The Authors:
Steve Marcy and Janis Marcy
Santa Monica-Malibu Unified
School District
Limited Reproduction Permission: Permission to duplicate these materials is
limited to the teacher for whom they are purchased. Reproduction for an entire
school or school district is unlawful and strictly prohibited.
For Jennifer, Matt, Andy, and Jazz
Cover by Nimbus Design
Illustrations by Mark Lawler
Technical art by Steve Reiling
Edited by Ann Roper
0 1989, 1996 Wright Group/McGraw-Hill
One Prudential Plaza
Chicago, IL 60601
Printed in U.S.A
ISBN: 0-88488-741-3
6 7
MAL
07 06
have Wed to minimize the time spent on
finding answers or doing other puzzle
mechanics.
MIDDLE SCHOOL MAl7-f WITH PIZZAZZ!
is a series of five books designed to provide
practice with skills and concepts taught
in today's middle school mathematics
programs. The series uses many of the
same puzzle formats as P R E - W E B R A
WITH PEZUZ! and ALGEBRA WlH P m !
both published by Creative Publications.
3. CAREFUL SELECTION OF TOPICS
AND EXERCISES. The puzzles within
each topic area are careefully sequenced
so that each one builds on skills and
concepts previously covered. The
sequence of exercises within each puzzle
is designed to guide students in incremental, step-by-step fashion toward
mastery of the skill or concept involved.
A primary goal is the development of
problem-solving ability. In order to solve
problems, students need not only rules
and strategies but also a meaningful
understanding of basic concepts. Some
puzzles in this series are designed specifically to build concepts. Other puzzles,
especially those for estimation, also help
deepen students' understanding by
encouraging them to look at numbers a s
quantities rather than just a s symbols to
be manipulated. For puzzles specifically
keyed to problem solving, we have tried
to write problems that are interesting
and uncontrived. We have included extra
information in some problems, and have
also mixed problem types within sets,
so that the problems cannot be solved
mechanically.
We believe that mastery of math skills and
concepts requires both good teaching and a
great deal of practice. Our goal is to provide
puzzle activities that make this practice
more meaningful and effective. To this end,
we have tried to build into these activities
three characteristics:
1. KNOWLEDGE OF RESULTS. Various
devices are used in the puzzles to tell
students whether or not their answers
are correct. Feedback occurs immediately
after the student works each exercise.
For example, if a particular answer is not
in the code or scrambled answer list, the
student knows it is incorrect. He or she
can then try again or ask for help.
Additional feedback and reinforcement
occurs when the student finds a puzzle
solution that is appropriate. This
immediate knowledge of results benefits
students and also teachers, who no
longer have to spend time confirming
correct answers.
In addition to these efforts to make the
puzzles effective, we have tried to make
them easy to use. The topic for each puzzle
is given both at-the bottom of the puzzle
page and in the Table of Contents on pages
iv and v. Each puzzle is keyed to a specific
topic in recent editions of leading middle
school textbooks. Each puzzle requires
duplicating only one page, and many
of them provide space for student work.
Finally, because the puzzles are selfcorrecting, they can eliminate the task
of correcting assignments.
2. A MOTIVATING GOAL FOR THE
STUDENT*The puzzles are designed so
that students will construct a joke or
unscramble the answer to a riddle in
the process of checking their answers.
The humor operates a s an incentive,
because the students are not rewarded
with the punch line until they complete
the exercises. While students may decry
these jokes as "dumb" and groan loudly,
our experience has been that they enjoy
the jokes and look forward to solving the
puzzles. The humor has a positive effect
on class morale. In addition to humor,
the variety and novelty of procedures for
solving the puzzles help capture student
interest. By keeping scrambled answer
lists short and procedures simple, we
We hope that both you and your students
will enjoy using these materials.
Steve and Janis Marcy
iii
1. MEASUREMENT: METRIC UNITS
a.
b.
c.
d.
e.
f.
g.
Length .........................................................................................................
7
......................................................
Measuring Line Segments with a Ruler
8
Renaming Units of Length .....................................................................
9-10
Capacity ...................................................................................................
11
'Weight ......................................................................................................2
Review: Capacity and Weight ................................................................3
Time ..........................................................................................................14
2. MEASUREMENT: CUSTOMARY UNITS
a.
b.
c.
d.
e.
f.
Measuring Line Segments with a Ruler ............................................... 15-17
Renaming Units of Length ...................................................................18-19
Capacity ...............................................................................................20.21
Weight .......................................................................................................
22
Review: Capacity -and Weight ...................................................................23
Adding and Subtracting Measurements ....................................................24
3. GEOMETRY
a. Basic Geometric Figures .........;.................................................................
25
b. Angles .......................................................................................................26
c. Estimating Angle Measures ......................................................................27
d. Measuring Angles with a Protractor ..........................................................
28
e. Drawing Angles with a Protractor ..............................................................29
f. Complementary and Supplementary Angles .............................................30
g. Related Angles Formed by Intersecting Lines ..........................................31
h. Parallel and Perpendicular Lines ..............................................................32
i. Related Angles Formed by Parallel Lines and Transversals ....................33
j. Triangles ..................................................................................................-34
k. Review: Related Angles ......................................................................-35-36
I. Quadrilaterals.......................................................................................37-39
m. Polygons ...................................................................................................40
n. Congruent Polygons ............................................................................... 41
o. Similar Triangles .......................................................................................42
p. Circles .......................................................................................................43
q. Lines of Symmetry .................................................................................. 44
r. Space Figures ...........................................................................................45
a.
b.
c.
d.
e.
Perimeter .............................................................................................46=47
Circumference ......................................................................................48-49
Area of Rectangles ............................................................................-50-52
Using a Calculator: Perimeter and Area ....................................................53
Area of Parallelograms.............................................................................
-54
f. Area of Triangles .......................................................................... ..*....55-56
g. Review: Perimeter and Area of Rectangles.
Parallelograms. and Triangles ..............................................................57
h. Area of Trapezoids ....................................................................................58
i. Area of Circles...........................................................................................59
j. Review: Circumference and Area of Circles ........................................60-61
k. Problem Solving: Mixed Applications ........................................................62
I. Problem Solving: Choosing a Formula ......................................................63
5. SURFACE AREA AND VOLUME
Surface Area of Rectangular Prisms .........................................................64
Surface Area of Prisms and Pyramids ......................................................65
Surface Area of Cylinders .........................................................................66
Volume of Rectangular Prisms ..................................................................67
Problem Solving: Mixed Applications ........................................................68
f. Volume of Prisms ......................................................................................69
g. Volume of Cylinders ..................................................................................
70
a.
b.
c.
d.
e.
6. SQUARE ROOTS AND RIGHT TRIANGLES
a. Squares and Square Roots ................................................................ 71-72
b. The Rule of Pythagoras: Finding the Length of the Hypotenuse .........73-74
c. The Rule of Pythagoras: Finding the Length of
a Side of a Right Triangle ................................................................75-76
7. ENRICHMENT
a. Formulas ................................................................................................... 77
78
b. Test of Genius ...........................................................................................
8. ANSWERS .............................................................................................79-96
NOTES ABOUT USING THE PUZZLES
The selection of topics for MIDDLE SCHOOL
MATH WrrH PIZZAZZ! reflects recent thinking
about what is important in an updated middle
school math program. Virtually every puzzle can
be matched with a particular lesson in recent
editions of popular textbooks. After students
have received instruction in a topic and worked
some sample exercises, you might assign a
puzzle along with a selection of textbook
.
exercises.
Students in the middle grades should begin to
classify many mathematics problems and
exercises into one of three categories:
1 . MENTAL MATH. Problems for which an exact
answer can be obtained mentally.
2. ESTIMATION. Problems for which an
approximate answer, obtained mentally, is
sufficient.
3. TOOLS. Problems requiring an exact answer
that cannot be obtained mentally. Students
will use paper and pencil and/or calculators.
Some of the puzzles in this series focus
specifically on one of these categories. A few
puzzles actually present problems in all three
categories and ask the student to make the
classification.
By the time they reach the middle grades,
students should generally be permitted to use
calculators for problems that require tools
(Category 3).The most common argument
against calculator use is that students will
become overly dependent on them. This concern,
though, appears to be based primarily on fear
that students will rely on the calculator for
problems in Categories 1 and 2, those that
should be done mentally.
To solve problems in Category 3, calculators are
wonderful tools for computing. Students may
also need paper and pencil to make diagrams,
write equations, record results, etc., so they will
need both kinds of tools. On the other hand,
students should not need calculators for
problems in Categories 1 and 2, problems that
call for mental math or estimation'. Skills in
these areas are essential not only in daily life
but also for the intelligent use of the calculator
itself. The puzzles in this series reflect these
three categories and the distinction between
them.
When students do use calculators, you may
want to have them write down whatever
numbers and operations they punch in and their
answers. This makes it easier to identify the
cause of any error and assists in class
management. Even when students do mental
math or estimation puzzles, have them write a
complete list of answers and, where appropriate,
the process used to get the answers. Encourage
students to write each answer before locating it
in the answer list. Students should complete all
the exercises even if they discover the answer to
the joke or riddle earlier.
One advantage of using a puzzle a s a n
assignment is that you can easily make a
transparency of the page and display the
exercises without having to recopy them on the
board. You can then point to parts of a problem
a s you discuss it. It is often helpful to cut the
transparency apart so that you can display
exercises on part of the screen and write
solutions on the remaining area.
Other books by Steve and Janis Marcy
published by Creative Publications
Pre-Algebra With Pizzazz! in a Binder
Covers most topics in a pre-algebra curriculum
Algebra With Pizzazz! in a Binder
Covers most topics in a first-year algebra curriculum
How Can You Find a Double-Decker Bus?
For each exercise, circle the letter of the more reasonable measure. Write this letter
in the box containing the number of the exercise.
The chart gives an approximate size for each of the most
commonly used metric units of length.
Approximate Size
Unit
1 millimeter (rnm)
1 centimeter (cm)
1 meter (m)
1 kilometer (km)
thickness of a dime
width of your smallest finger
length of a baseball bat
length of 10 football fields
@ length of an ant
R 5mm
@ length of a new pencil
M 5cm
@ height of a basketball hoop
U 30m
H 3rn
@ diameter of a quarter
G 24cm
K 5km
B 50m
@ length of a paper clip
0 24 rnm
@ length of a tennis court
L 24m
@ distance walked in 1 hour
E 3cm
S 30cm
@ distance driven on a freeway in 1 hour
D 24 km
U 85 km
A 850 m
@ thickness of a nickel
@ height of a dining table
E 20mm
K 75 mrn
0 2mm
@ length of an automobile
T 5m
N 66 cm
P 66 mm
F 40 km
0 28cm
R 28 mm
@ distance from New York to Los Angeles
B 2m
MIDDLE SCHOOL IVIA-TH WITH PIZZAZZ! BOOK D
o Creative Publications
T 400 m
@ length of a sheet of typing paper
@ height of a door
M 20 cm
@ length of a marathon race
S 50m
@ width of a dollar bill
S 75 crn
D-7
TOPIC 1-a: Length
Cryptic Quiz
5
El
(D
1. What did the duck say to the store clerk when buying chapstick?
cn
2. Why didn't Noah catch many fish during the voyage of the ark?
measurement in millimeters or centimeters, as indicated, and find your answer in the code.
Each time the answer appears, write the letter of the exercise above it.
@ length of
=
cm
@ length of
=
cm
@ length of
=
cm
2 @ length of
=
mm
@ length of B7i =
cm
@ length of CH =
cm
cm
@ length of
=
cm
@ length of GH =
cm
@ length of AC =
mm
@ length of
=
mm
@ length of
=
mm
2- 4
@ length of AE =
cm
@ length of
=
mm
@ length of
=
mm
g.o 8
@ length of A
T=
mm
@ length of CG =
mm
@ length of AH =
mm
F
V)
2
3 @ length of AC =
z
04
oI
Tij 3
2K
2-N
cij
D
zul
2u
Why Are Scales Like Roadmaps?
Do each exercise and find your answer in the set of answers to the right, Write the letter of the
shade in the
answer in the box containing the number of the exercise. If the answer has a
box instead of writing a letter in it.
a,
I. Answer each question.
Answers 1 - 3:
mm are in 1 cm?
010
cm are in 1 m?
@I00
@ 1,000
m are in 1 km?
@ 10,000 I
II. Complete each statement. You are changing each measure to a smaller unit.
Answers 4 - 11:
cm
(9 27,500
@ 3,666
@ 6,250
cm
mm
5
f
@ 830
Ill. Complete each statement. You are changing each measure to a larger unit.
@ 12.5mm =
@ 94mm =
@ 375 m =
cm
a0.375
Q0.094
km
@88m
=
km
@ 0.25
@ 500
@ 643 cm
@ 2.5 cm
@ 250 mm
@ 5,000 m
=
m
@5
@ 1.25
@ 0.088
=
m
=
dm
=
km
10
2
5
1 3 16
Answers 12 - 19:
cm
9
TOPIC I-c:Renaming Units of Length
18 12
6.43
@ 2.5
@ 9.4
@ 8.8
4
6
D-9
1
7
15 11 19
37.5
@ 0.0643
00.025
3
17
8
14
1
#1
f
1
1
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 1-c: Renaming Units of Length
D-I 0
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Did the Finger Say to the Thumb?
Choose the correct answer for each exercise. Write the letter of the answer in the box
containing the number of the exercise. The table below may help you.
Approximate Size
Unit
1 milliliter (mL)
1 liter (L)
1 kiloliter (kL)
capacity of an eyedropper
capacity of a juice carton
capacity of 4 bathtubs
I. Choose the more reasonable estimate of capacity.
@ a pot for cooking
@ a tablespoon
@ an automobile gas tank
@ a swimming pool
@ a water cooler jug
A 80 L
0 80 kL
@ a drinking glass
0 25mL M 250mL
****.*.
R2L
Answers 7 - 14:
II. Complete each statement.
* * *
~. O* * *~ * *** .** * ~* O~ . .*~
. . *. O~. * ~.
H 20L
* *~ . ~ * ~* ** ~* *~ *~ *~ o ~ * ~* ~. ~*~ *~ *~~ *~ *~~ * ~ *~ b* O*
* * . * * * * * * * * * *~ * 0*~ 0* ~*. ~* O*~ *b ~*~ * ~~* ~* ~b* ~* ~ *~ *O~ *~ *~~ * ~*~ ~* O*~ o~ *~~ *b ~*~ e ~.* ~* * ~* ~** o~ *O~ *~ ** ~ * ~** ~* b~* *b * 0 *~ ~ * ~ ~* ~ * ~ O. ~ * b ~* ~ *~ ~* ~
~ O ~b 0 ~ ~ ~o O O~ ~ ~ ~ b~ ~ ~
-
. *
. *
,
Answers 15 - 16:
Ill. Solve.
@ Ms. Sparkle bought 12 cans of diet soda. Each can
contained 350 mL. How many liters of soda did she buy?
@ Chef Pierre made 6.4 L of creamed carrot soup. If it is
served in 200-mL cups, how many cups can be filled?
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-11
R 48
V 4.2
L 32
N 5.4
TOPIC 1-d: Capacity
What Do Salmon and Cod Use When They Go to War?
Choose the correct answer for each exercise. Find the letter of the answer in the
string of letters near the bottom of the page and CROSS IT OUT each time it
appears. When you finish, write the remaining letters in the rectangle at the bottom of
the page. The table below may help you.
-++,a
I
Unit
G
0
((Po
Approximate Size
1 milligram (mg) mass (weight) of a grain of sand
mass (weight) of a paperclip
1 gram (g)
1 kilogram (kg) mass (weight) of a math textbook
I. Choose the more reasonable estimate of weight.
@ a nickel
@ a postage stamp
@)
@ a lemon
@ a 12-year-old child
@ a postcard
a bowling ball
II. Complete each statement.
Answers 7 - 14:
Ill. Solve.
@
An average orange weighs 270 g. How many kilograms
does a bag of 8 oranges weigh?
@ A vitamin tablet weighs 1.2g. It contains 150 mg of Vitamin
C and 250 mg of B Complex vitamins. How many
milligrams of other ingredients are in the tablet?
Answers 15 - 16:
0 1 . 9 6 (9800
0920
B2.16
B R Y L F E G O I P M C S O D H W T R B G A L O N Z U K V E S J
Answer to puzzle:
TOPIC 1-e: Weight
D-12
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
a>
w
'r=
=
3
6 d
4 .z a
r a
.-a $ E
&
x 3
@a,=
5
a, a,
0x 2
-tl2
az3 o>a,aL >3
cnaz
S 55
g=o,
+ a, .S
8 5 .G
-
(d
5 1 ~
r -.c- 8
.E
L C 0
a> 0 0
u-
p o.,
0
-
x
0
- 0m 6",z 1
-a,
moo 0
mo
yo*
7 m o E
-a c 2
z u m cn
52
3 5 .G
ggs
A
L
n
c .G ,m
Y0 38 9' 2
.-Lcn
g
s $@
a a, 2
'-x 0
Zcnmg
-a a, 8
$
5
ry,I
=SEE
DQ)
C
.p"j
$ m a
'
$
5
' s +=G r$
8s
a>
~
~
a>
*-
@ $ $ q j c c 4=
.
E
a
sEms
m ' t . - a>
324 9
8%g
rn 0
m
a 0 w E 3
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-13
TOPIC 1-f: Review: Capacity and Weight
What Should You Study to Learn
How to be a Cowboy?
8 Cross out the letter next to each correct answer. When you finish, &
the answer to the title question will remain.
.#
I. Complete each statement.
@ 4h=
@
min
@ 2 h 30 min =
7 min =
sec
@ 5 min l O s e c =
min
sec
@ 540 sec =
@ 80 min =
@ 3d=
h
min
@
135sec=
@ 3d=
h
min
min
sec
min
II. Add or subtract. Simplify if possible.
@
@
2 h 30 min
+ 3 h 45 min
@
@
8min10s
- 3 min 30 s
@ 12h25min
- 5 h 45inin
@ 32 min 50 s
- 17min24s
@
6 h 47 min
+4h13rnin
@
@
5 min 40 s
+ 8 min 50 s
9 min
- 5 min 32 s
7 h 8min
+ 2 h 43 min
5d 4h
-2d11 h
Ill. Solve.
It takes 15 h 20 min to travel from Los Angeles to Salt Lake City by
train. It takes only 2 h 38 min to fly between the two cities. How
much longer does the train take?
TOPIC 1-g: Time
D-14
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What H a s Four L e g s and Flies?
u
0
$
7
g. rn
gZ
2I
3
s=I
I
--I
This title question has TWO different answers. Part I gives you one answer and Part II gives you
the other. Follow the directions for each part.
I. Identify each measurement that is marked with a letter. Write each letter in the box
that contains the corresponding measurement.
I
A
L
C A
I
E
C
II. For each exercise, measure the line segment to the nearest
the exercise in the box containing the measurement.
T
P
B
N
inch. Write the letter of
Q
$Ej
5.
3
'.
@AB
in.
@AC
in.
@AG
in.
@AH
in.
@DG
in.
@DH
in.
@AD
on
@ E
in.
@AE
in.
OAF
in.
in.
@BG
in.
@BH
in.
in.
0"
in.
@HT
in.
=JaMsugayl lo Jaqunu ayl bu!u!e$uooxoq
ayl u! as!oJaxa ayl lo JaUal ayl al!JM -uurnlooJaMsue aql u! JaMsua inor(
pu!j q3u! yjyG!a-auo JsaJeaua q o l Molaq lualu6as eu!l qoea alnseayy
Measure with Pleasure
Follow the directions below. When you complete each step, put an x in front
of it. Measure carefully and you will get the picture!
- 1. Copy rectangle1ABCD on another sheet of paper. The rectangle is 7
in. wide and 9-5- in. high.
m.
1
2. Place your ruler on
Measure 33-in. across from Point A. Make
a dot to mark this point. Label it Point E.
1
- 3. Place your ruler on z.Measure down 1 7 in. from Point 6.Make a
dot to mark this point. Label it Point F.
7
- 4. On z,measure down 5 8 in. from B. Label this Point G.
3
- 5. Point H i s on El73- in. from B.
- 6.
Point 1 is on
3
z,
8 7 in. from B.
- 7. Point J is on
7 in. from A. Connect points Hand J.
1
- 8. Point K is on m,8 y in. from A. Connect points Iand K
- 9. Point L is on
m,3 -g1 in. from J. Draw EL.
-10. Point M is on
7 in. from E. Draw GM.
-11. Point N is on
-
7
m,5 3
-
in. from A. Draw MN.
-12. Line up your ruler on Points E and F. Mark a point 1 in. from E and
label it Point 0.Connect points E and 0.
-13. Point P i s on
5
-14. Point Q is on
,
6
-
in. from E. Draw OP.
1
-
in. from E. Draw GQ.
5
-15. Point R is on EL, 6 8in. from E. Draw m.
16. Point S is on
-17. Point T is on
m,2 $ in. from N. Draw MS.
a 1-g- in. from K. Draw
1
-18. Point U is on q 6 in. from K Draw
MIDDLE SCHOOL MKrH WITH PIZZAZZ! BOOK D
O Creative Publications
D-17
TOPIC 2-a: Measuring Line Segments With a Ruler
What Is
the Title?
TO FIND THE TITLE OF THIS
PICTURE:
Do each exercise below. Find your
answer in the code and write the letter
of the exercise above it. (Each answer
appears only once.)
CODED TITLE:
I. Answer each question.
@ How many inches
@ How many inches
@ How many feet
are in 1 foot?
are in 1 yard?
are in 1 yard?
II. Complete each statement.
You are changing each measure
to a smaller unit.
Ill. Complete each statement.
You are changing each measure
to a larger unit.
@ 2ft=
@ 5ft=
@ 1 ft6in.=
@ 8 ft 4 in. =
in.
@ 5yd=
@ 9yd2ft=
@ 20yd 1 ft=
ft
@ 48 in. =
@ 19 in. =
@ 69 in. =
@ 24ft=
@ loft=
@ 2yd=
in.
@ 3yd18in.=
in.
in.
in.
ft
ft
in.
TOPIC 2-b: Renaming Units of Length
I@
1@
1@
D-I 8
180 in. =
56 in. =
366 in. =
ft
ft
.In.
ft
in.
yd
yd
ft
yd
yd
~d
in.
in.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
What Did Airhead Klutz Look For When
H e First Took U p Waterskiing?
r
Find each answer in the set of boxes under the exercise. Write the letter of the exercise in
the space above the answer.
I. Complete each statement.
@
7ft=
@
~n.
4 f t 10 in. =
@
in.
l0ft3in.=
04 y d =
60 in. =
@ 40 in. =
ft
ft
in.
@ 72 in. =
in.
in.
yd
@ A baseball diamond is a square with 90 feet between bases. About
how many yards does a player run after hitting a home run?
yd
11. Add or subtract. Simplify if possible.
@
@
+
3ft7in.
2 ft 8 in.
9ft11in.
- 4 ft 6 in.
@ 5 ft 9 in.
+ 8 ft 10 in.
@
-
7ft4in.
2 ft 7 in.
MIDDLE SCHOOL MKrH WITH PIZZAZZ! BOOK D
O Creative Publications
@
loft 8 in.
- 3ft11 in.
TOPIC 2-b: Renaming Units of Length
Why Did the Young Actress Stuff
~ e Autograph
r
Into Bottles of
that Low-Calorie Cola?
I
Find each answer in the appropriate set of boxes at the bottom of the page. Write the
letter of the exercise in the box containing the answer.
II. Complete each statement.
You are changing each
measure to a larger unit.
I. Complete each statement.
You are changing each
measure to a sma.ller unit.
@ 5 gal =
@
J 9 gal =
@ 2 qt =
qt
qt
pt
@15qt=
pt
@ 40 qt =
@ 8 pt =
@ 24 pt =
qt
gal
qt
@I p t =
C
0 1 0 c =
pt
@7pt=
C
@18c=
pt
@3c=
@10c=
fl oz
fl oz
@ Igal 2 qt =
@ 6 gal 3 qt =
@gal=
pt
@lpt=
-fI02
@lqt=
fl oz
c
64 fl oz =
c
qt
7 qt =
qt
30 qt =
gal
gal
qt
qt
9 Pt = -qt -Pt
c
@4pt1 C =
16floz=
Answers for Column I
Answers for Column II
TOPIC 2-c: Capacity
D-20
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Did You Hear About
Answers A - L:
...
Do each exercise and find your answer in the appropriate answer column.
Notice the word next to the answer. Write this word in the box containing
the letter of the exercise.
I. Complete each statement.
@ 3 gal =
qt
@8pt=
@ % gal =
@ 5 qt =
c
qt
Answers M - X:
pt
a
4 gal 3 qt =
@ 20 qt =
gal
@Vpt=
@apt=
qt
gal
qt
@ 16floz=
Q 9 qt =
c
gal
qt
II. Solve.
@)
@
@
Mr. Fizz bought 6 cans of root beer. Each can contained 12 fl oz. How many cups
c
of root beer did he buy?
A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can costs $13
and the quart can costs $5. How much do you save per gallon by buying the larger
$cans?
Mrs. Ramirez bought 2 qt of orange juice. If the juice is served in 6-oz glasses,
how many glasses can be completely filled?
What Did They Call the Guy Who Made
367 Mistakes While Typing One Page?
Cross out the box contahing each correct answer. When you finish, write the letters
from the remaining boxes in the spaces at the bottom of the page.
I. Complete each statement.
I
II. Solve.
@ How many ounces of meat are used to
make a $-lb hamburger?
@ There are 30 students in a math class
oz
@ One dozen baseballs were packaged
for mailing. Each ball weighed 5 oz and
the box weighed 9 oz. Find the total
weight of the package in pounds and
ounces.
I b oz
TOPIC 2-d: Weight
D-22
with an average weight of 92 lb per
student.
A. What is the combined weight of all
Ib
the students in the class?
B. How much more than a ton is this?
Ib
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
C,
c a m
rm-3a
%EL.=
aav,
are,
3 3 C
CaZZ'
= c c o
.E
m m
Jkk
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm23
5
TOPIC 2-e: Review: Capacity and Weight
What Job Does the Buttermilk Biscuit
Have in the Movie?
Do each exercise and find your answer in the appropriate answer box. Write the letter
of the answer in the box containing the number of the exercise.
@
+
0
@
3h45min
1 h 30 min
@
6ft4in.
9 ft 7 in.
@
1c2f1oz
2c5floz
@
+
+
+
9min20s
4min 1 0 s
@
4ft9in.
3 ft 8 in.
@
7 gal 3 qt
6 gal 3 qt
@
+
+
@ To power an experimental car, Willy
12yd2ft
5yd2ft
+
+
3 qt I pt
5 qt 1 pt
Answers 10 - 18:
@ 3 min 5 s
@ 8ft5in.
@ 3 c 7 fl oz
@5h15min
@2min35s
@ 15gal3qt
@ 21 lb10oz
@ 12T300lb
@ 22lb6oz
O40ydlft
818ydlft
@ 9qt
@ 4h20min
@
@ 7lb2oz
3
13
7
1
t
4c5~1oz
15
9
TOPIC 2-f: Adding and Subtracting Measurements
18
-
8min
5 min25s
@ - 50yd
8 y d 1 ft
Q
20 gal
- 4 gal 1 qt
weighs 85 lb 12 oz. The average 14year-old weighs 108 lb 2 oz. HOW much
weight does the average person gain
during these two years?
@ 15ft 11 in.
@ 13 min30s
@ 41 yd 2 ft
@ 7 ft 6 in.
10
@
@ The average 12-year-old in the U.S.
Messerschmitt mixed 12 gal 3 qt of
gasoline with 4 gal 2 qt of ethyl alcohol.
How much fuel did this make?
Answers 1 - 9:
-
7h10min
2 h 50 min
12
5
D-24
16
2
8
@ 17ga1Iqt
@ 39lb2oz
@ 13T700lb
@ 14gal2qt
@ 1202
@ 16gal2qt
@ 6lb6oz
11 17
4
14
6
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Does a Cat Need to Play Baseball?
For each exercise, circle the letter
of the correct choice. Write this
letter in the box containing the
number of the exercise.
@ Which of the following is not a point onH
AC ?
@ Which of the following is not a correct name for
this line?
@ Which of the following is not the name of a
segment in this figure?
@ Which of the following is not the name of a ray in
this figure?
@ Which of the following is not a correct name for
this angle?
@ Which of the following is not the name of a line in
this figure?
@ Which of the following is a segment that has B as
an endpoint?
@ Which of the following is notthe name of a ray in
this figure?
@ Which of the following is not a correct name for an
angle in this figure?
@ LGHF
@
LEHG
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 3-a: Basic Geometric Figures
What Did Mrs. Claws Say During the Thunderstorm?
Find each answer at the bottom of the page and
write the letter of the exercise above it.
I. Complete each statement.
@ The figure formed by two rays from the same endpoint is an
@) The intersection of the two sides of an angle is called its
@ The vertex df LCOD in the drawing above is point
@ The instrument used to measure angles is called a
@ The basic unit in which angles are measured is the
@) LAOB has a measure of 90" and is called a
angle.
@ An angle whose measure is between 0' and 90" is an
@ Two acute angles in the figure are LBOC and
@ An angle whose measure is between 90" and 180 ' is an
@ An obtuse angle in the figure is
II. Give the measure of each angle.
angle.
angle.
4
LRQS
LRQT
LRQU
LRQV
LRQW
LXQW
LXQT
LUQV
TOPIC 3-b: Angles
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Did the Brontosaurus Need Band-Aids?
For each exercise, circle the letter of the best estimate. Write this letter in the box
containing the number of the exercise.
@
mLPis about
B35'
S70°
@
mLX is about
@
m L Vis about
E 140'
J 95'
@
mLGis about
@
mLK is about
0 50°
F 80'
@
m L W is about
R 155"
C 110'
@
mLBAC is about
@
mLPOR is about
@
mLXis about
@
mLCAD is about
@
m LPOQ is about
V 40°
N 15'
@
m i ~ i about
s
@
rnLBAD is about
G 100'
0 130"
(amLQOR is about
@
m L Zis about
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-27
TOPIC 3-c: Estimating Angle Measures
Books Never Written
Beginning Your Exercise Program by
57'
99' 119'
33'
90'
137' 173' 85'
99'
33'
Checking Your Homework by
33 O
How to Lead the Band by
38'
62'
28'
62'
41'
173' 119' 125'
ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE
THE NAMES OF THEIR AUTHORS:
Measure each angle below and find your answer in the code. Each time the answer
appears in the code, write the vertex letter of that angle above it.
TOPIC 3-d: Measuring Angles With a Protractor
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Happens When Cupid Shoots an Arrow? "
I
Use a protractor to construct the angles below. Each side you draw will
pass through a number. Write the vertex letter of the angle in the box
containing this number.
I
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm29
TOPIC 3-e: Drawing Angles With a Protractor
Why Is a Party Like
Pouring Oil I n t o a Car?
9
9
8
Do each exercise and find your answer at the bottom of the page. Write the letter
of the exercise in the box above or below the answer.
9
Z
F
5
=
I. Find the measure of the angle that is complementary to the angle having
the measure given.
II. Find the measure of the angle that is supplementary to the angle having
the measure given.
Ill. Find the angle measure that is not given.
TOPIC 3-f: Complementary and Supplementary Angles
Dm30
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
How Did the Judge Find Out About the Rotten Milk?
Do each exercise and find your answer in the Code Key. Notice the letter next to
the answer. Write this letter in the box containing the number for the exercise.
I. Complete each statement.
@ Two angles are complementary if the sum of their measures is
@ Two angles are supplementary if the sum of their measures is
@) The complement of a 30' angle has a measure of
.
@ The supplement of a 65 angle has a measure of
.
.
.
II. Find the measureof each numbered angle.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-31
TOPIC 3-9: Related Angles
Formed by Intersecting Lines
wkht Is Tke Biggest ~ r t b l tf
e ~Miwers?
Circle the number-letter pair of each TRUE
statement. For these pairs, write the letter
in the matching numbered box at the right.
-
-
*-
I. Use the figure below, in which EF I( BH.
You should find 11 true statements.
4th Street
*
EF intersects AD at C.
7-E
I
6th Street
LEBC is a right angle.
II. Use the figure above. You should find 4
true statements.
LDCE is a right angle.
5th Street is parallel to 6th Street.
LFCH is an acute angle.
7
1
LECH is an obtuse angle.
LABE is an acute angle.
Y
6th Street is perpendicular to Elm Avenue.
Elm Avenue is parallel to Disk Drive.
Perpendicular lines intersect to form right angles.
4th Street and Oak Avenue intersect to
form right angles.
Parallel lines never intersect.
Elm Avenue is perpendicular to Oak Aveni
Elm Avenue is parallel to Oak Avenue.
Why Couldn't the *o
Elephants Go Swimming Together?
Give the measure of each numbered angle. Find your answer in the Code Key and notice
the letter next to it. Write this letter in the box containing the number of the angle.
(Assume that lines in each figure that do not intersect are parallel.)
4
4
What Did the Boy Candy Say to the Girl Candy?
Do each exercise and find your answer in the set of answers to the right. Write the
letter of the answer in each box containing the number of the exercise. If the answer
has a @, shade in each box containing that exercise number.
I. Classify each triangle two ways.
acute;
scalene
acute;
isosceles
acute;
equilateral
right;
scalene
right;
isosceles
obtuse;
scalene
5.1 kni
obtuse;
isosceles
II. Find the measure of the third angle in each triangle.
@ Two angles of a triangle have equal measures. If the third angle
measures 120°, what is the measure of each of the equal angles?
TOPIC 3-j:Triangles
D-34
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Do You Get When You,,,
1. Cross two ducks with a match?
2. Cross a stick of dynamite with a lemon pie?
Find the angle measures indicated. Look for each answer in the code. Each time the
answer appears, write the letter of the exercise above it.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 3-k: Review: Related Angles
Daffynition
Decoder
code. Each time the answer appears, write
Warehouse: ----------.-
------1 OSO 40° 36O 78O 151O 55O 45O 146" 36O 151 O 105" 40° 135O 42O 34' 55O 146' 78O
Explain:
--------42O 55O 78" 146O 11 6O 56O 36O 74O 29O 34O 135O 1 00° 55O 56O 60° 56O 98O 135O 100°
----------
@ If mL1 = 50;then m L 2 =
@ If m L 3 = 120; then m L 4 =
@ If
mL8
@lf
rnL9=47O and m L 1 0 = 3 3 P t h e n m L 8 =
@If
m L 2 = 35;then m L 1 =
@ if
m L 1 0 = 45O and m L 8 = 90; then m L 9 =
@ If
@ If
m L 4 = 45; then m L 3 =
@If
m L 6 = 66O and m L 9 = 40;then m L 1 0 =
m L 6 = 29;then m L 8 =
@ if
m L 11 = 1 30° and m L 9 = 52; then m L 8 =
@If
m L 6 = 29;then m L 5 =
m L 8 = 81
@If
m L 5 = 116;then m L 7 =
@ If
@ If
m L 2 = 56pthen m L 4 =
@If
mL1 =56;then m L 4 =
@ If m L 8 = 82;then m L 7 =
@ lf mL11 = 144Pthen m L 1 0 =
@ If m L 1
=
=
78Q and m L 9 = 60; then m L 1 0 =
and m L 9 = 24; then m L 11 =
56; then m L 3
=
Can a Polar Bear G o On a Safari?
@1
1
-
@
rectangle
...............................................................
@
@
parallelogram
@
D
"n
...............................................................
rectangle
@
@
@
0
1
trapezoid
parallelogram
rhombus
@
@
@
@
square
@
@
@
@
parallelogram
trapezoid
parallelogram
rectangle
rectangle
rhombus
trapezoid
trapezoid
square
rectangle
rhombus
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 3-1: Quadrilaterals
W h y Was Cinderella Kicked Off the Baseball Team?
For each exercise, circle the letter of each figure that belongs in the category named.
Arrange these letters to form a word. Then write this word on the line next to the
name of the category.
(You may assume the following: sides that appear parallel are parallel; sides that
appear perpendicular are perpendicular; sides that appear congruent are congruent.)
=ONDcaR
@ parallelograms:
@)
rectangles:
"0
A
sn
rhombuses:
@ squares:
E
A
naLonaD
@ trapezoids:
TOPIC 3-1: Quadrilaterals
Dm38
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Didn't the Snobbish Potatoes Want Their
Daughter to Marry a News Broadcaster?
Under each figure, circle the number-letter combination next to each word that
correctly names the figure. Write the letter in the matching numbered box at the
bottom of the page.
5-A parallelogram
16-0 rectangle
19-F square
25-E parallelogram
13-1 rectangle
4-D rhombus
9-U quadrilateral
21-F parallelogram
1-H trapezoid
20-N parallelogram
I 1-T rectangle
23-A square
2-E quadrilateral
24-V parallelogram
8-P rhombus
19-0 parallelogram
15-L rectangle
6-S rhombus
13-A quadrilateral
26-R parallelogram
7-N trapezoid
17-M rectangle
10-P square
14-S trapezoid
21-E parallelogram
18-1 rhombus
8-J trapezoid
4-W quadrilateral
12-0 parallelogram
24-N trapezoid
22-T quadrilateral
15-C rhombus
3-B square
10-S rectangle
18-M rhombus
24-T square
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
63 Creative Publications
D-39
TOPIC 3-1: Quadrilaterals
Why Do Ants Visit the Zoo on Cold Days?
Write the word missing from each statement in the boxes next to the statement.
Notice which letters are in numbered boxes. Write each of these letters in the
matching numbered box at the bottom of the page.
@ A triangle is ad
with three sides
and three angles.
@ A polygon with four sides and
four angles is a
@ A polygon with fivesides and
21
10
L
15
five angles is a
A polygon with six sides and six angles
is a
@
An octagon is a polygon with eight sides
and eight
@
A polygon with ten sides and ten angles
is a
@
In the set of figures above, Figure A
is a
@ Figure B is an
@ Figure C is a
@ Figure D is a
@ The point of intersection of two sides of
a polygon is called a
@ A line segment (not a side) connecting two
vertices of a polygon is called a
@ A polygon with all sides the same length
and all angles the same measure is
called a
polygon.
TOPIC 3-m: Polygons
D-40
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
W h y Couldn't Orgo Buy a Round Trip Ticket?
Follow the directions for each section. Each exercise will give you a number-letter
pair. Write the letter in the matching numbered box at the bottom of the page.
I. Find each pair of congruent figures. Use the number from one figure and the letter from
the other.
II. Complete each statement, then find your answer in the answer column. Use the number of
the exercise and the letter of the answer.
AABC s AEDF
Answers 6 - 11:
C F
ASKM E ANGJ
N
Answers 12 - 17:
@SK=
@LJ
@KM=
@ a@ L N
@ S M ~
OW
@LG
Answers 18 - 23:
ARHX s ATYL
@RX
@ W Z
Q L T ~
@LR
@ K G
Q L Y ~
@ R H~
QLL
n
L
T
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 3-n: Congruent Polygons
H
Does Any Animal Have
More Than 9 Lives?
Give the angle measures indicated. Find each answer in the Code Key
and notice the letter next to it. Write this letter in the box containing the
number of the exercise.
AABC
ADEF
AJKL
ARST
B
J
K
-
-
\ "oS
49"
A
L
AXYZ
- AHPV
AQGW
- ANMU
AEFG
- AHlG
ATLC
- AOKC
TOPIC 3-0:Similar Triangles
D-42
T
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Did the Waitress M e a n
When She Yelled to the Cook:
"1+ 1 ° F
Fill in each blank with one of the answers at the bottom of the
page. Then write the letter of the exercise above its correct
answer.
C
A
The figure at the right is a circle with center at 0.
@ The points on a circle are all the same distance from the
@ A line segment from the center to any point on the circle is a
@ A line segment with both endpoints on the circle is a
a
A chord that passes through the center of a circle is a
.
@ A diameter of the circle in the drawing above is the segment
@ Which of the following is not a radius: m,OD, or z?
@ Which of the following is not a chord: m,m,or z?
@ Part of a circle, such as between points 5 and C, is an
@ An angle whose vertex is at the center of a circle is a
@ Which of the following is not a central angle: LAOD, LCOD, or LBCA?
from point 0.
@ Points A, B, C,and D are all the same
@ If the length of is 20 cm, then the length of is
@ If the length of m i s 20 cm, then the length o f p m i s
@ If the length of m i s 20 cm, then the length of =is
the length of a diameter.
@ The length of a radius is
a
The set of points in a plane at a fixed distance from a given point is a
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
D-43
TOPIC 3-p: Circles
V WhatDid thesecretarysay
3
o
"
4
to Her Boy Friend?
Q .c7*
For each exercise, circle the letter of each figure that is divided by a line of symmetry.
Arrange these letters to form a word. Then write this word on the line next to the
exercise number.
TOPIC 3-q: Lines of Symmetry
D-44
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Did the Taxi Driver Say About His Daughter?
Write the name that best describes each space
figure. Then find your answer in the answer
column. Write the letter of the answer in the
box containing the number of the exercise.
6
4
9
2
1
1
5
7
10
1
12
8
3
triangular pyramid
hexagonal prism
cone
triangular prism
sphere
rectangular prism
pentagonal prism
cube
pentagonal pyramid
cylinder
hexagonal pyramid
rectangular pyramid
Why Did the River Guide Carry a Rifle?
.
...
f. Find the PERIMETER of each figure. Crossout the box containing each correct
: answer. When you finish, write the letters from the remaining boxes in the
:. spaces at the bottom of the page.
.
'm
l
l
m.
a .
l
l
a
in.
in.
1.8 m
2.5 km
24 in.
Find the perimeter of each rectangle.
Q L=
12 in.
w = 12 in.
@ How many feet of border are needed
@ Find the perimeter of a sheet of
4
typing paper 8
long.
to go around a square bulletin board
that is 4.5 ft on each side?
in. wide and 11 in.
HE
TO
ST
SH
OT
48 in. 43.4 m 144 in. 18.6 km 18 ft
FL
00
OP
21 m 46.4 m 156 in.
HE
AT
RA
IN
TO
180cm 35ft 184mm21.8km 7.2m
SO
41 cm
TOPIC 4-a: Perimeter
D-46
LS
OA
TT
37 ft 160 mm 32 ft
NG
DS
ET
PI
PE
42in. 200cm 39in. 156in. 11.4km
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Is
the Title?
TO FIND THE TITLE OF THIS
PICTURE:
Do each exercise below and find your
answer in the code. Each time the
answer appears, write the letter of the
exercise above it.
CODED TITLE:
I. Find the perimeter of each figure.
I
@ Triangle with sides of 8.2 cm,
@ Rectangle with sides of 22 in.
3.9 cm, and 4.5 cm
cm
@ Square with sides of 16.4 m
@ Parallelogram with sides of
and 28 in.
m
40 cm and 75 cm
cm
@ Regular decagon with sides
Of0.63 krn
....em.............
km
e
~
~
*
in.
Equilateral triangle with sides
of 5.25 ft
ft
-
Regular hexagon with sides
of 2.75 in.
in.
(@I
Rhombus with sides of 50 ft
~
e
~
m
~
~
ft
~
~
~
II. Solve.
@ The width of a large American flag is 8 ft.
@ The width of a rectangular poster is 16 in.
Its length is twice its width. Find its
perimeter.
Its length is 5 ft more than its width. Find
ft
its perimeter.
@ The perimeter of a triangle is 38 R. One
@ The perimeter of a square window is
360 cm. Find the length of one side.
side is 14 €tlong. Another side is 9 ft long.
ft
How long is the third side?
cm
@ The longest side of a triangular sail is 9 rn
@ A pennant is shaped like an isosceles
triangle. The short side is 14 in. long and
is half the length of each longer side. Find
the perimeter of the pennant.
in.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
in.
D-47
long. The second side is 1.5 m shorter
than the longest side. The third side is half
the length of the longest side. What is the
perimeter?
m
TOPIC 4-a: Perimeter
~
Why Did the Piano Player Bang Her
Head Against the Keyboard?
-
Find the circumference (C)of each circle, given the diameter (d) or radius (r).Use
3.14 for x. Draw a straight line connecting the square by the exercise to the square
by its answer. The line will cross a number and a letter. Write the letter in the
matching numbered box at the bottom of the page.
+ C = 125.6 in.
+ C=31.4cm
+ C = 94.2 in.
+ C = 9.42 cm
+ C = 72.22 in.
+ C = 301.44 in.
+ C = 25.12 in.
+ C = 15.7 in.
+ C =28.888 cm
+ C = 13.816cm
+ C=15.7cm
@ d=40in. +
@ d=9.2crn+
@ d = 1.5 in. +
@ d=600m +
@ d-23in. +
@ d=IOcm +
@r=lin.
@r=6cm
+
+
@ r=15in. +
Q r=2.2crn +
@ r=48in. +
@ r = 3 . 9 ~ &+
@ r = 2.5 in. +
@ r=2.5cm +
@ r=50m +
TOPIC 4-b: Circumference
0
0
69 0
@
0
@
0
0
D-48
+ C=6.28in.
+ C=314m
+ C = 4.71 in.
+ C = 37.68 cm
+ C = 24.492 cm
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
01989 Creative Publications
D-49
TOPIC 4-b: Circumference
What Does a Tuba Call Its Father?
Give the number of square units in each figure. Find your answer and cross out the
letters above it. When you finish, the answer to the title question will remain.
TOPIC 4-c: Area of Rectangles
D-50
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Did the Baseball Coach Look For in Space?
Measure the length and width of each rectangle to the nearest cm.
Then compute both the PERIMETER and AREA. Find both answers in
the rocket and cross out the letter next to each. (For answers that
appear more than once in the rocket, it doesn't matter which one you
cross out.)
When you finish, the answer to the title question will remain.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm51
TOPIC 4-c: Area of Rectangles
Why Do Elephants Have Ivory Tusks?
Do each exercise and find your answer in the answer columns. Write the letter of the
answer in each box containing the number of the exercise.
I. Find the area of each figure.
@
5 in.
12in.
7 in.
10 in.
6 in.
12 in.
7 in.
8 in.
II. Find the area of the shaded region in each figure.
@ yard with sandbox
@ wall with windows
@ sidewalk
around pool
III. Solve.
30 ft
@ A bedroom is 15 ft long and 12 ft wide.
@
How much will it cost to carpet the room
if carpeting costs $22 per square yard?
(1 yd = 3 ft)
TOPIC 4-c: Area of Rectangles
D-52
A rose garden in the city park is
rectangular and is 9 m wide. If the area
of the rectangle is 144 m2, what is the
length of the garden?
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
How Was the Wooden Marionette
Related to the Wooden Diuing Board?
*
8
i
4
-
-
Use a calculator to solve each problem (round decimal answers to the nearest tenth).
Find your answer in the answer column and notice the two letters next to it. Write
these letters in the spaces over the exercise number at the bottom of the page.
WORLD RECORD: The largest jigsaw puzzle ever made was 85 by
55 ft and had 15,520 pieces. It was constructed by the United Way in
Keene, New Hampshire.
1. What was the area of the puzzle in ft2?
ft2
2. What was the area of the puzzle in in??
in.2
. 3. .What. was. the.average
. .size. of each
. .piece?
.- . . . . . in.*
. WORLD RECORD: The world's largest quilt, designed by A. Platteau,
measures 69.6 by 99.5 ft. It was made from 16,140 equal-sized
squares sewn together.
4. What is the area of the quilt in ftn?
ft2
5. What is the area of the quilt in in??
in?
6. What is the area of each square?
in?
. . . . . . . . . . . . . . . . WORLD RECORD: The world's longest buffet table was 3,304.8 ft long
and 8.2 ft wide. On June 19, 1982, approximately 4,000 people,
including HM The King of Sweden, were seated at the table.
7. What was the area of the table?
ft2
8. What was the perimeter of the table?
ft
9. If 4,000 people were equally spaced
around the perimeter of the table,
how far apart were they sitting?
ft
. . . . . . . . . . . . . . . . - . WORLD RECORD: The largest American flag ever made was first
displayed on March 22,1980, and measures 411 by 210 ft.
917,106.8
(@ 6,925.2
@ 6,626
@ 14,904
@ 61.8
@ 4,835
09,590
11. What is the area of the flag in ydz?
yd2
a
Ib
@ 83,820
@ 28,186.4
Dm53
:
@ 1.7
@ 997,228.8
@ 46.5
@ 7,130
@ 673,200
@) 15,344
@ 27,099.4
@ 2.1
(@ 4,675
(@ 86,310
ft 2
12. The fabric used for the flag weighs
about 1.6 lb per yd2. About how much
does the flag weigh?
8+
+
Answers
10. What is the area of the flag in ftn?
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
0 Creative Publications
+
t
43.4
TOPIC 4-d: Using a Calculator: Perimeter and Area
What Happened to Mr. Meter When Mrs.
Meter's Mother Flew in for a Visit?
-
-
-
-
-
- -
-
-
-
Cross out the box containing each correct answer. When you finish, write
the letters from the remaining boxes in the spaces at the bottom of the page.
I. Find the PERIMETER and the AREA of each parallelogram.
5 in.
I
8 in.
0
... 90
- -ft
/rlfi/
6.5 cm
- 0 -
I
9.3 cm
0.7 m
II. Solve.
@ The base of a parallelogram is 10 in.
@ The height of a parallelogram is 4.5 cm.
The height is 2 in. more than half the
base. Find the area.
@ The area of a parallelogram is 60 ft?
The base is twice the height. What is
the area?
@ The area of a parallelogram is 375 cm?
The height is 5 ft. How long is the
base?
TOPIC 4-e: Area of Parallelograms
The base is 25 cm. Find the height.
D-54
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 4-f: Area of Triangles
What Happens When the Smog
Lifts in Los Angeles, California?
24.6 crn
20.8 cm
L
CV
.-
C
Q)
7
CV
CV
N
0
L"h
N b
V
E
E
*
5
?
CV
E E Z
m
~
O
O
d b ZCV.
7
.c
-
9,200 in?
0
0
L
3rl
-=L
o
25 rn
20 in.
CV
494 in.
6.6 rn
15 in?
.-
b
Find the AREA and the-PERIMETER of each triangle below. Look for both
answers in the rectangle. Shade in each area containing a correct answer.
5 in.
5 in.
114 in.
@r-l
TOPIC 4-f: Area of Triangles
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
03
W h y Was Igor Unhappy About His Spelling Test
00
30
Even Though He Got Everything Right?
EG
Give both the perimeter and area of each figure. Find each answer in the
appropriate answer column. Fill in the correct unit of measure for each answer you
choose, then circle the number-letter next to it. Write the letter in the matching
numbered box at the bottom of the page.
6 in.
v
8 in.
0
16
5 cm
19 in.
9 in.
8 cm
14 in.
7 in.
3 cm
,
11 crn
2.2 m
@ Rectangle with sides of @ Square with sides
22 cm and 28 cm.
measuring 12 in.
5 in.
5 in.
@ Right triangle with sides
o f 8 m , 15rnand 17m.
What Game Did Tarzan Like to Play?
Do each exercise below. Find your answer in the answer columns and notice
the letter next to it. Look for this letter in the string of letters near the bottom
of the page and CROSS IT OUT each time it appears. When you finish,
write the remaining letters in the rectangle at the bottom of the page.
I. Find the area of each trapezoid.
A- /
9 in.
6 in.
16 in.
@
bl = il in.
b2 = 9 in.
h = 8 in.
II. An artist designed a base for one of his sculptures with the dimensions shown.
-
The top and bottom are rectangles. The sides are isosceles trapezoids.
@ Find the area of the front face (20 cm base).
@ Find the area of the side face (12 cm base).
@ Find the area of the top.
6 cm
D T B C H O R I N F A M T U O Z D N Y F A L T B P I E G U N S H
Answer to puzzle:
TOPIC 4-h: Area of Trapezoids
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
D-59
TOPIC 4-i: Area of Circles
What Is the Title
of This Picture.0
I
I
Use the diameter ( d )or radius (r) of each circle to find the
circumference (C) and area (A) of the circle. Use 3.14 for n.
Round answers to the nearest hundredth (if necessary).
Each time an answer appears in the coded title, write the
letter of the exercise above it.
CODED TITLE:
@r=
@ C=
a
A=
@ d=
@ C=
in.
@A=
mm*
in.
in.
in.
in.2
W h y Is a Mathematician Like an Airline?
Round each answer to the nearest hundredth (if necessary) and find it in the
appropriate answer column. Use 3.14 for n. Fill in the correct unit of measure for
each answer you choose. Write the letter of the exercise in the box containing
the number of the answer.
1. A circle has a radius of 12 in. Find:
@ The diameter of the circle.
@ The circumference of the circle.
@ The area of the circle.
2. A circle has a radius of 4.4 cm. Find:
@ The diameter of the circle.
@ The circumference of the circle.
@ The area of the circle.
3. A circle has a diameter of 60 m. Find:
a
@
The radius of the circle.
The circumference of the circle.
@ The area of the circle.
4. A circle has a diameter of 1.8 km. Find:
@ The radius of the circle.
@ The circumference of the circle.
@ The area of the circle.
5. Solve.
@ Jack's cow is tied to a beanstalk with a piece
a
@)
of ropethat is 15 ft long. What is the area of the
circle in which the cow can graze?
Answers 1 - 3:
Answers 4 - 5:
@ 27.63
@ 61.43
@ 30
@ 75.36
@ 461.36
@ 8.8
@ 172.4
@ 24
@ 60.79
@ 2,826
@ 452.16
@ 25.51
@ 188.4
@ 2,516
@ 898
@ 706.5
@ 5,174
@ 24,930
@ 2.54
@) 0.79
@ 0.9
@ 942
@) 690.5
@ 2.91
@ 5,024
@ 5.65
@ 0.87
@ 25,120
A round game table has a diameter of 1 m. How much plastic
laminate is needed to cover the top of this table?
The diameter of the earth at the equator is about 8,000 mi.
Based on this figure, how far is it around the earth?
@ Radio station KROQ broadcasts in all directions to a distance
of 40 mi. How many square miles are in the station's broadcast area?
@ WORLD RECORD: The world's largest Ferris Wheel was built in
London in 1897. The wheel had a radius of 150 ft. How far would
you travel in one turn of this wheel?
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm61
TOPIC 4-j: Review: Circumference and Area of Circles
fi
How Do You Get a One-Armed Monkey
Down From a Coconut Tree?
Solve each problem. Use 3.1 4 for x. Find your answer and
cross out the letter next to it. When you finish, the answer
to the title question will remain.
1.
Find the diameter of a circle if the circumference is 8 cm. Round to
the nearest tenth.
2,
Find the diameter of a circle if the circumference is 24.5 m. Round to
the nearest tenth.
3
The largest living thing on earth is a California sequoia tree named
the "General Sherman." The circumference of its trunk is about 82 ft.
Find the diameter of the trunk to the nearest whole number.
4,
A revolving water sprinkler sprays water in all directions to a distance
of-25 ft. What area does it cover? Round to the nearest 10 ft2.
5, Pizza Mind Pizza sells a large pizza with a diameter of 14 in. and a
medium pizza with a diameter of 11 in. Find the following to the
nearest whole number:
A. The area of the large pizza.
B. The area of the medium pizza.
C. How much larger is the large pizza?
6, Nick Claus plans to have a model train running in a circle around his
holiday tree. How many feet of track will he need if the diameter of the
circle is 9.5 ft? Round to the nearest whole number.
7,
A record has a radius of 15 cm. The label
has a radius of 6 cm. Find the following
to the nearest tenth:
A. The area of the record
(including the label).
6. The area of the label.
C. The area of the record that is
not covered by the label.
8
The diameter of a basketball hoop is 18 in. The circumference of a
basketball is 30 in.
A. Find the diameter of the basketball.
Round to the nearest tenth.
B. How much less is the diameter of the basketball than the
diameter of the hoop?
9
A circle is cut out of a piece of
plywood that is 10 in. square.
The scraps are thrown away.
A. Find the area of the circle.
6. How many square inches of
plywood are thrown away?
TOPIC 4-k: Problem Solving: Mixed Applications
D-62
10 in.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
When I s a Chair Like the Fabric Used to Make It?
Write the correct formula to use in solving each
problem. Find your answer in the Code Key and notice
the letter next to it. Write this letter in the box containing
the number of the problem.
1 A botanical garden
was designed in the
shape of a pentagon.
How many meters of
fencing are needed to
go around the garden?
2 How many square feet of wallpaper are
needed to cover a wall 8 ft high by 15 ft
wide?
3 The diameter of a circular running track is
140 yd. How far would you run in one lap?
I
7 How many tiles are needed to cover a
square patio measuring 18 ft on a side if
each tile covers 1 sq ft?
8 The orbit of the earth around the sun is
approximately a circle with a radius of
93,000,000 mi. How far do we travel in one
orbit around the sun?
9 How much felt is
needed to make
this banner?
cu
Pi High
50 cm
around a rectangular tablecloth measuring
52 in. by 70 in.?
@
P=sumofthe
lengths of
the sides.
@
~ = 2 e 2~
+
@
P=4s
a
C=xdor
C = 2xr
10 If each bag of fertilizer covers 2,000 sq ft,
how many bags are needed to fertilize a
rectangular lawn measuring 100 ft by 160 ft?
11 A lighthouse beacon can be seen 24 mi in
all directions. What is the area over which
the beacon can be seen?
12 Popeye put colorful plastic tape around the
6 How much lace edging is needed to go
Perimeter1
Circumference
0
5 A dangerous criminal has escaped from
prison. The police believe he could not have
traveled more than 10 mi in any direction
from the prison. How many square miles
must be searched?
I
~h
4 How much weather stripping is needed to go
around a square window measuring 42 in.
on a side?
Code Key
edge of a triangular sail. The sail had sides
of 10 ft, 15 ft, and 18 ft. How many feet of
tape did he use?
Area
@ A=Lw
@ A=s2
1
@) A=?-bh
@ A = xr2
What Happened to Zelda After She Swallowed
Two Nickels, Three Dimes, and a Quarter?
Give the SURFACE AREA of each prism. Find your answer in the answer columns
and notice the two letters next to it. Write these letters in the spaces over the exercise
number at the bottom of the page.
@ A rectangular storage box is 12 in.
@ A teacher made a pair of foam dice
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
@ 73 rn2
TOPIC 5-a: Surface Area of Rectangular Prisms
to use in math games. Each cube
measured 10 in. on a side. How
many square inches of fabric were
needed to cover the two cubes?
Answers
D-64
@ 8,560 in.2
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
63 Creative Publications
What Is Cold And Comes In Cans?
Find the surface area of each figure. Cross out the box containing each correct
answer. When you finish, write the letters from the remaining boxes in the
spaces at the bottom of the page.
1 in.
7 in.
4 in.
,
MU
RI
CH
OW
OP
FO
IL
340 m2
224 in.2
3,120 mm2
148 cm2
80 in.2
3,300 mm*
118 in.2
IB
AR
CL
EA
CA
NS
KE
81.5 cm2
22.6 m2
60.45 cm2
312 m2
145.92 cm2
25.8 m2
406 in.2
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 5-b: Surface Area of Prisms and Pyramids
Why Did Humpty Dumpty Have a Great Fall?
-
Do each exercise and find your answer in the answer column. Write the letter of the
answer in each box containing the number of the exercise. Use 3.14 for K.
Find the lateral area and the total surface area of each cylinder.
'5 crn
412.18 ft2
12 cm
803.84 in?
792.1 6 m*
)do--'*,
251.2 ft2
@ lateral area:
@ total area:
@ lateral area:
904.32 ft2
@ total area:
86l.6 cm*
367.38 m2
376.8 cm*
244.92 cm2
815.1 8 ft2
a
@ lateral area:
@ total area:
11,304 cm*
lateral area:
942 cm2
@ total area:
351.68 f t 2
775.14 in.2
II. Find the total surface area of each cylinder.
@
h = 10cm
533.8 cm2
r = 8 in.
h = 8 in.
271.296 m2
III. Solve.
@
A can of tomato juice is a cylinder with a radius of
7.5 cm and a height of 20 cm. What is the area of
the label around the can?
@
A steel oil tank is a cylinder with a diameter of 12 ft
and a height of 18 ft. How many square feet of steel
were needed to make the tank?
TOPIC 5-c: Surface Area of Cylinders
D-66
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
43 Creative Publications
Mystery: What happened when a 6-year old, a 5-year old,
a 4-year old, a 3-year old, and a 2-year old joined to form a basketball team?
r
Find the volume of each prism in cubic units. Write the letter of the exercise in the
box containing the answer.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 5-d: Volume of Rectangular Prisms
What Movie Is about a Kid Who Ran
Away from Home with His Bicycle?
Find each answer in the answer columns and notice the two letters next to it. Write
these letters in the spaces over the exercise number at the bottom of the page.
I. Find the volume of each rectangular prism.
@ A swimming pool is 20.6 rn long, 8.5 m
@ A classroom.is 26 ft wide, 32 ft long,
and 9 ft high. What is the volume of the
room in cubic feet?
If all the gold that has been produced in
the last 500 years could be melted to
form a single cube, each side would
meas-ureabout 16 m. How many cubic
meters of gold is this?
@ Krispy Kritters Cereal used to come in a
wide, and has an average water depth
of 1.7 m. Find the volume of water
needed to fill the pool.
@ A refrigerator is 3 ft wide, 2.5 ft deep,
and 6 ft high. The walls and other parts
of the refrigerator take up 20 ft3. How
many cubic feet are left for food?
@ An aquarium weighs 22.5 lb when
box with a volume of 2,850 cm3.
However, The Krispy Kritters Co.
designed a new larger box 22.5 cm
wide, 6.2 cm deep, and 30 cm high.
How many more cubic centimeters will
the new box hold than the old box?
TOPIC 5-e: Problem Solving: Mixed Applications
empty. The aquarium is 30 in. long,
14 in. wide, and is filled with water to
a depth of 18 in. Water weighs 0.036
pound per cubic inch. How much
does the aquarium weigh when it is
full of water?
D-68
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Is Big, Gray, and Lives
in California?
I
Find the volume of each prism. Write the letter of the exercise in the box above the
answer at the bottom of the page.
25 in.
' 6 = 52 m2
' 6 = 19.7 cm2
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm69
6 in.
TOPIC 5-f: Volume of Prisms
+ TRIVIA TEST *
1. What Is the Best Way
to Paint a Rabbit?
2. What Candy Do Kids Eat
on the Playground?
Answers
Do each exercise and find your answer in the answer column.
Write the letter of the answer above the exercise number
each time it appears in the code. Use 3.14 for n.
@ 814.13 cm3
@ 565.2 m3
@ 381.36 mL
@ 141.3 cm3
@ 14.8 m3
I. Find the volume of each cylinder.
a
602.88 in.3
@ 675 cm3
@ 7,490 rn3
@ 1,177.5 mm3
@ 452.16 mL
@ 2,260.8 in.3
@ 382.8 cm3
(('r
6 in.
I
a
20 in.
crn
@
r = 8 in.
h = 3 in.
15.4 m3
@ 846.23 cm3
@ 717.8 in.3
@ 376.8 cm3
@ 1,224.5 mm3
@ 7,850 m3
@ 614.2 m3
II. Solve.
@ Shawn is making a candle using a
@
cylindrical mold with a radius of 2 cm
and a height of 30 cm. How many
cubic centimeters of wax are needed
for the candle?
TOPIC 5-9:Volume of Cylinders
D-70
A mug in the shape of a cylinder has a
base with a radius of 4 cm. How many
milliliters of liquid does it hold if filled to
a height of 9 cm?
(Hint: 1 cm3 holds 1 mL.)
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
63 Creative Publications
W h y Did the Elephant Paint
His Toenails Red,Green,
Yellow, Blue, and Purple?
*
Find each answer in the appropriate set of boxes at the bottom of the page.
Write the letter of the exercise in the box containing the answer.
I. Find the length of one side (s) of each square.
0
@
Area
25 m2
S=
n
0
Area
400 ft2
64 cm2
m
cm
S=
II. Find the square root.
@W
QdiG
@dm
(EJR
om
ern
S=
ft
Ill. Simplify.
@1 5 ~
@
@ 252
112
om
am-@
@rn
@mi
@m+m
@ma
@dm
@ d m
@m
@
m+a
Answers for Part I and Part II
7
9
11 12 20 60 30
5
80
4
2
3
50 1 0 1 0 0 6
18 10 121 11 12 0.1 14 25 0.5 15 0.4 0.9 225 7
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-71
90
8
1
5 715 4 625 2
TOPIC 6-a: Squares and Square Roots
Why Did the Teacher Assign
Extra Homework When She
Taught Adolescents?
a
1
-
-
-
Find which two consecutivewhole numbers the square root is between. writethe
letter of the exercise on the number line between these two numbers.
Use the top number line for the first set of exercises, and the bottom number line
for the rest. .
TOPIC 6-a: Squares and Square Roots
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Do Adults Complain So Much?
-
-
-
-
Find the length of the hypotenuse of each right triangle below.
Find your answer in the answer column. Write the letter of the
answer in the box containing the number of the exercise.
A42 ~\
0
0
3
9
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
7
10
D-73
10
Answers
TOPIC 6-b: The Rule of Pythagoras:
Finding the Length of the Hypotenuse
How Would You Describe a Dead Skunk?
Round each answer to the nearest tenth (if necessary). Find each answer at the
bottom of the page and cross out the letter above it. When you finish, the answer to
the title question will remain.
@ Find the length of the hypotenuse of each right triangle.
12 in.
12 in.
@ Kristin and her family lefttheir campsite
@ A rectangle is 6 m
wide and 11 m long.
How long is the
6m
diagonal of the
rectangle?
for a hike. They hiked 5 mi west andthen
2 mi north. How far were they from the
campsite?
I1 m
@ The window of a
@ A television screen may be described
burning building is 40
feet above the ground.
The base of a ladder is
placed 9 feet from the
building. How long
must the ladder be to
4 gl
reach the window?
in terms of the diagonal measure of
its screen. If a TV screen is 20 in. wide
and 15 in. high, what is the length of
its diagonal?
@ A quarterback at
point A throws
the football to
a receiver who
catches it at
point B. How
long was the pass?
B
/
@ The bases on a baseball diamond are 90
25 yd
feet apart. How far is it from home plate
to second base?
-
@ The lawn in front of Pythagoras Jr. High
A/ r
14yd
is in the shape of a rectangle 24 m long
and 10 m wide. How many meters
shorter is your walk if you walk
diagonally across the lawn rather than
along two sides of it?
@ A rope is stretched from the top of a
7-foot tent pole to a point on the ground
1 2 ft from the base of the pole. How long
is the rope?
D
E
S
..
x
E
* a i r r j
~
N
A
X
T
N
O
I
S
N
T
A
C
K
T
-
E
.
+
c
E
u
0
" Z - e
nlmC'C4=nl E a m g b * 0 6 . ~~ n 7j G ~ - 4~ - dw n i ~
c u c~ d d Yr i c * u m~
E
FE
D
TOPIC 6-b: The Rule of Pythagoras:
Finding the Length of the Hypotenuse
E
.G
CI
"
D-74
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative P~~blications
N
Cryptic Quiz
1. What is the opposite of a professional eater?
2. How would you describe a job in the Acme Mitten Co. shipping department?
3. What can be right but never wrong?
For each exercise, find the missing length. (Refer to the
diagram at the right.) Round your answer to the nearest tenth
(if necessary) and find it in the code. Each time the answer
appears, write the letter of the exercise above it.
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
D-75
Ab
a
TOPIC 6-c: The Rule of Pythagoras:
Finding the Length of a Side of a Right Triangle
What Relation Is a Doorstep to a Doormat?
Round each answer to the nearest tenth (if necessary). Cross out the box containing
each answer. When you finish, write the letters from the remaining boxes in the
spaces at the bottom of the page.
F
8
f
a
5
For each right triangle, find the length of the side that is not given.
@ Yuki just bought a big-
@ The mast of a sailing ship is 20 ft tall. A
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?
rope is stretched 26 ft from the top of the
mast to a cleat on the deck of the ship.
How far is the cleat from the base of -the
mast?
32"
@ A 25-foot ladder is leaned against a wall. If
the base of the ladder is 7 ft from the wall,
how high up the wall will the ladder reach?
@ Each side of an
equilateral triangle
measures 12 cm.
Find the height, h,
of the triangle.
A
6
6
@ Two jets left an airport at the same time.
One traveled east at 300 miles per hour.
The other traveled south at 400 miles per
30 m
hour. How far apart were the jets at the
end of an hour?
@ across
As Greganswam
80-meter
river, the current
carried him 30 m
downstream. How far
did he swim?
PL
DO
AS
OR
MA
TE
AM
RU
PF
85.4 m
12 cm
9.8 cm
24 in.
500 mi
26 in.
5.3 cm
10.4 cm
520 mi
ON
AR
UN
PA
TH
IN
AT
ER
AN
25.5 in.
9.4 in.
17.8 m
16.6 ft
87.1 m
9.7 in.
24 ft
18.5 ft
8.3 ft
TOPIC 6-c: The Rule of Pythagoras:
Finding the Lengtli of a Side of a Right Triangle
D-76
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Does a BONE SPECIALIST
Need to Get His Practice Started?
Evaluate each formula below for the given values of the variables.
Find each answer at the left and cross out the letter next to it.
When you finish, the answer to the title question will remain.
where d is the distance traveled by an object moving
at speed r in time t. Find d if
m
r = 32 mlsec, t = 8 sec.
where E is the voltage in an electric circuit with current
Iand resistance R. Find E if
1= 2.5 amperes, R = 60 ohms.
@
v = 9.8 t
where v is the speed in meters per second of a freefalling object after t seconds. Find v if
t = 5 sec.
@
S = (n - 2)180
v
mlsec
where S is the sum of the measures of the angles of a
polygon with n sides. Find S if
where A is the surface area of a cube with edge e.
Find A if
e = 12 cm.
cm2
where V is the volume of a prism with a square base
of side w and with height h. Find V if
where L is the approximate length of a skid in feet for
a car traveling at s miles per hour. Find L if
@ F= 1.8C+ 32
where F is the Fahrenheit temperature equivalent to
Celsius temperature C. Find F if
@
where B is the recommended maximum heart rate
during exercise for a person y years old. Find 8 if
= 4(220 - yl
5
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
D-77
TOPIC 7-a: Formulas
+ + +
Test of Genius
@ Steven has 9 gold coins that are
@ Identical cubes are stacked in the
identical in appearance. However, one
coin is counterfeit and weighs slightly
less than the others. Using a balance
scale, how can he find the counterfeit
coin in just two weighings?
corner of a room as shown. How many
cubes are there altogether?
@ Make this equation correct by changing
@
the position of only one digit.
@ Ms. Smucker went to a store, spent half
of her money and then $10 more. She
went to a second store, spent half of
her remaining money and then $10
more. But she then had no money left.
How much money did she have to
begin with?
TOPIC 7-b: Test of Genius
ABC
ACB
CBA
@ The teacher noticed there were fewer
than I00 students on the playground.
When she counted them by 2s, there
was 1 student left over. In fact, when
she counted them by 3s, 4s, 5s, or 6s,
there was always 1 student left over.
How many students were on the
playground?
curlicues equal 3 goofups, then 16
widgets equal how many goofups?
Draw the figure below without lifting
your pencil from the page or tracing
over a line previously drawn.
In the following addition problem, the
letters A, B, and C stand for three
different digits. What digit should
replace each letter?
+
@ If 8 widgets equal 4 curlicues and 2
@
+++
@ In the Hope family there are seven
sisters, .and each sister has one
brother. Including Mr. and Mrs. Hope,
how many are in the family?
Dm78
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
How Can You Find a Double-Decker Bus?
~12
For each exercise, circle the letter of the more reasonable measure. Write this letter
in the box containing the number of the exercise.
"1%
The chart gives an approximate size for each of the most
commonly used metric units of length.
-11.
al;
4?
-
a
11
a
a
a
l
II
II
11
11
%
II
8
8
8
6
1s
8
uP
-t
-g ue u,
ue
E
r
18 18 18 19
1%
8
- = = s = g c ,
@ length of a new pencil
@ length of an ant
Q5mm
~ 5 c m
A lgmm
30,
0 3 .
@5km
@ 24 km
@3cm
~ 2 4 k m
@85km
K 75 mm
@2mm
oiirn
T 400 m
S 50m
0 6 6 m m
@28cm
E
o
E
I
:
R 28 mm
@ distance from New York to Los Angeles
@ height of a door
M 20cm
0 4 0 km
@ length of a sheet of typing paper
@ width of a dollar bill
N 66cm
@75cm
@ length of a marathon race
@ length of an automobile
:
AllMm
@ height of a dining table
@ thickness of a nickel
E-2Omm
S3Ocm
@ distance driven on a freeway in 1 hour
@ length of a tennis court
O 2 4 m
B50m
@ length of a paper clip
@ diameter of a quarter
G 24cm
@19cm
@ distance walked in 1 hour
@ height of a basketballhoop
"
@@@@@lo
length of a baseball bat
1 meter (m)
D 450 km
0 2 .
7 2 1 4 4
1 2 9 1
1 1 3 6
1 5 8 1 0
1 6 5 1 3
C O O K
F O R
T H E
BUS,
T O P
D-7
II
TOPIC 1.a Length
I
I2
Z
@B
= S
4.500 km
-
E
T.
N
f
1s
II
II
O
:!IB
r
c
II
n
1B9 19B
5
6
5
%
h
z
a
g
go@@@@
D-8
TOPIC 1-b Measuring Line Segments Wnh n Ruler
Why Are Scales Like Roadmaps?
Do each exercise and find your answer in the set of answers to the right, Write the letter of the
shade in the
answer in the box containing the number of the exercise. If the answer has a
box instead of writing a letter in it.
e,
Answers 1 - 3:
@ How many cm are in 1 m?
@ How many m are in 1 km?
100
1.000
II. Complete+ach statement. You are changing eadrmeasure to a smaller unit
-
Answers 4 11:
@ 8.3m
=
830
cm
27.5 km =
27,500
m
o
8
In
$
%
R
N
a x
g 8
0
0
-
Answers 12 19:
-
TOPIC 1-c. RenarnmngUn~fsof Lengch
-
D-9
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
TOPIC
D-79
1 .C
Renarn~ngUn~fsof Lenglh
D-10
ANSWERS
What Did the Finger Say to the Thumb?
What Do Salmon and Cod Use When They Go to War?
Choose the correct answer for each exercise. Write the letter of the answer in the box
containing the number of the exercise. The table below may help you.
Choose the correct answer for each exercise. Find the letter of the answer in the
string of letters near the bottom of the page and CROSS IT OUT each time il
appears. When you finish, write the remaining letters in the rectangle at the bottom of
the page. The table below may help you.
C
I. Choose the more reasonable estimate of capacity.
1 a pot for cooking
K 2kL @ 2 ~
I. Choose the more reasonable estimate of weight.
O
(959
@ aswimmi51
ABOL
@ a postage stamp
@ a nickel
a s k g
@kg@70kg
@ a 12-year-old child
@ a lemon
0 OkL
@ a bowling ball
@60ga60mg
@ a postcard
- ~ ~ O ~ ~ ~ ~ , ~ + O ~ + + + + ~ ~ ~ W ~ ~ ~ ~ ~ V + W + ~ ~ ~ ~ : . ~ O ~ O ~ ~ + O@.1 P
W ~ + ~ O ~ ~ +@40kg
~ W ~ W a~ 4~ kO gO ~
2 gI I@120g
II. Complete each statement.
@ 8.5 L
@ 0.4L
@) 90.000 mL
=
=
=
n,
m
Y 90
@6.5g
= 6!Swmg
mL
U 1.750
W 40.000
@
=
L
0 8,500
F 32
0 4,000
1 0.75
90
@ 1.75 kL
=
4750 L
@40kL
-$O,OOOL
@ 3,200 L
;
.
=
B
a
S
0.25~
@?SOL
II. Complete each statement.
YO0
;
.
@.250m~
-
Answers 7 14:
~
S 900
R 175
G 0.25
1 400
T 3.2
0.7skL
3.2
25
U 7.5
kL
@75g
-
Answers 7 14:
600
mg
0490
00.133
@4,9OOmg=
4.q
g
@ 800
@ 60.000
@ 133mg
@ 7.25 kg
@ 60 kg
@ 250~
@ eo,ooo g
= 0.133 g
@ 725
-
@ 6,500
@ 13.3
@ 7,250
@ 80
065
0.eg
=
0.25
kg
@ 2.5
@ 4.9
@ 0.6
=
86
kg
@ 0.25
=
m
g
&0!000 g
Answers 15 - 16:
Ill. Solve.
2 ~ w 9 9 + ~ 9 9 ~ ~ 9 0 0 9 0 9 ~ W 9 9 9 W ~ 9 ~ W 9 V ~ O 4 O Z 9 O 9 9 O . ) O O O O O < ~ O ~ O O O O O O ~ ~ O ~ ~ O
Answers 15 - 16:
Ill. Solve.
15 Ms Sparkle bought 12 cans of diet soda. Each can
contained350 mL. How many liters of soda did she buy?
O
O
16 Chef Pierre made 6.4 L of creamed carrot soup. If it is
served in 200-mL cups. how many cups can be filled?
4'2
32
15 An average orange weighs 270 g. How many kilograms
doesabagof8orangesweigh? 2. 16
16 A vitamin tablet weighs 1.2 g. It contains 150 mg of Vitamin
C and 250 mg of B Complex vitamins. How many
milligrams of other ingredients are in the tablet?
O
O
4.2
L 32
01.96
a 8 0 0
800 @ 920 @ 2.16
# A f I ~ f @ B l # ~~ B
f ~ H $ T P ~ B A I $ N % ~ K ~ P s
N 5.4
Answer to puzzle:
I'M $N GWVE
@mg
F lSH TANKS
W I T H YOU
D-11
D-12
TOPIC I.B' wmmt
TOPIC I-d: Capauw
What Should You Study to Learn
How to be a Cowboy?
(0
"'4
Cn
00000 1- @@@@.@
1
Cross out the letter next to each correct answer. When you finish.
the answer to the title question will remain.
8a k'
I. Complete each statement.
@4
X-
's;
k
@ 7 min = -0sec
h t w m i n
@2h30min=(50min
@5min10sec=~sec
@
@ 540 sec =
180min=&h
@8
@3
0
it
0 m i n - I h z m i n
d = 7 2 h
@
@
min
1 3 5 s e c = ~ m i n ~ s e c
3d=qA&in
h
h
II. Add or subtract. Simplify if possible.
4
'
2 h 3 0 min
@+3h45min
m
h
b h i n
5 rnin 4 0 s
@ + 8 min 50 s
7 h 8 rnin
@ + 2 h 43 rnin
1r)m;o0s
q h 5lm;rr
X
@
'u
8minlOs
-3min30s
k
Ymirr 405
h
W
@
-
12h25min
5 h 45 rnin
6 h rCorn;n
@-g2;32s
\
B
II h
b;
@
32rnin50s
-17min24s
15mh 265
@
- 25 dd I l4hh
24 I7h
s-3
+
P
III. Solve.
20 It takes 15 h 20 min to travel from Los Angeles to Salt Lake City by
train. It takes only 2 h 38 min to fly belween the two cities. How
much longer does the train take? 1
h L( 1 fi
O
w
k
D-13
ANSWERS
TOPIC 1.I:Review: Capadly and We~phl
TOPIC 1 -g Time
D-80
2
D-14
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
-
Why Do Elephants Lift Weights?
l
Measure each line segment below to the nearest one-eighth inch. Find
your answer in the answer column. Write the letter of the exercise in the
box containing the number of the answer.
R IS k
0063
.i~
3+ in.
i@
i 0+
2% in.
a
in.
5f
in.
4f
in.
i @ 4+
in.
a
.i
5
.i a
i@
ia
O@O
2
5
0,
in
J
5
C
2
19 la I t
0
=.wg.E
18
fi 2
$2
g.s
E .g
=e
88
Eg
A
.i a
.i@ I+
.i0 +
.&
.im
.i @@
.i @
OO@
c
O''
2% in.
+.kin-
i
la IZ
@@@
in.
I
in.
1
in.
4 3 in.
2+ in.
c
c
c
2 in.
0
4% in.
12 I2 I8
T o @ @ @
T O QET
D-15
3+ in.
i @ P in.
UJ "
1
= .
=.
5$ in.
b
-
--
3$ in.
TOPIC 2-a. MeasurinpLine Sepmencs Wnh a Ruler
mela
EXTRA S I Z E
TOPIC 2-a: Measuring ~ine
segments ~ i *RUM
~ h
D-16
E
L
What Is
the Title?
F
PICTURE:
Do each exercise below. Find your
answer in the code and write the letter
of the exercise above it. (Each answer
CODED TITLE:
S f I D E R
D O I NCI
----------72 1;20 5;9 11;2 3
15
98
4
3;l
18
12
61
A
H A N D S T A N D
-----------8 3 6 24
7
5
29 126 36 10;6 60
1;7
8
100
*
I. Answer each question.
N How many inche
are in 1 foot?
t4
G
&
E How many feet
are in 1 yard?
II. Complete each statement.
You are changing each measure
to a smaller unit.
Ill. Complete each statement.
You are changingeach measure
to a larger'unit.
@2 b Z i i
@ 5ft=&in.
@48in.=&n
n .
@19in.=
01 f t 6 i n . = a i n .
3
t.(
1
K
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
in.
9
in.
@ion=
J
@35n=
11 vd 2 n
g y d 2 ~ = Z q n
@ 20yd 1 ft=&ff
@ 2 yd =
in.
@ 3 yd 18 in. = E 6 i n .
TOPIC 2.W
D-81
7
ft
0f i Y d = E n
a
TOPIC 2-a: Maawnnp Line SegmentsWilh aRuler
ft
02 4 t t = X y d
C
D-17
5
lin. =
@ 8A4in.=Ein.
2
9
D How many inche
O
are in 1 yard? &
3
Renarn~ngUnltr of Length
vd
1 n
@l80in.=Lyd
@ 56 in. = 1 yd 20 in.
0366 in. =
( 0 yd 6 in.
D-18
ANSWERS
NOTE: Students are to estimate, not measure, these angles. You may want
to provide 4S0, 90°, and 135' angles for them to use as models.
Why Did the Brontosaurus Need Band-Aids?
For each exercise, circle the letter of the best estimate. Write this letter in the box
containing the number of the exercise.
Books Never Written
Beginning Your ExerciseProgramby
6 E
SouEA
bf
57' 99' 119'
137' 173' 85'
R 1
Checking Your Homeworkby
76'
33'
How to Leadthe Bandby
M A R
S
38" 62" 33'
90'
156" 33'
28'
99'
33'
t(
47' 125' 28'
14'
A
L
62'
41' 173' 119' 125'
G
0
ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE
THE NAMES OF THEIR AUTHORS:
@
m~Pisabout
835'
@
@70°
@ mLX is abo
65'
t
&O0
mLGis about
is about
L 55'
O
a 5 0
Measure each angle below and find your answer in the code. Each time the answer
appears in the code, write the vertex letter of that angle above it.
F30°
173'
P 15'
@
m f CAD is about
U 65" 0 9 0 "
@
@ mLPOO is about
V 40'
L 25'
a 5 0
15 mLZis about
7
5
G40°
mLBADis about
G 100' @30°
bogs;
FOR H 6s DtNo SORES
D-27
D-28
TOPIC 3-4: Measunnp Atqler Wilh a Protractor
TOPIC 3.c:
Esltmal~ngAngle Measurer
W h y I s a Party Like
Pouring Oil Into a Car?!
i
Do each exercise and find your answer at the bottom of the page. Write the letter
of the exercise in the box above or below the answer.
!
:
I. Find the measure of the angle that is complementary to the angle having
the measure given.
@ 67' 23. @ 14'
@ 20' 7 0 °
@ 81'
76O
@45035~
II. Find the measure of the angle that is supplementary to the angle having
the measure given.
@ 560124'029' 151'@
@ 1200 60°
162'
la0 @ 8 3 0 9 7 ~
Ill. Find the angle measure that is not given.
151'
76'
64'
56'
62-5'
1I (~151I~HICREII T I H I E J
43"
D-29
ANSWERS
TOPIC 3.1
TOPIC 3-e: DrawingAngles With a Protractor
Dm84
125'
97'
60'
36"
Compiemsntary and SupplemenlawAngles
124'
23'
145"
17'
FJUNIFIEIL
37'
18'
30'
70'
133'
9
'
ISE~
108*
113'
Dm30
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Couldn't the Two Elephants Go Swimming Together?
Give the measure of each numbered angle. Find your answer in the Code Key and notice
the letter next to it. Write this letter in the box containingthe number of the angle.
(Assume that lines in each fgure that do not intersect are parallel.)
LEBC is a right angle.
LDCE is a right angle.
h Street is parallel to 6th Street.
LFCH is an acute angle.
LECH is an obtuse angle.
h Street is petpendicuiarto Elm Avenue.
m Avenue is parallel to Disk Drive.
LABE is an acute angle.
Perpendicularlines intersect to form right angles.
Parallel lines never intersect.
Elm Avenue is perpendicular to Oak Avenue.
What Do You Get When You...
1. Cross two ducks with a match?
Answer:
FLBL-G+L!=A..J$-G&+
37' 57' 99' 67" 104'76
59 113 42 53 67 99 18
2. Cross a stick of dynamite with a lemon pie?
A-BQLLM-HEE~L~~EL
~nswer:
113°660 63' 34" 34' 54' 38' 54' 67' 99
57' 90' 36" 59" 67"
Find the angle measures indicated. Look for each answer in the code. Each time the
answer appears, write the letter of the exercise above it.
@ ~ L J =3k0
@ ~ L W O X - (80
@ ~ L x z Y = L ~ ~ ~
@mLPOR=1(3°
@ ) ~ L D A B = ~ O ~
@mLPQT=67°
@ ~ L D A c = ~ ~@ ~) m ~ Y = 5 9 0
@ mLM= 5 3 O
@ mLE= 6 3 O
@ mLBOC= 9 9 O
D-35
TOPIC 3-k. Revlew
Related Angles
TOPIC 3-k' Rev~ew.
Aelatsd Angles
NOTE: Students are to assume that sides that appear parallel are parallel,
and sides that appear to be perpendicular are perpendicular. Encourage
students to write the name of each figure under it.
D-36
Why Was Cinderella Kicked Offthe Baseball Team?
Can a Polar Bear GO On a Safari?
For each exercise, circle the letter of each figure that belongs in the category named.
Arrange these letters to form a word. Then write this word on the line next to the
name of the category.
(You may assume the following: sides that appear parallel are parallel: sides that
appear perpendicularare perpendicular;sides that appear congruent are congruent.)
@
@
@
@
1 quadrilaterals: _S)-tE
rectangle
trapezoid
square
...............................................................
@
parallelogram
rectangle
nl y T
@
@
@
trapezoid
parallelogram
...............................................................
9 0$
...................*..............
rhombus
z:oid
@
@
parallelogram
@
@
rectangle
@ rhombuses:
rectangle
F
....V**...**~******.***.*.*
1
2
3
N O T
4
5
8
7
8
9
10
rhombus
11 12 13 14 15 16 17 18
S A F A R I S
1
% H O W
TOPIC 3.1 Quadrtlaterals
D-37
ANSWERS
D-38
TOPIC 3-1: Quadnlalerals
D-86
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Didn't the Snobbish Potatoes Want Their
Daughter to Marry a News Broadcaster?
Why Do Ants Visit the Zoo on Cold Days?
Write the word missing from each statement in the boxes next to the statement.
Notice which letters are in numbered boxes. Write each of these letters in the
matchingnumbered box at the bonom of the page.
Under each figure, circle the number-lener combinationnext to each word that
correctly names the figure. Write the letter in the matching numbered box at the
bottom of the page.
O
1 A triangle is a
O
5- parallelogram
13-1 rectangle
4-D rhombus
with three sides
2
A polygon with four sides and
fourangeisa
.
3
A polygon with five sides and
five angles is a
.
O
Po L Y ~ o &
and three angles.
IQ~U]AD~#I
L & ~ E ~ A L
P E N ~ A A O ~
@ A rgygon with six sides and six angles
; ; : :@
; :A
@ A r!gon
@ In ;t~:
with ten sides and ten angles
set of figures above. Figure A
@ Figure 0 is an
21 -E parallelogram
A E % A ~ & ~ J
is a polygon with eight sides
d!i E X A C O ~
.
@ Figure C is a
.
@)
.
Figure D is a
~ c - f ~ a o ~
IPEN~AGON
D€CX,corJ
11 The point of intersectionof two sides of
a polygon is called a
.
O
O
O
12 A line segment (not a side) connecting two
vertices of a polygon is called a
aquadrilateral
12-0 parallelogram
24-N trapezoid
3-8 square
D-39
ID
.
13 A polygon with all sides the same length
and all angles the same measure is
called a
polygon.
TOPIC 3.1
Ouadr~laterals
NOTE: Part II of this puzzle introduces students to the concept of
corresponding parts of congruent triangles.
I A
& 0 fi A
L
R ~ C U L A &
3 4 5
6 7 8 9
10 11 12
13 14 15
16 17 18 19 20 21
GET
NEAR
THE
ANT
HEATE~z
0-40
TOPIC 3-m: Pn~ygons
NOTE: This puzzle deals only with the congruence of angles in similar
triangles. The proportionality of sides in similar figures is the topic of page E-12.
Why Couldn't Orgo Buy a Round Trip Ticket?
Follow the directions for each section. Each exercise will give you a number-lener
pair. Write the lener in the matching numberedbox at the bottom of the page.
I. Find each pair of congruent figures. Use the number from one figure and the letter from
the other.
II. Complete each statement, then find your answer in the answer column. Use the number of
the exercise and the letter of the answer.
-
ADEF
AJKL
AXYZ
- AHPV
AOGW
- ANMU
AEFG
- AHIG
ATLC
- AOKC
ARST
Answers 6 - 11:
AABC s AEDF
@ZEPPE
-
AABC
@LAPLE
B D
-
ASKM r ANGJ
Answers 12 17:
@"
@LG
ARHX s AWL
D-41
TOPIC 3.n. CongruentPolygons
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 3.0
Dm87
S~m~lar
Tr~englss
D-42
ANSWERS
V' What Did the Secretary Say 0
to Her Boy Friend? Q 'v*
What Did the Waitress Mean
When She Yelled to the Cook:
"1 + I"?
Fill in each blank with one of the answers at the bottom of the
page. Then write the letter of the exercise above its correct
answer.
The figure at the right is a circle with center at 0.
For each exercise, circle the letter of each figure that is divided by a line of symmetry.
Arrange these letters to form a word. Then write this word on the line next to the
exercise number.
A
@ The points on a circle are all the same distance from the m.
@ A line segment from the center to any point on the circle is a &
@ A line segment with both endpoints on the circle is a
A chord that passes through the center of a circle is a d a f n ~ t ? ~
.
@ A diameter of the circle in the drawing above is the segment
@ Which of the following is not a radius: m,m,or B m KC .
@ Which of the followingis not a chord: z,m,or
TA .
@ Part of a circle, such as bedeen points 8 and C. is an A CC. .
@ An angle whose vertex is at the center of a circle is a CPn+ra I angle
@ Which of the followingis not a central angle: LAOD. LCOD, or LBCA? UCA.
@ Points A, B, C, and Dare all the same-from
point 0.
@ If the length of x i s 20 cm, then the length of =is .@ If the length of m i s 20 cm, then the length of m i s 7ncm .
@ If the length of m is 20 cm, then the length of is
em .
@ The length of a radius is ha lf the length of a diameter.
@ The set of points in a plane at a fixed distance from a given point is a m.
a
I
t
a
O N E
$
z
~
c
$
I S
O N E
P L U S
~
$
c
%
E
g c e l o o I c o C c 0 . cs
0
c u g m
~
y
-0
5
r
~
oO.=
m
E
~
o
"
'
@) IlYP-E.
d
~
~
~
p
4
1
1
~
8
~
.
'
+
~
~
8
~
9
/
0-43
1
4'
TOPIC 3-p C~rcles
TOPIC 3.q
NOTE: Encourage students to write the name of each figure under it. You
may. want to have students make a table giving the number of faces, vertices,
and edges of each polyhedron.
D-44
Loner 01Symme~ry
Why Did the River Guide Carry a Rifle?
$
.:'.:
Find the PERIMETER of each figure. Cross out the box containing each correct
answer. When you finish, write the letters from the remaining boxes in the
spaces at the bottom of the page.
tn
OO@OOO@@O@OO
2.9 km
0.9 m
1.8 m
24 in.
24 in.
2.5 km.
40 cm
3s ft
200 Ckr
@ Find the perimeter of a sheet of
14 How many feet of border are needed
to go around a square bulletin board
that is 4.5 ft on each side?
O
typing paper 8 3 in, wide and 11 in.
long.
llrr f?
39 ih.
TO
TOPC 4-a:
D-45
ANSWERS
Perimeter
snoot T n t RAPIDS
D-46
TOPIC 3-r. Spaca F~gurer
D-88
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
NOTE: You might want to have students draw and label a diagram for each
exercise.
Why Did the Piano Player Bang Her
Head Against the Keyboard?
What IS
the Title?
Find the circumference (C)of each circle, given the diameter (d)or radius (r).Use
3.14 for n. Draw a straight line connecting the square by the exercise to the square
by its answer. The line will cross a number and a letter. Write the letter in the
matching numbered box at the bottom of the page.
PICTURE:
Do each exercise below and find your
answer in the code. Each time the
answer appears, write the letter of the
exercise above it.
CODED TITLE:
521 6.3
A 15.75
l 42L 16.6Q70 R
E L . S H L ~ ~ 215 15 15.75 21 16.5 15.75 96 65.6 19
I. Find the perimeter of each figure.
0 Triangle with sides of 8.2 cm.
O
3.9 cm. and 4.5 cm
B Rectangle with sides of 22 in.
and 28 in.
M i n .
ik&m
@ Square with sides of 16.4 m 6 5 L 6 m
E
Parallelogram with sides of
40 cm and 75 cm
@
htw
?i;$":;;
m
c
I
O
m
Equilateral triangle with sides
of 5.25,
H Regular hexagon with sides
of 2.75 in.
sides
I53J51
16.5in.
...............................................................
@ Rhombus with sides of 50 ft 200 ft
km
*
II. Solve.
L
The width of a large American flag is 8 ft.
Its h g t h is 5 it more than its width. Find
its perimeter.
L)l ft
M The perimeter of a square window is
360 cm. Find the length of one side.
O
R A pennant is shaped like an isosceles
triangk The short side is 14 in. long and
is half the length of each longer side. Find
the perimeter of the pennant.
in.
a
O
The width of a rectangular poster is 16 In.
Its length is Mice its width. Find its
perimeter.
in.
F
The perimeter of a triangle is 38 ft. One
s~deis 14 ft long Another side is 9 ft h g .
How long is the third side?
fl
O
cm
O
N
@ d=3cm
@ d=8in.
@ d=7cm
@ d=4Oin.
@ d=9.2cm
@ d = 1.5in.
@ d=600m
@) d = 23 in.
@ d=lOcm
@ r=lm
@ r=6cm
@ r=l5in.
@ r=2.2cm
@ r = 48 ~ n .
@ r=3.9cm
@ r=2.51n
@ r=2.5cm
@ r=50m
S The longest side of a triangular sail is 9 m
long. The second side is 1.5 m shorter
than the longest side. The third side is half
the length of the longest side. What is the
perimeter?
-Urn
O
1
2
3
C = 125.6 in.
C-31.4cm
C = 94.2 in.
C = 9.42 cm
C = 72.22 in.
C = 301.44 in.
C = 25.12 in.
C = 15.7 in.
C = 28.888 cm
C = 13.816cm
C = 15.7cm
C-21.98cm
C 5 6.28 in.
C=314m
C = 4.71 in.
C = 37.68 cm
C = 24.492 cm
C = 1.884m
5
4
6
7
8
TOPIC 4-a
10
11
12
13
14
15
16
17 18
B E~ A R
G
D-48
TOPIC 4.b C~rcvmlerence
D-47
9
S H E W A S P L A Y r N
SHE W A S ?LAVINE* 6 V @PILL
Penmeter
What Does a Tuba Call Its Father?
Give the number of square units in each figure. Find your answer and cross out the
letters above it. When you finish, the answer to the title question will remain.
I
I
I
I
I
I
I
P
- - I - - -1
1
1
.
&
2
1
zn
7
u>5
-
, ,,
OOOW
D-49
TOPIC 4.b C~rcumlerence
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
TOPIC 4.c
Dm89
Area of Rectangles
PAPA
D-50
ANSWERS
NOTE: Students need metric rulers for this puzzle.
Why Do Elephants Have Ivory Tusks?
hat Did the Baseball Coach Look For in Space?
Do each exercise and find your answer in the answer columns. Write the letter of the
answer in each box containing the number of the exercise.
Measure the length and width of each rectangle to the nearest cm.
Then compute both the PERIMETER and AREA. Find both answers in
the rocket and cross out the letter next to each. (For answers that
appear more than once in the rocket, it doesn't matter which one you
cross out.)
When you finish, the answer to the title question will remain.
V)
'Q
‘P
LT
I. Find the area of each figure.
*cF
W
'9
20 em
*a
L
C
2
8 in.
~ 22 e ~m
5
28 cmf.
I-
~
16 cm
II. Find the area of the shaded region in each figure.
\
'Q
Q
'
x
b
Ill. Solve.
V)
10 A bedroom is 15 R long and 12 Rwide.
HOW much will it cost to carpet the room
if carpeting costs $22 per square yard?
(lyd=3R)
O
-I
'Q
24cma
kl
\
ANSWERS
1
6
..........................
@ 219 ft2 @ 68 in.2 @ 251 ft2 @ 124 cm2 @ 21 m2 @ $440
@ 20 m2 @ $520 @ 108 in.2 @ 24 m2 @ 88 112 @ 19 m
135cm2 @ 171 ft2 @ 1 6 m
@ 165112 @ 119in.2 @ 1 8 m 2
4
a
'r
m
$4..~.......................
11 A rose garden in the city park is
rectangular and is 9 m wide. If the area
of the rectangle is 144 mz, what is the
length of the garden?
m
O
30 cm2
a
Z Icm'
(RON
D-51
TOPIC 4.c: Area ol Rectangles
ONES
WOULD RUST
TOPIC 4.c Area at Renangles
D-52
How Was the Wooden Marionette
Related to the Wooden Diving Board?
What Happened to Mr. Meter When Mrs.
Meter's Mother Flew in for a Visit?
Use a calculator to solve each problem (rounddecimal answers to the nearest tenth).
Find your answer in the answer column and notice the two letters next to it. Write
these letters in the spaces over the exercise number at the bottom of the page.
Cross out the box containing each correct answer. When you finish, write
the letters from the remainingboxes in the spaces at the bottom of the page.
I. Find the PERIMETER and the AREA of each parallelogram.
WORLD RECORD: The largest jigsaw puzzle ever made was 85 by
55 Rand had 15,520 pieces. It was constructedby the United Way in
Keene. New Hampshire.
1 What was the area of the puzzle in *?
67s R2
673; 200 in.2
2. What was the area of the puzzle in in.??
4:
4304
3. What was the averagesize of each piece?
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
in.2
WORLD RECORD: The world's largest quilt, designed by A. Platteau.
measures 69.6 by 99.5 R. It was made from 16.140 equal-sized
squares sewn together.
6,925.2- ~2
4. What is the area of the quilt in R2?
5. what is aarea of the quilt in i n n
6. What is the area of each square?
99T42 2 8 q 8 i n . 2
6 J ,8 in,2
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
WORLD RECORD: The world's longest buffet.taMewas 3.304.8 ft long
and 8.2 Rwide. On June 19, 1.982, approximatery 4.000 people,
including HM The King of Sweden, were seated at the table.
7. What was the area of the table?
8. What was the perimeter of the table?
1.7
n
WORLD RECORD: The largest American flag ever made was first
displayed on March 22, 1960, and measures 411 by 210 R.
$ 6 , 31 0
q,Sqo
10. What is the area of the flag in R2?
11. What is the area of the flag in yd2?
12. The fabric used for the flag weighs
about 1.6 Ib per ydz. About how much
does the flag weigh?
rwav HAD
1 1 0 1 4
THE
AIMI
yd2
I
gg7,228.6
@ 465
@ 7.130
@ 673.200
@ 15.344
@
12 rn
27'099'4
@ 2.1
I
@ 4.675
@ 86.310
@
0.7 m
II. Solve.
917.106.6
7
O
TOPIC 4.6.
@ 6,626
@ 14.904
@ 61.8
@ 4.835
@ 9.590
@ 43.4
(@ 83.820
The base of a parallelogramis 10 in.
The height is 2 in. more than half the
base. Find the area. 7 0 ;0 .a
9 The area of a parallelogram is 60 sq R.
O
The height is 5 R. How long is the
base?
12#+
8 The height of a parallelogramis 4.5 cm.
O
The base is twice the height. What is
the area? yo.S e m a
10 The area of a parallelogramis 375 cm2.
The base is 25 cm. Find the height.
O
I S C ~
028,186.4
I L Y ~ IUEIE
1 8 1 1 1 2
FAMILY
D-53
ANSWERS
n2
153't3 lb
I*IEI~ IHIAIO ITH (€IS 14 IMIEIF
1 7 1 9 1 1 5
@
6,925.2
I
. . . . . . . . . . . . . .
3
@ 1.7
':*:
@'
9. If 4,000 people were equally spaced
around the perimeter of the table,
how far apan were they sitting?
T
Answers
1 2 1 6
TREE
usmg a Calculator
Pertmeter and Area
TOPIC 4-w Area o( Parallelograms
Dm90
D-54
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
N
What Happens When the Smog
Lifts in Los Angeles, California?
d
E
Find the AREA and the PERIMETER of each triangle below. Look for both
answers in the rectangle. Shade in each area containing a correct answer.
2 m
wrna8
7m
6mi
p
j
10 m
@A
30 cm
28 -0c m
8.2 cm
25 cm
I7cm
12.4 cm
22 cm
14mI
15 m
so n
-13
,
,
a ;to,Bcm
17cnt
@ b.6m
1 4 cm
3
D-55
TOPIC 4.1
Area 01 Tr~angles
TOPIC 4.1 Area01
NOTE: Units of measurement were omitted in the answer columns. Students
are asked to fill in the correct unit for each answer chosen. In this way, they
should become more aware of the units involved.
r.35ma@
I 1.5 m
3m
D56
Trlangles
What G a m e Did Tarzan Like to Play?
Do each exercise below. F~ndyour answer in the answer columns and notice
the letter next to it. Look for this lener in the string of letters near the bottom
of the page and CROSS IT OUT each time it appears. When you finish,
write the remaining letters in the rectangle at the bonom of the page.
o
I,*-
I. Find the area of each trapezoid.
ma 20 m
140 m
6 in.
10 cm
16 in.
l.5m
7 It
3.2 cm
@
2.8 m
2:::::
9
b, = 70 cm
,=3,cm
h =25cm
0
h = 5.0 m
I , 2 50cm a
II. An artist designed a base for one of his sculptures with the dimensions shown.
The top and bottom are rectangles. The sides are isoscele~.trapezoids.
@ Find the area of the front face
@ Find the area of the side lace (12 cm base).
@Findtheareaoftheto
r %oc&
bOems
:6 cm
20 cm
C
@ 1.400 m2
@ 95 cm2
@ 77 ft2
d f t c ~ ( ~ R I ~d fPd P' IAz B A
Answer to puzzle: c
z y APES,
TOPIC 4.h
D-57
Area 01 Tfapez~lds
@)
Y
~
1,250 cm2
@ 4.5 m2
~ AC ~ V Pq Id p
E l s bJ
D-58
TOPlC 4.9 Renew Penmeter and Area ol
Rectangles Parallelograms and Trnangles
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Dm91
ANSWERS
ula
c.5
000 0063
"i
e
@@a
'-
D-59
TOPIC 4.1 Rev~ew.
Cucumterenceam Area 01 C~rdes
TOPIC 4.1 Area of C~rcles
NOTE: Units of measurement were omitted in the answer columns. Students
are asked to fill in the correct unit for each answer chosen. In this way, they
should become more aware of the units involved.
How D o You G e t a One-Armed Monkey
Down From a Coconut Tree?
Why 1s a ~ a t h e r n a t k i a nLike an Airline?
Solve each problem. Use 3.14 for n. Find your answer and
cross out the letter next to it. When you finish, the answer
to the title question will remain.
Round each answer to the nearest hundredth (if necessary) and find it in the
appropriate answer column. Use 3.14 for n. Fill in the correct unit of measure for
each answer you choose. Write the letter of the exercise in the box containing
the number of the answer.
1. A circle has a radius of 12 in. Find:
@ The diameter of the circle.
24 in
-
.
Answers 1 3:
a
2. A circle has a radius of 4.4 cm. Find
3
3. A circle has a diameter of 60 m. Flnd:
(ijThe radius of the circle 30rn
@ The circumferenceof the circle. I 88. Gm
@ The area of the c~rcle.2 ,026mL
4. A circle has a diameter of 1 8 km. Find.
@ The radius of the circle.0.q km
@ he circumferenceof me circle. 5.65
@ The area of the ctrcle. 2 Sq hm
5. Solve.
B Jack's COW is tled to a beanstalk with a piece
of rope that IS 15 lt long. What is the area of the
circle in which the cow can graze?
06.S e
O
O
O
T
I . Find the diameter of a circle if the circumference is 8 cm. Round to
the nearest tenth. 2, 5 q m
- 5:
2 Find the diameter of a circle if the circumferenceis 24.5 m. Round to
the nearest tenth. 7 0
@27,63co @
@The circumferenceof the circle 7 5 - 3 6in,
The area of the circle. l+52. )6 in. t
@) The diameter of the circle. 8.8
@ The circumferenceof the circle. 27. 6
@ The area of the circle.
7 q -2.
Answers 4
7
@ 61.43
@)
@ 3 0 m
05,174
@ 75.36 ;tl.
~
~
@ 461.36
@8.8~m
@ 172.4
@ 24 in.
@ 60.79"""
@ 2.826 ma
@ 24.930
@ 2.54 km
@ 0.79 ma
@ 0.9 km
@
3. The largest living thing on earth is a California sequoia tree named
the "General Sherman." The circumference of its trunk is about 82 it.
Find the diameter of the trunk to the nearest whole number.
706.5-h'
uft-
4. A revolving water sprtnkler sprays water in all directions to a distance
of 25 it. What area does it cover? Round to the nearest 10 it2.
1,960 $ti
5. Pizza Mind Pizza sells a large pizza with a diameter of 14 in. and a
medium pizza with a diameter of 11 in. Find the following to the
nearest whole number:
A. The area of the large pizza.
in
B. The area of the medium pizza. q J i
C. How much larger is the large pizza?
59 in.2
g42ft
@5.024*i
@ 25.51
@ 188.4 1*1
@ 5.65 km
@ 0.87
@ 2'516
@
6. Nlck Claus plans to have a model train running in a circle around his
holiday tree. How many feet of track will he need if the diameter of We'
clrcle IS 9.5 it? Round to the nearest whole number.
30 +t
7. A record has a radius of 15 cm. The label
has a radius of 6 cm. Find the following
to the nearest tenth:
A. The area of the record 706.5 c m
(including the label).
B. The area of the label. 1 13.0 ma
C. The area of the record that is
not covered by the label.
3.
Sq
a
8. The diameter of a basketballhoop is 18 in. The circumference of a
basketball is 30 in.
A. Find the diameter of the basketball. 9 . 6 in
Round to the nearest tenth.
B. How much less is the diameter of the basketball than the
in,
diameter of We hoop? 8 ,
A round game table has a diameter of 1 m. How much plastic
kmtnate is needed to cover the top of this fable?
ma
0.79
i
4
9. A circle is cut out of a p~eceof
plywood that is 10 in. square.
The scraps are thrown a w a y . 7 $ , ~
A. Find the area of the circle.
8. How many square inches of i
plywood are thrown away?
L WORLD RECORD: The world's largest Ferris Wh
London in 1897 The wheel had a radius of I50 i t
you travel in one tum of th~swheel?
O
q 42 ft
21.5
ANSWERS
[]
n- y,'' '..
TOPIC 4-k. ProblemSolang: Mu& Appllcsnons
Dm61
.*
IS+
@ 690.5
@ 2.91
@4521
S The diameter of the earth at the equator is about 8.000 mi
Based on this figure, how far is it around the earth?35,
@ Radio station KROQ broadcasts in all directions lo a distance
of 40 mi. How many square mfles are In the statio
D-60
(6.
10 in.
.i.
insa
0-62
TOPlC 4.1 Rev~ewC!rcumterenceand Area ol Chrcles
D-92
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
What Happened to Zelda After She Swallowed
Two Nickels,Three Dimes, and a Quarter?
Give the SURFACE AREA of each prism. Find your answer in the answer columns
and notice the two letters next to it. Write these letters in the spaces over the exercise
number at the bottom of the page.
@qSrm=
3
3.1 m
OD
b
m
@ q , 6 M , in.%
@ 104-m a
2 5 e 92 e n ?
@@
: @@
2.7 cm
5.6 m
=
$
1.8cm
2.2 m
7
O
lJcm
*
A rectangular storage box is 12 in.
wide. 15 in. iong. and 9 i n high. How
many square inches of colored paper
are needed to cover the surface of
the bow?
2
G L ) in
~
@ 73 m2
9.4 m
8 A teacher made a pair of foam dice
to use in math games. Each cube
measured 10 in. on a side. How
many square inches of fabric were
needed to cover the two cubes?
1,200 in.%
I
Answers
@23.12cm2
@ 318.26 m2
@) 9,600 in.?
@ 300.56 m2
@94cm2
a
(@846 in.2
@ 104 m2
86 m2
@1,200 in.2
@ 25.92 cm2
@ 1,050 im2
@ 85 cm2
CIH
D-63
TOPIC 4-1:-ern
Solving: Chwrinp a Fwnula
GIE
6
Why Did Humpty Dumpty Have a Great Fall?
Do each exercise and find your answer in the answer column. Write the letter of the
answer in each box containingthe number of the exercise. Use 3.14 for r.
Find the surface area of each figure. Cmss out the box containing each coned
answer. Wben you finish, wrlte the letters from the remainingboxes in the
spaces at the bottom of the page.
I. Find the lateral area and the total surface area of each cylinder.
22.6 ma
2.0 m
5 cm
3
D-64
TOPIC 5-a. Surta~4ren
of Rectangular Prisms
What IS Cold And Comes In Cans?
@ 146 ema
AIN
T I ~ - ~ E I R E I W A I SN ~ O
4
2
7
1
8
5
TnEPf WAS N O CHANGE
ID
@
8.560 in..
12 cm
c----
10 ft
6 cm
4 cm
70 cm
4.3 cm
II. Find the total surface area of each cylinder.
@
10 m
@
r=3cm
-
@ d=10.8m
r=8in.
h = 8 in.
h 2.6 m
12 A can of tomato juice is a cylinder with a radius of
7.5 cm and a height of 20 cm. What is the area of
the label around the can?
em 'L
O
9 42
13 A steel oil tank is a cylinder with a diameter of 12 ft
and a height of 18 ft. How many square feet of steel
were needed to make the tank? qo4.92 &a
O
3
C H 4 ~ 1BEANS
D-65
TOPIC 5-b: Surlaw Arsa ol Pnmsand Pyramids
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
o Creative Publications
8 1311
6
4
2
9
5
8
10 11 1 2 1 1
1
7
2 1313
4 10
T o M A L E u P F o R A B A D ~ u M M E R
y o M AUE U P POCL A B A D SuHMiiO
TOPIC sc:Surtaca AM of Cylindem
D-93
D-66
ANSWERS
What Movie Is about a Kid Who Ran
Away from H o m e with His Bicycle?
Mystery: What happened when a 6-year old. a 5-year old,
a Cyear old, a 3-year old, and a 2-year old joined to form a basketball team?
Find the volume of each prism in cubic units. Write the letter of the exercise in the
box containing the answer.
Find each answer in the answer columns and notice the two letters next to it. Write
these letters in the spaces over the exercise number at the bottom of the page.
I. Tind the volume of each rectangular prism.
2.7 cm
5.2 cm
3.8 cm
11. Solve.
@ A classroom is 26 ft wide, 32 ft long.
and 9 ft high. What is the volume of the
room in cubic feet? 7, r)80 f+ 3
5
O
A swimming pool is 20.6 m long, 8.5 m
wide. and has an average water depth
of 1.7 m. Find the volume of water
needed 'I' lhe
*".
all the gold that has been producedin
O the
last
years could be melted to
A refrigerator is ft wide
ft deep
form a single cube. each side would
O ofand
ft high. he walls 14other
measure about m. How many cubic
the refrigerator take up ft3 H
If
6
500
7
16
meters of gold is this?
8
O
3
6
20
many cubic feet are left for foodi
3, OQ6 m 3
Krispy Kritters Cereal used to come in a
box with a volume of 2,850 cm3.
However. The Krispy Kritters Co.
designed a new larger box 22.5 cm
wide. 6.2 cm deep, and 30 cm high.
How many more cubic centimeters will
the new box hold than the old box?
9
O
*
25
OW
25 $+3
An aquarium weighs 22.5 lb when
empty. The aquarium is 30 in. long.
14 in. wide. and is filled with water to
a depth of 18 in. Water weighs 0.036
pound per cubic inch. How much
does the aquarium weigh when it is
full of water? =q r) 66 \b
.
\, 335 em3
.....................................................ANSWERS -...-........-. -.............................
@
@
t - 3 ~ 7 ; h - 2
40 24 36
16
T H E Y
32
72
64
@
I-;;3;h=6
12
48
80
W E R E
D-67
45
28
75
@ 985 cm3 @ 6.118 ft3 @ 4.096 m3 @ 314.56 Ib @ 864 in.3
@ 297.67 m3 @ 53.352 cm3 @ 23.5 ft3 @ 1.335 cm3 (@ 311.27 ma
@ 294.66 1b @ 25 ft3
@ 9.8 m3
@ 3.986 m3 @ 7.488 ft3
t=;y5;h=3
42
30
60
G~O~NIE
18
O d E L E S S
TOPIC 5-d: Volume of
8
Racmngular prisms
!
TIH
W I
~ l t €18
t
2
6
1
4
7
6 0 ~ E
wbTY T W E SCHWI N
TOPIC 5-e. Problem ~oivanp
CIH
w1.1 N ~ N
3
9
5
N
D-68
Appl~caaons
NOTE: You might want to compare the first 2 figures on the second line. The
triangular prism is half the rectangular prism.
4
What Is Big, Gray, and Lives
in California?
1. What Is the Best Way
to Paint a Rabbit?
'
Find the volume of each prism. Write the letter of the exercise in the box above the
answer at the bottom of the page.
TRIVIA TEST 4
zI1a'-!!& Pc-2!??%A
Y4 7 2 8 8 3 1 1 5 1 0 1 f l 3 6
2. What Candy Do Kids Eat
on the Playground?
-----------RECess0plEcES
11 5 9 5 1 0 1 0 1 7 5 9 5 1 0
Do each exercise and find your answer in the answer column.
Write the letter of the answer above the exercisenumber
each time it appears in the code. Use 3.14 for K.
5.8 cm
8 rn
1
Answers
@ 814.13cm3
@ 565.2 m3
IS. 4-rn3
6.4 cm
346 -3
1
- ,I
7.5 m
*.
I
4.3 cm
---
s in.
@
6 in.
B=52m2
@
8.5 in.
@ r=2.5mm
r=8in.
h = 60 mm
1,117.smm3
11.$h@
olve.
10 Shawn IS making a candle using a
cylindriLalmold with a radius of 2 cm
and a height of 30 cm. How many
cubic centimeters of wax are needed
for the candle?
O
37b.8cmb
TOPIC 5-g: Vou
l me 01 Cylinders
D-69
ANSWERS
@
d=10m
1,224.5 mm3
@ 7.850 m3
@ 614.2 m3
k2gzm3
11 A mug in the shape of a cylinder has a
base with a radius of 4 cm. How many
milliliters of liquid does it hold if filled to
a height of 9 cm?
(Hint: 1 cm3 holds 1 mL.1 Y 52. I 6 m
O
L
D-70
TOPIC 5.1 Volume ol Pr~sms
D-94
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications
Why Did the Elephant Paint
His Toenails Red,Green,
Yellow, Blue, and Purple?
Why Did the Teacher Assign
Extra Homework When She
Taught Adolescents?
Find each answer in the appropriate set of boxes at the bottom of the page.
Write the letter of the exercise in the box containing the answer.
Find which two consecutive whole numbers the square root is between. Write the
letter of the exercise on the number line between these two numbers.
I. Find the length of one side (s) of each square.
Use the top number line for the first set of exercises, and the bonom number line
for the rest.
64 cm2
25 m2
m
s=-.JLcm
s = a f t
om4
0 - 6
2
0
@mq
(TJdTiZ12
@dT
on
1,2
@a
@dB
4,s
o
J
1
2
0 10,tI
am
9,10
@Jll
3,4
@J59
7,8
I
S,q
@03D50 @ W S O
@dsooM
0
@
I21
112
6,7
oJ0.5 0 , I
= S = ti= € : * H= A= 5=. 7 =- R
= Y
=
*
100
Ill. Simplify.
(3 152 225
@J225 I5
2,3
am I I , l 2
11. Find the square root.
am7
0
1
3
0 S,b
1
2
3
4
5
6
7
8
9
1
=I
0
=I\( =Q *
1
1
1
2
@ 252 (125
@1(121 11
(iJJ625 25
@Jis+&
7
@dX+Ja4IJf
(EJGS-fiZ
@J16+9
5
@m-TlxiO
@Jo.sl0.9
QJ25-94
@J75
8,9
@a
2 , 3
m
@ r n O . I
1,z
7,s
I
0
ad3
4,s
@/20
@/o.l 0 , I
om
1 1 , 1 2
am
3,4
@J33
5,b
QJ40
697
D-A-l- E
D
7 O'A
9,lO
S
S
0 f.l
C
0
1
2
3
4
5
6
8
9
1
0
1
1
1
2
D-72
TOPIC 6.e. Squares and Squaw Roots
D-71
7
TOPIC 6-a: Squaresand Square Roots
NOTE: Students will need calculators with a square root key or a table of
square roots for this puzzle and the 2 that follow.
Why Do Adults Complain So M
How Would You Describe a Dead Skunk?
Find the length of the hypotenuse of each right triangle below.
Find your answer in the answer column. Write the letter of the
answer in the box containing the number of the exercise.
Round each answer to the nearest tenth (If necessary). Find each answer at the
bottom of the page and cross out the lener above It. When you finish, the answer to
the title question will remain.
@ Find the length of the hypotenuseof each right triangle.
3
9
10
@ J85 = 9.2
J562 23.7
-
9
.
@J289=17
16K
O
O
4
A quarterback at
pint throws
the
a receiver
footballwho
to
O
@~2,500=50
@-=18.6
Q5
@ d275 = 16.6
@ J65= 8.1
@ \12DO = 14.1
@ J269 = 16.4
THEY &RE
R
OA
D-73
"
5
O
to mend base?
14 yd
28 .Y Yd?
1
1
+
@ The
feet bases
apart. How
on a far
baseball
is it from
diamond
home are
plate
90
ff
J
1
1
1
1
I 27.3
f+
9 The lawn In front of PythagorasJr. High
is in the s h p of a rectangle 24 m long
and 10 m wide. How many meters
shorter is your walk if you walk
diagonally across the lawn rather than
along two sides of it? e/
O
1
1
1
1
1
1
1
1
1
~
EATlNCr
D-74
TOPIC 6-b: T b Rub 01 PpIh@ciras.
Findingthe Langthol the Hypotenuw
MIDDLE SCHOOL IVIA'TH WITH PIZZAZZ! BOOK D
o Creative Publications
O
A rope is stretched from the top of a
&foot tent pole to a point on the ground
12 ft from the base of the le. How long
istherope? 13.9
1
PS
iF
7 The window of a
burning building is 40
feet a b v e the ground.
The base of a ladder is
pla+ 9 feet from the
building. How long
must the ladder be to
reach tlle wiwlw# + 4
.
catches it at
point 8. H w
long w t pas
@ LOB = 9.4
4
;
11
A television screen may be described
in terms of the diagonal measure of
its screen. If a TV screen is 20 in. wide
and 15 in. high what is the iengtk of
its diagonal?
n
&;
@ J580 = 24.1
6 Kristin and her family left their campsite
for a hike. They hiked 5 mi west andlhen
2 mi north. How far were they from the
campsite? 5.
nq
3
O
20
6 m FOj
O
@ Ji3O = 11.4
18.6
15.3-
10 cm
2 A rectangle is 6 m
wideandllmbng.
How long is the
diagonal of the
rectangle? I2 S m
TOPIC 8-b: Tk Ruk ol Pylh.pmr.
Fi~thaL.nonolUwHpImw.
b
D-95
ANSWERS
Cryptic Quiz
What Relation IS a Doorstep to a Doormat?
I. What is the opposite of a professional eater?
8.8
19.6
18.5
8.8
10.9
8.8
3.3
9.8
70.7
1.4
Round each answer to the nearest tenth (if necessary).Cross out the box containing
each answer. When you finish, write the letters from the remainingboxes in the
spaces at the bottom of the page.
70.7 14.5
a
2. How would you describe a job in the Acme Mitten Co. shipping department?
B O
22.4 16.1
X
19.2
I N
5
19.6
G
6
68
G L O V E S
6
8
16.1
9.2
70.7
For each right triangle, find the length of the side that is not given.
C
6.3
Q
a
7
in.
3. What can be right but never wrong?
A
N A A &6 L
E
8.8 19.6 7.4 8.8 19.6
8
70.7
I7.
6 cm
em
12c m
2s.S i n .
For each exercise, find the missing length. (Refer to the
diagram at the right.) Round your answer to the nearest tenth
(if necessary) and find it in the code. Each time the answer
appears, write the letter of the e;ercise above it.
The mast of a sailing ship is
tall.
O mast
rope is stretched
from the top of the
to a cleat on the deck of the ship.
5
@
a = 9, b = 4 , c =
@
a=8,b=14,cc
@ a =
b-3
9.6
16.1
@
a=50,b=50,c=
@
a=
22.4
,b=3,c=7
@ a=6,b=
@
a=
10.9
, b = 5 , c = 12
@ a= I ,b=
@
a=
6
,b=a,c=10
@ a=
@
a = 5 , b = x , c = 6
@a=4,b=
14.5
0 a = 12. b -
,c=15
.
5
c = 13
1, c =
@
a=2,b=
@
a=
@
a-10. b=
D-75
8
, c=
11
'
1.4
,b=16,c=25
8.8
,c=9
,b315,c=17
lq4b
.
c.22
TOPIC 6-c:me Rule of Pyihagons:
Findlw the Length of a Sie of a Right T r l ~ l e
TOPIC 6.c The Rule 01 Pythagoras
~?nd!ng
the Length 01 a Stde ot a RIQMTuanple
* * * Test of
Evaluate each formula below for the given values of the variables.
Find each answer at the left and cross out the letter next to it
When you finish, the answer to the title question will remain.
dart
@ Identical cubes are stacked in the
Genius
6
O
corner of a room as shown. How many
+++
Steven has 9 gold coins that are
identical in appearance. However, one
i o u
S Z C ~
t 8 2I t2
where dis the distance traveled by an object moving
at speed r in time 1. Find d i f
r 32 rntsec, t 8 sec.
@ E=lR
=m
where E is the voltage in an electric circuit with current
l a n d resistance R.Find E if
1= 2.5 amperes, R = 60 ohms.
@
D-76
h
What Does a BONE SPECIALIST
Need to Get His Practice Started?
a
A
,b=20,c=30
9,2
Iq.2
20 f l
26 D
70.7
v = 9.8 t
x.3~
where v is the speed in meters per second of a freefalling object after t seconds. Find v if
t 5 sec.
@ S= (n- 2)180
4q m/sec
-
where S is the sum of the measures of the angles of a
polygon with n sides. Find S if
n-8.
1,-0
@ A = 6&
where A is the surface area of a cube with edge e.
Find A if
e = l2cm.
cm2
@
where V is the volume of a prism with a square base
of side wand wilh height h. Find Vif
V m hw2
h=lOcrn, w = 7 c m .
s w 60 milh.
O
101-102-1
101-10
=I
Ms. Smucker went to a store, spent half
of her money and then $10 more. She
went to a second store, spent half of
her remaining money and then $10
more, But she then had money left,
How much money did she have to
begin with? $60
8 The teacher noticed there w e n fewer f u
O
than 100 students on the playground f;
4 If 8 widgets equal 4 curlicues and 2
curlicues equal 3 goofups, then 16
widgets equal w many goofups?
O
cm3
where L is the approximatelength of a skid in feet for
a car traveling at smiles per hour. Find L if
@ F = 1.8C+ 32
3
1%
When she counted them by 2s. there
was 1 student left over. In fact when
M e counted them by 3s. 4s. i s , or 6s.
there was always 1 student left over.
How many students were on the
playground? 6 I
'
--8 .*'L f I.
Y 8 Ss
+
+
the figure below without lifting
O5 Draw
p u r pncil from the page or tracing
Mn
where Fis-theFahrenheit temperature equivalent to
Celsius temperature C. Find Fif
C 1209
@
-
q228 v )
where B is the recommendedmaximum heart rate
during exercise for a person y years old. Find B if
y = 15.
D-77
ANSWERS
beaWsec
,-a: Fotmula.
TOPIC 7-b: Test ot Genius
D-96
D-78
MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D
O Creative Publications