Mathmetics-11

(1)

(2)

NOTES

FROM

_THE_THE

AUTHORS

MIDDLE

MIDDLE SCHOOLSCHOOL_MATH_MATH

is a series of five books designed to provide is a series of five books designed to provide practice with skills and concepts taught practice with skills and concepts taught

in

in_{today's middle sch}_{today's middle school mathemati}_{ool mathematics}_cs

programs.

programs. The series The series useuses many os many of thf thee same puzz

same puzzle fle formats aormats a ss PRPRE E AL ALGE- - GEBRBRAA and

and ALGEBRAALGEBRA

both published by Creative Publications. both published by Creative Publications. W

We belie believe eve tthhaat mastt mastery oery of maf math skills anth skills andd concepts requi

concepts requires both res both gogood teaching and aod teaching and a grea

great deat deal ol of practf practice. ice. Our goal Our goal is to provideis to provide puz

puzzle azle activitictivities tes thaha t make tt make t his his practipracticece more meaningful and effective. To this end, more meaningful and effective. To this end, we have tried to build into these activities we have tried to build into these activities three characteristics:

three characteristics: 1.

1. KNOWKNOWLEDGLEDGE OF E OF RESULTS.RESULTS. _Various_Various dev

deviceices ars are ue used sed in tin the he puzzlpuzzles to tees to tellll stu

stu dedents whether or not their annts whether or not their answersswers ar

are correct. e correct. FeedbFeedback occurs immediateack occurs immediatelyly after

after

For example, if a particular answer

For example, if a particular answer iiss _not_not

in

in_{the code or scrambled answer list, the}_{the code or scrambled answer list, the}

student knows it is incorrect. He or she student knows it is incorrect. He or she can t

can t hen then try again or asry again or as k fk for hor helpelp.. Additional feedback and reinforcement Additional feedback and reinforcement

have tried

have tried to minimizto minimize e ththe time spee time spe nt onnt on finding answers or doing other puzzle finding answers or doing other puzzle mechanics.

mechanics. 3.

3.CAREFUL SELECTION OF TOPICSCAREFUL SELECTION OF TOPICS AND EXERCISES.

AND EXERCISES. _{The puzzles within}_{The puzzles within} each topic area are carefully sequenced each topic area are carefully sequenced so that each one builds on skills and so that each one builds on skills and conc

conceptepts previously covs previously covered. Theered. The

sequence of exercises within each puzzle sequence of exercises within each puzzle

i

iss _{designed to guide students in incre}_{designed to guide students in incre}

--mental, step

mental, step--byby--step fashion step fashion towardtoward mastery of the

mastery of the

A

A primary goaprimary goall iiss _{the development of}_{the development of}

problem

problem--solving solving ability. In ability. In order order to solveto solve probl

problems, studems, stud entent s need not s need not ononly rulesly rules and

and strategies bustrategies bu t also a t also a meameaninningfugfull unde

understarstandinnding og of basic concepts. Somef basic concepts. Some puzzl

puzzles in tes in t hihis series as series are designed spre designed speciecif f

--ically to build concepts. Other puzzles, ically to build concepts. Other puzzles, espec

especially those for estimatially those for estimation, also helpion, also help deepen students' understanding by

deepen students' understanding by encou

encouraginraging them to loog them to look at k at numbers anumbers a ss quant

quantities ratherities rather thanthan_ju_{ju st}_{st a}_{a s symbols to}_{s symbols to} be manipulated. For puzzles specifically be manipulated. For puzzles specifically keyed to

keyed to problem solving, problem solving, we have triedwe have tried to write prob

to write problemlems s thth at at are are intereinterestingsting nd

nd uncontriuncontrived. Wved. We have included extrae have included extra W M H

W M H P E Z G ZP E Z G Z

WT

WT WK fWK f P I Z A Z ZP I Z A Z Z

the

the student works each exercise.student works each exercise.

skill

(3)

Table

_o

_of

_f

..

BASIC FACTSBASIC FACTS

a

..

Multiplication FactsMultiplication Facts b

b

..

Division FactsDivision Facts

cc

..

Review: Basic FactsReview: Basic Facts

...

d

..

Problem Solving: Mixed ApplicationsProblem Solving: Mixed Applications

e

..

Using Basic Facts: Finding MultiplesUsing Basic Facts: Finding Multiples ff..

2

..

PLACEPLACE VALUE VALUE ANDAND NUMERATIONNUMERATION

a

..

Place Value to Hundred ThousandsPlace Value to Hundred Thousands b

b

..

Place Value to Hundred MillionsPlace Value to Hundred Millions cc.. Place Value to Hundred BillionsPlace Value to Hundred Billions

...

..

Comparing and Ordering NumbersComparing and Ordering Numbers 2211

e

..

Rounding: NearestRounding: Nearest 10. 10. 100.100.oror ff.. Rounding: NearestRounding: Nearest

3

..

ADDITION AND SUBTRACTION OF WHOLE NUMBERSADDITION AND SUBTRACTION OF WHOLE NUMBERS

Basic Properties o

Basic Properties of f AdditionAddition Addition: Two Addends Addition: Two Addends

Addition: Three or More Addends Addition: Three or More Addends Subtraction Subtraction ... ...77--1 1 00 ... ...1111--1133 ... ...1144 15 15 ... ...1166

...

Using Basic Facts: Finding Factors

Using Basic Facts: Finding Factors 1177

... ...1188 ... ... ... ...2200 000 000 ...2222 10. 100. 10. 100.1.000.1.000.or 10.or 10.000000 2233 ... ...2424 ... ...2255 ... ...2266 ... ...2727

(4)

5

..

DIVISION OF WHOLDIVISION OF WHOLE NUMBERSE NUMBERS

a

a.. Mental MathMental Math: Using Divis: Using Division Factsion Facts b

b

..

Mental MathMental Math: Special Quotien: Special Quotientsts cc

..

d

d.. DividingDividingbbyyaa

e

e.. Zeros in the QuotientZeros in the Quotient

ff.. g

g

..

DividingDividingbyby

a

--Digit Divisor: Larger QuotientsDigit Divisor: Larger Quotients

h

..

Finding AveragesFinding Averages

ii.. RevieRevie

Division

by

aa --Digit DivisorDigit Divisor

Problem Solving: Mixed

Problem Solving: Mixed ApplicationsApplications

Dividing by

Dividing by Multiples ofMultiples of 1010

II.. _{Dividing by a 2}_{Dividing by a 2}_-_- _-

-m

m.. DividingDividingbbyy a 2a 2--Digit Digit Divisor: Divisor: Larger Larger

..

n

n RevieReview: w: All All Operations Operations with with Whole Whole

..

o

o Problem Problem Solving: Solving: OneOne-

-..

p

p ProblProblem Solving: Oem Solving: Onene-

-6

6

..

ENRICHMENTENRICHMENT

...

a

..

Roman NumeralsRoman Numerals 7676

b

b.. BaseBase 22 NumeralsNumerals 7777

...

Estimating Quotients: Compatible Numbers

...

5656--5757

--Digit DivisorDigit Divisor

...

5858--6060

...

6161 Problem Solving: Meaning o

Problem Solving: Meaning of f the Quotientthe Quotient

...

6262

...

....

6363

...

w: Addition, Subtraction, Multiplicatio

w: Addition, Subtraction, Multiplication,n,

...

6565 .. kk..

...

66 66

...

6767 Digit Divisor:

Digit Divisor: Digit QuotientsDigit Quotients

...

88--6969

...

Quotients Quotients 7070--7272

...

Numbers Numbers 7373

...

Step

Step Problems Problems 7474

...

Step and Multi

Step and Multi--Step Step Problems Problems 7575

...

(5)

ABOUT

The sel

The selectioection n oof topif topics forcs for M MIIDDDDLLEE SCHOOLSCHOOL MAT

MAT HH _{reflects recent thinking}_{reflects recent thinking}

about

about what is iwhat is important in an mportant in an updated updated middmiddlele school math program. Virtually every puzzle school math program. Virtually every puzzle cancan

be matched with a particular lesson

be matched with a particular lesson inin recentrecent editi

editions oons of popular textbooks. Af popular textbooks. Aftefter r stst ududenen tsts have rece

have receiveived instd instructiruction in a on in a topic and topic and workworkeded some sample exercises, y

some sample exercises, you might assign ou might assign aa puzzle along with a selection of textbook puzzle along with a selection of textbook exercises.

exercises.

Stu

Studenden ts in ts in the middlthe middle grade grades should begin toes should begin to classify m

classify many mathematics any mathematics problemsproblems andand

exercises into one o

exercises into one of thf three categories:ree categories:

1

1 .. MENTALMENTAL M MAATTHH.._{Problems for which}_{Problems for which an}_{an exact}_exact

answer ca

answer can be obtained mentally.n be obtained mentally.

2.

2.ESTIMATION.ESTIMATION. _{Problems for which}_{Problems for which an}_an

approxima

approximate answer, obtained mentally, iste answer, obtained mentally, is sufficient.

sufficient.

3.

3.TOOLS.TOOLS. _{Problems requiring}_{Problems requiring} _an_an_{exact answer}_{exact answer}

th

th at cannot be obtaiat cannot be obtained mentned mentallyally. Stude. Stude ntsnts will use paper and pencil and/or

will use paper and pencil and/or

THE

PUZZLES

problems in

problems in CategoriesCategories 11 andand 2,2, should be done mentally.

should be done mentally.

To solve problems in Category

To solve problems in Category 3,3,calculators arecalculators are wonderful tools for computing. Students may wonderful tools for computing. Students may also nee

also need paper d paper and and pencpencil to make diagrams,il to make diagrams, write equations, record results, etc., so they will write equations, record results, etc., so they will need both kinds of tools. On the other

need both kinds of tools. On the other hand,hand, students should not need calculators for students should not need calculators for problems

problems iinn CategoriesCategories probproblemlems ts t hathat call for mental math or estimation. Skills in call for mental math or estimation. Skills in these a

these arearea s are s are essential essential not only in daily not only in daily lilifefe but

but also foalso for thr the intee intelliglligent uent u se ose of f the calculatorthe calculator itself. The puzzles

itself. The puzzles inin thithis series reflect s series reflect thesethese three catego

three categories and ries and the the distinction betwedistinction betweenen them.

them.

Whe

When studen students nts do use calculatorsdo use calculators , you m, you mayay want to have them write

want to have them write downdown whateverwhatever numbers and operations they punch in and numbers and operations they punch in and theitheirr answers. This makes it

answers. This makes it easier easier to idento identiftify they the cause o

cause of any error anf any error an dd assistsassistsin classin class managemen

management. Even t. Even when studwhen stud enen ts do mentalts do mental math or estimation puzzles, have

math or estimation puzzles, have complete

complete list olist of ansf answerwerss and,and,where appropriate,where appropriate, the process used

the process used to geto get the answerst the answers . Encourage. Encourage

WrrH WrrH

calcu2ators calcu2ators

those those thatthat

and and 2,2,

them

(6)

What

Sound

DDoo

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_Porcupines

Mak

Make

e W

W h

h e

en

n

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Kiss?

I

I This multiplication table contains exactlyThis multiplication table contains exactly5454correct answers. Thecorrect answers. The

others are incorrect. Shade in

others are incorrect. Shade in each box that contains each box that contains a CORRECa CORRECTT answer. Be sure to use pencil so you can erase if necessary. answer. Be sure to use pencil so you can erase if necessary.

6 s 6 s i .L i .L Tj-0 Tj-0 El El ''_s._s._-

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-essage

essage

Each row contains

Each row contains twotwo correctcorrectandandtwo two incorrect statements.incorrect statements.

,

Circle the word above each correct statement. When you Circle the word above each correct statement. When you

finish, read the circled words and you will

(8)

X X X X X X I I II II X X X X X X x x n n n n n n m a r \ . m a r \ . 00 00 L - V L - V x . r x . r Q, Q, c l o c l o a,a, cn cn

(9)

Where do Martians leave their spaceships?

2.

2. Where do

Where do

go every

day

at noon?

T

TOO DECODEDECODETHETHE _ANSWERS_ANSWERSTO THESETO THESE QUESTIONS:QUESTIONS:

Find the answer to each exercise

Find the answer to each exerciseinin the code. Each time the answerthe code. Each time the answer appears, write the letter of that exercise above it.

appears, write the letter of that exercise above it.

Cheerios Cheerios

(10)

Jest the Facts: Jest the Facts:

Why

Was Was

Find the answer to each exercise in t

Find the answer to each exercise in t he appropriate set of answers andhe appropriate set of answers and notice the letter next to it.

notice the letter next to it. Write this letter in the box containing theWrite this letter in the box containing the number of the exercise.

number of the exercise.

Ms. Shoe made

Ms. Shoe made3636cookies andcookies and divided them

divided them equally among herequally among her

9

9kids. How many cookies didkids. How many cookies did each kid get?

each kid get?

Answers Answers₁₁

--

1 1 11:: A A

When divided into

When divided into44teams of equalteams of equal size, how many students are on size, how many students are on each team? each team? Answers Answers₁₂₁₂

--

22:22:

old. How many weeks until his old. How many weeks until his birthday? birthday? Answers Answers 2323

--

33:33: CJ CJ E rno9s

E rno9s

Report

Card

A l l

Wet?

l3 l3

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class

classhashas1313boys andboys and1515girls.girls. InIn4242days, Elmo will celebratedays, Elmo will celebrate his birthda

(11)

(12)

What

Can

YouYou

_Say

_About

_Flat

_Bicycle

Tires?Tires? Find the answer to each exercise in the set of answers under the exercise. Cross out Find the answer to each exercise in the set of answers under the exercise. Cross out the letter above each answ

the letter above each answer. When you finish, the answer to er. When you finish, the answer to the title qthe title question will remain!uestion will remain!

Osgood is having a party. He Osgood is having a party. He plans to send 20 invitations. plans to send 20 invitations.IfIf invitations are sold in packs of invitations are sold in packs of 5,

5,how many should he buy?how many should he buy?

Osgood decides he needs Osgood decides he needs2424

hot dogs and

hot dogs and 66bags of potatobags of potato chips for his party.

chips for his party.IfIf_{hot dogs}_{hot dogs} come in packs of 8, how come in packs of 8, how many packs should he buy? many packs should he buy?

Osgood decides to serve Osgood decides to serve soda in 12

soda in 12--_{ounce cans.}_{ounce cans.}HeHe

thinks he

thinks he will need 36 will need 36 canscans.. How many 6

How many 6--_{packs of soda}_{packs of soda}

should he buy? should he buy?

(13)

X X CY) CY)

(14)

=I-a

a

Perfume?

Solve each problem and find your answer in the rectangle below. Cross out the box that Solve each problem and find your answer in the rectangle below. Cross out the box that contai

contains your ansns your answer. When you finish, write the letterwer. When you finish, write the letters from the remaining boxes in thes from the remaining boxes in the spaces at the bottom of t

spaces at the bottom of the page.he page.

Larry bought 7 medium pizza

Larry bought 7 medium pizzas from Pizzas from Pizza

Heaven. Heaven.

a.

a. How many pieces did How many pieces did he get?he get? b. W

b. What was the total coshat was the total cost?t? Sherry bought

Sherry bought11

a.

a. How many pieces did she How many pieces did she get?get? b. W

b. What was the total coshat was the total cost?t? Perry bought

Perry bought 22small andsmall and33large pizzas.large pizzas. a.

a. How many pieces did hHow many pieces did he get?e get? b. Wha

b. What was the tott was the total cost?al cost? Mary bought

Mary bought 66 medium andmedium and88 large large pizzas.pizzas. a.

a. How many pieces did How many pieces did she get?she get? b. W

b. What was the total coshat was the total cost?t? Barry bought 9 small and

Barry bought 9 small and 44medium pizzas.medium pizzas.

a.

a. How many pieces did he How many pieces did he get?get? b. W

b. What was the tothat was the total cost?al cost? Kerry bought

Kerry bought66 small pizzas for small pizzas for a group ofa group of 88people.people.

Pizza

Pizza Heaven

Heaven

Size Size small small medium medium large large Number Number o

off PiecesPieces

4 4 6 6 8 8 Price Price $5 $5 $7 $7

hat

Do

Y o u

Call

small

(15)

Why

I

Is

s It

It

_Dangerous

to

Do

Math

the Jungle?

Mark each box containing a

Mark each box containing a number that doesnumber that doesnotnot_belong_belong_in_in _that_that

row.

row. Then write the letters from these boxes on the lines)Then write the letters from these boxes on the lines)at the right.at the right.

Multiples

0 0 55 15 18 20 25 30 35 3615 18 20 25 30 35 36

Multiples

of 2 of 2

0

22 4 4 55

₆

88 1010 1212 1414

Multiples

o off

₈

0 4 8 0 4 8 1616 2424 32 40 44 4832 40 44 48 5050

Multiples

of 3 of 3 0 0 33

₆

99 12 14 1512 14 15

Multiples

00 66 12 15 18 24 30 3612 15 18 24 30 36

40

4242 of5 of5

(16)

W

Wh

ha

at Hap

t Happe

pene

ned to the

d to the

SkunkSkunk

Who Couldn't

Who Couldn't Swim?

Swim?

For each exercise, shade in the facto

For each exercise, shade in the factors ors of the givf the given numen number. Then, in the Decoderber. Then, in the Decoder Key

Key, find the letter with the same patt, find the letter with the same pattern oern of shading. Write thif shading. Write this letters letterininthe boxthe box containing the number of the exercise.

containing the number of the exercise. factors of 28

factors of 28 22 _{factors of 18}_{factors of 18} 33 factors of 15factors of 15 factfactors oors of 42f 42 factors of 49factors of 49 66 _{factors of 24}_{factors of 24}

7

7 factors of 56factors of 56 88 _{factors of 30}_{factors of 30} 99 _{factors of 12}_{factors of 12} 1100 _facto_{factors o}_{rs of 81}_{f 81} ₁₁₁₁ _{factors of 72}_{factors of 72} 1122 _{factors of 63}_{factors of 63}

Decoder

(17)

When

_a

_ad

_dyy

N

N o

o tt

a

L

La

ad

dyy?

?

Do each exercise and find your answe

Do each exercise and find your answer in the r in the set of set of answeranswers to s to the right. Write the letter the right. Write the letter of theof the answer in the box containing the number of the exercise.

answer in the box containing the number of the exercise.

A

A blue whale could weigh more thanblue whale could weigh more than 294,350294,350

Give the

Give thedigit indigit ineach placeach place named.e named. tens' place

tens' place hundreds' placehundreds' place

thousands' place

thousands' place ten thousands' placeten thousands' place

In one year, an elephant might eat

In one year, an elephant might eat 102,845102,845 poundspounds of hay. Give the digit in eac

of hay. Give the digit in each h place named.place named. ones' place

ones' place ten thousands' placeten thousands' place hundreds' place

hundreds' place hundred thousands' placehundred thousands' place

The numbe

The number of sr of species of beetlpecies of beetles is more thanes is more than 216,750.216,750.

Give the digit i

Give the digit in each place named.n each place named. thousands' place

thousands' place hundred thousands' placehundred thousands' place tens' place

tens' place ten thousands' placeten thousands' place

Write Write

a

L

~ O I J ~ ~ S ~ O I J ~ ~ S 8 @ 2 8 @ 2 1 1 8 0 4 8 0 4 the number

(18)

Why Are Unbrushed

Why Are Unbrushed Teeth

Teeth Like

Like a

a Polaroid@

Polaroid@

Camera?

Do each exercis

Do each exercise and find your answer in the set of answers to the right. Write the letter of thee 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 th

answer in the box containing the number of the exercise.e exercise.

The area of the U

The area of the United States isnited States is3,618,4653,618,465 square miles.square miles. Give the digit in each place

Give the digit in each place 1

1 tens' placetens' place ten thousands' placeten thousands' place

The earth travels around the sun in

The earth travels around the sun in31,556,92631,556,926 seconds.seconds. Give the digit in each place named.

Give the digit in each place named. hundreds' place

hundreds' place hundred thousandhundred thousands' s' placeplace millions' place

millions' place ten millions' placeten millions' place

The speed of light is

The speed of light is 670,614,120670,614,120

Give the digit in each place named. Give the digit in each place named.

ones' place

ones' place thousands' placethousands' place ten millions' place

ten millions' place hundred millions' placehundred millions' place

Write the number in stand

Write the number in standard form.ard form. 12,034,05012,034,050

one million, two hundred thirty

one million, two hundred thirty_--four thousanfour thousand, five hundred, five hundredd 12,340,50012,340,500

nanied nanied

thousands' place

thousands' place millions' placemillions' place

miles

(19)

(20)

Why

DidDid

_{the Farmer's Daughter}

Watch the

Lazy

Cows?Cows?

For each exerci

For each exercise, circle the letter of tse, circle the letter of the correct choice. Writehe correct choice. Write this letter in the box containing the number of the exercise. this letter in the box containing the number of the exercise.

Write the correct number by each question.

II

II.. WriteWrite oror==in eachin each ==

14.

14. _{Which is the least}_{Which is the least number}_number?_? 15.

15. _{Which is thegreatest}_{Which is thegreatest numbe}_number?_r?

16.

16. _{Which is the least}_{Which is the least number}_number?_? 17.

17. _{Which is the greatest number?}_{Which is the greatest number?}

18.

18. _{Which is the least number?}_{Which is the least}_number? 19.

20.

20. _{Which is the}_{Which is the least number?}_{least number?} 21.

22.

22. _{Which is the least number}_{Which is the least}_number?_? 23.

23. _{Which is the}_{Which is the greatest number?}_{greatest number?}

10.

10. _{three million}_{three million} _H_H _T_T

24.

24. _{Which is the least number}_{Which is the least}_number?_? 25.

25. _{Which is the greatest number?}_{Which is the}_{greatest number?}

13. 13. _100,000,000_100,000,000 _L_L _R_R _N_N II II 3,000,000 3,000,000 110000millionmillion

(21)

(22)

(23)

Wig

From

The

Acme

S

So

o

For each exercise, write the missing number in the blank. Then select the property For each exercise, write the missing number in the blank. Then select the property illustrated. CIRCLE

illustrated. CIRCLE the letter the letter ininthetheappropriate column next to the sentence.appropriate column next to the sentence.

At the bottom of the page, find the box containing the number you wrote in the blank. At the bottom of the page, find the box containing the number you wrote in the blank. Write the letter you circled

Write the letter you circled inin this box.this box.

commutative

commutative associative associative identiidentityty property property property property property property

D

Do

o You

You

Get

Wig

(24)

Dentists

H a t e

It!

Do the exercises below and find your answers in the rectangle. Shade in eac

Do the exercises below and find your answers in the rectangle. Shade in each areah area containing a correct answer. Y

(25)

What

Do

Do You

You

Get

You

..

Cross a rabbit with a lawn sprinkler?

14,232

14,232 54,820 54,820 94,700 94,700 1,502 1,502 46,840 46,840 6,289 6,289 39,880 39,880 94,700 94,700 54,820 54,820 12,10512,105

2.

Cross a kitten with

a

a Xerox

Xerox

""

machine?

54,820

54,820 95,300 95,300 50,373 50,373 775 775 39,880 39,880 12,105 12,105 51,273 51,273 50,373 50,373 54,820 54,820 263,267263,267

Cross

Cross two

two

turkeys

turkeys with

with

a

coal

production

production company

company?

?

296

296 88,472 1,944 88,472 1,944 1,502 94,701,502 94,700 1,734 14,771 0 1,734 14,771 88,88,472 472 94,700 94,700 60,511 6,28960,511 6,289

TO

TO DECODEDECODE THETHE ANSWERSANSWERSTOTO THESE THREE QUESTIONS:THESE THREE QUESTIONS: Do each exercise belo

Do each exercise below and fw and find your answer in the code. ind your answer in the code. Each time theEach time the answer appe

answer appears, write the lettars, write the letterer ofof the exercise above it.the exercise above it.

hen

(26)

a a,, 0 0 5 5 0 0 0 0

(27)

Did

Hear

About

Do each exercise and find you

Do each exercise and find your answer in thr answer in the appropriate answer column. Notice thee appropriate answer column. Notice the word under the ans

word under the answerwer. Write this word in th. Write this word in the box containing the letter of the e box containing the letter of the exercise.exercise.

Answers A Answers A

--

II:: 35,155 35,155 GO GO 8,634 8,634 NEW NEW 37,655 37,655 RUN RUN 599 599 SYSTEM SYSTEM Answers Answers JJ

--

RR:: 3,435 3,435 ON ON $728.75 $728.75 WHEN WHEN 70,290 70,290 GROUND GROUND $2,175 $2,175 TRACKS TRACKS

(28)

When

You

Phone

aa

Bee?

II

Do each exercise and fin

Do each exercise and find your answer in the rectd your answer in the rectangle beloangle below. Cross out the box thatw. Cross out the box that _!! contains your

contains your answer. When youanswer. When you remainiremaining boxes inng boxes in

II

the spaces at the bottom of

the spaces at the bottom of the page.the page. IIII

II

Matt ordered a Galaxy Burger and a Milky Way Shake. Matt ordered a Galaxy Burger and a Milky Way Shake. Karen ordered a Moon Burger and

Karen ordered a Moon Burger and a large Space a large Space Drink.Drink.

How ma

How many calories were in Many calories were in Matt's meal?tt's meal?

Galaxy

Galaxy BurgersBurgers

Calorie Calorie ChartChart item

item caloriescalories

Galaxy Burger

Galaxy Burger 725725

what

D

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o

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Get

f i ~ i s h

f i ~ i s hwrite the letters from the write the letters from the

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(29)

Why

Many

Barbers

Join

the

Army?

Estimate each sum or difference. Circle the letter of the better choice. Write this Estimate each sum or difference. Circle the letter of the better choice. Write this letter in the box containing the number of the exercise.

letter in the box containing the number of the exercise.

about 100

about 100 about 90about 90 about 50about 50

ab

abouout t ii 22 0 0 ababout out 120120 about 30about 30

about 260 about 260 about 300 about 300 about 71 about 7100 about 740 about 740 about 700 about 700 about 900 about 900 about 400 about 400 about 600 about 600 about 1,500

about 1,500 about 4,400about 4,400

about 1,200

about 1,200 about 4,800about 4,800

about 1,000

about 1,000 about 13,000about 13,000 about 3,000about 3,000

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(30)

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letter of the answer in each box containing the numbaining the number of the problem.er of the problem. Kent weighs 139 pounds and his bicycle weighs 31 poun

Kent weighs 139 pounds and his bicycle weighs 31 pounds. Jillds. Jill

weighs 106 pounds and her bi

weighs 106 pounds and her bicycle weighs 28 pounds. Howcycle weighs 28 pounds. How

much greater is the combined weight o

much greater is the combined weight of Kent anf Kent and his bicycled his bicycle

than the combined weight o

than the combined weight of Jilf Jilll

96, and 145. Andy's scores were

96, and 145. Andy's scores were and 88. How muchand 88. How much

greater was Janet's greater was Janet's total score?

total score?

of of 165,29

165,290, 0, and 259 poand 259 pounds. Stan had lifunds. Stan had lifts of 21 ts of 21 6,3446,344, , and 243and 243 pounds. How much greater was the combined total of

pounds. How much greater was the combined total of Stan'sStan's

three lifts than the total of

three lifts than the total of Paul's three lifts?Paul's three lifts? In his first year on th

In his first year on the basketbale basketball l team, Tim scored team, Tim scored 196 points. In196 points. In his second year he scored 85 more points than the first year. In his second year he scored 85 more points than the first year. In his thir

his third year he scored 33 fewer poid year he scored 33 fewer points than the second year.nts than the second year. How many points did Ti

How many points did Tim score in thm score in the third year?e third year?

find how many points he scored the second

find how many points he scored the second year.)year.)

miles miles S 248 S 248 59 pounds 59 pounds and

andher bicycle?her bicycle?

Janet and Andy bowled three games. Janet's scores were

Janet and Andy bowled three games. Janet's scores were11119,9,

127 74 127 74 total

total score for the thscore for the three games than Andy'sree games than Andy's

In

Inthe three events of the three events of a weiga weightlifthtlifting ing competition, Paul had lifts competition, Paul had lifts

HINP HINPFirstFirst

45 45

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(31)

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illustrated. CIRCLE the letter in the appropriate column nthe appropriate column next to ext to the sentence.the sentence.

At

At the bottom of the page, find the box containing the number you wrote in the blank.the bottom of the page, find the box containing the number you wrote in the blank. Write the letter you circled in

Write the letter you circled in this box.this box.

comm

commutatiutative ve associative associative identityidentity

property property property property property property property property

zero zero

(32)

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title. Each time the answer appears, write the letter of the exercise above it.exercise above it.

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th

T IS

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properfy properfy

(33)

Why

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Follow the directions ns given for each section. Write the letter of each exercisgiven for each section. Write the letter of each exercise ine in the box con

the box containing its answer.taining its answer. I.

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(34)

(35)

(36)

Mysteries

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off

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Do each exercise below and find your answer in the code above that set of exercises. Do each exercise below and find your answer in the code above that set of exercises. Each time the answer appears, write the letter of the exercise above it. You'll love it! Each time the answer appears, write the letter of the exercise above it. You'll love it!

What did the boy candle

say to the girl candle?

There are 12 inches in a foot and 3 feet

There are 12 inches in a foot and 3 feetininaayard. Howyard. How many inches are in

many inches are in88yards?yards?

What did the boy rabbit

say to the girl rabbit?

There are 16 ounces in a pint, 2 pints in

There are 16 ounces in a pint, 2 pints in a quart, anda quart, and44

quarts in

(37)

Do each exercise in the top block and find your answer in the bottom block. Transfer the word Do each exercise in the top block and find your answer in the bottom block. Transfer the word fromfrom the top box to the corresponding bottom

the top box to the corresponding bottom box.box.Keep working and you will get some helpful information.Keep working and you will get some helpful information.

(9

(38)

What

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is

s

the

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o

of

f Th

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ture?

?

Do each exercise below and find your answer in the

Do each exercise below and find your answer in the coded title. coded title. EachEach time the answer appears

time the answer appears, wri, write the letter of te the letter of the exercise above it.the exercise above it.

C O D E D

C O D E D T I T L E :T I T L E :

The bell in a college tower rings The bell in a college tower rings 590 lines per minute, how many

590 lines per minute, how many 156 156 times times every every dayday. . How How many many lines

lines can can the the printer printer print print in in 5 5 times times does does the the bell bell ring ring in in a a At At this this rate, rate, how how many many wordswords

9, 9,

minutes?

minutes? week? week? Pat Pat type type in in half half hour?hour?

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(39)

What

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letter above each correct ans

letter above each correct answerwer. . When you finish, the answer to the titWhen you finish, the answer to the title questionle question will

(40)

DAFF

1.

1. Prizewinning dog:

Prizewinning dog:

36,028 36,028 35,178 35,178 12,336 12,336 444,716 4,716 15,720 15,720 3,563,564 4 11,820 11,820 59,51259,512

2.

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3 3.. Pick for mountain climbers:

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TO DECODE THESE THREE DAFFYNITIONS: TO DECODE THESE THREE DAFFYNITIONS: Do each exercise below and find

Do each exercise below and find your answeryour answer inin the code. Each time the answerthe code. Each time the answer appears, write the letter of the e

appears, write the letter of the exercise above it.xercise above it.

T ON

DECODER

Mudpie:

(41)

Did

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Do each exercise and find your answer in the appropriate answer column. Notice thepriate answer column. Notice the word under the answer. Writ

word under the answer. Write this word in the box cone this word in the box containing the letter taining the letter of the exercise.of the exercise.

238,190 238,190 SOME SOME 1 127,68827,688 WHEN WHEN 34,008 34,008 ACTOR ACTOR 62,262 62,262 DOWN DOWN 2,749 2,749 5,6685,668 9,0739,073 Answers

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(42)

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Do each exercise and find your answer to the right. Write the letter of the answer inof the answer in the box

the box containing the number of the containing the number of the exercisexercise.e.IfIf the answer has athe answer has a ,,shade in theshade in the

box instea

(43)

Animal

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Each time the answer appears, write the letter of the exercise above it.

4,816

4,816 4,526 4,292 4,526 4,292 4,816 5,913 4,816 5,913 1,624 1,624 3,283 3,283 4,292 4,292 972 972 4,082 4,048 4,082 4,048 6,110 1,343 6,110 1,343 5,913 5,913 4,8164,816

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(44)

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(45)

BOOKS

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NEVER WRITTEN

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by

8,350

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by

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ABOVE ARE THE TITLES

ABOVE ARE THE TITLES OFOFTWO "BOOKS NEVTWO "BOOKS NEVER WRER WRITTEN.ITTEN.""TOTO DECODEDECODETHETHE NAMES

NAMESOFOFTHEIR AUTHORS:THEIR AUTHORS:

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Do each exercise and find your answer in the code. Each time the answer appears,answer appears, write the letter of the exercis

(46)

Hidden

Message

Do each exercise and find your answers in t

Do each exercise and find your answers in the rectangle below. The correct answers runhe rectangle below. The correct answers run

0

0 across from left tacross from left to right. o right. Shade in the boxes containing each correct answer.Shade in the boxes containing each correct answer.

When you

When you finish, there wfinish, there will be 28 boxes not shaded. Write the letters from these 28 boxes inill be 28 boxes not shaded. Write the letters from these 28 boxes in the spaces at th

the spaces at the bottom of the page.e bottom of the page. AAhidden message will appear!hidden message will appear!

I I 7,354 7,354 9,0079,007 D D _x_x ₆₉₆₉ _x_x ₅₃₅₃

The Parliament Building in

The Parliament Building in VictorVictoria,ia, AAmotionmotion speed takes

speed takes 2424 pictures per pictures per second.second.

3,270

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bulb, how much electric power is that isthat is 9090 minutes long?minutes long? (1(1 minmin==6060

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sec) sec)

(47)

How

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Do each exercise below. Find your answer i. Find your answer in the answer column ann the answer column and notice the letterd notice the letter next to it. Look for this letter in the str

next to it. Look for this letter in the string oing of letters near thf letters near the bottom of the page ande bottom of the page and CROSS IT OUT each time i

CROSS IT OUT each time it appears. Whent appears. When youyou finishfinish, , write the write the remaining lremaining letters inetters in the rect

the rectangle aangle at the bottot the bottom of the page.m of the page.

Clocks

(48)

How

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Write using an exponent.

7 733

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(49)

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Decide whether you would choose mental math, estimation, or a tochoose mental math, estimation, or a tool (paper andol (paper and pencil or calculator) to solve each problem. CIRCLE the letter in th

pencil or calculator) to solve each problem. CIRCLE the letter in the appropriatee appropriate column next to the problem.

column next to the problem.

Then solve the problem. Find the answer at the bottom of the page an

Then solve the problem. Find the answer at the bottom of the page and write thed write the letter you circled under it.

letter you circled under it.

Choose:

Choose: mental math,mental math, estimation, orestimation, or tooltool Prime Jr

Prime Jr. Hi. High hasgh has

how many desks are in the school altogether? how many desks are in the school altogether?

The school bought 40 new electronic typewriters for its

The school bought 40 new electronic typewriters for its typing classes. Iftyping classes. If each typewriter cost $50

each typewriter cost $500, what was the tot0, what was the total cost oal cost of f the typewriters?the typewriters? Prime J

Prime Jr. High buys pencils to sell at r. High buys pencils to sell at the school store. Thethe school store. Therere pencils in a box, and

pencils in a box, and are in

are in33_cartons?_cartons?

L E S

The PT

The PTA at PrA at Prime Jr. High sponsored a book ime Jr. High sponsored a book sale. A boosale. A book companyk company brought 2,837 paperback books and 694 hardcover books to sell. brought 2,837 paperback books and 694 hardcover books to sell.

41

41 classrooms. Each classroom has 38 desks. Aboutclassrooms. Each classroom has 38 desks. About there

there are 24 boxes in a carton. Howare 24 boxes in a carton. How

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(50)

CHAIN

CODE

These are called CHAIN EXERCISES. Do the steps in order from left to right for each These are called CHAIN EXERCISES. Do the steps in order from left to right for each exercise. Find your answer

exercise. Find your answer

answer appears, print the letter from the end of that exercise above it. (HINT Look for answer appears, print the letter from the end of that exercise above it. (HINT Look for steps you c

steps you can do mentally.an do mentally.))

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(51)

CRYPTIC

_QUIZ

1.

Wha

What hap

t happened when Tarza

pened when Tarzan called the King of

n called the King of the

the Jungle?

Jungle?

7

7 3 3 17 17 16 16 6 6 1133 11 5 5 14 14 12 12 9 9 14 14 22

2.

2. Whom

Whom did Smedley Jolt as

did Smedley Jolt ask

k

to

help

him

him cook hamburgers?

cook hamburgers?

Do each exercise bel

Do each exercise below. Find your answer in the appropriate answer coluow. Find your answer in the appropriate answer column andmn and notice the letter next to it.

notice the letter next to it. Each time the exercise number appearEach time the exercise number appears s in the code,in the code, write this

write this letter above it.letter above it.

Answers Answers11

_-

88 82,905 82,905 164,400 164,400 65,408 65,408 1,650 1,650 Answers Answers99

_-

1 1 77 27,511 27,511 332,958 332,958 9,630 9,630 339,416 339,416

(52)

Any

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Do?

Do each exercise and find your answer in the rectangle below. Cross out the box that Do each exercise and find your answer in the rectangle below. Cross out the box that contains your answer. When you finish, write the letters from the remaining boxes in contains your answer. When you finish, write the letters from the remaining boxes in the spaces at the bottom of the page.

the spaces at the bottom of the page. The Unite

The United States has about 1,800 daily ned States has about 1,800 daily newspapers, 8,wspapers, 8,400 400 weekly newspapers, and 550weekly newspapers, and 550 semiweekly newspapers. How many is that altogether?

semiweekly newspapers. How many is that altogether? The

The had 14 sections with had 14 sections with an average of 16 pages an average of 16 pages per per section. How masection. How manyny pages were in the entire newspaper?

pages were in the entire newspaper? The chart at the right shows the circula

The chart at the right shows the circulation of thetion of theDaily PlanetDaily Planet

in a recent

in a recent week.week. A

A. . How mHow many copies any copies were sold were sold on the weekend on the weekend (Satu(Saturdayrday and Sunday)?

and Sunday)?

B.

B. How many more copies were sold on Sunday than onHow many more copies were sold on Sunday than on the day with the second highest circulation?

the day with the second highest circulation?

C

C.. Round each figure to the nearest 1,000Round each figure to the nearest 1,000. . Then add toThen add to estimate the total circulation for the week.

estimate the total circulation for the week.

Daily

Planet

circulation circulation 8,841 8,841 Tuesday 7,430 Tuesday 7,430 Wednesday 8,229 Wednesday 8,229 Thursday 9,968 Thursday 9,968 Friday 9,075 Friday 9,075 Saturday 9,913 Saturday 9,913 Sunday 14,507 Sunday 14,507

An offset press can print about 270 sheets of paper per minute. Each

An offset press can print about 270 sheets of paper per minute. Each sheet is cut to maksheet is cut to makee

8 newspaper page

8 newspaper pages. How many newspaper pags. How many newspaper pages can be es can be printed in printed in one hour?one hour? A subscription to the

A subscription to theDaily PlanetDaily Planetcosts $1costs $199_{per month for}_{per month for delive}_{delivery every da}_{ry every day, or $1}_{y, or $15 per}_{5 per}

month for delivery e

month for delivery every day excepvery day except Sundt Sunday. Howay. How receive thereceive the

newspaper every day for

newspaper every day foraa year?year?

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(53)

Why

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Mama Flea

Flea Look

Look

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Sad?

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Do each exercise mentally and find your answer in the corresponding set d your answer in the corresponding set of answerof answer boxes. Write the letter of

(54)

(55)

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Choose the best replacement for the dividend so that a basic fact can be used to lacement for the dividend so that a basic fact can be used to estimate theestimate the quotient. Then write the estimate. Write the letter of your replacement in the box above the quotient. Then write the estimate. Write the letter of your replacement in the box above the estimate at the bottom of the

(56)

1.

1. Round the Round the divisor to its greatest divisor to its greatest place.place.

2.

2. Change the dividend to a number easy to diviChange the dividend to a number easy to divi de by the rounded divisor.de by the rounded divisor. 3.

3. Divide to estimate Divide to estimate the quotient.the quotient.

What Can

What Can We

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Use the procedure above to rewrite each exercise and estimate the quotient. Find your estimate at t Use the procedure above to rewrite each exercise and estimate the quotient. Find your estimate at t hehe bottom of the page. Write the letter of the exerc

bottom of the page. Write the letter of the exerc ise above it. (The firsise above it. (The first exercise has been done fort exercise has been done foryou.)you.)

It

It is 31 is 31 8 miles from 8 miles from Los Angeles toLos Angeles to Kathy earnsKathy earns per year as aper year as a While running for office, Trix SmileWhile running for office, Trix Smile shook 52,270 hands and kissed shook 52,270 hands and kissed average speed of 41 mi

average speed of 41 miles per hour,les per hour, ==5252 3,509 babies.3,509 babies.IfIfhis campaign lastedhis campaign lasted

about how many hours does it take

about how many hours does it take weeks) weeks) 88 88 days, days, estimate estimate the the averageaverage to drive this distance?

to drive this distance? number of babies kissed each day.number of babies kissed each day.

26,190 26,190

Yosemite National Park. At an

Yosemite National Park. At an designer. About how much doesdesigner. About how much does

~ a t h y

(57)

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Do each exercise and find your answer in the appropriate answer column. Write thethe appropriate answer column. Write the letter

letterofof_{the exercise in the box}_{the exercise in the box containi}_{containing the numb}_{ng the number of the}_{er of the answ}_answer._er. ANSWERS ANSWERS left side left side ANSWERS ANSWERS right side right side Does Does

(58)

I

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in the box containing the number of the exercise. IfIfthe answer hasthe answer hasaa ,,shade in the boxshade in the box

instead of writing a letter in it. instead of writing a letter in it.

36 R2

36 R2 4949 the

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how much does each get?

him

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a performance.performance.IfIf

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(59)

(60)

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Dishes are packed

Dishes are packed88 Each kitEach kite requires 2e requires 2 per box. How many

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for 400 400 dishes? dishes? 750 750 kites?kites?

Answers 10 Answers 10_-_-118:8: 1 9: 1 9: 107 107 805 805R2R2 930 930 90 90R1R1 102 R2 102 R2

mFYNITION

DECODER

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(61)

M a t h

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Use the quotients in the box above to answer the following questions: Use the quotients in the box above to answer the following questions:

11

22

Scott has 100 stamps to put in an Scott has 100 stamps to put in an

A.

A. How many pages will be completely filled?How many pages will be completely filled?

B

B.. How many stamps How many stamps will be left will be left for an unfilled page?for an unfilled page?

C.

C. How many pages will be used altogether?How many pages will be used altogether? A group of 20

A group of 20 friends are going camfriends are going camping. They will sleep in tents that each ping. They will sleep in tents that each hold 3hold 3 people.

people.

A.

A. How many tents will be full?How many tents will be full?

B

B.. How many people will be left for a tent that is not full?How many people will be left for a tent that is not full?

C.

C. How many tents will be neededHow many tents will be needed

The 739 students and teachers at Merry Middle School are going on a field trip. The 739 students and teachers at Merry Middle School are going on a field trip. Each bus holds 50 passengers.

Each bus holds 50 passengers.

A.

A. How many buses will be full?How many buses will be full?

a l b ~ ~ m .

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a,ltogether? a,ltogether?

(62)

Maze

Maze Phrase

Phrase

Do each exercise and fi

Do each exercise and find your answers in tnd your answers in the maze. SHADE IN each room thathe maze. SHADE IN each room that contains a correct

contains a correct answer.answer.

Then find a path t

Then find a path to the Treasure that goeo the Treasure that goes only through rooms you have NOT shadeds only through rooms you have NOT shaded in. The words in thos

in. The words in those rooms will form an ae rooms will form an a_--mazing message!mazing message!

2,854 7 2,854 7 16,298 16,298 55 22,540 822,540 8 27,962 427,962 4 45,747 45,747 99 42,76542,765 77 28,560 28,560 87,1371887,13718

A school district received

A school district received a grant ofa grant of The Schmaltz BanThe Schmaltz Band bought an amplified bought an amplifierr $6,84

$6,840. 0. The money was divided equallyThe money was divided equally forfor $1,260$1,260 andand twotwospeakers atspeakers at $375$375

among the

among the 77 elementary schools andelementary schools and 22 each.each._{If the 5 members of the band}_{If the 5 members of the band}

high schools in the district. How much

high schools in the district. How much divide the divide the total costotal cost equally, hot equally, how muchw much

did each school receive?

did each school receive? will each pay?will each pay?

38,481 38,481

TREASURE

6,9906,990 DOUGH LEAKS DOUGH LEAKS 4,430 6 4,430 6 8,869 38,869 3 76,992 76,992 6 6 _{5,217 3}_{5,217 3} R2 R2 8,405 8,405 R2R2 $752 $752 6,1096,109 R2R2 $690 $690 10,87410,874

Mathmetics-11

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