ISAS

Grade 6 Students

Math Summer Work

What Do You Call a Lamb Covered with

Chocolate?

Use the "guess and check" method to solve these problems:

(1) Guess an answer that meets one of the conditions.

(2) Check your guess to see if it meets the other condition. Find each correct answer and cross out the letter next to it. When you finish,

the answer to the title question will remain.

1. Sum of 2 numbers is 15

Difference of the numbers is 3

Find the numbers

What is their product

2. Sum of 2 numbers is 16 Difference of the numbers is 6

Find the numbers

What is their product

3. Sum of 2 numbers is 13 Difference of the numbers is 1

Find the numbers

What is their product

4. Sum of 2 numbers is 11 product of the numbers is 24

Find the numbers

What is their difference

5. Sum of 2 numbers is 14 product of the numbers is 40

Find the numbers

What is their difference

6. Sum of 2 numbers is 15 product of the numbers is 36

Find the numbers

What is their difference

7. The vampires played 20 games The team won 4 more games than

they lost. How many games did

they win?

8. Zarina said “the sum of my age and my father’s age is 50. The

product of our ages is 400. How

old is Zarina

9. Ernie has twice as many stickers as Bert. Together they have 90 stickers. How many stickers does

Ernie have?

10. Tommy said, "My mommy is 4 times as old as I am. The sum of

our ages is 40." How old is Tommy's mommy?

11. Henry's sister is 3 years younger than Henry. The product of their

ages is 180. How old is Henry?

12. Dad is twice as old as Junior. The Gramps is twice as old as Dad.

The sum of the three ages is 140.

How old is Gramps?

13. The Cyclone Coaster has 16 cars. Some of them hold 2 passengers

and some hold 3 passengers. If there is room for 36 people

altogether, how many cars hold 3 passengers?

14. A math teacher drove past a farmyard full of chickens and

cows. The teacher noticed that

there were a total of 30 heads and

100 legs. How many pigs were

there?

T L A C H O A M E N C D A Y B U S A E T R A N 7 32 64 17 20 55 92 6 12 13 10 75 80 2 28 15 5 34 54 60 4 11 3

Test of genius

1. How many squares can you count in

this figure

2. Three stamps can be attached to

each other in various ways. One way

is shown here. In how many other

ways might three stamps be

attached?

3. A math teacher drove by a

playground that was full of boys and

dogs. The teacher happened to

notice that there was a total of 40

heads and 100 feet. How many

boys and how many dogs were

there?

4. What day followed the day before

yesterday if two days from now will

be Sunday?

5. What should go in the empty

square?

6. Place the digits 1 through 9 in the

empty boxes so that the 3 rows

and the 3 columns form correct

arithmetic sentences. All

calculations are performed in

order.

7. How can you make change for

$1.OO using exactly fifty coins?

8. Replace A, B, and C with numbers

so that:

9. How can a baseball team win a

game without a single man

crossing home plate?

Why Did The Horse Eat With Its

Mouth Open?

Write the prime factorization for each number. Find your

answer in the adjacent answer box. Write each letter in each

box containing the number of the exercise.

9 12 2 11 5 1 11 5 7 12 11 1 8 3 6 11 10 10 3 4 7

Why Did Igor Spend 10 Years Studying

Geology?

Find the least common multiple (LCM) for each pair of

numbers. Look for your answer in the set of boxes

under the exercise. Write the letter of the exercise in

the box containing the answer.

(T) LCM of 3 and 5 (B) LCM of 7 and 21

(E) LCM of 4 and 6 (W) LCM of 10 and 70

(A) LCM of 2 and 9 (D) LCM of 5 and 2

(O) LCM of 10 and 4 (E) LCM of 15 and 9

(H) LCM of 9 and 12 (T) LCM of 11 and 8

(E) LCM of 6 and 5 (N) LCM of 12 and 20

36 45 72 70 18 60 15 30 10 180 88 20 90 21 12

(S) LCM of 8 and 6 (B) LCM of 10 and 6

(A) LCM of 15 and 25 (R) LCM of 7 and 8

(O) LCM of 4 and 8 (G) LCM of 25 and 10

(I) LCM of 6 and 9 (C) LCM of 45 and 15

(K) LCM of 8 and 10 (R) LCM of 30 and 40

(A) LCM of 9 and 4 (T) LCM of 24 and 9

75 180 30 18 50 48 120 8 45 40 150 24 72 36 56

HOW CAN YOU TELL IF A SHARK

LIKES YOU?

Find the greatest common factor (GCF) for each pair of

numbers. Write the letter to the answer in the box containing

the exercise number. If the answer has a , shade in the

box instead of writing a letter in it.

1. GCF of 14 and 21

2. GCF of 10 and 12

3. GCF of 15 and 25

4. GCF of 6 and 15

5. GCF of 36 and 27

6. GCF of 22 and 33

7. GCF of 60 and 20

8. GCF of 12 and 9

9. GCF of 24 and 16

10. GCF of 45 and 20

11. GCF of 12 and 42

12. GCF of 30 and 50

13. GCF of 36 and 12

14. GCF of 100 and 250

15. GCF of 24 and 30

16. GCF of 8 and 15

17. GCF of 28 and 12

18. GCF of 18 and 40

19. GCF of 64 and 16

20. GCF of 30 and 75

21. GCF of 180 and 54

9 15 5 14 12 19 7 1 16 3 17 8 6 20 2 13 10 21 4 18 11

What Is the Easiest Way to Make More

Money?

Do each exercise mentally, write your answer, and then find it in

the corresponding set of answers. Write the letter of the exercise

in the box above the answer.

How Would You Describe Wanda Farr After

She Met 3 Lions Deep in the Jungle?

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

area containing a correct answer. You will discover what happened to Wanda!

16. A package of M&M’s candies

contains 5 colors and weighs 1.68

oz. if each candy weighs 0.03 oz,

how many pieces are in the

package?

17. A machine uses 2.5 liters of fuel

each hour it runs. Its fuel tank was

filled with 10 L, but 1.5 has already

been used. How many more hours

will the machine run?

Where Do Generals Keep their Armies?

Solve each problem below and find your solution in the answer column. Write the letter of the answer in each box containing the number of the problem.

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

1. Daphne bought 3 paintbrushes at $4.25 each, an easel for

$30.00, and 8 tubes of paint at $2.95 each. How much

money did she spend altogether?

2. Roberto needs 10 kilograms of clay for a ceramics project.

He already has three pieces that weigh 1.3 kg, 2.4 kg, and

0.9 kg. How much more clay does he need?

3. Sing Lu jogs around a park near her house 3 times a week.

The distance around the park is 0.8 mile. How many laps

around the park are necessary to run 6 miles?

4. Karen's hobby is chemistry. For one experiment she used 3

liters of water and 3 empty beakers. She poured 0.7 L into

the first beaker and twice that amount into the second. How

much water was left for the third beaker?

5. Mia makes decorative candies by pouring melted chocolate

into molds. Each mold holds 0.4 oz of chocolate. Mia bought

a 20-ounce bag of chocolate but has already used 10.4 oz.

How many candies can she make with the chocolate she has

left?

6. Luis bought two pieces of wax to make candles. One piece

weighed 3.49 kg, and the other weighed 4.71 kg. If wax

costs $1.80 per kg, how much did Luis spend altogether?

7. Keo's model airplane uses 0.03 L of fuel each minute it flies.

If the fuel tank holds 0.5 L, how long can the plane fly

without refueling? (Round to the nearest 0.1 minute.)

8. A scale model of a train has an engine that is 17.2 cm long

and 10 cars that are each 13.5 cm long. Each centimeter on

the model represents 0.8 m on the actual train. How long is

the actual train?

9. Roger made a leather belt in crafts class. He attached a

buckle at one end and punched 5 equally spaced holes at

the other. If the distance between the first hole and last hole

is 10 cm, how far apart are the holes?

Why Is Tuesday the Favorite Day of Math

Teachers?

For each exercise, write the missing number. Find your answer in the set of

boxes under the 1 exercise. Write the letter of the exercise in the box containing

the answer.

Why Did the Math Book Go On a Diet? Estimate each product using a compatible number. 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 exercise.

21.

22.

1 Mortimer has read about

6 pages he has read.

of a 298-page novel. Estimate the number of

1

The clothes at Trendy Togs are on sale at off the regular price. About how 4

much would you save on a suit with a regular price of $1 19.50?

Why Doesn't Orgo Eat Cabbage, Corn,

Chicken, Clams, Cake, or Celery? Write the letter of each correct answer in the box containing the number of the

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

1. Write each mixed number as an improper fraction.

Answers 1 to 10:

2. Multiply.

Answers 11 to 21:

6 2 12 14 8 11 18 1 5 9 20 10 15 7 16 21 4 19 13 3 17

Abracadabra, It's Magic

1. What magic trick does Mr. Utterbunk perform every evening?

2. What did the magician say to the fisherman?

To decode the answers to the MAGICAL mysteries: Do each exercise below and

find your answer in the code. Each time the answer appears, write the letter of

the exercise above it.

G There are 3 boys and 2 girls in the

Krunch family. Mr. Krunch bought

C It takes 1 cup of liquid fertilizer to 1

1 3 pounds of candy to divide equally

make 7 2

gallons of spray. How much

2 among them. How much candy did

each child get?

liquid fertilizer is needed to make 80

gallons of spray?

Why Did the Bank Robber Run

Home and Jump in the Shower?

Write an integer for each situation. Find the point on the number line that

corresponds to the integer. Write the letter of the exercise above the number

line at that point.

(H) 3 units to the left of 0 (H) a loss of $14 (D) score 10 points

(A) the opposite of 13 (S) 11 fewer members (H) 8 steps forward

(D) 2 units to the right of

0

(I) 2 km below the

surface

(E) the opposite of 7

(E) the opposite of -11 (E) 15 s before blastoff (O) the opposite of -1 3

(H) 8' below zero (T) a withdrawal of $9 (H) not positive or

negative

(S) a gain of 6 lb (W) up 4 flights

(T) a deposit of $15 (H) put in 14 gal

(R) 6 ft below sea level (U) 5 years ago

(I) a gain of 9 yd (E) a debt of $l2

(A) 1 point higher (T) an increase of 5 miles per hour

Why Shouldn't You Let a Doctor Put

One of Those Sticks in Your Mouth?

Circle the appropriate number-letter next to each exercise. Write the letter in

the matching numbered box at the bottom of the page.

I. For each exercise, write > or < in the .

II. For each exercise, decide whether the integers are in order from the least

to the greatest.

III. For each exercise, decide whether the integers are in order from the

greatest to the least.

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

18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34

Why Is a Mother Kangaroo Unhappy When

It Rains?

Each ordered pair at the bottom of the page represents a point on the

coordinates below. Above each ordered pair, write the letter that appears at

that point.

Answers:

Answers:

Why Did the Writer Enjoy Living in a

Basement?

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

answer in the box containing the number of the exercise. If the answer has a

black circle next to it, shade in the box instead of writing a letter in it.

I. Write each ratio as a fraction in simplest form.

1) 7 to 12 2) 9:4

3) 8 to 10 4) 20 to 12

5) 25:50 6) 6 out of 15

7) 80 to 60 8) 35 out of 100

9) 78 out of 780 10) 90:30

11) The ratio of wins to tosses for a team with-60 wins and 90 losses.

12) The ratio of girls to boys in a 7th grade class

with 300 girls and 250 boys.

13) The ratio of red to blue for a purple paint made

by mixing 24 oz of red with 28 oz of blue.

14) The ratio of blue to red for a purple paint made

by mixing 24 oz of red with 28 oz of blue.

II. Write the ratio of the two measurements in the unit indicated (a unit

rate).

15) A car traveled 300 miles on 15 gallons of gas.

(miles per gallon)

16) Ima Smurf typed 120 words in 3 minutes. (words

per minute) 17) Dr. Cranium traveled 2,800 miles in 5 hours:

(miles per hour)

18) A gear revolved 960 times in 30

minutes.(revolutions per minute)

19) Gloria Trench earned $144 in 8 hours.(dollars per

hour)

20) Roger Bannister ran 5,280 feet in 4 minutes.(feet

per second)

13 3 7 16 9 5 15 1 4 17 11 9 8 12 18 2 20 10 14 6

Cryptic Quiz

1. What should the JOLLY GREEN GIANT receive?

2. Why did it take the GOAT more than 3 hours to finish a 20-page book?

Solve each proportion and find your answer in the code. Each time the answer

appears, write the letter of the exercise above it.

What Did Snidely Say After Filling His

Car With Super Premium, TopTest,

Power Plus Gasoline?

Solve each problem 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 the spaces at the bottom of the

page.

1. The Jelly Junior High school color

is made by mixing red paint with

yellow paint. The ratio of red to

yellow is 3 to 5. How much red paint

should be mixed with 20 oz of

yellow?

3. The Lawn Order lawnmower factory

can produce 12 lawnmowers in 8

hours. How many hours will it take

the factory to produce 30

lawnmowers?

5. An object that weighs 10 lb on Earth

would weigh only 4 lb on Mars. If

you weigh 95 lb on Earth, how

much would you weigh on Mars?

7. The ratio of orange juice to pineapple

juice in Tropical Treat punch is 4

to 3. Bill has 64 oz of orange juice.

How much pineapple juice does he

need?

9. A cookie recipe for 60 cookies calls

for 4 cups of flour. How much flour

is needed to make 90 cookies?

2. Jose can read 7 pages of his book

in 5 minutes. At this rate, how long

will it take him to read the entire

175-page book?

4. While exercising, Julie found that her

heart was beating 12 times every 5

seconds. How many times was it

beating per minute (60 seconds)?

6. If there are 1,200 calories in 8 oz of

hot fudge, how many calories are in

3 oz of hot fudge?

8. At a certain college, the ratio of men

to women is 6 to 5. If there are 1,500

men, how many women are there?

10.One of the world's largest stained

glass windows is at Kennedy

international Airport in New York.

It is a rectangle with a height to

length ratio of 2 to 25. If the

window is 24 feet high, how long is

it?

HI

450

PU

48

TA

1,210

KE

300

EP

12

JU

125

NK

340

IN

20

GO

136

TO

1,250

HO

6

OD

15

NE

40

ED

144

GA

38

SS

7

Did You Hear About..

A B C D E F

G H I J K L

?

Solve each exercise. Find your answer and notice the word next to it. Write this

word in the box containing the letter of the exercise.

I. Solve. Round each answer to the nearest tenth.

II. Solve. Round each answer to the nearest whole number.

(G) Tom's red bicycle travels 50 ft for every 3 pedal turns.

How many pedal turns are needed to travel a mile (5,280 ft)?

(H)For a survey, a company decided to call 7 out of every

5,000 people. How many people should be called in a town

of 78,000 people?

(I) Gloria Trench checked her gas mileage and found that

she had used 16.6 gal of gas to travel 372 mi. At this rate,

how many gallons will she use to travel from San Francisco

to Washington, D.C., a distance of 2,850 mi?

(J) A U.S. nickel contains 3.9 g of copper and 1.2 g of nickel.

How many kilograms of copper must be combined with 500

kg of nickel to make nickel coins?

(K) On the stock exchange, 100 shares of Pizzazz Corp. stock

are selling for $425. How many shares can be purchased for

$1, OOO?

(L) At Paul Bunyon's logging camp, the cook scrambled 20

eggs for every 3 loggers. How many eggs did he need for the

288 loggers at the camp?

What Is a Termite's Favorite Breakfast?

For each pair of similar figures, find the length x. Cross out the letter next to

your answer. When you finish, the answer to the title question will remain.

9. A flagpole casts a shadow 10 ft

long. If a man 6 ft tall casts a

shadow 4 ft long at the same time

of day, how tall is the flagpole?

10.A photograph is 25 cm wide and 20

cm high. It must be reduced to fit a

space that is 8 cm high. Find the

width of the reduced photograph.

What Do Centipedes Hate To Do?

Do each exercise and find your answer at the bottom of

the page. Write the letter of the exercise in the box

containing the answer.

I. Write a percent for the amount shaded.

II. Write a percent for each group

of circles.

(A) the shaded circles

(E) the unshaded circles

III. Write a percent for each ratio.

IV. Solve.

(D) There are 100 centimeters in a

meter. What percent of a meter is 30

cm?

(T) There are 100 cents in a dollar. What

percent of a dollar is $0.1 5?

(O) Of the 100 million acres in

California, the federal government

owns 45 million acres. What percent is

this?

(N) Gulliver tossed a coin 100 times and

got 43 heads. What percent of the

tosses were tails?

(F) Of 100 students surveyed, 90 chose

math as their favorite subject. What

percent chose math?

(R) A sheet of 100 stamps has 22

stamps left. What percent of the stamps

has already been used?

1% 3% 7% 10% 15% 18% 20% 24% 25% 29% 30% 33% 40% 42% 45% 48% 50%

54% 57% 59% 60% 62% 67% 71% 75% 78% 80% 83% 86% 88% 90% 96% 98% 100%

Why Did the Teacher Give One of

Her Students a Button Like This

One?

Write each answer and then find it in the corresponding set of answers. Print

the letter of the exercise in the box above the answer.

I. Write each decimal as a percent. II. Write each fraction as a percent.

7

%

20

%

33

%

36

%

4

%

50

%

47

%

1

%

16

%

90

%

65

%

11

%

82

%

91

%

5

%

14

%

40

%

44

%

10

%

17

%

81

%

60

%

3

%

42

%

10

0%

8

%

70

%

75

%

23

%

64

%

III. Write each percent as a decimal. IV. Write each percent as a fraction.

81 3 3 1 9 1 7 3 1 4 1 1 9 1

100 5 10 4 25 20 20 4 10 5 18 2 10 50

0. 0 0. 0. 0 0. 0 0. 0. 0. 0. 0. 0. 0. 0. 1 . 0 6 . 2 . 9 2 0 7 0 7 0 3

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

Why Did The Coffee Taste Like Mud?

For each exercise, circle the best estimate. Write the letter next to your answer

in the box containing the exercise number.

I. Circle the percent that tells about how much of the bar is shaded.

II. The circle graphs show the results of a student poll. Circle the best

estimate for the percent described.

13. About what percent chose hot dogs?

14. About what percent chose pizza?

15. About what percent chose chicken?

10. About what percent chose rock

music?

11. About what percent chose soul

music?

12. About what percent chose other

kinds of music?

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

What Happened to the Guy Who Ate

Ten pounds of Powdered Food for

Dinner?

Do each exercise mentally, and then find your answer in the corresponding set of answers. Write the letter of the exercise in the box containing the answer.

1. Use the chart above to find each percent mentally.

2. Use compatible numbers to estimate each number.

36 20 45 9 450 6 75 18 50 60 15 23 32 11 100 5 70 12 250 40 80 72 4 30

What Can You Use to Stick Blocks of

Snow Together?

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

Shade in each area containing a correct answer. You will learn

how to build an ice house.

17. Fabio is a video salesman. On each sale, he earns a commission

of 12%. One of his customers bought a TV for $550 and a VCR

for $400. How much did he earn in commissions?

18. Robin bought a bow and 15 arrows at Nottingham Archery

Supply. The total price was $254. In Nottingham there is a 6.5%

sales tax. How much tax did Robin pay?

Double Cross

1. What do you get when you cross a porcupine with a gopher?

2. What do you get when you cross a pelican with a lightning bolt?

To decoode the answers to these two questions: Evaluate each expression below using the values:

a 1, b 2, c 3, w 0, x 10, and y 6

Each time your answer appears in the code, write the letter of that exercise above it.

Why Did Simeon Wrench Sleep under His

Car? Simplify or evaluate each expression below, as directed. Find

your answer at the bottom of the page and write the letter of

that exercise below it.

SIMPLFY: SIMPLFY: EVALUATE IF:

a 1, m 3, x 6

(E) 8 + (9 ×3)

(A) 12 8

8

12 2 2

(K)

b 2, n 10,

7m 1

b

y 0

(I)(8 + 9) × 3 (O)3[5(48 ÷ 12)] (N)(3n – 2m)(a+b)

(A)14(10 ÷ 2) (T)

50 [3(7 1)]

2 (L)

2(n x)

n x

(Y)(12 × 3) – (9 × 2) (H)[4(30 – 5)] ÷

10 (U) x[b(m+1) – 3]

2

(T)(4 × 10) + (75 ÷ 25) (E)

12(15 3)

(20 5) (20 2) (W)

mn 5 y

a b

(E) 80 3

8 3

(D)5 + [4 ×3(2 + 1)] (O) (n a)(n b)(n m)(n n)

(P)13 + [2(9 – 6)] (W)[

6 2(8 3)

11 4 ]6

20 7 24 6 72 16 35 41 43 60 10 70 11 1 30 19 0 51 8 18

Why did the cow keep jumping over the

barrel? Translate each phrase into an algebraic expression and find your answer in the

corresponding answer column. Write the letter of that exercise in the box that containsthe number of the answer.

(E)3 times a number (18)x + 3 (S)5 times a number,

increased by 8

(O)3 more than a number (15)3x – 8 (A)5 times a number and

8

(22) 8(x + 5)

(4) 8(2x + 5)

(S)3 decreased by a

number

(19)x – 3 (H)5 more than 8 times a

number

(2) 8x + 5

(R)3 less than a number (12)3x + 8 (O)8 times the sum of a

number and 5

(A)one third of a number (3)3x (C)twice the sum of 5

times a number and 8

(13) 2(5x + 8)

(6)5x + 8

(I)8 more than 3 times a

number (N)8 less than 3 times a

(25)3 – x (T)2 more than five

eighths of a number x (W)8 times the sum of

(20)5(x + 8)

5

number (5) 3 twice a number and 5 (11)

8 x 2

(A)7 less than 4 times a

number

(1)7 – 4x (T)9 meters higher than x (7) x + 15

(S)7 decreased by 4 times

a number

(G)9 less than twice a

number

(N)9 decreased by twice a

number

(O)9 less than half a

number

(I)7 times a number,

increased by 4 (R)7 times a number

(16)2x – 9 (F)15 meters per second

slower than x

(14)7x + 4 (P)15 degrees hotter than

x

(9)4x – 7 (O)9 meters shorter than

twice length x

(8)7x + 4x (C)9 years older than

twice age x

(24)9 – 2x (H)9$ cheaper than 4

times price x x (M)9 centimeters less

(28) x + 9

(26) 4x – 9

(23) 2x – 9

(10)2x + 9

(17)x – 15

3

increased by 4 times a

number

(27) 9 2 than three fourths of x

(21) 4

x 9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

What happened to the snowman during the

heat wave? Simplify each expression below and find your answer in the corresponding

answer column. Write the letter of the exercise in the box that contains the number of the answer.

(E) 6x 9 2x

(S) 7 3x 4

(O) 8 2x 7x

(L) 8x 7 3x 2

(A) 5x x

(F) 9x 8 x

(9) 9x 8

(4) 6x

(6) 7x 7

(15) 8x 9

(19)11x 9

(25) 3x 11

(L) 4x 2 y 7 4x 3y

(E) 8y 6 8x y 3

(D) 7x 4x 6 y x 9 y

(O) 2x 5 7 y 8x 8

(M) 3y 7 5y y 1

(H) 6x 6 y 6x 7 y 4 y

(1)12x 17 y

(20)10x 7 y 13

(13) 8x 9 y 9

(14) x 6 y

(5)12x 15 y

(10) 9 y 8

(E) 6 4x 1 3x (28)10x 8 1 (T) x

2

1 x 6 y

2

(27) 8x 5y 7

(O) 3t 4u 6t (11) 7t 13u

(E)

1

n 3w 2

1

n w 2

(18) 3n 10w 12

(A) 9u 4 8t 3u

(I) 7 u 9t 5u

(P) 6t 4u t 9u

(E) 2t 4 8u 2t

(M) 3u 7t 9t u

(17) 9t 4u

(24)16t 4u

(7) 8t 12u 4

(23) 9t 6u 7

(21) 8t u 13

(M) n 8w 5w 3 5w

(O) 4w 5 3n 6w 7

(C) 2n 4w 5n w 9

(H) w w n 8w 6

(L) 6n 2n 7w 2 3n

(26) n 4w

(22) n 10w 6

(16) 7n 2w

(3) n 18w 3

(12)11n 7w 2

(F) 8t 1 u 12 (2) 4t 8u 4 (P)

3 w 7n

1 w

2 2

(8)16n 5w

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

What Did the Food Critic Say About the

Restaurants in Australia?

Find the value of each expression. Use the values for the variables given in the chart below. Write the letter of each exercise in the box under its answer.

a 1

2 b

1

3 c

3

4 d

2

5

m 2 n 5 x 6 y 10

(E) ax

(R) bx

(Y) cx

(H) ay (E) bnx (T) dy

(T) amx (H) ab (S) 24a

(E) any (E) bc (V) 24b

6 1

6

25

4 1 2

9 12 3 2 8 1

4 3 1 2

4 5 10

(T) a + b (A) a – b

(A) a + c (O) c – b

x (S)

a y

(L) b

(E) a + d (E) na (T) m – a

(B) b + d n (A)

a

4 (K) c

3

11

15 2

1 2

12 5

6

7

12

1 5

12 1

1 4

30 1

6

24

1 1 2

9

10

10

GET THE MESSAGE

For each exercise, determine whether or not the number in

braces is a solution of the given open sentence. Indicate “yes” or “no” by circling the letter in the approproate column next to

the exercise. When you finish, copy the circled letters in the row of boxes at the bottom of the page. First copy those from the column marked “yes”, then those from the column marked

“no”. a message will appear.

{number} YES NO

1. 3x + 5 = 17 4 P S

2. 7y -1 = 55 8 A T

3. 9 + 2x = 18 5 R A

4. 22= 8m – 4 3 T R

5. 6x + 3 > 26 5 I A

6. 6x + 3 > 26 4 N I

7. 6x + 3 > 26 3 S N

8. 9n – 9 < 54 7 O E

9. 6 < 12 – 5u 1 T V

10.7 < 12 – 5u 1 E D

11.8k + 4 = 6k + 14 5 I E

12.9x – 5 = 7 + 3x 2 N R

13.15 – 4n > 8 + 2n 1 G S

14.3w + 3 < 4w -17 20 W E

15.25 + a > 3a 15 T A

16.3x – 3 = x+ 20 12 H S

17.5(p + 3) = 45 6 I T

18.8(5 + 2y) = 88 3 S A

19.2(6x – 1) > 47 4 N E

20.50 > 7(1 + 7t) 1 O L

21.2(3x + 4) = 5(6 – x) 2 L M

22.4(4 + 2d) < 12d 8 E K

23.5(x + 9) = 5x + 9 0 T Y

Why Did the Actress Cut a Hole in the

Theater Floor and Dive Through?

6.5

20

4.5

28

14

42

19

10

52.

7

15

50

56

64

31

30

12

145

16

2

180

18

104

26

0

75

401

1

Complete the table for each function. Find each

answer at the bottom of the page and write the

corresponding letter above it.

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. length of an ant

R 5mm M 5cm

3. height of a basketball hoop

U 30m H 3m

5. diameter of a quarter

G 24cm O 24 mm

7. length of a tennis court

L 24m D 24 km

9. thickness of a nickel

E 20mm O 2mm

11. length of an automobile

T 5m S 50m

13. width of a dollar bill

N 66 cm P 66 mm

15. height of a door

M 20 cm B 2m

2. length of a new pencil

A 19mm O 19 cm

4. distance walked in 1 hour

K 5km B 50m

6. length of a paper clip

E 3cm S 30cm

8. distance driven on a freeway in 1 hour

U 85 km A 850 m

10. height of a dining table

K 75 m3 S 75 cm

12. length of a marathon race

T 400 m F 40 km

14. length of a sheet of typing paper

O 28cm R 28 mm

16. distance from New York to Los Angeles

D 450 km T 4500 km

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

Why are Scales like Roadmaps? Do each exercise and find your answer in the set of answers below, Write the

letter of the answer in the box containing the number of the exercise. If the

answer has a , shade in the box instead of writing a letter in it.

I. Answer each question

1. How many mm are in 1 cm? Answers 1 to 3

2. How many cm are in 1 m? T 10 H 100 E 1000

3. How many m are in 1 km? R 10,000

II. Complete each statement.

4. 2.75 m = cm Answer 4 to 11

5. 8.3 m= cm U 3,666 S 27,500

6. 41.9 cm= mm R 6,250 E 830

7. 6.25 cm= mm 419 K 2.75

8. 1.875 km= m T 40 G 1,875

9. 27.5 km= m W 275 D 41,900

10.0.4 m= cm L 18.75 H 62.5

11.3.666 m= dm 36.66 C 4000

III. Complete each statement.

12.12.5 mm = cm Answer 4 to 11 13.94 mm= cm H 0.375 R 0.094

14.375 m= km Q 0.25 W 5

15.88 m= km 6.43 O 1.25

16.643 cm= m P 500 E 0.088

17.2.5 cm= m H 2.5 A 8.8

18.250 mm= dm Y 9.4 U 0.0643

19.5000 m= km 37.5 I 0.025

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

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

K 2kL E 2L

2. A tablespoon

C 15L I 15 mL

3. An automobile gas tank

N 50 L P 5 kL

4. A swimming pool

A 80 L O 80 kL

5. A drinking glass

O 25 mL M 250 mL

6. A water cooling jug

H 20 L R 2 L

I. Complete each statement.

7. 8.5 L = mL Answer 7 to 14 8. 0.4 L= mL B 25 Y 90 9. 90,000 mL= L U 1,750 W 40,000 10.250 mL = L O 8,500 F 32 11.1.75 kL= L D 4,000 I 0.75 12.40 kL= L S 900 R 175 13.0750 L= kL G 0.25 I 400 14.3,200 L = kL T 3.2 U 7.5

III. Solve

15. Ms. Sparkle bought 12 cans of diet

soda. Each can contained 350 mL.

How many liters of soda did she

buy?

16. Chef Pierre made 6.4 L of creamed

carrot soup. If it is served in 200-

mL cups, how many cups can be

filled?

Answers 15-16

R 48 V 4.2

L 32 N 5.4

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

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.

I. Choose the more reasonable estimate of weight.

1. A nickel

M 5g N 5kg

2. A postage stamp

A 60g Y 60 mg

3. An bowling ball

B 7 kg K 70 kg

4. A lemon

X 12g W 120 g

5. A 12-year old child

Z 40 kg I 4 kg

6. A postcard

Q 75 g G 750 mg

II. Complete each statement.

7. 6.5 g = mg Answer 7 to 14 8. 0.8 g= mg H 490 L 0.133 9. 4,900 mg= g J 800 C 60,000 10.133 mg = g T 725 V 6,500 11.7.25 kg= g F 2.5 K 13.3 12.60 kg= g P 4.9 U 7,250 13.250 g= kg S 0.6 D 80 14.80,000 g = kg E 0.25 I 65

III. Solve

15. An average orange weighs 270 g. How many

kilograms does a bag of 8 oranges weigh?

16. A vitamin tablet weighs 1.2 g. It contains 150 mg of

Vitamin C and 250 mg of B Complex vitamins. How

many milligrams of other ingredients are in the

tablet?

Answers 15-16

T 1.96 O 800

F 920 R 2.16

What Kind of Car Does a Rich Baker

Driver?

Solve each problem below. Cross out the box that contains your answer. When

you finish, write the letters from the remaining boxes in the squares at the

bottom of the page.

1. Harry and Kerry started from the

same point at the same time.

They traveled in opposite

directions on their bicycles. Harry

traveled at a rate of 9 km/h, and

Kerry traveled at 11 km/hr. after

how many hours were they 60 km

apart.

2. Two trains leave Trackville at the

same time. One travels north at

90 km/h. the other travels south

at 110 km/h. after how many

hours are they 900 km apart.

3. Two steamships sailing in opposite

directions pass each other. One

ship is sailing at 32 knots

(nautical miles per hour). The

other ship is sailing at 28 knots.

After how many hours will the

ships be 150 nautical miles

apart?

4. Two jets are ttraveling towards

each other and are 3400 km

apart. One jet is flying at 875

km/h and the other at 825 km/h.

in how many hours will they pass

each other?

5. A train left podunk and traveled

west at 70 km/h. 2 hours laters.

Another train left and traveled

east at 90 km/h. how many hours

had the first traveled when they

were 1420 km apart?

6. A train left podunk and traveled

north at 75 km/h. 2 hours laters.

Another train left and traveled in

the same direction at 100 km/h.

how many hours had the first

traveled when the second train

overtook it?

7. Joe Sprout left a campsite on a

trip down the river in a canoe,

travelling at 6 km/h. four hours

later, Joe’s father set out after him

in his motorboat at 30 km/h. how

long after Joe’s father started did

he overtake the canoe?

8. In exercise 7, how far had joe

traveled down the river when his

father overtook him?

AB

30

km

AN

44

km

IG 8 h

ON

5 1 h

3

IT 2 h

OP 3 h

IO 14 h

NR BR OL WH EE LS AD

7 1

2

1 h 13 h 4 1

2

10 h 22 km

2 1

2

h h h

What Goes Ha! Ha! Ha! Thud?

Scale ! 2 cm : 3 m

This is a scale drawing of one floor in a European castle. Do each exercise and find your answer in the adjacent answer column. Write the letter of the answer in each box containing the number of the exercise.

I. One dimension is given for each room. Measure to find the other dimension to

the nearest tenth of a centimeter. 1. Ballroom 4.3 cm by U 3.6 cm N 6.0 cm

2. Library 3.2 cm by K 6.3 cm V 3.4 cm

3. Parlor 2.8 cm by S 9.1 cm O 5.5 cm

4. Foyer 2.8 cm by E 3.9 cm B 8.4 cm

5. Gallery by 6.0 cm

II. Find the actual room dimensions. ("Length" refers to the longer dimension and

"width" to the shorter dimension.)

6. Length of the ballroom 7. Width of the ballroom P 8.65 m

M 9 m

8. Length of the library 9. Width of the library A 5.4 m

C 13.25 m

10.Length of the parlor 11.Width of the parlor D 6.45 m

H 5.85 m

F 4.2 m

I 13.65 m

L 8.25 m

T 6.15 m

R 5.1 m

G 4.8 m

12. Length of the foyer 13.Width of the foyer

12 8 12 2 10 12 4 9 13 6 2 9 13 6 1 13 5 12 7 3 11 11

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.

II. Solve

7. The base of a parallelogram is

10 in. The height is 2 in. more

than half the base. Find the

area.

9. The area of a parallelogram is

60 ft? The height is 5 ft. How

long is the base?

8. The height of a parallelogram is

4.5 cm. The base is twice the

height. What is the area?

10. The area of a parallelogram is

375 cm. the base is 25 cm. find

the height.

T

31.6 cm

SH

17.4 cm

HE

33.8 cm

RE

15 cm

E

32 in2

WE

56 m

WA

1.38 m2

IT

70 in2

SC

37.6

cm2

A

180 m2

NT

12 ft

EN

18 m

DA

380 ft

RE

1.26 m2

AL

16.32

cm2

T

16 ft

PR

5.4 m

IM

350 ft

V

39.06

cm2

ET

84 in2

TY

40.5

cm2

IS

26 in

ER

6.3 m

IT

8,100

ft2

Why Was Igor Unhappy About His Spelling

Test 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, and then circle the number-letter next to it. Write the letter in the

matching numbered box at the bottom of the page.

10.Rectangle with sides

22 cm and 28 cm

11.Square with sides

measuring 12 in

12. Right triangle with

sides of 8m, 15 m

and 17m

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

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

7. B1 = 11 in 8. B1 = 3.4 m 9. B1 = 70 cm

B2 = 9 in H = 8 in

B2 = 6.4 m H = 5.0 m

B2 = 30 cm H = 25 cm

II. An artist designed a base for one of his sculptures with the dimensions shown. T-he top and bottom are rectangles. The sides are isosceles trapezoids.

10. Find the area of the front face (20 cm base).

11. Find the area of the side face (1 2 cm base).

12. Find the area of the top.

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.

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

III. Solve

6 11 3 10 3 10 1 9 5 3 7 2 8 11 7 9 4

10.A bedroom in 15 ft long and 12

ft wide. How much will it cost to

carpet the room if carpeting

costs $22 per yard squared.

(1yd = 3ft)

11.A rose garden in the city park is

rectangular is 9 m wide. If the

area of the rectangle is 144 m2,

what is the length?