Hoffkids Math HW is Pretty Cool!

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CLICK ME FOR 7 PROBLEM SOLVING STRATEGIES

YOU MUST READ THIS BEFORE PRINTING:

To PRINT the questions you are doing, highlight the question # and question, as well as any space beneath the question to show your work.

At the top of the screen go to "FILE," "PRINT," and then under "PAGE RANGE" click "SELECTION" and then hit "PRINT."

Work on your printed copy, & bring the questions & work (in pencil) to class the next day.

Jump to Questions: [10-19] [20-29] [30-39] [40-49] [50-59]

"YOUR NAME MAY APPEAR IN A WORD PROBLEM BELOW"

Jeff went outside to play kickball in front of his house at 9:50 A.M. He came back inside his house at 11:17 A.M. How long was Jeff outside?

Leslie was doing her math homework when she suddenly fell asleep. She fell asleep at 7:47 P.M. She awoke from her nap at 9:23 P.M. How long was Leslie asleep?

Peter was counting jellybeans and discovered he had 800 groups of jellybeans. Each group had 40 jellybeans. Help Peter get the total number of jellybeans using mental math.

Christina called up Grace and told her that "all of the following numbers have a product that is odd, except one of them. I could multiply each problem out, but there must be an easier way!"

Which product below is even? Then IN WORDS explain how you can figure out if they are even or odd WITHOUT completely working out the problems.

A 9 x 7 B 15 x 13 C 14 x 25 D 19 x 5

Explain here: _____________________________________

________________________________________________

Nick claimed that 14 x 23 x 2 = 2 x 23 x 14

Part A Is Nick correct? ________________

Part B On the lines below tell which property helped you to immediately tell if the equation above was correct or incorrect.

_______________________________________________

Aeduk wants to know; "Which one of these numbers would most likely not be an estimate?"

A the population of a city B the price of a television

C the area of a forest D the length in miles of a coastline

In the Port Washington School District in 2006, there were 32 different buses available. Each bus costs $41,777 per year for the school district. Estimate how much per year Port spent on buses.

The moon is about 240,000 miles from Earth. About how long would it take Matt to fly to the moon, if he traveled at a speed of 39,158 miles per day?

Maria was born in 1993. She wants to know in what year she will have her 21st birthday.

Part A In what year will Maria turn 21? _____________

Part B On Maria's birthday in 2007, Maria's father will be 4 times as old as Maria.

How old will Maria's father be?

Show your work:

#10

Fill in the blanks with sometimes (S), always (A), or never (N).

a. A positive integer is ____ greater than a negative integer.

b. The absolute value of a positive integer is ____ greater than the absolute value of a negative integer.

c. If two integers are positive, the one closer to zero is ____ greater.

d. Zero is ____ greater than any negative integer.

#11

Use the inequality symbols >, < or = to compare each pair of numbers.

| 5| | -5| | -56| | -61| | -1| 0

#12

Emily is playing a game called "What Integer am I?" She is given the 2 clues below. Help Emily find the integer.

- The absolute value of me is 35.

- I am to the right of zero on a number line.

What integer am I? ___________________

#13

Ignacia is explaining to Jordan about what absolute value is because he was absent from class due to a music lesson (he plays the harmonica). If you were Ignacia, explain to Jordan what Absolute Value is. (you should include numbers and words in your explanation.)

_______________________________________________

#14

Julia has 192 marbles. Which expression equals the number of marbles?

Show all work.

A) 3 x 2⁶

B) 6² x 3

C) 3⁶ x 2

D) 3 x 3 x 2

#15

Jorge wants you to evaluate the following expression.

Show all work.

3²x 2⁴ x 7²

#16

Answer questions a through d about 100 + c = 201

a) Is this an expression or an equation? ________________

b) Explain why you answered the way you did in question a:

_______________________________________________

c) Identify the variable(s): ______________

d) Identify the constant(s): _____________

e) Create your own expression with two constants and one variable of your choice: ___________________________

f) Create your own equation with at least two constants and at least one variable of your choice: ___________________________

#17

Evaluate the expression (a² + 5) - b when a = 6 & b = 26.

show your work.

#18

a) What are the "three steps to using a formula?"

step 1) ___________________________

2) ___________________________

3) ___________________________

#19 Use the 3 step formula process.

A rectangular shipping container is 5 meters wide (w), 9 meters long (l), and 6 meters high (h). What is its volume? Volume of a rectangular prism = lwh

#20

Jack was using a computer that copied a file in seven-hundredths of a second. Write seven-hundredths as a decimal.

#21

Sara buys a shirt at the mall. Rounded to the nearest dollar, the shirt costs $47. What is the lowest amount the shirt could have cost? Explain your answer in writing.

A 46.50 B 46.90 C 46.51 D 46.60

_______________________________________________

#22

Carmine added 24.5 and 4.36 this way

PART A

Explain what the error is and how to correct it.

_______________________________________________

PART B

Add 24.5 and 4.36. Show your work.

#23 Solve each problem in your Math HW section showing all work like class. ESTIMATE 1st. Round to hundredths if needed.

Steps to divide for decimal answers

Step 1) ESTIMATE FIRST! (“Easy for me” is best)

Step 2) Put the decimal point in the dividend & annex some zeros

Step 3) Bring the decimal up ↑

Step 4) Divide * if goes on, round to HUNDREDTHS

Step 5) Check with estimate

a) 44 ÷ 5

b) 9 ÷ 5

c) 700 ÷ 8

d) 105 mL of soda needed to be shared equally among 12 friends. How much soda would each friend get?

e) 2 ÷ 5

f) 6 ÷ 9

g) $6 was split up among 20 kids. How much did each kid get?

h) 8 ÷ 10

#24

Solve showing all work

a) 33.3 – 2.5 =

b) 5.02 + .8 + 16 =

c) A tank holds 89.5 ounces of water. It will be used to fill containers that each hold 1.71 ounces each. Find an estimate of the number of containers needed to hold all the water. Show all work.

#25

Aaron was reading a short book called The First Twenty Prime Numbers; a guide to 6th grade fun.

On the first page of the book, the author challenges the reader to list the first twenty prime numbers.

Now the challenge is on you!

List the first twenty prime numbers in ascending order.

#26

Sabrina's grandfather said, " My age is the only prime number between 55 and 60."

PART A

How old is Sabrina's grandfather?

Answer: _________ years old

PART B Explain on the lines below how you know your answer is correct.

_______________________________________________

#27 **6th grade CHALLENGE PROBLEM**

PROCEED WITH CAUTION...Are you up for it??

Joel and Jacob are brothers. This year both of their ages are prime numbers.

Last year both their ages were composite numbers. Both of their ages will be composite numbers again for each of the next three years.

If Joel and Jacob are both teenagers and not the same age, how old are they now?

#28

Bettina's soccer team won 4/5 of the games they played. Michael's team won a fraction of their games equal to Bettina's team. Which fraction could represent Michael's team?

A 5/4 B 4/10 C 12/15 D 2/5

#29

EJ loves bird watching. Below is a chart recorded by EJ keeping track of the number of each bird he saw.

Day	Type of Bird	Number seen
Monday	Blue bird	2
Tuesday	Sparrow	4
Wednesday	Hawk	2
Thursday	Falcon	0
Friday	Eagle	4

PART A

What fraction of all the birds seen that week by EJ are sparrows? Write your fraction in lowest terms.

Show your work:

Answer______________

PART B On the lines below, explain how you found your answer.

_______________________________________________

#30

Clare collects miniature toys. She arranged them by height from shortest to tallest.

In what order are they? Show all work!

A 7/8 in., 3/4 in., 1/2 in., 3/8 in.

B 7/8 in., 3/8 in., 3/4 in., 1/2 in.

C 3/8 in., 1/2 in., 3/4 in., 7/8 in.

D 1/2 in., 3/4 in., 3/8 in., 7/8 in.

#31

Philip enjoys playing many sports. He played

basketball for 1 and 7/8 days

baseball for 1 and ¾ days

tennis for 1 and 9/16 days

hockey for 2 and 3/5 days

and water polo for 2 and 5/7 days.

PART A

Put the sports (mixed numbers) in order from the shortest to the longest amount of time.

Show your work:

Answer_________________________________

PART B On the lines below, explain how you found your answer.

_______________________________________________

#32

VENN DIAGRAM H.W.

For this homework, there are 5 Venn Diagram questions. Press the "Click me for Questions" link below to have the questions come up in Acrobat Reader.

Print and work on them, and bring them to class tomorrow.

Click me for Questions.

#33 DO NOT PRINT THIS QUESTION.

Copy each 2 step algebraic problem in your Math HW section leaving space. Then solve showing each step, and do a complete check.

A) 4x - 8 =20

B) 18 = 3y + 6

C) 26 = 5a + 11

D) 9m + 6 = 105

E) 11x - 14 = 63

F) 18t - 7 = 83

G) 33 = 7w + 5

H) 79 = 5f - 1

I) 7J - 11 = 80

J) 5x +3 = 28

K) 3x + 17 = 20

L) 7h - 3 = 32

M) 26 = 4y + 2

N) 7m +3 = 101

O) 11x - 16 = 61

P) 76 = 5x - 4

Q) 3y - 4 = 47

#34

Create an algebraic equation and solve.

#1 Mara wants to buy a pair of roller blades for $98. She already has $30. If she earns $4 per hour as a cashier, how many hours must she work to earn the money she needs?

Create an algebraic equation and solve.

#2 Kenny began a card collection with 15 cards. Each month he plans on purchasing 6 additional cards. Write and solve an equation where m represents the number of months it will take Kenny to collect 57 cards. Solve your equation and show your work.

#35

1a) Linda delivered 10 more than three times the number of papers Ken delivered. Linda delivered 103 papers.

Create an equation that can be used to find the number of papers, p, that Ken delivered. ________________________________

1b) How many papers did Ken deliver? show all work

__________

2a) Zach has 4 less than half as many hats as Arthur. Zach has 5 hats. Create an equation that can be used to find the number of hats, h, that Arthur has. _____________________

2b) How many pairs of shoes does Dalia have? show all work ______

3) Corrine has a certain amount of money, M, in her savings account. If she doubles the amount and saves $150 more she will meet her goal of $500.

Part A) Below are 4 equations. Tell which equation correctly represents the information above. answer:______________________

2M - $150 = $500

$500 + 2M = $500

2M + $150 = $500

M + 2 x $150 = $500

Part B) Explain in writing why your choice is the best of the four: ________________________________________________

________________________________________________

Luke has a mallard duck who had 13 ducklings. Five of the ducklings are male. What is the ratio of male to female ducklings?

Rakina planted 5 bean plants and 12 tomato plants in her garden. What is the ratio of bean plants to tomato plants?

Rika was looking at a brochure about Hofstra University. In the brochure, she read that there are 30 students for every 2 professors in a class. What is the student to professor ratio?

A United States flag is 3 feet wide and 5.7 feet long. Carly wants to know: What is the ratio of the length of the flag to the width of the flag?

Jackie was doing research about telephones. In a recent year on Long Island, there were 88 telephones for every 100 people. What was the ratio (in lowest terms) of phones to people?

Iris went to a circus. For every 12 pie slices sold at the Circus Cafe, 4 are cherry. Find one equal ratio using multiplication and one equal ratio using division.

Lois loves softball. She hit the ball 3/5 of the times in which she attempted to hit it. Which other ratio below is equivalent to the number of hits Lois made?

A 6/15 B 9/15 C 12/25 D 18/20

Two stores both sell electronics. Sam's Electronics has 42 DVD players and 6 CD players. Janice's Electronics has 14 DVD players and 2 CD players.

PART A

On the lines below, explain whether or not you know if both stores have the same ratio of DVD players to CD players?

_______________________________________________

PART B

What do you call two ratios that are equal? ______________

Genevieve earns $12 in 3 hours and $28 in 7 hours.

On the lines below, explain whether or not this is a proportional relationship, and explain the method that helped you to know you are correct.

Show your work

_______________________________________________

While exercising, James found that his heart was beating 14 times every 5 seconds. Solve the missing piece of the proportion to tell how many times it was beating (x) per 60 seconds.

Show your work

Jonathan was having a huge party with a total of 200 kids! There were a lot of exciting games there. One game was called "Red/Blue." When the whistle sounds, kids run into either a big red circle or a big blue circle. When the whistle sounded, all the kids went into either the red or blue circle. Jonathan saw that 80 kids went into the red circle.

PART A

What percent of the total kids went into the red circle?

Show your work

Answer ____________ %

PART B

What percent of the total kids went into the blue circle?

Show your work

Answer ____________ %

Mitch was interested in buying a new bike for himself because he was working so hard in school. He had $179.00 with him that he had saved in his piggy bank.

Mitch saw the Trek bike he wanted to buy at Port Washington Cycles and it was priced at $300.00 This made him very upset. As he left the store the salesman said: "It is your lucky day! Because you have done so well in 6th grade, I will only charge you 60% of the original price."

Part A

What is the new price the salesman will charge Mitch?

show your work

new price =___________$

Part B

Explain if Mitch has enough money with him to purchase the bike.

_______________________________________________

Emily and her cousin Ralph both had some jellybeans. Emily was having a discussion with her cousin Ralph as to who ate more jellybeans. Emily said she ate 1/3 of her 60 jellybeans. Ralph ate 20% of his 80 jellybeans.

Determine how many jellybeans each person ate, and tell who ate more of their jellybeans.

show your work

Answer__________________ ate more of their jellybeans

# Use the 3 step formula process.

The formula can be used to find the temperature in degrees Fahrenheit when the temperature in degrees Celsius is known.

A thermometer reads 37°C. What is that temperature in degrees Fahrenheit?

Show your work.

Answer ___________________

# Use the 3 step formula process.

Andy has $400 in a bank account that pays interest at a rate of 5% annually (each year). How much interest will the account earn in 2 years? Use I =prt.

Show your work.

Choose a word under each operation column (+,-,x,÷) from today's class. Create 1 math sentence with that word in it for each operation. Try to use a new or "more advanced" word.

Example:

Adding: I usually receive a $10 allowance, but it was just increased by $5. (this would be $10 + $5)

your turn:

Adding: __________________________________________

________________________________________________

Subtracting: ______________________________________

________________________________________________

Multiplying: ______________________________________

________________________________________________

Dividing: ________________________________________

________________________________________________

Using the letter n as the variable for "a number," write the algebraic expression for each phrase.

Phrase Algebraic Expression

A number decreased by 6 ____________________

4 times a number, decreased by three _________________

3 less than twice a number ___________________

Three-fourths of a number ___________________

The sum of t and n divided by 6 ____________________

Doriana threw the golf ball 7 more than triple the number of feet (y) that Michelle threw. Write an expression that can be used to find the number of feet Doriana threw the golf ball.

_______________________________________________

Matt was given coupons for free DVD movie rentals as a holiday gift. Each coupon gives him 14 free movies. If Matt has n coupons, which algebraic expression represents the number of movies can he get?

Multiple choice:

A n + 14

B n - 14

C 14n

# *THE GREAT BRICK CHALLENGE*

DON'T GIVE UP!

Answer: ________________ pounds for two bricks

# Tim bought a container with 3/4 of a gallon of red paint. He accidentally spilled 2/3 of his paint. How much paint did Tim spill?

Show all work.

# Chris is building a rectangular prism out of wooden cubes.

Each cube is 1 cubic cm.

What is the volume of Chris' rectangular prism?

Kim is food shopping and has 15 items in her shopping cart. She plans on getting 75 total items during her food shopping trip. What percent of the total number of items has Kim already gotten during food shopping?

show all work.

# Find the area of the figure.

# MAKING PREDICTIONS WITH DATA

In the 6th grade, 22 out of 40 students surveyed said they owned a cell phone. There are 300 students in the 6th grade. What is a good prediction of the number of students who own a cell phone?

A 55 students B 65 students

C 165 students D 175 students

Directions: Copy each problem in your notebook.

Show all long division work.

1) 10.58 ÷ 2.3 =

2) 2.24 ÷ .8 =

3) 98.6 ÷ 2.9 =

4) 422.1 ÷ 60.3 =

5) A pharmacist has 808.4 g of a generic medicine. She must fill capsules with 37.6 g of the medicine per capsule. How many capsules can she fill? Show all work.

Thank you to all the students who help to make this an ongoing area of improvement, and for letting me use your name in a word problem (even though I never asked).