.99, 25% off
A. 5 pounds for $5.29
P. 2 pounds for $2.29
3
7
bananas
O. 5 pounds for $3.09
R. 3 pounds for $2.19
4
spaghetti sauce
S. 5 pounds for $4.29
U. 4 pounds for $3.79
5
A CD sells for $15.99 at Tom’s Music
Store. This week Tom is running a special
in which all CDs are reduced by 20%.
The same CD sells for $16.99 at
Roseann’s Music Shop, but at 25% off.
Which is the better buy?
B. $15.99 at 20% off
D. $16.99 at 25% off
notebook paper
C. 120 sheets for $2.29
N. 500 sheets for $4.95
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
55
Name
Date
Finding
the Percent
An Old Story
Many historians credit the Baroness Murasaki
Shikibu with completing the world’s first full novel
around A.D. 1010. The story centers around a prince
and is considered to be one of the greatest works of
Japanese literature. What is the title of this novel?
Answer:
20%
48%
25%
75%
40%
33.3
%
20%
100% 12.5%
40%
40%
50%
38%
2%
To answer the question, solve the problems. Write your
answers in the spaces provided. Then write the letter of
each problem in the space above its answer. (Some letters
will be used more than once. One letter will not be used.)
N. 21 is what percent of 42?
F. What percent of 64 is 48?
A. 50 is what percent of 50?
I. What percent of 50 is 19?
J. What percent of 1,200 is 24?
L. What percent of 64 is 8?
S. What percent of 48 is 72?
G. 8 is what percent of 24?
E. 24 is what percent of 60?
T. 15 is what percent of 75?
O. What percent of 32 is 8?
H. What percent of 125 is 60?
56
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Name
Date
A Leader for Liberty
Finding the Number
When a Percent of
It Is Known
Because he led the struggle for South American
independence from Spain, this man was called
the Liberator. Who was he?
Answer:
80
35
70
125
92
5
125
6
35
3
30
90
To answer the question, solve the problems.
Write the letter of each problem in the space
above its answer. (Some letters will be used
more than once. Some letters will not be used.)
A. 12 is 40% of what number?
H. 250% of what number is 20?
N. 23 is 25% of what number?
M. 35% of what number is 24.5?
I. 120% of what number is 42?
S. 15% of what number is 12?
T. 13 is 10% of what number?
B. 6% of what number is 0.3?
O. 48% of what number is 60?
L. 80% of what number is 4.8?
R. 80% of what number is 72?
V. 400% of what number is 12?
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
57
Name
Date
Solving Percent
Word Problems
A Rare Mammal
A platypus is an unusual mammal—it lays eggs.
Unusual mammals like the platypus and echidna,
a kind of anteater, belong to a special group. What
is the name of this special group of mammals?
Answer:
20.96
80
70
80
9.47 50.87
75
20.96
75
8.88
To answer the question, solve the problems. Write the answers on the
spaces after the problems. Then write the letter that follows each answer
in the space above the answer. If necessary, round your answers to the
nearest cent. (Some letters will be used more than once. One letter will
not be used. Dollar signs are not included with the answers.)
1
A pair of sneakers that originally
sold for $59.99 was marked down 20%.
A 6% sales tax is added to the sale price.
What is the actual cost
of the sneakers?
5
R
2
Thirty-five percent of the total
enrollment of the seventh-grade class
at George Washington School are boys.
130 students of the seventh-grade class are
girls. How many are boys?
A basketball originally cost $29.99. It
was then discounted 20%. A few weeks
later, it was discounted another 20%.
What was the sale price
after the two discounts?
A
6
Sandra earned $7.40 an hour at her
part-time job. She was pleased when her
hourly wage was increased by 20%. What
was her new hourly wage?
S
N
7
3
Seventy-five percent of the students of
Cassie’s school scored an A or a B on their
most recent math test. 300 students took
the math tests. How many received a grade
of C or lower?
E
The formula I = prt is used to find
simple interest. Find the simple interest
if p = $200, r = 5.24%,
and t = 2 years.
M
8
Sue purchased a dress that was marked
25% off. She paid $60 for the dress. What
was the original price?
4
The bill for four students at a diner
totaled $28.80. Added to this cost was a
6% sales tax. They paid with two twentydollar bills. How much
change did they receive?
T
58
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
O
Answer Key
Ships Ahoy!, page 7
1. R, 18
9. W, 12
20
32
2. E, 12
10. T, 18
15
21
3. W, 69
11. Y, 15
18
10
4. A, 12
12.
E,
27
14
10
5. L, 15
13.
A,
20
24
50
6. S, 10
14. C, 100
25
15
21
7. E, 24
15. A, 30
3
8. N, 18
16. S, 21
24
Answer: St. Lawrence Seaway
A Grand Old Tree, page 12
O. 35
I. 12
S. 1 13
T. 49
1
V. 1 6
B. 34
R. 57
L. 13
H. 1 23
Y. 1
3
P. 1 7
N. 56
1
M. 4
E. 23
C. 1 12
Answer: bristlecone pine
A Giant Dinosaur, page 8
1. S, 34
7. S, 34
4
2. A, 38
8. E, 11
2
3. I, 5
9. U, 37
4. S, 34
10. M, 56
5. R, 79
11. U, 37
5
6. O, 12
12. S, 34
Answer: seismosaurus
Go West!, page 13
R. 11
W. 1 29
15
1
9
M. 1 10
H. 14
2
A. 1 5
C. 1 12
1
T. 12
G. 1 12
P. 1 38
N. 1 16
5
7
L. 1 12
E. 1 10
Answer: Cape Wrangell
New World Baby, page 9
1. V, 14
7. I, 58
2. I, 35
8. A, 12
9
3. R, 34
9. D, 12
4
4. G, 17
10. A, 11
15
7
5. I, 25
11. R, 10
7
6. N, 8
12. E, 59
Answer: Virginia Dare
An Early Astronomer, page 14
L. 16
G. 19
1
B. 12
T. 12
3
O. 56
S. 20
U. 38
C. 13
7
E. 16
R. 13
24
A. 14
I. 34
1
P. 10
N. 59
J. 23
Answer: Nicolaus Copernicus
A Huge, Mysterious Life-form,
page 10
1. A, 2 23
7. F, 2 13
2. G, 5 25
8. U, 5 12
3. N, 3 37
9. I, 4 14
2
4. A, 4 3
10. G, 9 12
7
5. N, 5 13
11. U, 1 12
6. S, 9 13
12. T, 2 15
Answer: a giant fungus
A Very Short River, page 11
1. E, 48
6. D, 2 14
1
2. I, 2
7. N, 81
1
3. R, 11
8. M, 25
1
4. B, 78
9. T, 16
5. A, 3
10. O, 16
20
Answer: Roe River, Montana
Going to the New World, page 15
C. 1 27
S. 3 14
M. 6 12
O. 6 35
H. 11 16
F. 4 13
I. 4 23
D. 9 12
3
R. 2 4
W. 3 37
E. 7 35
N. 6
5
J. 2 6
L. 2 57
A. 7
Answer: Leif Ericsson
Home Sweet Home, page 16
E. 7 56
J. 8 16
S. 9 13
M. 11 18
1
7
Y. 11 20
I. 10 18
9
4
T. 9 14
O. 7 15
3
V. 12 29
R. 12 10
7
B. 9 24
D. 14 14
Answer: biodiversity
Ancient Doctor, page 17
1
R. 3 10
N. 2 14
C. 3 34
A. 4 78
5
D. 4 23
H. 5 12
3
1
T. 5 10
O. 4 24
7
E. 5 8
S. 4 79
P. 4 13
I. 5 56
Answer: Hippocrates
Picture This, page 18
R. 12
E. 29
30
C. 5 38
S. 23
7
I. 2 78
H. 10 15
3
L. 20
T. 19
40
5
O. 3 12
Y. 9 38
5
P. 4 11
G. 8 24
12
Answer: hieroglyphics
Bird-Watchers, page 19
U. 3 14
I. 9 11
12
M. 2 38
G. 9 38
7
D. 9 12
H. 5 13
20
9
N. 9 10
E. 3 38
5
5
A. 2 12
P. 6 18
R. 6 59
B. 4 11
12
Answer: hummingbird
A Long Subway, page 20
1. G R E, 1 14
2. N O D, 8 13
3. N O L, 2 18
4. A P, 1 38
5. O R, 3 56
6. D N U, Tom, 18 mile
Answer: London Underground
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
59
Monster Hailstone, page 21
1
Y. 10
I. 2
3
A. 16
F. 35
O. 23
R. 18
M. 9
E. 14
3
N. 13
S. 20
2
3
U. 5
V. 10
7
C. 15
K. 49
9
W. 58
L. 35
Answer: Coffeyville, Kansas
A Traffic Stopper!, page 22
N. 3 89
H. 2
S. 16 12
J. 5 56
G. 6 12
R. 8 13
O. 2 14
A. 10 12
T. 9 12
M. 3 12
3
L. 1 4
E. 5 14
Answer: Garret A. Morgan
The Little Dinosaur, page 23
M. 78
H. 27
R. 1 16
W. 3 34
T. 23
C. 34
1
U. 1 15
S. 45
G. 56
N. 1 34
A. 1 14
P. 1 13
I. 1 15
B. 2 12
1
L. 2 4
O. 1 18
Answer: compsognathus
A Famous Toy, page 24
H. 2 57
I. 3 16
1
T. 3 18
A. 2 34
Y. 6 14
S. 4 23
4
C. 2 9
E. 2 12
3
M. 1 37
J. 2 20
D. 1 34
R. 1 14
Answer: Richard James
A Big Eruption, page 25
I. 10 12
O. 12 23
2
N. 9 3
S. 1 13
C. 4 23
M. 3 35
R. 2
E. 1 34
1
D. 4 16
T. 1 21
3
U. 6 7
V. 8 45
Answer: Mount Vesuvius
60
Compute This, page 26
1. C, 16
2. N, 8 34
3. S, 36
4. A, 2 13
5. E, 33
6. I, 5
Answer: ENIAC
What’s on TV?, page 27
I. 17
L. 67
24
M. 4 11
H. 6
12
1
1
W. 2
R. 1 15
1
N. 6 24
P. 6 23
T. 10 12
F. 12
7
S. 4 8
O. 56
A. 35
Y. 3 34
Answer: Philo Taylor Farnsworth
Showtime!, page 28
I. 4
U.
R. 6
B.
C. 7
G.
S. 3
P.
H. 8
T.
Answer: Pittsburgh
1. 1
3.
2. 9
4.
2
1
0
9
5
0
5
Look to the East!, page 29
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
Answer: West Quoddy Head
Let’s Go to a Movie, page 30
1. T, 1.001; 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. R, 0.00802; A, 0.0082; I, 0.0820
5. N, 17.013; R, 17.1002; O, 17.1020;
B, 17.120
6. B, 2.00325; E, 2.03254; R, 2.325;
Y, 2.3253
Answer: The Great Train Robbery
An Old City, page 31
1. S, 0.6
8. G, 12.4080
2. I, 6.04
9. N, 4.0
3. T, 4.750
10. E, 27
4. A, 0.07
11. I, 6.3872
5. U, 0.7048
12. N, 297.04
6. U, 0.1
13. A, 63.302
7. S, 3,874.005
14. T, 30
Answer: Saint Augustine
A Special Kind of Scientist, page 32
3
7
1. E, 10
8. L, 4 10
29
59
2. I, 1 100
9. E, 100
1
9
3. R, 5
10. T, 5 20
7
1
4. O, 6 10
11. S, 20
9
5. O, 1,000
12. P, 78
3
6. H, 5 34
13. T, 100
1
11
7. S, 2
14. G, 50
Answer: herpetologists
Leading the Way, page 33
1. T, 1.25
8. U, 0.125
2. N, 0.4
9. Y, 0.28
3. N, 1.7
10. A, 0.3
4. S, 0.375
11. A, 0.3125
5. B, 1.4
12. S, 0.43
6. O, 1.375
13. H, 1.07
7. N, 0.37
Answer: Susan B. Anthony
Celebrity Groundhog, page 34
A. 1.138
B. 19.25
E. 88.97
X. 17.08
S. 5.17
T. 7.8959
M. 7.76
Y. 5.54
L. 1.281
U. 13.17
C. 125.59
H. 11.819
N. 757.7
P. 10.706
W. 9.26
I. 12.75
Answer: Punxsutawney Phil
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
The Fourth of July, page 35
R. 11.1
N. 30.51
M. 3.88
C. 0.8
D. 0.663
K. 1.48
A. 29.65
T. 2.376
G. 0.560
J. 20.789
S. 67.5
F. 1.28
L. 0.386
O. 39.799
E. 6.7737
H. 0.009
Answer: Thomas Jefferson
A Lady Doctor, page 36
T. 34.78
E. 0.35867
R. 7.00
A. 3.577
C. 45.064
H. 2,359.6
K. 41.89
L. 4.7613
I. 46.250
U. 304.5
B. 6.1336
Z. 333.27
D. 143.1
W. 1.25256
S. 29.882
Answer: Elizabeth Blackwell
Moonwalker, page 37
T. 0.903
M. 0.92
W. 9.23
U. 0.67
R. 0.486
G. 4.6
E. 35.4
C. 0.36
S. 0.84
N. 2.98
I. 6.3
A. 67.2
B. 0.35
O. 0.677
L. 4.2
Answer: Neil Armstrong
The Game of Hoops, page 38
T. 0.77
E. 2.5
R. 5.4
P. 5.9
M. 7.6
I. 0.302
N. 23.4
J. 9.6
O. 7.48
A. 0.76
S. 103.1
H. 6.8
Answer: James Naismith
A Great Discovery, page 39
N. 260
S. 20
M. 35
X. 1.4
I. 24
D. 21.25
R. 1.5
L. 50
E. 3.52
A. 90
F. 1.88
G. 54
Answer: Alexander Fleming
A Special Bear, page 40
1. E, 1.85 (seconds)
2. N, 13.07 (seconds)
3. D, 130.7 (miles)
4. R, $78.66; X, $943.92
5. A, 1,177.2 (miles);
L, 26.2 (miles per gallon)
Answer: Alan Alexander
Going Up?, page 45
1. V, 0.6
7. E, 12.5
2. T, 2.4
8. G, 0.025
3. S, 1.75
9. P, 1
4. L, 2.25
10. H, 0.5
5. A, 0.3
11. O, 0.16
6. R, 2
12. I, 0.125
Answer: Elisha Graves Otis
Ladies First, page 41
T. 10.25
S. 83.93
I. 37.17
M. 84.47
L. 0.28
H. 35.59
A. 0.35
K. 1.05
R. 72.39
C. 20
D. 2.62
U. 0.27
V. 0.64
E. 191.43
O. 2.53
N. 10.56
Answer: Valentina Tereshkova
Founder of the Girl Scouts, page 46
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
The Candy Bar Kid, page 42
O. 18.82
C. 91.67
A. 29.14
V. 12.74 (seconds)
E. 3.89
G. 8.95
N. 22.24
D. $16.25
R. 17.16
L. 0.23
Answer: Grover Cleveland
A Small Place, page 43
1. A, $3.87; N, $1.13
2. T, $12.99
3. I, $87
4. V, $6.75
5. Y, $79.94; C, $59.99
Answer: Vatican City
Sweet Success, page 44
1. A, $110; L, $107.89
2. K, $80; R, $83.20
3. Y, $120; O, $125.75
4. W, $20; G, $15.65
5. M, 12; I, 11.75
Answer: Milky Way
D. 3
Answer: Juliette Gordon Low
15
9
40 = 24 , 1912
Special Teacher, Special Student,
page 47
D. 23%
V. 105%
R. 7%
W. 34%
M. 50%
S. 125%
I. 90%
U. 17%
H. 9%
J. 130%
F. 25%
N. 12.5%
T. 150%
A. 40%
E. 32%
L. 31.25%
Answer: Anne Mansfield Sullivan
Peanuts, page 48
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%
Answer: George Washington Carver
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
61
Magic Math, page 49
A. 23%
M. 83.5%
1
S. 0.03
O. 10
U. 0.325
B. 0.95
1
1
H. 4
Y. 25
G. 60%
N. 1 15
3
R. 4
E. 33 13 %
1
L. 0.125
J. 1 20
T. 100%
D. 16.6
%
Answer: John Ronald Reuel
Elementary, My Dear Watson,
page 50
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
Answer: Arthur Conan Doyle
A Science Sleuth, page 51
A. 81
I. 90
J. 38.25
S. 5.4
O. 45
U. 15.75
T. 7.36
L. 280
R. 6.63
P. 12.96
M. 6
E. 49.95
Answer: Louis Pasteur
Brrrr. . . , page 52
1. T, 26
2. S, 299
3. K, 22
4. C, 48
5. O, 2,040
6. R, $42
7. P, 2,163
8. E, $2,180
Answer: Prospect Creek
62
Rock and Roll, page 53
1. N, $8.99; L, $20.96
2. O, $5.00; A, $14.99
3. E, $5.99; T, $33.96
4. K, $15.99; H, $63.96
5. U, $49.80; D, $946.19
6. R, $105.33; C, $210.67
Answer: “Rock Around the Clock”
The Fine Print, page 54
1. T, $7.80; B, $137.75
2. U, $3.60; H, $93.55
3. A, $19.80; S, $415.79
4. R, $2.10; O, $72.05
5. J, $31.31; N, $727.10
6. G, $.70; E, $20.65
Answer: Johannes Gutenberg
A Rare Mammal, page 58
1. R, $50.87
2. N, 70
3. E, 75
4. T, $9.47
5. A, $19.19
6. S, $8.88
7. M, $20.96
8. O, $80
Answer: monotremes
Anchors Away!, page 55
1. T, $0.67; E, $0.52; E
2. A, $1.06; P, $1.15; A
3. O, $0.62; R, $0.73; O
4. S, $0.86; U, $0.95; S
5. C, $0.02; N, $0.01; N
6. L, $1.66; I, $1.50, I
7. B, $12.79; D, $12.74, D
Answer: Indonesia
An Old Story, page 56
N. 50%
F. 75%
A. 100%
I. 38%
J. 2%
L. 12.5%
S. 150%
G. 33.3
%
E. 40%
T. 20%
O. 25%
H. 48%
Answer: The Tale of Genji
A Leader for Liberty, page 57
A. 30
H. 8
N. 92
M. 70
I. 35
S. 80
T. 130
B. 5
O. 125
L. 6
R. 90
V. 3
Answer: Simon Bolivar
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
Notes
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources
63
Notes
64
Practice, Practice, Practice: Fractions & Decimals © Muschla & Muschla, Scholastic Teaching Resources