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The Authors - Mr. Dobbins' Dynamic Digits

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Page 1: The Authors - Mr. Dobbins' Dynamic Digits
Page 2: The Authors - Mr. Dobbins' Dynamic Digits

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

01 989, 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

Page 3: The Authors - Mr. Dobbins' Dynamic Digits

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 PRE-WEBRA WITH PEZUZ! and ALGEBRA WlH P m ! both published by Creative Publications.

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.

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 as 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

have Wed to minimize the time spent on finding answers or doing other puzzle mechanics.

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 incre- mental, 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 specif- ically to build concepts. Other puzzles, especially those for estimation, also help deepen students' understanding by encouraging them to look at numbers as quantities rather than just as 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.

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 self- correcting, they can eliminate the task of correcting assignments.

We hope that both you and your students will enjoy using these materials.

Steve and Janis Marcy

iii

Page 4: The Authors - Mr. Dobbins' Dynamic Digits

1 . MEASUREMENT: METRIC UNITS

a . Length ......................................................................................................... 7 ...................................................... b . Measuring Line Segments with a Ruler 8

c . Renaming Units of Length ..................................................................... 9-10 d . Capacity ................................................................................................... 11 e . 'Weight ...................................................................................................... 2

................................................................ f . Review: Capacity and Weight 3 g . Time .......................................................................................................... 14

2 . MEASUREMENT: CUSTOMARY UNITS ............................................... a . Measuring Line Segments with a Ruler 15-1 7

b . Renaming Units of Length ................................................................... 18-1 9 .............................................................................................. c . Capacity .2 0.21

....................................................................................................... d . Weight 22 ................................................................... e . Review: Capacity -and Weight 23

f . 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 . Perimeter ............................................................................................ .46=47 b . Circumference ...................................................................................... 48-49 c . Area of Rectangles ............................................................................ -50-52 d . Using a Calculator: Perimeter and Area .................................................... 53 e . Area of Parallelograms ............................................................................. -54

Page 5: The Authors - Mr. Dobbins' Dynamic Digits

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

......................................................... a . Surface Area of Rectangular Prisms 64 b . Surface Area of Prisms and Pyramids ...................................................... 65 c . Surface Area of Cylinders ......................................................................... 66 d . Volume of Rectangular Prisms .................................................................. 67 e . Problem Solving: Mixed Applications ........................................................ 68 f . Volume of Prisms ...................................................................................... 69 g . Volume of Cylinders .................................................................................. 70

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 b . Test of Genius ........................................................................................... 78

8 . ANSWERS ............................................................................................. 79-96

Page 6: The Authors - Mr. Dobbins' Dynamic Digits

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 as an 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 as 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

Page 7: The Authors - Mr. Dobbins' Dynamic Digits

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.

@ length of an ant

R 5mm M 5cm

@ height of a basketball hoop

U 30m H 3rn

@ diameter of a quarter

G 24cm 0 24 rnm

@ length of a tennis court

L 24m D 24 km

@ thickness of a nickel

E 20mm 0 2mm

@ length of an automobile

T 5 m S 50m

@ width of a dollar bill

N 66 cm P 66 mm

@ height of a door

M 20 cm B 2 m

Unit

1 millimeter (rnm) 1 centimeter (cm) 1 meter (m) 1 kilometer (km)

@ length of a new pencil

Approximate Size

thickness of a dime width of your smallest finger length of a baseball bat length of 10 football fields

@ distance walked in 1 hour

K 5km B 50m

@ length of a paper clip

E 3cm S 30cm

@ distance driven on a freeway in 1 hour

U 85 km A 850 m

@ height of a dining table

K 75 mrn S 75 crn

@ length of a marathon race

T 400 m F 40 km

@ length of a sheet of typing paper

0 28cm R 28 mm

@ distance from New York to Los Angeles

MIDDLE SCHOOL IVIA-TH WITH PIZZAZZ! BOOK D o Creative Publications D-7 TOPIC 1 -a: Length

Page 8: The Authors - Mr. Dobbins' Dynamic Digits

Cryptic Quiz 5 (D El 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 F V)

2 @ length of = mm 2

@ length of AC = 3 cm

z 0 4 o I @ length of AC = mm Tij 3 2 K 2- N cij D

2 4 - @ length of AE = cm zul g. 8 o @ length of AT = 2 u mm

@ length of = cm

@ length of B7i = cm

@ length of = cm

@ length of = mm

@ length of = mm

@ length of CG = mm

@ length of = cm

@ length of CH = cm

@ length of GH = cm

@ length of = mm

@ length of = mm

@ length of AH = mm

Page 9: The Authors - Mr. Dobbins' Dynamic Digits

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 answer in the box containing the number of the exercise. If the answer has a a, shade in the box instead of writing a letter in it.

I. Answer each question.

mm are in 1 cm? Answers 1 - 3:

cm are in 1 m? 0 10 @ I 0 0

m are in 1 km? @ 1,000 @ 10,000 I II. Complete each statement. You are changing each measure to a smaller unit.

cm Answers 4 - 11 : 5 cm @ 3,666 (9 27,500 f mm @ 6,250 @ 830

Ill. Complete each statement. You are changing each measure to a larger unit.

@ 12.5mm = cm Answers 12 - 19:

@ 94mm = cm a 0 . 3 7 5 Q0.094

@ 375 m = km @ 0.25 @ 5

@ 8 8 m = km @ 500 @ 1.25

@ 643 cm = m 6.43 @ 0.088

@ 2.5 cm = m @ 2.5 37.5 1 @ 250 mm = dm @ 9.4 # @ 0.0643 1 f @ 5,000 m = km @ 8.8 0 0.025 1

1 10 2 5 13 16 9 18 12 4 6 1 7 15 11 19 3 17 8 14

TOPIC I-c: Renaming Units of Length D-9 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

Page 10: The Authors - Mr. Dobbins' Dynamic Digits

TOPIC 1 -c: Renaming Units of Length D-I 0 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 11: The Authors - Mr. Dobbins' Dynamic Digits

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.

I. Choose the more reasonable estimate of capacity.

Unit

1 milliliter (mL) 1 liter (L) 1 kiloliter (kL)

@ a pot for cooking

Approximate Size

capacity of an eyedropper capacity of a juice carton capacity of 4 bathtubs

@ a tablespoon @ an automobile gas tank

@ a swimming pool @ a drinking glass @ a water cooler jug A 80 L 0 80 kL 0 25mL M 250mL H 20L R 2 L

I I. Complete each statement. Answers 7 - 14:

* * * * . * . ~ * * * * * . * * * * * * * o * * . * * * * * * * * * * * . * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * o * * * e * * * * o * * * * * * * * ~ * ~ * * ~ ~ * * ~ ~ * ~ ~ ~ * ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ b O O b 0 ~ ~ O ~ ~ ~ b ~ ~ 0 0 ~ ~ ~ b ~ ~ ~ b ~ ~ O ~ ~ ~ ~ O ~ ~ b ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ b 0 ~ ~ ~ ~ ~ ~ O ~ b ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ * ~ O b ~ ~ ~ * b * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * ~ * * ~ ~ b ~ ~ ~ * ~ * O * ~ ~ * b ~ * ~ ~ ~ * ~ b ~ O ~ . O * * * * * . * * * O . . . . . O . * . . . * ~ ~ ~ ~ ~ ~ ~ o O ~ ~ ~ ~ . O ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ . * * O * * b * * * * * . * * * * * * * * ~ * O ~ ~ ~ * * * * * . * ~ ~ . ~

, -

Ill. Solve. Answers 15 - 16:

@ Ms. Sparkle bought 12 cans of diet soda. Each can contained 350 mL. How many liters of soda did she buy? R 48 V 4.2

@ Chef Pierre made 6.4 L of creamed carrot soup. If it is L 32 N 5.4 served in 200-mL cups, how many cups can be filled?

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications D-1 1 TOPIC 1 -d: Capacity

Page 12: The Authors - Mr. Dobbins' Dynamic Digits

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.

G -++,a 0 ( ( P o

Unit

1 milligram (mg) 1 gram (g) 1 kilogram (kg)

I. Choose the more reasonable estimate of weight.

I

Approximate Size

mass (weight) of a grain of sand mass (weight) of a paperclip mass (weight) of a math textbook

@ a nickel @ a postage stamp @) a bowling ball

@ a lemon @ a 1 2-year-old child @ a postcard

I I. Complete each statement.

Answers 7 - 14:

Ill. Solve.

@ An average orange weighs 270 g. How many kilograms Answers 15 - 16: does a bag of 8 oranges weigh?

0 1 . 9 6 (9800 @ 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? 0 9 2 0 B 2 . 1 6

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:

D-12 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications TOPIC 1 -e: Weight

Page 13: The Authors - Mr. Dobbins' Dynamic Digits

a> w 'r= = 3 6 d 4 .z a r a .- a$ E & x 3 @ a , = 5 a, a, 0 x 2 - t l 2 zoa> a>L3 3 a, cnaz S 55 g = o , + a, .S 8 5 .G

(d 5 1 ~ r -- - .c- 8 .E L C 0 a> 0 0 p - o.,

x 0 52 L 3 5 .G ggs n c .G ,m .- -Lcn DQ) s C $@ $ m a -a a, 8 $ 5 ~ ' $ 5 ~ ' s G $

+= r 8s m

06 1 u- -a, 0 - m z m o o 0 A m o ", y o * 7 m o E -a c 2 zu m cn Y 8 ' 2 0 3 9 a a, 2 g '-x 0 Z c n m g .p "j a>

ry , I a> *- = S E E @ $ $ q j c c . E 4= asEms m ' t . - a>

3 2 4 9 8 % grn 0 a 0 w E 3

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications D-13 TOPIC 1 -f: Review: Capacity and Weight

Page 14: The Authors - Mr. Dobbins' Dynamic Digits

What Should You Study to Learn How to be a Cowboy?

@ 4 h = min

8

@ 7 min = sec

@ 2 h 30 min = min @ 5 min lOsec= sec

I. Complete each statement.

Cross out the letter next to each correct answer. When you finish, the answer to the title question will remain.

@ 540 sec = min

& .#

@ 80 min = h min @ 135sec= min sec

@ 3 d = h @ 3 d = min

II. Add or subtract. Simplify if possible.

@ 2 h 30 min @ 5 min 40 s @ 7 h 8min + 3 h 45 min + 8 min 50 s + 2 h 43 min

@ 8min10s @ 12h25min @ 32 min 50 s - 3 min 30 s - 5 h 45inin - 17min24s

@ 6 h 47 min @ 9 min @ 5 d 4 h +4h13rn in - 5 min 32 s - 2 d 1 1 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 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

D-14 O Creative Publications

Page 15: The Authors - Mr. Dobbins' Dynamic Digits

0 u $ 7

What H a s Four L e g s and Flies? g. rn

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.

g Z I. Identify each measurement that is marked with a letter. Write each letter in the box 2 3 I that contains the corresponding measurement. s =I I I A L C A I E C T P B N

II. For each exercise, measure the line segment to the nearest inch. Write the letter of

--I the exercise in the box containing the measurement.

Q

$Ej

@ A B '.

5. in. 3

@ A G in.

@ D G in.

@ A C in.

@AH in.

@ D H in.

@ A D in.

on in.

@ E in.

@ A E in.

@ B G in.

0" in.

OAF in.

@ B H in.

@ H T in.

Page 16: The Authors - Mr. Dobbins' Dynamic Digits

=JaMsug ayl lo Jaqunu ayl bu!u!e$uoo xoq ayl u! as!oJaxa ayl lo JaUal ayl al!JM -uurnloo JaMsue aql u! JaMsua inor( pu!j q3u! yjyG!a-auo JsaJeau aqol Molaq lualu6as eu!l qoea alnseayy

Page 17: The Authors - Mr. Dobbins' Dynamic Digits

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 rectangle ABCD on another sheet of paper. The rectangle is 7 1

in. wide and 9-5- in. high.

1 2. Place your ruler on m. 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 His on El 73- in. from B.

3 - 6. Point 1 is on 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 I and K

1 - 9. Point L is on m, 3 -g in. from J. Draw EL.

7 - - 10. Point M is on 7 in. from E. Draw GM.

3 - - 11. Point N is on m, 5 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.

5 - - 13. Point P is on in. from E. Draw OP.

1 - - 14. Point Q is on 6, in. from E. Draw GQ.

5 - 15. Point R is on EL, 6 8 in. from E. Draw m.

16. Point S is on m, 2 $ in. from N. Draw MS. 1

- 17. Point T is on a 1-g- in. from K. Draw

- 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

Page 18: The Authors - Mr. Dobbins' Dynamic Digits

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 feet @ How many inches are in 1 foot? are in 1 yard? are in 1 yard?

I I. Complete each statement. You are changing each measure to a smaller unit.

@ 2 f t = in.

@ 5 f t = in.

@ 1 f t6 in.= in.

@ 8 ft 4 in. = in.

@ 5 y d = ft

@ 9 y d 2 f t = ft

@ 20yd 1 f t= ft

@ 2yd= in.

@ 3yd18in.= in.

Ill. Complete each statement. You are changing each measure to a larger unit.

@ 48 in. = ft

@ 19 in. = ft . In.

@ 69 in. = ft in.

@ 24ft= yd

@ l o f t = yd ft

I @ 180 in. = yd

1 @ 56 in. = yd in.

1 @ 366 in. = ~d in.

TOPIC 2-b: Renaming Units of Length MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

D-I 8 o Creative Publications

Page 19: The Authors - Mr. Dobbins' Dynamic Digits

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 . @ 4f t 10 in. = in. @ l 0 f t 3 i n . = in.

60 in. = ft

0 4 y d = in.

@ 40 in. = ft in. @ 72 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.

@ 3f t7 in . + 2 ft 8 in.

@ 5 ft 9 in. + 8 ft 10 in.

@ 9ft11in. - 4 ft 6 in.

@ 7ft4in. - 2 ft 7 in.

@ loft 8 in. - 3ft11 in.

MIDDLE SCHOOL MKrH WITH PIZZAZZ! BOOK D O Creative Publications TOPIC 2-b: Renaming Units of Length

Page 20: The Authors - Mr. Dobbins' Dynamic Digits

Why Did the Young Actress Stuff ~ e r Autograph Into Bottles of

that Low-Calorie Cola? 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

I. Complete each statement. You are changing each measure to a sma.ller unit.

@ 5 gal = qt

@J 9 gal = qt

@ 2 qt = pt

@ 1 5 q t = pt

@I p t= C

@ 7 p t = C

@ 3 c = fl oz

@ 1 0 c = fl oz

@ I gal 2 qt = qt

@ 6 gal 3 qt = qt

@ 4 p t 1 C = c

@ g a l = pt

@ l p t = -fI 02

@ l q t = fl oz

I I. Complete each statement. You are changing each measure to a larger unit.

@ 40 qt = gal

@ 8 pt = qt

@ 24 pt = qt

0 1 0 c = pt

@ 1 8 c = pt

16 f l oz= c

64 fl oz = c

7 qt = gal qt

30 qt = gal qt

9 Pt = - qt - Pt

Answers for Column I

Answers for Column II

TOPIC 2-c: Capacity D-20 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 21: The Authors - Mr. Dobbins' Dynamic Digits

Did You Hear About ...

Do each exercise and find your answer in the appropriate answer column. Answers A - L: Notice the word next to the answer. Write this word in the box containing Answers M - X:

the letter of the exercise. I. Complete each statement.

@ 3 gal = qt @ 8 p t = c @ 5 qt = pt

@ % gal = qt

a 4 gal 3 qt = qt

@ 20 qt = gal @ V p t = qt @ 16floz= c

@ a p t = gal Q 9 qt = gal qt

II. Solve.

@) Mr. Fizz bought 6 cans of root beer. Each can contained 12 fl oz. How many cups of root beer did he buy? c

@ A certain paint is sold in both 1 -gal cans and 1 -qt cans. The gallon can costs $1 3 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?

Page 22: The Authors - Mr. Dobbins' Dynamic Digits

What Did They Call the Guy Who Made 367 Mistakes While Typing One Page?

I. Complete each statement.

-

-

II. Solve.

@ How many ounces of meat are used to make a $-lb hamburger? oz

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.

@ One dozen baseballs were packaged for mailing. Each ball weighed 5 oz and

I

the box weighed 9 oz. Find the total weight of the package in pounds and ounces. I b - oz

@ There are 30 students in a math class with an average weight of 92 lb per student. A. What is the combined weight of all

the students in the class? Ib

B. How much more than a ton is this? Ib

TOPIC 2-d: Weight D-22 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

Page 23: The Authors - Mr. Dobbins' Dynamic Digits

C,

c a m r m - 3 a % E L . =

a a v , a re , 3 3 C

CaZZ' = c c o .E m m 5 J k k

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications Dm23 TOPIC 2-e: Review: Capacity and Weight

Page 24: The Authors - Mr. Dobbins' Dynamic Digits

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.

@ 3h45min @ 9min20s @ 7h10min @ 8min + 1 h 30 min + 4min 10s - 2 h 50 min - 5 min25s

0 6ft4 in. @ 4ft9in. @ 12yd2 f t @ 50yd + 9 ft 7 in. + 3 ft 8 in. + 5 y d 2 f t - 8 y d 1 ft

@ 1 c 2 f 1 o z @ 7 gal 3 qt @ 3 qt I pt Q 20 gal + 2 c 5 f l o z + 6 gal 3 qt + 5 qt 1 pt - 4 gal 1 qt

@ To power an experimental car, Willy @ The average 1 2-year-old in the U.S. Messerschmitt mixed 1 2 gal 3 qt of weighs 85 lb 12 oz. The average 14- gasoline with 4 gal 2 qt of ethyl alcohol. year-old weighs 108 lb 2 oz. HOW much How much fuel did this make? weight does the average person gain

during these two years?

Answers 1 - 9: @ 15ft 11 in.

@ 3 min 5 s @ 13 min30s

@ 8ft5in. @ 41 yd 2 ft

@ 3 c 7 fl oz @ 7 ft 6 in.

@ 5 h 1 5 m i n @ 2 m i n 3 5 s

O 4 0 y d l f t 8 1 8 y d l f t

@ 4h20min @ 4 c 5 ~ 1 o z

D-24 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

TOPIC 2-f: Adding and Subtracting Measurements O Creative Publications

Answers 10 - 18: @ 17ga1 I qt t

@ 15gal3qt @ 39lb2oz

@ 21 lb10oz @ 13T700lb

@ 12T300lb @ 14gal2qt

@ 22lb6oz @ 1202

@ 9qt @ 16gal2qt

@ 7lb2oz @ 6lb6oz

10 3 7 13 1 15 9 18 12 5 8 16 2 11 17 4 14 6

Page 25: The Authors - Mr. Dobbins' Dynamic Digits

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.

H @ Which of the following is not a point on 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

Page 26: The Authors - Mr. Dobbins' Dynamic Digits

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 angle.

@ Two acute angles in the figure are LBOC and

@ An angle whose measure is between 90" and 180 ' is an angle.

@ An obtuse angle in the figure is

II. Give the measure of each angle. 4 L RQS

LRQT

L RQU

LRQV

LRQW

LXQW

LXQT

LUQV

TOPIC 3-b: Angles MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 27: The Authors - Mr. Dobbins' Dynamic Digits

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 B 3 5 ' S70°

@ mLX is about @ m L V is 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

@ mLCAD is about

@ rnLBAD is about G 100' 0 130"

@ mLPOR is about

@ mL POQ is about V 40° N 15'

(a mLQOR is about

@ mLXis about

@ m i ~ i s about

@ mLZ is about

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications D-27 TOPIC 3-c: Estimating Angle Measures

Page 28: The Authors - Mr. Dobbins' Dynamic Digits

Books Never Written Beginning Your Exercise Program by

57' 99' 119' 137' 173' 85' 99' 33'

Checking Your Homework by 33 O

How to Lead the Band by 38' 62' 33' 90' 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

Page 29: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 30: The Authors - Mr. Dobbins' Dynamic Digits

Why Is a Party Like Pouring Oil I n t o a Car?

I. Find the measure of the angle that is complementary to the angle having the measure given.

9

9 8

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.

=

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.

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D TOPIC 3-f: Complementary and Supplementary Angles Dm30 O Creative Publications

9 Z F 5

Page 31: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 32: The Authors - Mr. Dobbins' Dynamic Digits

wkht Is Tke Biggest ~ r t b l e ~ tf 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. - * 7-E EF intersects AD at C. I

4th Street

6th Street

LEBC is a right angle.

LDCE is a right angle. II. Use the figure above. You should find 4 true statements.

5th Street is parallel to 6th Street.

6th Street is perpendicular to Elm Avenue. LFCH is an acute angle. 7 1 Y

LECH is an obtuse angle. Elm Avenue is parallel to Disk Drive.

LABE is an acute angle.

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.

Page 33: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 34: The Authors - Mr. Dobbins' Dynamic Digits

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.

5.1 kni

acute; scalene

acute; isosceles

acute; equilateral

right; scalene

right; isosceles

obtuse; scalene

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

Page 35: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 36: The Authors - Mr. Dobbins' Dynamic Digits

Daffynition Decoder

code. Each time the answer appears, write

Warehouse: - - - - - - - - - - -. - - - - - - - 1 OSO 40° 36O 78O 151 O 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 1 00°

@ If mL1 = 50;then mL2 =

@ If mL3 = 120; then m L 4 =

@ I f mL2 = 35;then mL1 =

@ If m L 4 = 45; then m L 3 =

@ If mL6 = 29;then mL8 =

@ I f mL6 = 29;then mL5 =

@ I f mL5 = 116;then mL7 =

@ If mL8 = 82;then mL7 =

@ lf mL11 = 144Pthen mL10 =

@ If m L 8 = 78Q and m L 9 = 60; then mL10 =

@ l f rnL9=47O and mL10=33Pthen m L 8 =

@ if mL10 = 45O and m L 8 = 90; then m L 9 =

@ I f m L 6 = 66O and m L 9 = 40;then mL10 =

@ if m L 11 = 1 30° and m L 9 = 52; then m L 8 =

@ I f m L 8 = 81 and m L 9 = 24; then m L 11 =

@ If m L 2 = 56pthen m L 4 =

@ I f mL1 =56; then m L 4 =

@ If mL1 = 56; then m L 3 =

Page 37: The Authors - Mr. Dobbins' Dynamic Digits

Can a Polar Bear Go On a Safari?

@ 1-1 @ rectangle

@ parallelogram ...............................................................

@D "n @ rectangle

@ trapezoid

@ parallelogram

@ rhombus ............................................................... 0 @ square

@ trapezoid

@ parallelogram

@ rectangle

@ parallelogram

1 @ rectangle

@ rhombus

@ trapezoid

trapezoid

square

rectangle

rhombus

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications TOPIC 3-1: Quadrilaterals

Page 38: The Authors - Mr. Dobbins' Dynamic Digits

Why 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.)

@ parallelograms: = OND caR rhombuses:

sn @) rectangles:

"0 A

@ squares:

A E

@ trapezoids:

naLonaD TOPIC 3-1: Quadrilaterals

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D Dm38 O Creative Publications

Page 39: The Authors - Mr. Dobbins' Dynamic Digits

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 1 3-1 rectangle 4-D rhombus

20-N parallelogram I 1 -T rectangle 23-A square

2-E quadrilateral 24-V parallelogram 8-P rhombus

9-U quadrilateral 21 -F parallelogram 1 -H trapezoid

19-0 parallelogram 15-L rectangle 6-S rhombus

13-A quadrilateral 26-R parallelogram 7-N trapezoid

17-M rectangle 10-P square 1 4-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

Page 40: The Authors - Mr. Dobbins' Dynamic Digits

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 six sides and six angles is a

@ A polygon with four sides and

@ An octagon is a polygon with eight sides and eight

four angles is a

@ A polygon with ten sides and ten angles is a

@ In the set of figures above, Figure A is a

-

@ Figure B is an

@ A polygon with fivesides and five angles is a

@ Figure C is a

L

15

21

@ Figure D is a

10

@ 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

Page 41: The Authors - Mr. Dobbins' Dynamic Digits

Why 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 C F Answers 6 - 11 :

ASKM E ANGJ Answers 12 - 17: N

@SK= @LJ

@ K M = @a @LN

@ S M ~ OW @LG

ARHX s ATYL Answers 18 - 23:

@ W Z Q L T ~ @LR @ R X @ K G Q L Y ~ @ R H ~ L H

Q L L n T

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications TOPIC 3-n: Congruent Polygons

Page 42: The Authors - Mr. Dobbins' Dynamic Digits

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

49" A \ L "oS T

AXYZ - AHPV AQGW - ANMU

AEFG - AHlG ATLC - AOKC

TOPIC 3-0: Similar Triangles D-42 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 43: The Authors - Mr. Dobbins' Dynamic Digits

What Did the Waitress Mean When She Yelled to the Cook:

"1 + 1 ° F C

A 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.

@ 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?

@ Points A, B, C, and D are all the same from point 0.

@ 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 radius is the length of a diameter.

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

Page 44: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 45: The Authors - Mr. Dobbins' Dynamic Digits

What Did the Taxi Driver Say About His Daughter? Write the name that best describes each space

triangular pyramid

hexagonal prism

cone

triangular prism

sphere

rectangular prism

pentagonal prism

cube

pentagonal pyramid

cylinder

hexagonal pyramid

rectangular pyramid

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

Page 46: The Authors - Mr. Dobbins' Dynamic Digits

Why Did the River Guide Carry a Rifle?

2.5 km 1.8 m 24 in.

. f

'm . : m . : l .

Find the perimeter of each rectangle.

@ Find the perimeter of a sheet of 4

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.

typing paper 8 in. wide and 11 in. long.

. . l . l

a .

l . a

in.

in.

Q L = 12 in. w = 12 in.

@ How many feet of border are needed to go around a square bulletin board that is 4.5 ft on each side?

HE TO ST SH OT OP FL 00 LS OA TT 48 in. 43.4 m 144 in. 18.6 km 18 ft 21 m 46.4 m 156 in. 37 ft 160 mm 32 ft

HE AT RA IN TO SO PI PE NG DS ET 180cm 35ft 184mm21.8km 7.2m 41 cm 42in. 200cm 39in. 156in. 11.4km

TOPIC 4-a: Perimeter D-46 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

Page 47: The Authors - Mr. Dobbins' Dynamic Digits

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 and 28 in. in.

@ Square with sides of 16.4 m m Equilateral triangle with sides of 5.25 ft @ Parallelogram with sides of

ft

40 cm and 75 cm cm Regular hexagon with sides - of 2.75 in. in. @ Regular decagon with sides Of0.63 krn km (@I Rhombus with sides of 50 ft ft

.............me.... e ~ ~ * ~ e ~ m ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ e ~ e ~ e ~ * ~ ~ m ~ ~ e e e e ~ ~ ~ ~ ~ ~ ~ ~

II. Solve.

@ The width of a large American flag is 8 ft. @ The width of a rectangular poster is 16 in. Its length is 5 ft more than its width. Find Its length is twice its width. Find its its perimeter. ft perimeter. in.

@ The perimeter of a square window is @ The perimeter of a triangle is 38 R. One 360 cm. Find the length of one side. side is 14 €t long. Another side is 9 ft long.

cm How long is the third side? ft

@ A pennant is shaped like an isosceles @ The longest side of a triangular sail is 9 rn triangle. The short side is 14 in. long and long. The second side is 1.5 m shorter is half the length of each longer side. Find than the longest side. The third side is half the perimeter of the pennant. the length of the longest side. What is the

in. perimeter? m

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-47 TOPIC 4-a: Perimeter

Page 48: The Authors - Mr. Dobbins' Dynamic Digits

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.

@ d=40in. + @ d=9.2crn+

@ d = 1.5 in. + @ d=600m + @ d-23in. + @ d=IOcm + @ r = l i n . + @ r = 6 c m + @ r=15in. + Q r=2.2crn + @ r=48in. + @ r = 3 . 9 ~ & + @ r = 2.5 in. + @ r=2.5cm + @ r = 5 0 m +

+ 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

0 0

+ C=6.28in.

69 + C=314m

0 + C = 4.71 in.

@ 0 0 + C = 37.68 cm

@ 0 + C= 24.492 cm

TOPIC 4-b: Circumference D-48 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 49: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D 01 989 Creative Publications D-49 TOPIC 4-b: Circumference

Page 50: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 51: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 52: The Authors - Mr. Dobbins' Dynamic Digits

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.

6 in.

5 in. @ 12in.

8 in.

7 in.

10 in.

7 in.

II. Find the area of the shaded region in each figure.

@ yard with sandbox @ wall with windows

12 in.

@ sidewalk around pool

II I. Solve. 30 ft

@ A bedroom is 15 ft long and 12 ft wide. @ A rose garden in the city park is How much will it cost to carpet the room rectangular and is 9 m wide. If the area if carpeting costs $22 per square yard? of the rectangle is 144 m2, what is the (1 yd = 3 ft) length of the garden?

TOPIC 4-c: Area of Rectangles D-52 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

Page 53: The Authors - Mr. Dobbins' Dynamic Digits

How Was the Wooden Marionette Related to the Wooden Diuing Board?

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.

* 8 i 4

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.

- -

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.

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.

t + 8 + + :

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 41 1 by 21 0 ft.

10. What is the area of the flag in ftn? ft 2

11. What is the area of the flag in ydz? yd2 12. The fabric used for the flag weighs

about 1.6 lb per yd2. About how much does the flag weigh? Ib

Answers

@ 1.7

@ 997,228.8

@ 46.5

@ 7,130

@ 673,200

@) 15,344

@ 27,099.4

@ 2.1

(@ 4,675

(@ 86,310

917,106.8

(@ 6,925.2

@ 6,626

@ 14,904

@ 61.8

@ 4,835

0 9,590

a 43.4

@ 83,820

@ 28,186.4

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D 0 Creative Publications Dm53 TOPIC 4-d: Using a Calculator: Perimeter and Area

Page 54: The Authors - Mr. Dobbins' Dynamic Digits

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 /rlfi/ 6.5 cm 90 ft ... - - - 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 The base is twice the height. What is base. Find the area. the area?

@ The area of a parallelogram is 60 ft? @ The area of a parallelogram is 375 cm? The height is 5 ft. How long is the The base is 25 cm. Find the height. base?

TOPIC 4-e: Area of Parallelograms D-54 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

Page 55: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications TOPIC 4-f: Area of Triangles

Page 56: The Authors - Mr. Dobbins' Dynamic Digits

What Happens When the Smog Lifts in Los Angeles, California?

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.

L

3rl o 494 in. CV - 15 in?

6.6 rn .- b

5 in.

m

24.6 crn

20.8 cm

114 in.

@r-l

CV C V N CV CV

.- E E E E Z

TOPIC 4-f: Area of Triangles

L

0 * ~ O O L " h Q) 5 d b ZCV. N b CV ? 7 7 c . -

0 0 -=L

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

9,200 in?

25 rn 20 in.

Page 57: The Authors - Mr. Dobbins' Dynamic Digits

0 3 00 3 0

Why Was Igor Unhappy About His Spelling Test EG Even Though He Got Everything Right?

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. 16

8 in. v 0 5 cm 19 in.

8 cm 14 in.

3 cm ,

11 crn 2.2 m 5 in. 5 in.

@ Rectangle with sides of @ Square with sides @ Right triangle with sides 22 cm and 28 cm. measuring 12 in. of8m, 15rnand 17m.

9 in.

7 in.

Page 58: The Authors - Mr. Dobbins' Dynamic Digits

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.

16 in.

9 in. /-A 6 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 (1 2 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

Page 59: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-59 TOPIC 4-i: Area of Circles

Page 60: The Authors - Mr. Dobbins' Dynamic Digits

What Is the Title 0 of This Picture.

I Use the diameter ( d ) or radius (r) of each circle to find the circumference (C) and area (A) of the circle. Use 3.1 4 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. I

CODED TITLE:

@ d = in.

@ C = in.

@ r = in.

@ C = in.

a A = in.2 @ A = mm*

Page 61: The Authors - Mr. Dobbins' Dynamic Digits

Why Is a Mathematician Like an Airline? Round each answer to the nearest hundredth (if necessary) and find it in the appropriate answer column. Use 3.1 4 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 of ropethat is 15 ft long. What is the area of the circle in which the cow can graze?

Answers 1 - 3:

@ 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

Answers 4 - 5:

@ 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 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

Page 62: The Authors - Mr. Dobbins' Dynamic Digits

f i 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. 10 in. A. Find the area of the circle. 6. How many square inches of

plywood are thrown away?

D-62 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

TOPIC 4-k: Problem Solving: Mixed Applications O Creative Publications

Page 63: The Authors - Mr. Dobbins' Dynamic Digits

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 I the number of the problem.

1 A botanical garden 7 How many tiles are needed to cover a was designed in the square patio measuring 18 ft on a side if

I

shape of a pentagon. each tile covers 1 sq ft? How many meters of fencing are needed to 8 The orbit of the earth around the sun is go around the garden? approximately a circle with a radius of

93,000,000 mi. How far do we travel in one 2 How many square feet of wallpaper are orbit around the sun?

needed to cover a wall 8 ft high by 15 ft wide? 9 How much felt is

0

this banner? ~h needed to make

3 The diameter of a circular running track is cu Pi High 140 yd. How far would you run in one lap?

50 cm

4 How much weather stripping is needed to go around a square window measuring 42 in. on a side?

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?

6 How much lace edging is needed to go around a rectangular tablecloth measuring 52 in. by 70 in.?

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 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?

Code Key Perimeter1

Circumference

@ P=sumofthe lengths of the sides.

@ ~ = 2 e + 2~

@ P = 4 s

a C=xdor C = 2xr

Area

@ A = L w

@ A = s 2

1 @) A=?-bh

@ A = xr2

Page 64: The Authors - Mr. Dobbins' Dynamic Digits

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. wide, 15 in. long, and 9 in. high. How many square inches of colored paper are needed to cover the surface of the box?

@ 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?

D-64 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D TOPIC 5-a: Surface Area of Rectangular Prisms 63 Creative Publications

@ 73 rn2 Answers @ 8,560 in.2

Page 65: The Authors - Mr. Dobbins' Dynamic Digits

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.

7 in.

1 in.

4 in. ,

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

MU

340 m2

IB

81.5 cm2

TOPIC 5-b: Surface Area of Prisms and Pyramids

RI

224 in.2

AR

22.6 m2

CH

3,120 mm2

CL

60.45 cm2

OW

148 cm2

E A

31 2 m2

OP

80 in.2

CA

145.92 cm2

FO

3,300 mm*

NS

25.8 m2

IL

11 8 in.2

KE

406 in.2

Page 66: The Authors - Mr. Dobbins' Dynamic Digits

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.

@ lateral area:

'5 crn

@ lateral area:

)do--- '*,

@ total area: @ total area:

12 cm

@ lateral area: a lateral area:

@ total area: @ total area:

II. Find the total surface area of each cylinder.

@ r = 8 in. h = 10cm h = 8 in.

II I. 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?

412.18 ft2

803.84 in?

792.1 6 m*

251.2 ft2

904.32 ft2

86l.6 cm*

367.38 m2

376.8 cm*

244.92 cm2

81 5.1 8 ft2

11,304 cm*

942 cm2

351.68 f t 2

775.14 in.2

533.8 cm2

271.296 m2

TOPIC 5-c: Surface Area of Cylinders D-66 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D 43 Creative Publications

Page 67: The Authors - Mr. Dobbins' Dynamic Digits

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

Page 68: The Authors - Mr. Dobbins' Dynamic Digits

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 classroom. is 26 ft wide, 32 ft long, @ A swimming pool is 20.6 rn long, 8.5 m and 9 f t high. What is the volume of the wide, and has an average water depth room in cubic feet? of 1.7 m. Find the volume of water

needed to fill the pool. If all the gold that has been produced in the last 500 years could be melted to @ A refrigerator is 3 ft wide, 2.5 ft deep, form a single cube, each side would and 6 ft high. The walls and other parts meas-ure about 16 m. How many cubic of the refrigerator take up 20 ft3. How meters of gold is this? many cubic feet are left for food?

@ Krispy Kritters Cereal used to come in a @ An aquarium weighs 22.5 lb when box with a volume of 2,850 cm3. empty. The aquarium is 30 in. long, However, The Krispy Kritters Co. 14 in. wide, and is filled with water to designed a new larger box 22.5 cm a depth of 18 in. Water weighs 0.036 wide, 6.2 cm deep, and 30 cm high. pound per cubic inch. How much How many more cubic centimeters will does the aquarium weigh when it is the new box hold than the old box? full of water?

D-68 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

TOPIC 5-e: Problem Solving: Mixed Applications O Creative Publications

Page 69: The Authors - Mr. Dobbins' Dynamic Digits

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 6 in.

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications Dm69 TOPIC 5-f: Volume of Prisms

Page 70: The Authors - Mr. Dobbins' Dynamic Digits

+ TRIVIA TEST * 1. What Is the Best Way

to Paint a Rabbit?

2. What Candy Do Kids Eat on the Playground?

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.

I. Find the volume of each cylinder.

@ r = 8 in. h = 3 in.

(('r 6 in.

I

20 in.

crn

Answers

@ 814.13 cm3

@ 565.2 m3

@ 381.36 mL

@ 141.3 cm3

@ 14.8 m3 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 a 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 @ A mug in the shape of a cylinder has a cylindrical mold with a radius of 2 cm base with a radius of 4 cm. How many and a height of 30 cm. How many cubic centimeters of wax are needed for the candle?

milliliters of liquid does it hold if filled to a height of 9 cm? (Hint: 1 cm3 holds 1 mL.)

TOPIC 5-9: Volume of Cylinders D-70 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

63 Creative Publications

Page 71: The Authors - Mr. Dobbins' Dynamic Digits

Why Did the Elephant Paint His Toenails Red, * Green, Yellow, Blue, and Purple?

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications D-71

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.

TOPIC 6-a: Squares and Square Roots

Area 400 ft2

@ 0 0

S = m S = cm S = f t

II. Find the square root.

@ W Q d i G

@dm (EJR

o m e r n Ill. Simplify.

@ 1 5 ~ @ 1 1 2 @ 252

@mi o m @ m+a @ m + m am-@ @rn @ m a @dm @ d m @m Answers for Part I and Part II

7 9 11 12 20 60 30 5 80 4 2 3 50 10100 6 90 8 1

18 10 121 11 12 0.1 14 25 0.5 15 0.4 0.9 225 7 5 715 4 625 2

Area 25 m2 64 cm2 n

Page 72: The Authors - Mr. Dobbins' Dynamic Digits

Why Did the Teacher Assign Extra Homework When She

Taught Adolescents? - - - a Find which two consecutivewhole numbers the square root is between. writethe 1 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

Page 73: The Authors - Mr. Dobbins' Dynamic Digits

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.

Why Do Adults Complain So Much? - - - -

0 0

A4 3 2 9 7 10 ~\ 10 Answers

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-73 TOPIC 6-b: The Rule of Pythagoras:

Finding the Length of the Hypotenuse

Page 74: The Authors - Mr. Dobbins' Dynamic Digits

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.

@ A rectangle is 6 m wide and 1 1 m long. How long is the 6 m diagonal of the rectangle? I 1 m

@ 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 length of its diagonal?

@ A quarterback at point A throws the football to

B

a receiver who catches it at / 25 yd point B. How A / r

long was the pass? 14yd - @ 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?

12 in.

12 in.

@ Kristin and her family lefttheir campsite for a hike. They hiked 5 mi west andthen 2 mi north. How far were they from the campsite?

@ The window of a 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 reach the window? 4 gl

@ The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base?

@ The lawn in front of Pythagoras Jr. High 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?

TOPIC 6-b: The Rule of Pythagoras: Finding the Length of the Hypotenuse

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D D-74 o Creative P~~blications

.. E x * a i r r j

E .G n l m C ' C 4 = n l

E ~ n j G - 4 -

E E 0

D E S A X D T N O I S N T A C K T E

"

~ N F ~ 7 ~ ~ w ~ ~ Y * ~ N r - F Y n l

+ .c u E a m g b * 0 6 . -

" Z - -

d n i c u c d d r i c u m

e CI -

Page 75: The Authors - Mr. Dobbins' Dynamic Digits

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. Ab a

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D D-75 TOPIC 6-c: The Rule of Pythagoras: O Creative Publications Finding the Length of a Side of a Right Triangle

Page 76: The Authors - Mr. Dobbins' Dynamic Digits

What Relation Is a Doorstep to a Doormat? Round each answer to the nearest tenth (if necessary). Cross out the box containing

8 each answer. When you finish, write the letters from the remaining boxes in the - f spaces at the bottom of the page. F 5

a 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 rope is stretched 26 ft from the top of the screen has a diagonal mast to a cleat on the deck of the ship. measure of 40 in. If the How far is the cleat from the base of -the screen is 32 in. wide, mast? how high is it? 32" @ Each side of an

@ A 25-foot ladder is leaned against a wall. If equilateral triangle the base of the ladder is 7 ft from the wall, measures 1 2 cm. how high up the wall will the ladder reach? Find the height, h,

of the triangle.

@ As across Greg an swam 80-meter A 6 6

@ Two jets left an airport at the same time. river, the current One traveled east at 300 miles per hour. carried him 30 m 30 m The other traveled south at 400 miles per downstream. How far hour. How far apart were the jets at the did he swim? end of an hour?

TOPIC 6-c: The Rule of Pythagoras: D-76

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D Finding the Lengtli of a Side of a Right Triangle O Creative Publications

PL 85.4 m

ON 25.5 in.

DO 12 cm

AR 9.4 in.

AS 9.8 cm

UN 17.8 m

OR 24 in.

PA 16.6 ft

MA 500 mi

TH 87.1 m

TE 26 in.

IN 9.7 in.

AM 5.3 cm

AT 24 ft

RU 10.4 cm

ER 18.5 ft

PF 520 mi

AN 8.3 ft

Page 77: The Authors - Mr. Dobbins' Dynamic Digits

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

r = 32 mlsec, t = 8 sec. m

where E is the voltage in an electric circuit with current I and resistance R. Find E if

1 = 2.5 amperes, R = 60 ohms. v

@ v = 9.8 t where v is the speed in meters per second of a free- falling object after t seconds. Find v if t = 5 sec. mlsec

@ S = (n - 2)180 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

@ = 4(220 - yl where B is the recommended maximum heart rate 5 during exercise for a person y years old. Find 8 if

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-77 TOPIC 7-a: Formulas

Page 78: The Authors - Mr. Dobbins' Dynamic Digits

+ + + Test of Genius +++

@ Identical cubes are stacked in the 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 $1 0 more. She went to a second store, spent half of her remaining money and then $1 0 more. But she then had no money left. How much money did she have to begin with?

@ If 8 widgets equal 4 curlicues and 2 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.

@ Steven has 9 gold coins that are 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?

@ In the following addition problem, the letters A, B, and C stand for three different digits. What digit should replace each letter?

A B C + A C B

C B A

@ 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?

@ 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?

TOPIC 7-b: Test of Genius Dm78 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

Page 79: The Authors - Mr. Dobbins' Dynamic Digits

Answers 1 - 3:

@ How many cm are in 1 m? 100 @ How many m are in 1 km? 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

Answers 12 - 19:

- -

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-79 ANSWERS

~ 1 2 a a a a l % "1% al; -11. 4? - 11 II II 11 11 II

1% 18 18 18 19 1s 8 8 8 8 6 8 - = = s = g c , P t g e , e u - - u u u

@@@@@lo

E r E o E I :

II I II II II n

I2 Z B O B B B @ 1s I!: 19 19

= S r c 5 6 5 % E f h z a g

- N T. g o @ @ @ @ TOPIC 1-b Measuring Line Segments Wnh n Ruler D-8

8 o R In N 0 0

$ % a x g 8

TOPIC 1 .C Renarn~ng Un~fs of Lenglh D-10

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.

1 meter (m) length of a baseball bat

@ length of an ant @ length of a new pencil

Q5mm ~ 5 c m A lgmm @19cm

@ height of a basketball hoop @ distance walked in 1 hour

" 30, 0 3 . @5km B 5 0 m

@ diameter of a quarter @ length of a paper clip

G 24cm @ 24 km @3cm S3Ocm

@ length of a tennis court @ distance driven on a freeway in 1 hour

O 2 4 m ~ 2 4 k m @85km A l l M m

@ thickness of a nickel @ height of a dining table

E-2Omm @2mm K 75 mm @75cm

@ length of an automobile @ length of a marathon race

T 400 m 0 4 0 km oiirn S 50m

: @ width of a dollar bill @ length of a sheet of typing paper

N 66cm 0 6 6 m m @28cm R 28 mm

@ height of a door @ distance from New York to Los Angeles

M 20cm 0 2 . D 450 km 4.500 km

1 6 5 1 3

T O P

D-7 TOPIC 1 .a Length

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 answer in the box containing the number of the exercise. If the answer has a e, shade in the box instead of writing a letter in it.

TOPIC 1-c. Renarnmng Un~fs of Lengch D-9

7 2 1 4 4

C O O K 1 1 3 6

T H E 1 2 9 1

F O R 1 5 8 1 0

B U S ,

Page 80: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS

-

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.

I. Choose the more reasonable estimate of capacity.

1 a pot for cooking O K 2kL @ 2 ~

@ a s w i m m i 5 1 ABOL 0 OkL

- ~ ~ O ~ ~ ~ ~ , ~ + O ~ + + + + ~ ~ ~ W ~ ~ ~ ~ ~ V + W + ~ ~ ~ ~ : . ~ O ~ O ~ ~ + O . P I I W ~ + ~ O ~ ~ + ~ W ~ W ~ ~ O O ~

II. Complete each statement. Answers 7 - 14:

@ 8.5 L = n, S a m ~ B 25 Y 90

@ 0.4L = YO0 mL U 1.750 W 40.000

@) 90.000 mL = 90 L 0 8,500 F 32

@.250m~ ;. 0 . 2 5 ~ 0 4,000 1 0.75

@ 1.75 kL = 4 750 L S 900 R 175

@40kL -$O,OOOL G 0.25 1 400

@?SOL ;. 0 . 7 s k L T 3.2 U 7.5

@ 3,200 L = 3. 2 kL 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

Ill. Solve. Answers 15 - 16:

15 Ms Sparkle bought 12 cans of diet soda. Each can O contained 350 mL. How many liters of soda did she buy? 4'2 4.2

16 Chef Pierre made 6.4 L of creamed carrot soup. If it is L 32 N 5.4 O served in 200-mL cups. how many cups can be filled? 32

I'M $N GWVE WITH YOU D-1 1 TOPIC I-d: Capauw

(0

1 @@@@.@ 00000 -

D-13 TOPIC 1 .I: Review: Capadly and We~phl

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D D-80 O Creative Publications

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 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 weight.

@ a nickel @ a postage stamp @ a bowling ball

( 9 5 9 a s k g @ 6 0 g a 6 0 m g @ k g @ 7 0 k g

@ a lemon @ a 12-year-old child @ a postcard

@12g @120g @40kg a 4 k g @75g @mg

II. Complete each statement.

@ 6 . 5 g = 6 ! S w m g Answers 7 - 14:

@ 0.eg = 600 mg 0 4 9 0 0 0 . 1 3 3

@4,9OOmg= 4.q g @ 800 @ 60.000

@ 133mg = 0.133 g @ 725 @ 6,500

@ 7.25 kg = m g @ 2.5 @ 13.3

@ 60 kg - &0!000 g @ 4.9 @ 7,250

@ 2 5 0 ~ = 0.25 kg @ 0.6 @ 80

@ eo,ooo g = 86 kg @ 0.25 0 65

Ill. Solve. Answers 15 - 16: 15 An average orange weighs 270 g. How many kilograms O doesabagof8orangesweigh? 2. 16 0 1 . 9 6 a 8 0 0 16 A vitamin tablet weighs 1.2 g. It contains 150 mg of Vitamin O C and 250 mg of B Complex vitamins. How many

milligrams of other ingredients are in the tablet? 800 @ 920 @ 2.16

# A f I ~ f @ B l # ~ f ~ B ~ H $ T P ~ B A I $ N % ~ K ~ P s / Answer to puzzle: F lSH TANKS

TOPIC I .B' wmmt D-12

'"4 What Should You Study to Learn

Cn How to be a Cowboy?

1 Cross out the letter next to each correct answer. When you finish. the answer to the title question will remain.

8 ' I. Complete each statement.

it a k X - @ 4 h t w m i n @ 7 min = -0sec

@ 2 h 3 0 m i n = ( 5 0 m i n @ 5 m i n 1 0 s e c = ~ s e c

's; @ 180min=&h @ 540 sec = min

k @ 8 0 m i n - I h z m i n @ 1 3 5 s e c = ~ m i n ~ s e c

0 @ 3 d = 7 2 h @ 3 d = q A & i n

h h II. Add or subtract. Simplify if possible.

'4 2 h 30 min 5 rnin 40 s 7 h 8 rnin m @ + 3 h 4 5 m i n @ + 8 min 50 s @ + 2 h 43 rnin

h b h i n 1r)m;o0s q h 5lm;rr

X

'u @ 8 m i n l O s @ 1 2 h 2 5 m i n @ 32rn in50s

k - 3 m i n 3 0 s - 5 h 45 rnin - 1 7 m i n 2 4 s

h Ymirr 405 6 h rCorn;n 15mh 265

W

\ @-g2;32s 5 d 4 h

B @ - 2 d I l h

II h b;

3-s 24 I7 h

+ P III. Solve.

w 20 It takes 15 h 20 min to travel from Los Angeles to Salt Lake City by O train. It takes only 2 h 38 min to fly belween the two cities. How k much longer does the train take? 1 2 h L( 1 fi

TOPIC 1 -g Time D-14

Page 81: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications D-81

- l R IS k 0063

- 5 2 O @ O 0, 5

J 5 C

2 UJ " -

0 19 la I t 1 = . OO@

c i

= .E la IZ .wg O ' '

1 8 @@@ fi 2 $2 g.s c c c E .g = e 8 8 12 I2 I8 E g

- - =. T o @ @ @

D-15 TOPIC 2-a. Measurinp Line Sepmencs Wnh a Ruler

A E

F

t4 G

3 t.(

K 1

9 C

D-17 TOPIC 2-a: Maawnnp Line Segments Wilh a Ruler

ANSWERS

Why Do Elephants Lift Weights? i~ 3+ in. 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.

. i @ 2% in.

i 0 + in. a

5f in. a

i . 4f in.

i @ 4+ in.

i a 3$ in. . in i @ 5$ in.

i a 3+ in. b

i @ P in.

. i a 2% in.

i@ I+ in.

+.kin- . i 0 I + in. . & 1 in. . im . 4 3 in.

i @ 2+ in. . . @ 2 in.

0 i @ 4% in. . TO QET mela EXTRA SIZE

TOPIC 2-a: Measuring ~ine segments ~ i ~ h *RUM D-16

L What Is the Title?

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 ------------ 836 24 7 5 29 126 36 10;6 60 1;7 8 100

I. Answer each question.

N How many inche E How many feet * are in 1 foot? & are in 1 yard? 3 D How many inche O are in 1 yard? & II. Complete each statement.

You are changing each measure to a smaller unit.

@ 2 b Z i i n .

@ 5ft=&in.

0 1 f t 6 i n . = a i n .

@ 8 A 4 i n . = E i n .

0 f i Y d = E n

a g y d 2 ~ = Z q n

@ 20yd 1 ft=&ff

@ 2 yd = 2 in.

@ 3 yd 18 in. = E 6 i n .

Ill. Complete each statement. You are changing each measure to a larger'unit.

@ 48in.=&n

@19in .= ft 7 in.

l in. = 5 ft 9 in.

0 2 4 t t = X y d

@ion= J vd 1 n @ 3 5 n = 11 vd 2 n @ l 8 0 i n . = L y d

@ 56 in. = 1 yd 20 in.

0 366 in. = (0 yd 6 in.

TOPIC 2.W Renarn~ng Unltr of Length D-18

Page 82: The Authors - Mr. Dobbins' Dynamic Digits

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.

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D Dm84 O Creative Publications

Books Never Written Beginning Your Exercise Program by 6 E bf SouEA

57' 99' 119' 137' 173' 85' 99' 33'

Checking Your Homeworkby R 1 t( 33' 76' 156" 33' 47' 125' 28' 14'

How to Leadthe Bandby M A R S A L 0 G 38" 62" 33' 90' 28' 62' 41' 173' 119' 125'

ABOVE ARE THE TITLES OF THREE "BOOKS NEVER WRITTEN." TO DECODE THE NAMES OF THEIR AUTHORS:

@ m~Pisabout @ mLX is abo t Measure each angle below and find your answer in the code. Each time the answer 835' @ 7 0 ° 6 5 ' &O0 appears in the code, write the vertex letter of that angle above it.

@ mLGis about is about L 55' a 5 0 O F30°

P 15' 173'

@ m f CAD is about @ mLPOO is about U 65" 0 9 0 " V 40' a 5 0 L 25'

@ mLBAD is about 15 mLZis about G 100' @30° 7 5 G40°

bogs; FOR H 6s DtNo SORES

D-27 TOPIC 3.c: Esltmal~ng Angle Measurer

D-29 TOPIC 3-e: Drawing Angles With a Protractor

TOPIC 3-4: Measunnp Atqler Wilh a Protractor D-28

W h y I s a Party Like Pouring Oil Into a Car?-

! i

I. Find the measure of the angle that is complementary to the angle having the measure given.

@ 20' 70° @ 67' 23. @ 14' 7 6 O @ 81' @ 4 5 0 3 5 ~

II. Find the measure of the angle that is supplementary to the angle having the measure given.

@ 1200 60° @ 560 124' 0 29' 151' @ 162' la0 @ 8 3 0 9 7 ~

Ill. Find the angle measure that is not given.

151' 76' 64' 56' 62-5' 124' 145" 17' 70' 133' 9'

1 I (~151 I~HICREI I T I H I E J F J U N I F I E I L I S E ~ 43" 125' 97' 60' 36" 23' 37' 18' 30' 108* 113'

TOPIC 3.1 Compiemsntary and Supplemenlaw Angles Dm30

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.

! :

Page 83: The Authors - Mr. Dobbins' Dynamic Digits

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 containing the 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.

h Street is petpendicuiar to Elm Avenue. LECH is an obtuse angle.

m Avenue is parallel to Disk Drive. LABE is an acute angle.

Perpendicular lines intersect to form right angles.

Parallel lines never intersect. Elm Avenue is perpendicular to Oak Avenue.

Page 84: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS

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? ~nswer: A - B Q L L M - H E E ~ L ~ ~ E L

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

@ m L P O R = 1 ( 3 ° @ ) ~ L D A B = ~ O ~ @ ~ L x z Y = L ~ ~ ~

@ m L P Q T = 6 7 ° @ ~ L D A c = ~ ~ ~ @ ) m ~ Y = 5 9 0

D-86 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

TOPIC 3-k' Rev~ew. Aelatsd Angles D-36

Why 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.)

1 quadrilaterals: _S)-tE

@ rhombuses: F

TOPIC 3.1 Quadrtlaterals D-38

@ mLM= 5 3 O @ mLE= 6 3 O @ mLBOC= 99 O

D-35 TOPIC 3-k. Revlew Related 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.

Can a Polar Bear GO On a Safari?

@ rectangle

@ trapezoid

@ square

@ parallelogram ............................................................... @ rectangle

@ trapezoid

@ parallelogram

@ rhombus ............................................................... n l yT 9 0 $ z:oid

@ parallelogram

@ rectangle ...................*.............. . . . .V**. . .**~******.*** .* .*

@ rectangle

@ rhombus

1

D-37 TOPIC 3-1: Quadnlalerals

2 N O T

8 3 4 7 9 5 8 S A F A R I S

10 11 12 13 1

14 15 16 % H O W

17 18

Page 85: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications Dm87

Why Didn't the Snobbish Potatoes Want Their Daughter to Marry a News Broadcaster?

Under each figure, circle the number-lener 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- parallelogram 13-1 rectangle 4-D rhombus

21 -E parallelogram

a q u a d r i l a t e r a l 12-0 parallelogram 24-N trapezoid 3-8 square

D-39 TOPIC 3.1 Ouadr~laterals

NOTE: Part II of this puzzle introduces students to the concept of corresponding parts of congruent triangles.

Why Couldn't Orgo Buy a Round Trip Ticket?

ANSWERS

Follow the directions for each section. Each exercise will give you a number-lener pair. Write the lener 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. AABC - ADEF AJKL - ARST

II. Complete each statement, then find your answer in the answer column. Use the number of AXYZ - AHPV AOGW - ANMU the exercise and the letter of the answer.

AABC s AEDF Answers 6 - 11 : @ Z E P P E @ L A P L E

B D

ASKM r ANGJ Answers 12 - 17:

AEFG - AHIG ATLC - AOKC

@" @ L G

ARHX s AWL

D-41 TOPIC 3.n. Congruent Polygons TOPIC 3.0 S~m~lar Tr~englss D-42

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 bonom of the page.

O 1 A triangle is a with three sides O and three angles.

2 A polygon with four sides and fourange isa . I Q ~ U ] A D ~ # I

3 A polygon with five sides and O five angles is a .

@ A rgygon with six sides and six angles

P o

@ A:;::;; is a polygon with eight sides

@ A r!gon with ten sides and ten angles

P E N ~ A A O ~

@ In ;t~: set of figures above. Figure A

@ Figure 0 is an .

L & ~ E ~ A L

A E % A ~ & ~ J

d!i

L Y ~ o &

@ Figure C is a .

@) Figure D is a .

~ c - f ~ a o ~

I P E N ~ A G O N

E X A C O ~

D € C X , c o r J 11 The point of intersection of two sides of O a polygon is called a . 12 A line segment (not a side) connecting two O vertices of a polygon is called a . I D I A & 0 f i A L 13 A polygon with all sides the same length O and all angles the same measure is

called a polygon. R ~ C U L A &

3

TOPIC 3-m: Pn~ygons 0-40

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.

4

G E T 6 5 7 11

T H E 15 8

N E A R 12 16 9 13 17 10 14

A N T 18 19

H E A T E ~ z 20 21

Page 86: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS D-88 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

V What Did the Secretary Say 0 ' to Her Boy Friend? Q 'v*

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.

t I

' 4 1 '4' @) IlYP-E. 1

1

/ ' + TOPIC 3.q Loner 01 Symme~ry D-44

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

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

A

page. Then write the letter of the exercise above its correct answer.

The figure at the right is a circle with center at 0.

@ 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 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 following is 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 following is 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 a 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.

.:: spaces at the bottom of the page.

OO@OOO@@O@OO tn

2.9 km 0.9 m

1.8 m

24 in. 24 in.

2.5 km.

40 cm 200 Ckr 3s ft

@ Find the perimeter of a sheet of 14 How many feet of border are needed typing paper 8 3 in, wide and 11 in. O to go around a square bulletin board long. that is 4.5 ft on each side?

39 ih. llrr f?

TO snoot T n t RAPIDS TOPC 4-a: Perimeter D-46

D-45 TOPIC 3-r. Spaca F~gurer

0-43 TOPIC 3-p C~rcles

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.

z c u g m

I S

-0

5 r ~ d

0 .

O N E

9 ~ y m E " s o O . = c

$

P L U S

0 g c e l o o I c o C c

O N E

$ ~ ~ $ c % E c ~ o ~ ~ ~ p ~ 8 ~ . ~ ~ 8 ~

Page 87: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications Dm89

NOTE: You might want to have students draw and label a diagram for each exercise.

What IS the Title?

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:

5 A l L Q R E L . S H L ~ ~ - 21 6.3 15.75 42 16.6 70 215 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. B Rectangle with sides of 22 in. O 3.9 cm. and 4.5 cm i k & m and 28 in. M i n .

@ Square with sides of 16.4 m 6 5 L 6 m I Equilateral triangle with sides

E Parallelogram with sides of O of 5.25, I 53J51

40 cm and 75 cm m c m H Regular hexagon with sides of 2.75 in. 16.5 in. @ ;;:"$;?with sides

km @ Rhombus with sides of 50 ft 200 ft ............................................................... II. Solve.

L The width of a large American flag is 8 ft. N The width of a rectangular poster is 16 In. * Its h g t h is 5 it more than its width. Find O Its length is Mice its width. Find its its perimeter. L)l ft perimeter. in.

M The perimeter of a square window is F The perimeter of a triangle is 38 ft. One O 360 cm. Find the length of one side. O s~de is 14 ft long Another side is 9 ft h g . cm How long is the third side? f l

R A pennant is shaped like an isosceles S The longest side of a triangular sail is 9 m O triangk The short side is 14 in. long and O long. The second side is 1.5 m shorter is half the length of each longer side. Find than the longest side. The third side is half the perimeter of the pennant. the length of the longest side. What is the a in. perimeter? - U r n

D-47 TOPIC 4-a Penmeter

P

. . &

2

1

z n

u > 5 - , , , - D-49 TOPIC 4.b C~rcumlerence

ANSWERS

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 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.

@ d = 3 c m C = 125.6 in.

@ d=8in . C-31.4cm

@ d = 7 c m C = 94.2 in.

@ d=4Oin. C = 9.42 cm

@ d=9.2cm C = 72.22 in.

@ d = 1.5in. C = 301.44 in.

@ d=600m C = 25.12 in.

@) d = 23 in. C = 15.7 in.

@ d = l O c m C = 28.888 cm

@ r = l m C = 13.816cm

@ r = 6 c m C = 15.7cm

@ r = l 5 i n . C-21.98cm

@ r=2.2cm C 5 6.28 in.

@ r = 48 ~ n . C=314m

@ r=3.9cm C = 4.71 in.

@ r=2.51n C = 37.68 cm

@ r=2.5cm C = 24.492 cm

@ r = 5 0 m C = 1.884m

1

SHE WAS ?LAVINE* 6 V @PILL TOPIC 4.b C~rcvmlerence D-48

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

--I----

1 1 1

7

OOOW PAPA TOPIC 4.c Area of Rectangles D-50

3 2 4 6 5

S H E W A S P L A Y 7 8 10 9 11

r 14 12 13

N G B ~ 15 16 17

E A R 18

Page 88: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS

NOTE: Students need metric rulers for this puzzle.

hat Did the Baseball Coach Look For in Space? Why Do Elephants Have Ivory Tusks? Measure the length and width of each rectangle to the nearest cm. Do each exercise and find your answer in the answer columns. Write the letter of the

V) Then compute both the PERIMETER and AREA. Find both answers in answer in each box containing the number of the exercise.

'Q 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 I. Find the area of each figure.

‘P cross out.) LT When you finish, the answer to the title question will remain.

*cF W

'9 L C 20 em 8 in. 16 cm * a 2 5 ~ ~ ~ 22 e m II. Find the area of the shaded region in each figure.

I- 28 cmf. \ 'Q 'Q x b

Ill. Solve. V)

10 A bedroom is 15 R long and 12 R wide. 11 A rose garden in the city park is -I O HOW much will it cost to carpet the room O rectangular and is 9 m wide. If the area

'Q if carpeting costs $22 per square yard? 2 4 c m a

of the rectangle is 144 mz, what is the

kl ( lyd=3R) $4- length of the garden? 16 m ..~....................... ANSWERS ..........................

\ @ 219 ft2 @ 68 in.2 @ 251 ft2 @ 124 cm2 @ 21 m2 @ $440 4

'r @ 20 m2 @ $520 @ 108 in.2 @ 24 m2 @ 88 112 @ 19 m

m 30 cm2 a 135cm2 @ 171 ft2 @ 16m @ 165112 @ 119in.2 @ 1 8 m 2

a Z I cm'

Dm90 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

D-51 TOPIC 4.c: Area ol Rectangles

How Was the Wooden Marionette Related to the Wooden Diving Board?

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 Rand had 15,520 pieces. It was constructed by the United Way in Answers Keene. New Hampshire. @ 1.7

1 What was the area of the puzzle in *? 4: 67s R2 @ gg7,228.6 2. What was the area of the puzzle in in.?? 673; 200 in.2

3. What was the averagesize of each piece? 4 30 4 in.2 @ 465 -.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.- @ 7.130 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 @ 673.200

squares sewn together. @ 15.344

4. What is the area of the quilt in R2? 6,925.2- ~2

5. what is a area of the quilt in i n n 99T4 2 2 8 q 8 i n . 2 @ 27'099'4

6. What is the area of each square? 6 J ,8 in,2 @ 2.1 -.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.- @ 4.675 WORLD RECORD: The world's longest buffet.taMe was 3.304.8 ft long and 8.2 R wide. On June 19, 1.982, approximatery 4.000 people, @ 86.310 including HM The King of Sweden, were seated at the table. @ 917.106.6 7. What was the area of the table? ':*:' @ 6,925.2 8. What was the perimeter of the table? I

@ 6,626 9. If 4,000 people were equally spaced around the perimeter of the table, @ 14.904 how far apan were they sitting? 1.7 n . . . . . . . . . . . . . . @ 61.8

WORLD RECORD: The largest American flag ever made was first displayed on March 22, 1960, and measures 411 by 210 R.

@ 4.835

10. What is the area of the flag in R2? $6,3 1 0 n2 @ 9.590

11. What is the area of the flag in yd2? q,Sqo yd2 @ 43.4

12. The fabric used for the flag weighs about 1.6 Ib per ydz. About how much

(@ 83.820

does the flag weigh? 153't3 lb 0 2 8 , 1 8 6 . 4

T I * I E I ~ IH IA IO I T H ( € I S 14 IMIEIF A I M I I I L Y ~ IUE IE 3 1 7 1 9 1 1 5 1 1 0 1 4 1 8 1 1 1 2 1 2 1 6

rwav HAD THE FAMILY TREE D-53 TOPIC 4.6. usmg a Calculator Pertmeter and Area

(RON ONES WOULD RUST TOPIC 4.c Area at Renangles D-52

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.

12 rn

I

0.7 m II. Solve.

7 The base of a parallelogram is 10 in. 8 The height of a parallelogram is 4.5 cm. O The height is 2 in. more than half the O The base is twice the height. What is base. Find the area. 7 0 ; 0. a the area? yo. S e m a

9 The area of a parallelogram is 60 sq R. 10 The area of a parallelogram is 375 cm2. O The height is 5 R. How long is the O The base is 25 cm. Find the height. base? 12 #+ I S C ~

TOPIC 4-w Area o( Parallelograms D-54

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MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications Dm91

- N

E d

D-55 3 TOPIC 4.1 Area 01 Tr~angles

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.

o

C

D-57 TOPlC 4.9 Renew Penmeter and Area ol Rectangles Parallelograms and Trnangles

ANSWERS

What Happens When the Smog Lifts in Los Angeles, California?

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.

28 -0 cm

p j @A 2 m w r n a 8 7 m 30 cm

6 m i 25 cm 8.2 cm

I 7 c m

10 m 22 cm

12.4 cm

1 4 m I

15 m

, , -13 so n

a ;to,Bcm 1 7 c n t @ b.6m r.35ma@

14 cm 3 m I 1.5 m

TOPIC 4.1 Area01 Trlangles D56

What Game Did Tarzan Like to Play? Do each exercise below. F~nd your 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.

I. Find the area of each trapezoid. I,*- ma 20 m

140 m 6 in.

10 cm 16 in.

l .5m

3.2 cm 7 It 2.8 m

9 b, = 70 cm @ 2::::: 0 ,=3,cm

h = 5.0 m h =25cm 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 bOems :6 cm r %oc& 20 cm

@ 1.400 m2 @ 95 cm2 @ 77 ft2 @) 1,250 cm2 @ 4.5 m2

d f t c ~ ( ~ R I ~ P ' A d f d P I z B A Y ~ A ~ C ~ V P I E q d p l s bJ Answer to puzzle: c z y APES,

TOPIC 4.h Area 01 Tfapez~lds D-58

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ANSWERS D-92 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D O Creative Publications

ula c.5 000 "i 0063 e

'- @@a Cucumterence am Area 01 C~rdes D-60 TOPIC 4.1 Rev~ew.

How Do You Get a One-Armed Monkey Down From a Coconut Tree?

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.

I . Find the diameter of a circle if the circumference is 8 cm. Round to the nearest tenth. 2, 5 q m

2 Find the diameter of a circle if the circumference is 24.5 m. Round to the nearest tenth. 7 0

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. 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. IS+ in .* B. The area of the medium pizza. q J i C. How much larger is the large pizza? 59 in.2

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. Sq 3 . 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. 9 .6 in

Round to the nearest tenth. B. How much less is the diameter of the basketball than the

diameter of We hoop? 8, 4 in , 9. A circle is cut out of a p~ece of [] (6.

plywood that is 10 in. square. The scraps are thrown a w a y . 7 $ , ~ A. Find the area of the circle.

10 in.

8. How many square inches of i n- y, .. .i. plywood are thrown away? '' '

21.5 insa TOPIC 4-k. Problem Solang: Mu& Appllcsnons 0-62

D-59 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.

Why 1s a ~a therna tk ian 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.

Answers 4 - 5:

@ @) 706.5-h'

0 5 , 1 7 4

@ 24.930

@ 2.54 km @ 0.79 ma @ 0.9 km

@ g42ft

@ 690.5

@ 2.91

1. A circle has a radius of 12 in. Find:

@ The diameter of the circle. 24 in . @ The circumference of the circle 75-36 in , a The area of the circle. l+52. )6 in. t

2. A circle has a radius of 4.4 cm. Find

@) The diameter of the circle. 8.8 @ The circumference of the circle. 27. 6 3 ~ ~ @ The area of the circle. 7 q -2.

3. A circle has a diameter of 60 m. Flnd:

(ij The radius of the circle 30 rn @ The circumference of 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

Answers 1 - 3:

@ 27,63co

@ 61.43

@ 3 0 m

@ 75.36 ;tl.

@ 461.36

@ 8 . 8 ~ m

@ 172.4

@ 24 in. @ 60.79"""

@ 2.826 ma @ 5.024*i

@ 5.65 km @ 0.87

@ he circumference of 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 O of rope that IS 15 lt long. What is the area of the @ 2'516 @

circle in which the cow can graze? 7 06. S e a T A round game table has a diameter of 1 m. How much plastic O kmtnate is needed to cover the top of this fable? 0.79 ma S The diameter of the earth at the equator is about 8.000 mi O Based on this figure, how far is it around the earth?35, i @ Radio station KROQ broadcasts in all directions lo a distance

of 40 mi. How many square mfles are In the statio

L WORLD RECORD: The world's largest Ferris Wh O London in 1897 The wheel had a radius of I50 i t you travel in one tum of th~s wheel? q 4 2 ft

Dm61 TOPlC 4.1 Rev~ew C!rcumterence and Area ol Chrcles

@ 4521

@ 25.51

@ 188.4 1*1

Page 91: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D o Creative Publications D-93

b OD m = $

ID

D-63 TOPIC 4-1: -ern Solving: Chwrinp a Fwnula

What IS Cold And Comes In Cans? Find the surface area of each figure. Cmss out the box containing each coned answer. Wben you finish, wrlte the letters from the remaining boxes in the spaces at the bottom of the page.

@ 146 ema 22.6 ma

ANSWERS

2.0 m 12 cm 5 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 @ r=8in. @ d=10.8m h = 8 in. h - 2.6 m

12 A can of tomato juice is a cylinder with a radius of O 7.5 cm and a height of 20 cm. What is the area of the label around the can? 9 42 em 'L

13 A steel oil tank is a cylinder with a diameter of 12 ft O and a height of 18 ft. How many square feet of steel were needed to make the tank? qo4.92 &a

3 8 1 3 1 1 6 4 2 9 5 8 10 11 1 2 1 1 1 7 2 1 3 1 3 4 10 T o M A L E u P F o R A B A D ~ u M M E R

C H 4 ~ 1 BEANS yo M AUE U P POCL A B A D SuHMiiO D-65 TOPIC 5-b: Surlaw Arsa ol Pnms and Pyramids TOPIC sc: Surtaca AM of Cylindem D-66

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= @ 104- ma @ q , 6 M , in.%

25 e 92 en? 3 3.1 m @@ 2.7 cm @@: 5.6 m

2.2 m 1.8cm lJcm 9.4 m

7 A rectangular storage box is 12 in. 8 A teacher made a pair of foam dice O wide. 15 in. iong. and 9 i n high. How * to use in math games. Each cube many square inches of colored paper measured 10 in. on a side. How are needed to cover the surface of many square inches of fabric were the bow? G L ) ~ in 2 needed to cover the two cubes?

1,200 in.%

@ 73 m2 Answers I @ 8.560 in..

@23.12cm2 @94cm2 @ 318.26 m2 @ 25.92 cm2

(@ 846 in.2 a 86 m2 @) 9,600 in.? @ 1,050 im2

@ 104 m2 @ 1,200 in.2 @ 300.56 m2 @ 85 cm2

G I E 6

T I ~ - ~ E I R E I W A I S 4 2 7 1

TnEPf WAS N O CHANGE TOPIC 5-a. Surta~4ren of Rectangular Prisms D-64

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 r.

I. Find the lateral area and the total surface area of each cylinder.

N ~ O 5

C I H 8

A I N 3

Page 92: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS D-94 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

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.

@ t - 3 ~ 7 ; h - 2 @ I-;;3;h=6 @ t = ; y 5 ; h = 3

1 Do each exercise and find your answer in the answer column. Answers Write the letter of the answer above the exercise number each time it appears in the code. Use 3.14 for K. @ 814.13cm3

@ 565.2 m3 5.8 cm 8 rn

6.4 cm IS. 4-rn3

346 -3

1 7.5 m 4.3 cm I

--- - ,I s in. *. 8.5 in. @ 1,224.5 mm3

@ 7.850 m3

6 in. @ r=8in. @ r=2.5mm @ d = 1 0 m

B=52m2

$h@

h = 60 mm @ 614.2 m3

11. olve. 1,117.smm3 k2gzm3 10 Shawn IS making a candle using a 11 A mug in the shape of a cylinder has a O cylindriLal mold with a radius of 2 cm O base with a radius of 4 cm. How many

and a height of 30 cm. How many milliliters of liquid does it hold if filled to cubic centimeters of wax are needed a height of 9 cm? for the candle? (Hint: 1 cm3 holds 1 mL.1 Y 52. I 6 m L

3 7 b . 8 c m b TOPIC 5-g: Volume 01 Cylinders D-70

D-69 TOPIC 5.1 Volume ol Pr~sms

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. 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. 5 A swimming pool is 20.6 m long, 8.5 m and 9 ft high. What is the volume of the O wide. and has an average water depth room in cubic feet? 7, r) 80 f+ 3 of 1.7 m. Find the volume of water

6 If all the gold that has been produced in needed 'I' lhe *". *

O the last 500 years could be melted to 7 A refrigerator is 3 ft wide 2 5 ft deep form a single cube. each side would O and 6 ft high. he walls 14 other measure about 16 m. How many cubic of the refrigerator take up 20 ft3 HOW meters of gold is this? 3, OQ 6 m 3 many cubic feet are left for foodi 25 $+ 3

8 Krispy Kritters Cereal used to come in a 9 An aquarium weighs 22.5 lb when O box with a volume of 2,850 cm3. O empty. The aquarium is 30 in. long. However. The Krispy Kritters Co. 14 in. wide. and is filled with water to designed a new larger box 22.5 cm a depth of 18 in. Water weighs 0.036 wide. 6.2 cm deep, and 30 cm high. pound per cubic inch. How much How many more cubic centimeters will does the aquarium weigh when it is the new box hold than the old box? full of water? =q r) . 66 \b

\, 335 em3 ..................... . ............................... ANSWERS -...- ........-. - ............................. @ 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

40 G ~ O ~ N I E

D-67 TOPIC 5-d: Volume of Racmngular prisms

NOTE: You might want to compare the first 2 figures on the second line. The triangular prism is half the rectangular prism.

What Is Big, Gray, and Lives in California?

Find the volume of each prism. Write the letter of the exercise in the box above the ' answer at the bottom of the page.

36 24

T H E Y 6 0 ~ E wbTY T W E SCHWI N N

TOPIC 5-e. Problem ~oivanp Appl~caaons D-68

4 TRIVIA TEST 4

1. What Is the Best Way to Paint a Rabbit? zI 1 a'-!! & P c-2 !??%A Y-

4 7 2 8 8 3 1 1 5 1 0 1 f l 3 6 2. What Candy Do Kids Eat

on the Playground? ------------ R E C e s s 0 p l E c E S 11 5 9 5 1 0 1 0 1 7 5 9 5 1 0

W I T I H ~ l t t 8 ! 2 6 1 4 7 3 9 5

16 48 €18 32 80 C I H 72 45 w1.1 64

W E R E N ~ N 12 28 30 75 60 42

O d E L E S S 18

Page 93: The Authors - Mr. Dobbins' Dynamic Digits

MIDDLE SCHOOL IVIA'TH WITH PIZZAZZ! BOOK D b

o Creative Publications D-95

Why 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.

25 m2 64 cm2

m s=-.JLcm s = a f t

11. Find the square root.

am7 o m 4 0 @mq 0 - 6 2 (TJdTiZ12 @dT I

@ d s o o M @ 0 3 D 5 0 @ W S O 100

Ill. Simplify.

(3 152 225 @ 112 I21 @ 252 (125

@J225 I5 @1(121 11 (iJJ625 25 @Jis+& 7 @dX+Ja4IJf (EJGS-fiZ

@J16+9 5 @ m - T l x i O QJ25-94 @Jo.sl0.9 @ r n O . I

D-71 TOPIC 6-a: Squares and Square Roots

Why Do Adults Complain So M 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.

3 9 10 @ J85 = 9.2

J562 - 23.7 @ Ji3O = 11.4

9 @J289=17

18.6 20 @ J580 = 24.1

O O @~2,500=50

Q 5 16K @-=18.6 @ LOB = 9.4

4 @ d275 = 16.6 @ J65= 8.1 @ \12DO = 14.1

@ J269 = 16.4

THEY &RE R OA " PS TOPIC 6-b: T b Rub 01 PpIh@ciras. D-73 Finding the Langth ol the Hypotenuw

ANSWERS

Why Did the Teacher Assign Extra Homework When She

Taught Adolescents?

for the rest.

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.

Use the top number line for the first set of exercises, and the bonom number line

0130 S,b on 1,2 6,7

@a 2,3 @dB 4,s oJ120 10,tI

am I I , l 2 a m 9,10 @Jll 3 , 4

S,q oJ0.5 0 , I @J59 7,8

S ti € * H A 5 .7 - R Y I I\( Q * = = = : = = = = = = = = = * 0 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2

@J75 8,9 @/20 4,s ad3 1,z

@a 2 , 3 7,s 9 , l O

m 0 I o m 1 1 , 1 2 am 3,4 @/o.l 0 , I @J33 5 , b QJ40 697

7 O ' A D D - A - l - E S S 0 f.l C

0 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2

TOPIC 6.e. Squares and Squaw Roots D-72

NOTE: Students will need calculators with a square root key or a table of square roots for this puzzle and the 2 that follow.

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 lener above It. When you finish, the answer to the title question will remain.

@ Find the length of the hypotenuse of each right triangle.

10 cm 15.3-

2 A rectangle is 6 m 6 Kristin and her family left their campsite O wideandllmbng. 6 m F j O for a hike. They hiked 5 mi west andlhen How long is the 2 mi north. How far were they from the diagonal of the campsite? 5. nq ; rectangle? I2 . S m 11

7 The window of a 3 A television screen may be described O burning building is 40 O in terms of the diagonal measure of

its screen. If a TV screen is 20 in. wide feet abve the ground. iF The base of a ladder is

and 15 in. high what is the iengtk of pla+ 9 feet from the its diagonal? & ; n . building. How long

must the ladder be to 4 A quarterback at reach tlle wiwlw# + 4 + O pint throws

the a receiver football who to @ The feet apart. bases How on a far baseball is it from diamond home are plate 90

catches it at point 8. H w

to mend base? I 27.3 f+ long w t pas 28 .Y Yd? 14 yd 9 The lawn In front of Pythagoras Jr. High O is in the s h p of a rectangle 24 m long

5 A rope is stretched from the top of a and 10 m wide. How many meters O &foot tent pole to a point on the ground shorter is your walk if you walk 12 ft from the base of the le. How long diagonally across the lawn rather than istherope? 13.9 ff along two sides of it? e/

1 1 1 J 1 1 1 1 1 1 1 1 1 1 1 1 1 ~

TOPIC 8-b: Tk Ruk ol Pylh.pmr. E A T l N C r

F i~ thaL .nono lUwHpImw. D-74

Page 94: The Authors - Mr. Dobbins' Dynamic Digits

ANSWERS

Cryptic Quiz 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 70.7 14.5

2. How would you describe a job in the Acme Mitten Co. shipping department?

B O X I N G G L O V E S - - - - 22.4 16.1 19.2 5 19.6 6 68 6 8 16.1 9.2 70.7 6.3

3. What can be right but never wrong?

A N A A & L E 8.8 19.6 7.4 8.8 19.6 6 8 70.7

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.

@ a = 9, b = 4, c = 9.6 @ a = 5 0 , b = 5 0 , c = 70.7

@ a = 8 , b = 1 4 , c c 16.1 @ a = 22.4 , b = 2 0 , c = 3 0

@ a = b-3 , b = 3 , c = 7 @ a = 6 , b = 9,2 , c = 11 '

@ a = 10.9 , b = 5 , c = 12 @ a = I , b = 1, c = 1.4

@ a = 6 , b = a , c = 1 0 @ a = Iq.2 , b = 1 6 , c = 2 5

@ a = 5 , b = x , c = 6 @ a = 2 , b = 8.8 , c = 9

@ a = 4 , b = 14.5 , c = 1 5 @ a = 8 , b 3 1 5 , c = 1 7

0 a = 12. b - 5 . c = 13 @ a - 1 0 . b = lq4b . c.22

TOPIC 6-c: me Rule of Pyihagons: D-75 Findlw the Length of a Sie of a Right T r l ~ l e

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.

a dart where d is the distance traveled by an object moving at speed r in time 1. Find d i f

=m r 32 rntsec, t 8 sec.

@ E = l R where E is the voltage in an electric circuit with current land resistance R. Find E if

1 = 2.5 amperes, R = 60 ohms. x.3~ @ v = 9.8 t where v is the speed in meters per second of a free-

falling object after t seconds. Find v if 4q m/sec t 5 sec. -

@ S= (n - 2)180 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

@ V m hw2 where V is the volume of a prism with a square base of side wand wilh height h. Find Vif

cm3 h=lOcrn, w=7cm.

where L is the approximate length of a skid in feet for a car traveling at s miles per hour. Find L if

s w 60 milh. Mn @ F = 1.8C + 32 where Fis-the Fahrenheit temperature equivalent to

Celsius temperature C. Find F if C 1 209

@ q228 - v) where B is the recommended maximum heart rate during exercise for a person y years old. Find B if

y = 15. beaWsec

D-77 ,-a: Fotmula.

D-96 MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D

O Creative Publications

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.

a For each right triangle, find the length of the side that is not given.

Q a 7 in. C

6 cm I 7. em 12 c m 2s. Sin.

5 The mast of a sailing ship is 20 f l tall. A O rope is stretched 26 D from the top of the mast to a cleat on the deck of the ship.

TOPIC 6.c The Rule 01 Pythagoras ~?nd!ng the Length 01 a Stde ot a RIQM Tuanple D-76

h

* * * Test of Genius +++

i o u S Z C ~

@ Identical cubes are stacked in the 6 Steven has 9 gold coins that are corner of a room as shown. How many

I t O identical in appearance. However, one t 8 2 2

101-102-1 1 0 1 - 1 0 = I

3 Ms. Smucker went to a store, spent half O 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, 8 The teacher noticed there wen fewer f u How much money did she have to O than 100 students on the playground -; f begin with? $60 When she counted them by 2s. there + f I. was 1 student left over. In fact when -- *

4 If 8 widgets equal 4 curlicues and 2 Me counted them by 3s. 4s. i s , or 6s. 8 L'. ' O curlicues equal 3 goofups, then 16 there was always 1 student left over. Y 8 Ss widgets equal w many goofups?

1% How many students were on the + playground? 6 I

5 Draw the figure below without lifting O p u r pnci l from the page or tracing

TOPIC 7-b: Test ot Genius D-78